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11 The circles with centres C1 and C2 have equal radii of length r cm. The line C1C2 is a radius of both circles. The two circles intersect at A and B. (a) Given that the perimeter of the shaded region is 4rcm, find the value of r. [4] (b) Find the exact

O levels ADD MATHS 4037/22/M/J/20

10 (a) The first 5 terms of a sequence are given below. (i) Find the 20th term of the sequence. [2] (ii) Explain why the sum to infinity exists for this sequence and find the value of this sum.

O levels ADD MATHS 4037/22/M/J/20

9 (a) Solve the equation (b) Solve this equation for b, giving your answers in terms of a. [5]

O levels ADD MATHS 4037/22/M/J/20

8 (a) Solve (b) Show that

O levels ADD MATHS 4037/22/M/J/20

7 Giving your answer in its simplest form, find the exact value of

O levels ADD MATHS 4037/22/M/J/20

6 (a) Find the equation of the tangent to the curve Give your answer in the form where a, b and c are integers. (b) This tangent intersects the x-axis at P and the y-axis at Q. Find the length of PQ. [2]

O levels ADD MATHS 4037/22/M/J/20

5 Solutions to this question by accurate drawing will not be accepted. The points A and B are (4, 3) and (12, −7) respectively. (a) Find the equation of the line L, the perpendicular bisector of the line AB. [4] (b) The line parallel to AB which passes th

O levels ADD MATHS 4037/22/M/J/20

4 The three roots of p( )x = 0, where , where a, b, c and n are integers. The y-intercept of the graph of y = p( )x is 4. Find p( )x , simplifying your coefficients

O levels ADD MATHS 4037/22/M/J/20

3 Find the values of k for which the line y intersects the curve y at two distinct points. [6]

O levels ADD MATHS 4037/22/M/J/20

2 DO NOT USE A CALCULATOR IN THIS QUESTION. The point Find the exact value of p, simplifying your answer.

O levels ADD MATHS 4037/22/M/J/20

1 Variables x and y are such that y x sin e . x = + - Use differentiation to find the approximate change in y as x increases from 4 r to h, 4 r + where h is small.

O levels ADD MATHS 4037/22/M/J/20

10 (a) Solve radians, giving your answers in terms of r. [4] (b) Use your answers to part (a) to sketch the graph of y r - radians on the axes below. Show the coordinates of the points where the curve meets the axes.

O levels ADD MATHS 4037/12/M/J/20

9 (a) A particle P moves in a straight line such that its displacement, xm, from a fixed point O at time ts is given by x t = - 10 sin 2 5. (i) Find the speed of P when t = r. [1] (ii) Find the value of t for which P is first at rest. [2] (iii) Find th

O levels ADD MATHS 4037/12/M/J/20

8 The diagram shows a triangle OAB such that OA = a and OB = b. The point P lies on OA such that OP OA 4 3 = . The point Q is the mid-point of AB. The lines OB and PQ are extended to meet at the point R. Find, in terms of a and b

O levels ADD MATHS 4037/12/M/J/20

7 (a) Given that y show that where A, B and C are integers. (b) Find the coordinates of the stationary point of the curve y Give each coordinate correct to 2 significant figures. (c) Determine the nature of this stationary point. [2]

O levels ADD MATHS 4037/12/M/J/20

6 The diagram shows the straight line and part of the curve The straight line intersects the x-axis at the point A and intersects the curve at the point B. The point C lies on the curve. The point D has coordinates ( , 1 0). The line CD is parallel to

O levels ADD MATHS 4037/12/M/J/20

5 (a) Find the range of f. [1] (b) Explain why f has an inverse. [1] (c) Find f-1. [3] (d) State the domain of f-1. [1] (e) Given that

O levels ADD MATHS 4037/12/M/J/20

4 (a) (i) Find how many different 5-digit numbers can be formed using the digits 1, 2, 3, 5, 7 and 8, if each digit may be used only once in any number. [1] (ii) How many of the numbers found in part (i) are not divisible by 5? [1] (iii) How many of the

O levels ADD MATHS 4037/12/M/J/20

3 (a) Find the first 3 terms in the expansion of in ascending powers of x. Give each term in its simplest form. [3] (b) Hence find the term independent of x in the expansion of

O levels ADD MATHS 4037/12/M/J/20

2 The volume, V, of a sphere of radius r is given by V The radius, r cm, of a sphere is increasing at the rate of 0.5cms-1. Find, in terms of r, the rate of change of the volume of the sphere when r = 0 2. 5.

O levels ADD MATHS 4037/12/M/J/20

1 On the axes below, sketch the graph of y showing the coordinates of the points where the curve meets the axes.

O levels ADD MATHS 4037/12/M/J/20

11 Do not use a calculator in this question. Solve the quadratic equation giving your answers in the form where a and b are constants.

O levels ADD MATHS 4037/22/O/N/19

10 (i) Given that y (ii) Find the coordinates of the stationary point on the curve y (iii) Using your answer to part (i), find (iv) Hence evaluate

O levels ADD MATHS 4037/22/O/N/19

9 The diagram shows the points A (–3, 5) and B (5, –1). The mid-point of AB is M and the line PM is perpendicular to AB. The point P has coordinates (r, s). (i) Find the equation of the line PM in the form y m = +x c, where m and c are exact constants. [5

O levels ADD MATHS 4037/22/O/N/19

8 (i) A particle A travels with a speed of 6.5ms–1 in the direction - - 5 1 i j 2 . Find the velocity (ii) A particle B travels with velocity v = - 12i j 9 B . Find the speed, in ms–1, of B. [2] Particle A starts moving from the point with position vector

O levels ADD MATHS 4037/22/O/N/19

7 (a) The cubic equation has three positive integer roots. Two of the roots are 2 and 4. Find the other root and the value of each of the integers a and b. [4] (b) Do not use a calculator in this question. Solve the equation given that it has three inte

O levels ADD MATHS 4037/22/O/N/19

6 (i) Show that (ii) Hence solve the equation

O levels ADD MATHS 4037/22/O/N/19

5 At the point where x = 1 on the curve y the normal has a gradient of (i) Find the value of the constant k. [4] (ii) Using your value of k, find the equation of the tangent to the curve at x = 2.

O levels ADD MATHS 4037/22/O/N/19

4 Find the values of k for which the line y does not meet the curve y

O levels ADD MATHS 4037/22/O/N/19

3 A 5-digit code is formed using the following characters. No character can be repeated in a code. Find the number of possible codes if (i) there are no restrictions, [2] (ii) the code starts with a symbol followed by two letters and then two numbers, [2]

O levels ADD MATHS 4037/22/O/N/19

2 Given that y show that where k is a constant to be determined.

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1 On each of the Venn diagrams below, shade the region indicated.

O levels ADD MATHS 4037/22/O/N/19

11 A curve is such that Given that the curve has a gradient of 6 at the point (3, 11), find the equation of the curve.

O levels ADD MATHS 4037/12/O/N/19

10 The diagram shows a circle centre O, radius 10 cm. The points A, B and C lie on the circumference of the circle such that AB = BC = 18cm. (i) Show that angle AOB = 2 2. 4 radians correct to 2 decimal places. [3] (ii) Find the perimeter of the shaded re

O levels ADD MATHS 4037/12/O/N/19

9 A solid circular cylinder has a base radius of r cm and a height of h cm. The cylinder has a volume of 1200 cm3 r and a total surface area of Scm2.

O levels ADD MATHS 4037/12/O/N/19

8 (a) Five teams took part in a competition in which each team played each of the other 4 teams. The following table represents the results after all the matches had been played. Points in the competition were awarded to the teams as follows 4 for each m

O levels ADD MATHS 4037/12/O/N/19

7 It is given that y (i) Find d y /d x .(ii) Find the approximate change in y as x increases from 0.5 to 0 5. +p, where p is small. [2] (iii) Given that y is increasing at a rate of 2 units per second when x = 0 5. , find the corresponding rate of change

O levels ADD MATHS 4037/12/O/N/19

6 (a) Write where a, b and c are constants. (b) Solve

O levels ADD MATHS 4037/12/O/N/19

5 (a) It is given that Identify each of the following functions with one of (b) It is given that where a and b are constants. (i) Why is not a suitable domain for h(x)? [1] (ii) Given that find the value of a and of b.

O levels ADD MATHS 4037/12/O/N/19

4 (i) On the axes below, sketch the graph of y showing the coordinates of the points where the graph meets the axes. [4] (ii) Find the values of k for which has exactly 2 solutions

O levels ADD MATHS 4037/12/O/N/19

3 The first three terms in the expansion of can be written as Find the value of each of the constants a and b. [6]

O levels ADD MATHS 4037/12/O/N/19

2 When lg y 2 is plotted against x, a straight line is obtained passing through the points (5, 12) and (3, 20). Find y in terms of x, giving your answer in the form y 10ax b = + , where a and b are integers.

O levels ADD MATHS 4037/12/O/N/19

1 (i) On the axes below, sketch the graph of y (ii) Write down the amplitude of (iii) Write down the period of

O levels ADD MATHS 4037/12/O/N/19

12 (a) The functions f and g are defined by (i) State the range of g. [1] (ii) Find the domain of gf. [1] (iii) Showing all your working, find the exact solutions of (b) The function h is defined by

O levels ADD MATHS 4037/22/M/J/19

11 The velocity of a particle travelling in a straight line, t seconds after passing through a fixed point O, is given by v (i) Explain why the direction of motion of the particle never changes. [1] (ii) Showing all your working, find the acceleration of

O levels ADD MATHS 4037/22/M/J/19

10 (a) Find the unit vector in the direction (b) The position vectors of points A and B relative to an origin O are respectively. The point C lies on AB such that AC : CB is 2 : 1. (i) Find the position vector of C relative to O.

O levels ADD MATHS 4037/22/M/J/19

9 (a) Solve (b) (i) Show that, for can be written in the form a y sin , where a is an integer. (ii) Hence solve

O levels ADD MATHS 4037/22/M/J/19

8 (a) In the binomial expansion of the coefficient of x3 is 120 times the coefficient of x5 . Find the possible values of the constant a. (b) (i) Expand

O levels ADD MATHS 4037/22/M/J/19

7 (a) Solve (b) (i) Show that, for a may be written where k is an integer. [3] (ii) Hence find

O levels ADD MATHS 4037/22/M/J/19

6 (a) State the order of the matrix (ii) Hence, given that ABA = I, find the matrix B. [3]

O levels ADD MATHS 4037/22/M/J/19

5 (i) Express where p, q and r are constants. (ii) Hence state the least value of and the value of x at which this occurs

O levels ADD MATHS 4037/22/M/J/19

4 A circle has diameter x which is increasing at a constant rate of 0 0. c 1 m s-1 . Find the exact rate of change of the area of the circle when x = 6 cm.

O levels ADD MATHS 4037/22/M/J/19

3 (i) Given that x-2 is a factor of use the factor theorem to show that a = 4. [2] (ii) Showing all your working, factorise and hence solve

O levels ADD MATHS 4037/22/M/J/19

2 Find the values of k for which the equation has real and distinct roots.

O levels ADD MATHS 4037/22/M/J/19

1 Given that y find an expression for d y /d x .

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11 The normal to the curve y at the point where x meets the y-axis at the point P. Find the exact coordinates of the point P. [7]

O levels ADD MATHS 4037/12/M/J/19

10 The diagram shows an open container in the shape of a cuboid of width x cm, length 4x cm and height h cm. The volume of the container is 800cm3. (i) Show that the external surface area, S cm2, of the open container is such that S (ii) Given that x can

O levels ADD MATHS 4037/12/M/J/19

9 The diagram shows the curve y intersecting the line y = 5 at the points P and Q. (i) Find, in terms of r, the x-coordinate of P and of Q. (ii) Find the exact area of the shaded region. You must show all your working. [6]

O levels ADD MATHS 4037/12/M/J/19

8 When e y is plotted against 1 / x , a straight line graph passing through the points (2,20) and (4, 8) is obtained. (i) Find y in terms of x. [5] (ii) Hence find the positive values of x for which y is defined. [1] (iii) Find the exact value of y when

O levels ADD MATHS 4037/12/M/J/19

7 A pilot wishes to fly his plane from a point A to a point B on a bearing of 055°. There is a wind blowing at 120kmh–1 from the west. The plane can fly at 650kmh–1 in still air. (i) Find the direction in which the pilot must fly his plane in order to rea

O levels ADD MATHS 4037/12/M/J/19

6 (a) Eight books are to be arranged on a shelf. There are 4 mathematics books, 3 geography books and 1 French book. (i) Find the number of different arrangements of the books if there are no restrictions. [1] (ii) Find the number of different arrangeme

O levels ADD MATHS 4037/12/M/J/19

5 The diagram shows the right-angled triangle OAB. The point C lies on the line OB. Angle OAB 2 r = radians and angle AOB = i radians. AC is an arc of the circle, centre O, radius 12 cm and AC has length 9.6cm. (i) Find the value of i. [2] (ii) Find the a

O levels ADD MATHS 4037/12/M/J/19

4 (a) Given that can be written in the form find the value of each of the constants a, b and c. (b) Solve

O levels ADD MATHS 4037/12/M/J/19

3 The number, B, of a certain type of bacteria at time t days can be described by B (i) Find the value of B when t = 0. [1] (ii) At the instant when (iii) Using the substitution u

O levels ADD MATHS 4037/12/M/J/19

2 Do not use a calculator in this question. Find the coordinates of the points of intersection of the curve y and the line y

O levels ADD MATHS 4037/12/M/J/19

1 (a) On the Venn diagrams below, shade the region indicated.

O levels ADD MATHS 4037/12/M/J/19

12 A plane that can travel at 260km/h in still air heads due North. A wind with speed 40km/h from a bearing of 310° blows the plane off course. Find the resultant speed of the plane and its direction as a bearing correct to 1 decimal place.

O levels ADD MATHS 4037/22/O/N/18

11 The functions f and g are defined for real values of x

O levels ADD MATHS 4037/22/O/N/18

10 Two lines are tangents to the curve y The equation of each tangent is of the form where k is a constant. (i) Find the two possible values of k. (ii) Find the coordinates of the point of intersection of the two tangents. [4]

O levels ADD MATHS 4037/22/O/N/18

9 The diagram shows part of the curve y The normal to the curve at the point A (4, 4) meets the x-axis at the point B. (i) Find the equation of the line AB. [4] (ii) Find the coordinates of B iii) Showing all your working, find the area of the shaded regi

O levels ADD MATHS 4037/22/O/N/18

8 (i) Show that (ii) Hence solve the equation

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7 Solve the quadratic equation giving your answer in the form where a and b are constants.

O levels ADD MATHS 4037/22/O/N/18

6 (a) A 5-character code is to be formed from the 13 characters shown below. Each character may be used once only in any code. Find the number of different codes in which no two letters follow each other and no two numbers follow each other.

O levels ADD MATHS 4037/22/O/N/18

5 Solve the simultaneous equations

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4 Solve (i)

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3 A curve has equation y Find (i) dy / dx , (ii) the equation of the tangent to the curve at the point where x

O levels ADD MATHS 4037/22/O/N/18

2 There are 105 boys in a year group at a school. Some boys play football (F) and some play cricket (C). Complete the Venn diagram and find the value of x. [5]

O levels ADD MATHS 4037/22/O/N/18

1 Solve the inequality

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12 The line y intersects the curve y at the points A and B. Find the coordinates of the point where the perpendicular bisector of the line AB intersects the line y =x

O levels ADD MATHS 4037/12/O/N/18

11 The diagram shows the sector OPQ of a circle, centre O, radius r cm, where angle POQ = i radians. The perimeter of the sector is 10cm. (i) Show that area, Acm2, of the sector is given by AIt is given that i can vary and A has a maximum value. (ii) Fin

O levels ADD MATHS 4037/12/O/N/18

10 The diagram shows part of the curve y where a and b are positive constants. The curve meets the y-axis at the point ( , 0 6) and the x-axis at the point The curve meets the x-axis again at the point P and has a minimum at the point M. (i) Find the v

O levels ADD MATHS 4037/12/O/N/18

9 The polynomial is divisible by x+3. It is given that (i) Find the value of each of the constants a, b and c. [6] (ii) Using your values of a, b and c, find the remainder when p( x) is divided by 2x-1 .

O levels ADD MATHS 4037/12/O/N/18

8 A (i) Find the values of the constant a for which A-1 does not exist. [3] (ii) Given that a = 4, find A-1 . [2] (iii) Hence find the matrix B such that AB

O levels ADD MATHS 4037/12/O/N/18

7 (a) The vector v has a magnitude of 39 units and is in the same direction as Write v in the form where a and b are constants. (b) Vectors p and q are such that , where r and s are constants. Given that find the value of r and of s.

O levels ADD MATHS 4037/12/O/N/18

6 (i) Find (ii) Using your answer to part (i), find (iii) Hence find

O levels ADD MATHS 4037/12/O/N/18

5 The 7th term in the expansion of in ascending powers of x is . It is given that a and b are positive constants. (i) Show that b

O levels ADD MATHS 4037/12/O/N/18

4 y (i) Find the value of dy/dx when x = 0 3. . You must show all your working.

O levels ADD MATHS 4037/12/O/N/18

3 (i) On the axes below, sketch the graph of y showing the coordinates of the points where the graph meets the coordinate axes. (ii) Solve (iii) Hence find the values of x for which

O levels ADD MATHS 4037/12/O/N/18

2 Find the equation of the curve which has a gradient of 4 at the point ( , 0 3 - ) and is such that

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1 Solve

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12 In this question all lengths are in centimetres. The volume of a cone of height h and base radius r is given by V A water cup is in the shape of a cone with its axis vertical. The diagrams show the cup and its cross-section. The vertical angle of the c

O levels ADD MATHS 4037/22/M/J/18

11 (a) Find (b) (i) Find (ii) Hence evaluate (c) Show that

O levels ADD MATHS 4037/22/M/J/18

10 (a) (i) On the axes below, sketch the graph of y showing the coordinates of the points where the curve meets the x-axis. (ii) Write down a suitable domain for the function f(x) such that f has an inverse. (b) The functions g and h are defined by

O levels ADD MATHS 4037/22/M/J/18

9 (i) Differentiate h with respect to x (ii) Hence find

O levels ADD MATHS 4037/22/M/J/18

8 (a) A and B (b) The matrix X is such that XC = D, where C (i) State the order of the matrix C. [1] (ii) Find the matrix X

O levels ADD MATHS 4037/22/M/J/18

7 Vectors i and j are vectors parallel to the x-axis and y-axis respectively. Given that (i) the exact value of (ii) the value of the constant m such that is parallel to j, is parallel to j, (iii) the value of the constant n such that

O levels ADD MATHS 4037/22/M/J/18

6 In the diagram, ABC is an arc of the circle centre O, radius 5 cm, and angle AOC is 1.5 radians. AD and CE are diameters of the circle and DE is a straight line. (i) Find the total perimeter of the shaded regions. [3] (ii) Find the total area of the sha

O levels ADD MATHS 4037/22/M/J/18

5 (a) Four parts in a play are to be given to four of the girls chosen from the seven girls in a drama class. Find the number of different ways in which this can be done. [2] (b) Three singers are chosen at random from a group of 5 Chinese, 4 Indian and 2

O levels ADD MATHS 4037/22/M/J/18

4 Find the coordinates of the points where the line intersects the curve

O levels ADD MATHS 4037/22/M/J/18

3 It is given that x + 3 is a factor of the polynomial The remainder when p(x) is divided by x − 2 is −15. Find the remainder when p(x) is divided by x + 1.

O levels ADD MATHS 4037/22/M/J/18

2 (a) On the Venn diagram below, shade the region that represents (b) The universal set e and sets P, Q and R are such that Complete the Venn diagram to show this information and state the value of n(R).

O levels ADD MATHS 4037/22/M/J/18

1 (i) Show that (ii) Hence solve

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12 Do not use a calculator in this question. (a) Given that find the value of each of the constants p and q. [3] (b) Using the substitution u , or otherwise, solve

O levels ADD MATHS 4037/12/M/J/18

11 The diagram shows the graph of the curve y The curve meets the y-axis at the point A. The normal to the curve at A meets the x-axis at the point B. Find the area of the shaded region enclosed by the curve, the line AB and the line through B parallel to

O levels ADD MATHS 4037/12/M/J/18

10 Do not use a calculator in this question. All lengths in this question are in centimetres. The diagram shows the triangle ABC It is known that sin 60 (i) Find the exact value of AC. [4]

O levels ADD MATHS 4037/12/M/J/18

9 (a) (i) Solve (ii) Write as a single logarithm (b) (i) Solve (ii) Hence, showing all your working, find the values of a such that

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8 (a) Solve (b) Solve

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7 A population, B, of a particular bacterium, t hours after measurements began, is given by B 1000e t = 4 . (i) Find the value of B when t = 0. [1] (ii) Find the time taken for B to double in size. [3] (iii) Find the value of B when t = 8.

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6 Find the coordinates of the stationary point of the curve y

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5 (i) The first three terms in the expansion of can be written as Find the value of each of the constants a, b and c. [3] (ii) Use your values of a, b and c to find the term independent of x in the expansion of

O levels ADD MATHS 4037/12/M/J/18

4 A particle P moves so that its displacement, x metres from a fixed point O, at time t seconds, is given by x (i) Find the value of t when the displacement of P is 3m. [2] (ii) Find the velocity of P when t = 0. (iii) Explain why, after passing through O

O levels ADD MATHS 4037/12/M/J/18

3 The variables x and y are such that when e y is plotted against x 2, a straight line graph passing through the points (5, 3) and (3, 1) is obtained. Find y in terms of x.

O levels ADD MATHS 4037/12/M/J/18

2 Find the values of k for which the line y does not meet the curve y

O levels ADD MATHS 4037/12/M/J/18

1 It is given that y= 1+ tan 3 x . (i) State the period of y. [1] (ii) On the axes below, sketch the graph of y

O levels ADD MATHS 4037/12/M/J/18

11 The diagram shows the curve y intersecting the positive x-axis at the point A. The line y m = +x 8 is a tangent to the curve at the point B. Find (i) the coordinates of A, [2] (ii) the value of m,

O levels ADD MATHS 4037/22/O/N/17

10 (i) Without using a calculator, solve the equation It is given that y (ii) Find dy/ dx .

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9 (i) Find (ii) Hence find Hence, given that k, show that

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8 The matrix A (i) Find (ii) Hence solve the simultaneous equations

O levels ADD MATHS 4037/22/O/N/17

7 The gradient of the normal to a curve at the point with coordinates , is given by (i) Find the equation of the curve, given that the curve passes through the point (1, −10). [5] (ii) Find, in the form y= m x + c, the equation of the tangent to the curv

O levels ADD MATHS 4037/22/O/N/17

6 The volume of a closed cylinder of base radius x cm and height h cm is 500cm3. (i) Express h in terms of x. [1] (ii) Show that the total surface area of the cylinder is given by A

O levels ADD MATHS 4037/22/O/N/17

5 Naomi is going on holiday and intends to read 4 books during her time away. She selects these books from 5 mystery, 3 crime and 2 romance books. Find the number of ways in which she can make her selection in each of the following cases. (i) There are no

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4 Solve the simultaneous equations

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3 Solve the inequality

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2 Solve the equation

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1 If z find the integers a and b such that

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11 (a) Solve (b) (i) Show that (ii) Hence solve giving your answers in terms of .

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10 The diagram shows an isosceles triangle ABC, where AB = AC = 5 cm. The arc BEC is part of the circle centre A and has length 6.2cm. The point D is the midpoint of the line BC. The arc BFC is a semi-circle centre D. (i) Show that angle BAC is 1.24 radia

O levels ADD MATHS 4037/12/O/N/17

9 (a) The diagram shows the displacement-time graph of a particle P which moves in a straight line such that, ts after leaving a fixed point O, its displacement from O is xm. On the axes below, draw the velocity-time graph of P.

O levels ADD MATHS 4037/12/O/N/17

8 The diagram shows a river which is 120m wide and is flowing at 4ms–1. Points A and B are on opposite sides of the river such that B is 50m downstream from A. A man needs to cross the river from A to B in a boat which can travel at 5ms–1 in still water.

O levels ADD MATHS 4037/12/O/N/17

7 A polynomial where a and b are integers. It is given that 2 1 x - is a factor of p^ hx and that a remainder of –25 is obtained when p^ hx is divided by x + 2. (i) Find the value of a and of b. [5] (ii) Using your values of a and b, find the exact solut

O levels ADD MATHS 4037/12/O/N/17

6 Functions f and g are defined, for x (i) Write down the range of f. [1] (ii) Write down the range of g

O levels ADD MATHS 4037/12/O/N/17

5 When lg y is plotted against x, a straight line is obtained which passes through the points (0.6, 0.3) and (1.1, 0.2). (i) Find lg y in terms of x. [4] (ii) Find y in terms of x, giving your answer in the form y where A and b are constants.

O levels ADD MATHS 4037/12/O/N/17

4 Given that y find the value of dy/dx when x = 2, giving your answer as , where a and b are fractions in their simplest form.

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3 (i) Find, in ascending powers of x, the first 3 terms in the expansion of (ii) Hence find the term independent of x in the expansion of

O levels ADD MATHS 4037/12/O/N/17

2 The graph of y has an amplitude of 4, a period of r 3 and passes through the point r . Find the value of each of the constants a, b and c. [4]

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1 (i) On the Venn diagram below, draw sets X and Y (ii) On the Venn diagram below, draw sets A, B and C

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12 The function g is defined, for x (i) Show that gl(x) is always negative. [2](ii) Write down the range of g. [1] (iii) Find an expression for hg( x) .

O levels ADD MATHS 4037/22/M/J/17

11 The diagram shows part of the curve y and the line y = 5. The curve and the line intersect at the points A, B and C. The points D and E are on the x-axis and the lines AE and CD are parallel to the y-axis.

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10 Solve the equation

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9 A function f is defined, for x (i) Express f(x )in the form where a, b and c are constants. (ii) On the same axes, sketch the graphs of y= f( x ) and y=f -1( x ) , showing the geometrical relationship between them.

O levels ADD MATHS 4037/22/M/J/17

8 Solutions to this question by accurate drawing will not be accepted. The points A and B are (−8, 8) and (4, 0) respectively. (i) Find the equation of the line AB. [2] (ii) Calculate the length of AB. [2] The point C is (0, 7) and D is the mid-point of A

O levels ADD MATHS 4037/22/M/J/17

7 (a) Given that a 7 = b , where a and b are positive constants, find, (b) Solve the equation (c) Solve the equation

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6 Show that the roots of are real for all real values of p and q.

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5 (i) Show that where k is an integer to be found.

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4 The point P lies on the curve y . The normal to the curve at P has equation 5y + x = k . Find the coordinates of P and the value of k.

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3 Without using a calculator, factorise the expression

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2 Without using a calculator, express in the form a +b 5, where a and b are integers.

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1 Solve

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11 The curve y = f( x ) passes through the poin and is such that f1(x)= e 2x - l . (i) Find the equation of the curve. [4] (ii) Find the value of x for which fʺ(x) = 4, giving your answer in the form a b + ln 2, where a and b are constants.

O levels ADD MATHS 4037/12/M/J/17

10 The diagram shows a circle, centre O, radius 8 cm. The points A, B, C and D lie on the circumference of the circle such that AB is parallel to DC. The length of the arc AD is 4 cm and the length of the chord AB is 15cm. (i) Find, in radians, angle AOD.

O levels ADD MATHS 4037/12/M/J/17

9 (a) Given that A B and C A = B, (i) state the order of A, [1] (ii) find C. [3] (b) The matrix X (i) Find X-1 (ii) Using X-1 , find the coordinates of the point of intersection of the lines

O levels ADD MATHS 4037/12/M/J/17

8 (a) A 5-digit number is to be formed from the seven digits 1, 2, 3, 5, 6, 8 and 9. Each digit can only be used once in any 5-digit number. Find the number of different 5-digit numbers that can be formed if (i) there are no restrictions, [1] (ii) the n

O levels ADD MATHS 4037/12/M/J/17

7 It is given that y A( 10bx ) = , where A and b are constants. The straight line graph obtained when lg y is plotted against x passes through the points ( . 0 5, . 2 2) and ( . 1 0, . 3 7). (i) Find the value of A and of b. [5] Using your values of A and

O levels ADD MATHS 4037/12/M/J/17

6 (i) Show that (ii) Using your answer to part (i) find the value of a, giving your answer in terms of r. [4]

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5 A particle P moves in a straight line, such that its displacement, xm, from a fixed point O, t s after passing O, is given by x (i) Find the velocity of P at time t. [1] (ii) Hence write down the maximum speed of P. [1] (iii) Find the smallest value of

O levels ADD MATHS 4037/12/M/J/17

4 The first 3 terms in the expansion Find the value of each of the constants n, a and b. [5]

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3 Vectors i and j are unit vectors parallel to the x-axis and y-axis respectively. (a) The vector v has a magnitude of 3 5 units and has the same direction as i j - 2 . Find v giving your answer in the form a b i j + , where a and b are integers.

O levels ADD MATHS 4037/12/M/J/17

2 It is given that y . Showing all your working, find the exact value of dy / dx when x = 3

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1 On each of the Venn diagrams below, shade the region which represents the given set.

O levels ADD MATHS 4037/12/M/J/17

11 Mr and Mrs Coldicott have 5 sons and 4 daughters. All 11 members of the family play tennis. Six members of the family enter a tennis competition where teams consist of 4 males and 2 females. Find the number of different teams of 4 males and 2 females t

O levels ADD MATHS 4037/22/O/N/16

10 The town of Cambley is 5 km east and p km north of Edwintown so that the position vector of Cambley from Edwintown is __ metres. Manjit sets out from Edwintown at the same time as Raj sets out from Cambley. Manjit sets out from Edwintown on a bearing

O levels ADD MATHS 4037/22/O/N/16

9 The line y 4, where k is a positive constant, passes through the point P (0, −4) and is a tangent to the curve at the point T. Find (i) the value of k,

O levels ADD MATHS 4037/22/O/N/16

8 The function f(x) is given by (i) Show that , where k is a constant to be determined

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7 (i) Show that the area, Acm2, of the trapezium PQRS is given by (ii) Given that x can vary, find the stationary value of A. [7]

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6 (i) Prove that (ii) Hence solve the equation

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5 The curve with equation y passes through the point A (−2, 16). Find (i) the equation of the tangent to the curve at the point A, [3] (ii) the coordinates of the point where this tangent meets the curve again. [5]

O levels ADD MATHS 4037/22/O/N/16

4 The number of bacteria, N, present in a culture can be modelled by the equation N where t is measured in days. Find (i) the number of bacteria when t = 10, [1]

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3 Solve the equation

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2 Without using a calculator, find the integers a and b such that

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1 Solve the equation

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11 The variables x and y are such that when ln y is plotted against x, a straight line graph is obtained. This line passes through the points x y = = 4 0 , . ln 20 and x y = = 12, . ln 0 08. (i) Given that y Abx = , find the value of A and of b.

O levels ADD MATHS 4037/12/O/N/16

10 (a) The diagram shows part of the velocity-time graph for a particle, moving at vms-1 in a straight line, ts after passing through a fixed point. (i) Find the value of U. [3]

O levels ADD MATHS 4037/12/O/N/16

9 Do not use a calculator in this question. The polynomia It is given that p(x) and pl(x) are both divisible by 2x - 3 . (i) Show that a = 4 and find the value of b.

O levels ADD MATHS 4037/12/O/N/16

8 The diagram shows a sector AOB of the circle, centre O, radius 12 cm, together with points C and D such that ABCD is a rectangle. The angle AOB is i radians and the perimeter of the sector AOB is 47cm. (i) Show that i = 1 92 . radians correct to 2 decim

O levels ADD MATHS 4037/12/O/N/16

7 The diagram shows part of the graph of y The graph intersects the y-axis at the point A, has a maximum point at B and intersects the x-axis at the point C. (i) Find the coordinates of A. [1] (ii) Find the coordinates of B. [2] (iii) Find the coordinat

O levels ADD MATHS 4037/12/O/N/16

6 (a) Matrices X, Y and Z are such that Write down all the matrix products which are possible using any two of these matrices. Do not evaluate these products. (b) Matrices A, B and C are such that A (i) Find A-1 (ii) Hence find C. [3]

O levels ADD MATHS 4037/12/O/N/16

5 (i) Find the equation of the normal to the curve at the point P where x =1/3 The normal to the curve at the point P intersects the y-axis at the point Q. The curve y x ln( ) 2 1 = + 3 2 intersects the y-axis at the point R . (ii) Find the area of the t

O levels ADD MATHS 4037/12/O/N/16

4 (i) Find the first 3 terms in the expansion of in descending powers of x. (ii) Hence find the coefficient of x 7 in the expansion of

O levels ADD MATHS 4037/12/O/N/16

3 By using the substitution y x log3 = , or otherwise, find the values of x for which

O levels ADD MATHS 4037/12/O/N/16

2 Given that , find the value of each of the integers a, b and c.

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1 (a) Sets e, A and B are such that Using a Venn diagram, or otherwise, find (i) n(A) , [1]

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12   Solve the equation

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11 (a) A function f is defined, for all real x, by Find the greatest value of f(x) and the value of x for which this occurs. [3]

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10 (a) The graph of the curve y passes through the points (0, 2) and (0.5, 14). Find the value of p and of q. (b) The variables x and y are connected by the equation

O levels ADD MATHS 4037/22/M/J/16

9 (a) Find (b) (i) Find (ii) Hence evaluate

O levels ADD MATHS 4037/22/M/J/16

8 Find the coordinates of the points of intersection of the curve

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7 The matrix A is and the matrix B is (i) Find the matrix C such that C = 3A + B. [2]

O levels ADD MATHS 4037/22/M/J/16

6 The diagram shows a sector of a circle with centre O and radius 5 cm. The length of the arc AB is 7 cm. Angle AOB is θ radians. (i) Explain why θ must be greater than 1 radian. [1] (ii) Find the value of θ. [2] (iii) Calculate the area of the sector AOB

O levels ADD MATHS 4037/22/M/J/16

5 The coordinates of three points are A(−2, 6), B(6, 10) and C(p, 0). (i) Find the coordinates of M, the mid-point of AB. (ii) Given that CM is perpendicular to AB, find the value of the constant p. [2] (iii) Find angle MCB. [3]

O levels ADD MATHS 4037/22/M/J/16

4   Do not use a calculator in this question. The polynomial has a factor x – 2. (i) Show that q = −30. (ii) Factorise p (x) completely and hence state all the solutions of p (x) = 0 . [4]

O levels ADD MATHS 4037/22/M/J/16

3 A team of 3 people is to be selected from 7 women and 6 men. Find the number of different teams that could be selected if there must be more women than men on the team.

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2 Variables x and y are related by the equation y (i) Find dy/dx , simplifying your answer. (ii) Hence find the approximate change in x when y increases from 9 by the small amount 0.07. [3]

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1 (i) Given that has no real roots, show that k satisfies (ii) Solve the inequality

O levels ADD MATHS 4037/22/M/J/16

11 (a)  The diagram shows the velocity-time graph of a particle P moving in a straight line with velocity v ms–1 at time ts after leaving a fixed point.     (i) Find the distance travelled by the particle P.     (ii) Write down the deceleration of the par

O levels ADD MATHS 4037/12/M/J/16

10 The diagram shows a badge, made of thin sheet metal, consisting of two semi-circular pieces, centres B and C, each of radius x cm. They are attached to each other by a rectangular piece of thin sheet metal, ABCD, such that AB and CD are the radii of th

O levels ADD MATHS 4037/12/M/J/16

9 A curve passes through the point and is such that (i) Find the equation of the curve. [4] The normal to the curve, at the point where x = 5, meets the line y at the point P. (ii) Find the x-coordinate of P.

O levels ADD MATHS 4037/12/M/J/16

8 Variables x and y are such that when lg y is plotted against x 2 , the straight line graph shown above is obtained. (i) Given that y , find the value of A and of b. (ii) Find the value of y when x = 1.5. [2] (iii) Find the positive value of x when y = 2

O levels ADD MATHS 4037/12/M/J/16

7 The diagram shows part of the graph of y = -1 3 2cos x, which crosses the x-axis at the point A and has a maximum at the point B. (i) Find the coordinates of A. (ii) Find the coordinates of B. [2] (iii) Showing all your working, find the area of the sha

O levels ADD MATHS 4037/12/M/J/16

6 Show that can be written in the form where p and q are integers to be found. [5]

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5   (i) Show that (ii) Hence solve the equation

O levels ADD MATHS 4037/12/M/J/16

4 Do not use a calculator in this question. Find the positive value of x for which giving your answer in the form , where a and b are integers. [6]

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3 Vectors  a, b and c are such that  (i) Given that a b = - c , find the possible values of y   (ii) Given that , find the value

O levels ADD MATHS 4037/12/M/J/16

2 (i) The first 3 terms in the expansion of Find the value of each of the integers a, b and c. (ii) Hence find the term independent of x in the expansion of

O levels ADD MATHS 4037/12/M/J/16

1 (a) The universal set  is the set of real numbers and sets X, Y and Z are such that X = {integer multiples of 5}, Y = {integer multiples of 10}, Use set notation to complete the two statements below. (b)   On each of the Venn diagrams below, shade t

O levels ADD MATHS 4037/12/M/J/16

10 A particle is moving in a straight line such that its velocity, v ms–1, t seconds after passing a fixed point O is . (i) Find an expression for the displacement, s m, from O of the particle after t seconds. (ii) Using the substitution u or otherwise,

O levels ADD MATHS 4037/22/O/N/15

9 Solve the following equations.

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8 Solutions to this question by accurate drawing will not be accepted. Two points A and B have coordinates (–3, 2) and (9, 8) respectively. (i) Find the coordinates of C, the point where the line AB cuts the y-axis.

O levels ADD MATHS 4037/22/O/N/15

7 A cone, of height 8cm and base radius 6cm, is placed over a cylinder of radius r cm and height h cm and is in contact with the cylinder along the cylinder’s upper rim. The arrangement is symmetrical and the diagram shows a vertical cross-section through

O levels ADD MATHS 4037/22/O/N/15

6 The figure shows part of the graph of y =a + b c sin x. (i) Find the value of each of the integers a, b and c. Using your values of a, b and c find (iii) the equation of the normal to the curve at ,

O levels ADD MATHS 4037/22/O/N/15

5 (a) Solve the following equations to find p and q. (b) Solve the equation

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4 (a) Given that A and B calculate 2BA (b) The matrices C and D are given by     (i) Find C–1. [2]

O levels ADD MATHS 4037/22/O/N/15

3 Relative to an origin O, points A, B and C have position vectors respectively. All distances are measured in kilometres. A man drives at a constant speed directly from A to B in 20 minutes. (i) Calculate the speed in kmh–1 at which the man drives from A

O levels ADD MATHS 4037/22/O/N/15

2 (i) Find, in the simplest form, the first 3 terms of the expansion of , in ascending powers of x. 2 (i) Find, in the simplest form, the first 3 terms of the expansion of , in ascending powers of x. (ii) Find the coefficient of x 2 in the expansion of

O levels ADD MATHS 4037/22/O/N/15

1 It is given that f( x). (i) Show that x + 2 is a factor of f(x ) . (ii) Hence factorise f(x ) completely and solve the equation f(x ) = 0.[4]

O levels ADD MATHS 4037/22/O/N/15

12 The line2x-y+1 =0 meets the curvex2 +3y=19 at the points A and B. The perpendicular bisector of the line AB meets the x-axis at the point C. Find the area of the triangle ABC. [9]

O levels ADD MATHS 4037/12/O/N/15

11 (a) A function f is such that f (x)     (ii) Write down the range of f. [1]   (iii) Find f -1 and state its domain

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10 The diagram shows two circles, centres A and B, each of radius 10cm. The point B lies on the circumference of the circle with centre A. The two circles intersect at the points C and D. The point E lies on the circumference of the circle centre B such t

O levels ADD MATHS 4037/12/O/N/15

9 You are not allowed to use a calculator in this question. (i) Find (ii)  The diagram shows the graph of y x = +4 , which meets the y-axis at the point A and the line x = 5 at the point B. Using your answer to part (i), find the area of the region enclos

O levels ADD MATHS 4037/12/O/N/15

8 Find the equation of the tangent to the curve y at the point where x = 2.

O levels ADD MATHS 4037/12/O/N/15

7 Two variables, x and y, are such that y Axb = , where A and b are constants. When ln y is plotted against ln x, a straight line graph is obtained which passes through the points ^ h 1 4. , 5 8. and ^ h 2 2. , 6 0. . (i) Find the value of A and of b

O levels ADD MATHS 4037/12/O/N/15

6 It is given that e= 6 It is given that  = "x x | 1 12 G G ,where x is an integer, and that sets A, B, C and D are such that A = "multiples of 3,, B = "prime numbers,, C = "odd integers,, D = "even integers,. Write down the following sets in terms o

O levels ADD MATHS 4037/12/O/N/15

5 Variables x and y are such that y (i) Find the value of dy / d x when x = 2.     (ii)   Hence find the approximate change in y when x changes from 2 to 2.03. [2]

O levels ADD MATHS 4037/12/O/N/15

4 (a) 6 books are to be chosen from 8 different books.     (i) Find the number of different selections of 6 books that could be made. A clock is to be displayed on a shelf with 3 of the 8 different books on each side of it. Find the number of ways this ca

O levels ADD MATHS 4037/12/O/N/15

3 Show that =sec cosec

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2 A curve, showing the relationship between two variables x and y, passes through the point P^ h -1 3, . The curve has a gradient of 2 at P. Given that find the equation of the curve.

O levels ADD MATHS 4037/12/O/N/15

1 Find the range of values of k for which the equation has 2 real distinct roots. [4]

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12 (i) Show that x = –2 is a root of the polynomial equation . [1] (ii) Find the remainder when is divided by x – 3. (iii) Find the value of p and of q such that

O levels ADD MATHS 4037/22/M/J/15

11 The diagram shows a cuboid of height h units inside a right pyramid OPQRS of height 8 units and with square base of side 4 units. The base of the cuboid sits on the square base PQRS of the pyramid. The points A, B, C and D are corners of the cuboid and

O levels ADD MATHS 4037/22/M/J/15

10 (a) The function f is defined by On the axes below, sketch the graph of y = f( x).

O levels ADD MATHS 4037/22/M/J/15

9 Solutions by accurate drawing will not be accepted. The line y m = +x 4 meets the lines x = 2 and x =-1 at the points P and Q respectively. The point R is such that QR is parallel to the y-axis and the gradient of RP is 1. The point P has coordinates (2

O levels ADD MATHS 4037/22/M/J/15

8 The graph of y x 6 10 x 2 = - + cuts the y-axis at A. The graphs of y x 6 10 x 2 = - + and y x = + 10 cut one another at A and B. The line BC is perpendicular to the x-axis. Calculate the area of the shaded region enclosed by the curve and the line AB,

O levels ADD MATHS 4037/22/M/J/15

7 In the expansion of , the coefficient of x 4 is ten times the coefficient of x 2 . Find the value of the positive integer, n.

O levels ADD MATHS 4037/22/M/J/15

6 (a) Solve b) Solve

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5 Solve the simultaneous equations

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4   A river, which is 80m wide, flows at 2ms–1 between parallel, straight banks. A man wants to row his boat straight across the river and land on the other bank directly opposite his starting point. He is able to row his boat in still water at 3ms–1. Fin

O levels ADD MATHS 4037/22/M/J/15

3 Do not use a calculator in this question. The diagram shows the right-angled triangle ABC, where AB cm and angle B = 90°. The area of this triangle is (i) Find the length of the side BC in the form cm, where a and b are integers. [3]

O levels ADD MATHS 4037/22/M/J/15

2 The table shows the number of passengers in Economy class and in Business class on 3 flights from London to Paris. The table also shows the departure times for the 3 flights and the cost of a single ticket in each class. (i) Write down a matrix, P, for

O levels ADD MATHS 4037/22/M/J/15

1 The universal set contains all the integers from 0 to 12 inclusive. Given that (i) complete the Venn diagram, [3] (ii) state the value of n(iii) write down the elements of the set

O levels ADD MATHS 4037/22/M/J/15

10 (a) Solve 2cos 3x = sec 3x (b) Solve

O levels ADD MATHS 4037/12/M/J/15

9 A curve has equation y = 4x + 3 cos 2x. The normal to the curve at the point where x meets the x- and y-axes at the points A and B respectively. Find the exact area of the triangle AOB, where O is the origin.

O levels ADD MATHS 4037/12/M/J/15

8 (i) Find (ii) Hence find y in terms of the constant k. [2] (iii) Given that (iv) Using a substitution of y e2k = or otherwise, find the value of k in the form a b ln , where a and b are constants. [3]

O levels ADD MATHS 4037/12/M/J/15

10 (a) AC and BD are diameters of the circle, centre O. Show that triangle ABC is congruent to triangle BAD. Give a reason for each statement you make. (b) Two tangents, TC and TD, are drawn to the circle in part (a). The diameter of the circle is 8cm

O levels MATHEMATICS 4024/22/O/N/19

9 ABCD is a rectangle with AB = 10 cm and AD = 12 cm. PQ is parallel to AB and RS is parallel to AD. Y is the point of intersection of PQ and RS. BR = DP = x cm. A smaller rectangle and a square are shaded. (a) Write down an expression, in terms of x, for

O levels MATHEMATICS 4024/22/O/N/19

8 he diagram shows a bowl with a circular base. The curved surface of the bowl is formed by removing a cone with radius 12cm and height 45cm from a larger cone as shown in the diagram. The radius of the top of the bowl is 16cm and its height is 15cm. (a)

O levels MATHEMATICS 4024/22/O/N/19

7 A field is in the shape of a quadrilateral PQRS. A path crosses the field from P to R. PQ = 280m, RS = 146m and PR = 325m. S is on a bearing of 042° from P, PSR = 108° t and RPQ = 38° t . (a) Calculate the bearing of R from P. (b) (i) Show that QR = 202

O levels MATHEMATICS 4024/22/O/N/19

5 (a) e = {x : x is an integer 1 1 G Gx 6} A = {x : x is an even number} B = {x : x is a square number} C = {x : x is a factor of 100} (i) Complete the Venn diagram.

O levels MATHEMATICS 4024/22/O/N/19

6 (a) Rearrange the formula to make p the subject (b) Express as a single fraction in its simplest form

O levels MATHEMATICS 4024/22/O/N/19

4 (a) Complete the table for y (b) Draw the graph of y (c) By drawing a tangent, estimate the gradient of the graph of y (d) (i) On the grid, draw the line

O levels MATHEMATICS 4024/22/O/N/19

3 (a) The table shows the times, in seconds, taken for each of 12 members of an athletics club to run 400 metres and 800 metres. (i) On the grid, complete the scatter diagram. The first six points have been plotted for you. (ii) Runners who took less th

O levels MATHEMATICS 4024/22/O/N/19

2 Shapes A, B and C are drawn on the grid. (a) Shape A is mapped onto shape B by a reflection. Write down the equation of the line of reflection. (b) Describe fully the single transformation that maps shape A onto shape C. (c) Transformation T is represe

O levels MATHEMATICS 4024/22/O/N/19

1 Tanya owns a small business. (a) Tanya has 4 employees. Every week, the employees each work for 7 4 3 hours each day for 5 days. Each employee is paid $15.20 per hour. Calculate the total amount Tanya pays her 4 employees in one week.

O levels MATHEMATICS 4024/22/O/N/19

25 The diagram is the speed–time graph representing part of a train’s journey. The train slows down uniformly from a speed of 40m/s to a speed of 8m/s in a time of 10 seconds. It then accelerates uniformly during the next 50 seconds. (a) Find the decelera

O levels MATHEMATICS 4024/12/O/N/19

24 (a) Express as a single matrix. (b) Find the inverse of (c) Find the matrix X such that

O levels MATHEMATICS 4024/12/O/N/19

23 In the diagram, OB (a) Show that the gradient of OB 1/2

O levels MATHEMATICS 4024/12/O/N/19

22 Water drips from a tap into a container which stands on a horizontal surface. The container is a cuboid with base 5cm by 4 cm. The volume of each drop of water is 0.08cm3. Calculate the change in water level caused by 400 drops.

O levels MATHEMATICS 4024/12/O/N/19

21 The diagram shows points O and C and the vectors p and q. (a) Given that OA = 2p, mark and label the point A on the diagram. [1] (b) Given that OB = -p q2 , mark and label the point B on the diagram. [1] (c) Express OC in terms of p and q.

O levels MATHEMATICS 4024/12/O/N/19

20 In the diagram, the points A, B, C, and D lie on the circle, centre O. ACB = 69° t and D AC = 34° t . (a) Find ABD (b) Find AOtD.

O levels MATHEMATICS 4024/12/O/N/19

19 (a) C is the point above AB, where AC = 5cm and BC = 7cm. Using a pair of compasses and ruler only, construct triangle ABC. [2] (b) D is the point below AB, where BAD = 28° t and ABD = 96° t . Using a protractor and ruler, draw triangle ABD.

O levels MATHEMATICS 4024/12/O/N/19

18 The vertices of a triangle are A (7, 0), B (-1, 6) and C (-1, -4). (a) Show that AB = BC.

O levels MATHEMATICS 4024/12/O/N/19

17 A bag contains two white beads and one black bead only. Two beads are taken, at random, without replacement from the bag. (a) Complete the tree diagram. (b) Write down the probability that two black beads are taken.

O levels MATHEMATICS 4024/12/O/N/19

16 In the diagram, AP, BQ and CR are the bisectors of the angles of triangle ABC. The bisectors intersect at O. (b) In the diagram, shade the region containing the points which are • nearer to AB than AC and • nearer to CA than CB

O levels MATHEMATICS 4024/12/O/N/19

15 The time taken by each member of a group of students to solve a problem was recorded. Some of the results are summarised in the table and illustrated in the histogram

O levels MATHEMATICS 4024/12/O/N/19

14 The temperatures, in °C, of 120 people were measured. The results are summarised in the cumulative frequency diagram

O levels MATHEMATICS 4024/12/O/N/19

13 Simplify.

O levels MATHEMATICS 4024/12/O/N/19

12 A polygon has 12 sides. Calculate the sum of the interior angles of this polygon

O levels MATHEMATICS 4024/12/O/N/19

11 (a) Express 4500 * 10002 in standard form.

O levels MATHEMATICS 4024/12/O/N/19

10 y is inversely proportional to x. When x y = = 2, t. Find an expression for y, in terms of t, when x = 3.

O levels MATHEMATICS 4024/12/O/N/19

9 A map has a scale of 5cm to 2 km. (a) The actual distance between two masts is 14km. Calculate the distance, in cm, on the map between the two masts.

O levels MATHEMATICS 4024/12/O/N/19

8 By writing each number correct to 1 significant figure, estimate the value of

O levels MATHEMATICS 4024/12/O/N/19

7 (a) The diagram shows a circle, its centre and two chords of equal length. The diagram has one line of symmetry. Draw this line of symmetry. (b) In the diagram below, two small triangles are shaded. Shade one more small triangle to give a diagram tha

O levels MATHEMATICS 4024/12/O/N/19

6 (a) A movie lasts for 1 hour 48 minutes and finishes at 10.15pm.Find the time it starts. (b) The size of a television screen is given as 95cm, correct to the nearest 5cm. Write down the upper bound of the size of the television screen

O levels MATHEMATICS 4024/12/O/N/19

5 Factorise.

O levels MATHEMATICS 4024/12/O/N/19

4 Solve the equation 6 +8x =7- 2x .

O levels MATHEMATICS 4024/12/O/N/19

3 From this list of numbers, write down (a) a prime number, (b) a square number, (c) an irrational number.

O levels MATHEMATICS 4024/12/O/N/19

2 Write these values in order, starting with the smallest.

O levels MATHEMATICS 4024/12/O/N/19

1 (a) Evaluate (b) Evaluate

O levels MATHEMATICS 4024/12/O/N/19

11 (a) Find g(2). (b) Find g-1(x). (c) Given that f(t) = 6, find t. (d) Find p and q.

O levels MATHEMATICS 4024/22/M/J/19

10 (a) (i) Find g - 2f. (ii) Petra writes Show that Petra is wrong. (b) O, A and B are points with OA = a and OB = b. P is the point on OA such that OP OA 3 1 = . O, Q and R lie on a straight line and Q is the midpoint of PB

O levels MATHEMATICS 4024/22/M/J/19

9 The diagram shows a triangular prism. AC = 15 cm, BC = 14 cm and angle ACB = 27°. (a) Calculate AB. (b) The length of the prism is pcm and the volume of the prism is 1000cm3. Calculate p.

O levels MATHEMATICS 4024/22/M/J/19

8 The mass, in grams, of each of 75 oranges is measured. The results are summarised in the table. (a) One of these oranges is chosen at random. Find the probability that it has a mass greater than 200g.

O levels MATHEMATICS 4024/22/M/J/19

7 The table shows some values for y , given correct to 2 decimal places where appropriate. (a) Complete the table. [1] (b) Draw the graph of y

O levels MATHEMATICS 4024/22/M/J/19

6 The diagram shows the positions of two boats, A and B, drawn to a scale of 1 : m. The actual distance between the two boats is 4km. (a) Find m, giving your answer correct to 1 significant figure. (b) Measure the bearing of A from B. (c) A third boat is

O levels MATHEMATICS 4024/22/M/J/19

5 (a) Express as a single fraction, in its simplest form. (b) Solve (c) A rectangular card has dimensions (2y) cm by (y + 3) cm. A square of side y cm is cut from this rectangle

O levels MATHEMATICS 4024/22/M/J/19

4 (a) ACD is a triangle and ADC = 110° t . EB is parallel to DC and AE = EB. (i) Find x, giving reasons for each step in your working. (ii) Given that EB = 12cm and DC = 20cm, find ED.

O levels MATHEMATICS 4024/22/M/J/19

3 (a) Represent the inequality on the number line below. (b) Find the 3 inequalities which define the region shaded in the diagram.

O levels MATHEMATICS 4024/22/M/J/19

2 The table shows the average monthly temperatures (°C) in Tokyo and in Sydney one year. (a) Complete the scatter diagram. The first eight points have been plotted for you. (b) What type of correlation is shown by the scatter diagram? (c) Draw a line of

O levels MATHEMATICS 4024/22/M/J/19

1 The table below shows the cost to visit a zoo.

O levels MATHEMATICS 4024/22/M/J/19

25 (a) Evaluate PQ. (b) M The determinant of matrix M is -4. (i) Find the value of k. (ii) Find M-1.

O levels MATHEMATICS 4024/12/M/J/19

24 A, B and C are points on the circle centre O and AB = BC. P is the midpoint of chord AB and Q is the midpoint of chord BC. (a) Prove that triangle OAP is congruent to triangle OCQ. Give a reason for each statement you make.

O levels MATHEMATICS 4024/12/M/J/19

23 The diagram shows two circles, both with centre O. The radius of the small circle is 3 cm and the radius of the large circle is 6cm. The minor sector AOB has an angle of 60°. The total area of the shaded regions is krcm2. Find the value of k.

O levels MATHEMATICS 4024/12/M/J/19

22 Here are the first three patterns in a sequence made using dots and lines. (a) Complete the table for the first five patterns in this sequence. (b) Find an expression, in terms of n, for the number of lines in Pattern n. (c) Anwar makes one of these pa

O levels MATHEMATICS 4024/12/M/J/19

21 A cuboid has a square base. The length of the base of the cuboid is y cm. The height of the cuboid is twice the length of its base. The total surface area of the cuboid is 360 cm2. Find the height of the cuboid.

O levels MATHEMATICS 4024/12/M/J/19

20 Simplify.

O levels MATHEMATICS 4024/12/M/J/19

19 y is inversely proportional to the square of x. When x = 4, y = 10. (a) Find the value of y when x = 10. (b) Describe the effect on y when x is halved.

O levels MATHEMATICS 4024/12/M/J/19

18 (a) Find r when p =-2. (b) Rearrange the formula to make p the subject.

O levels MATHEMATICS 4024/12/M/J/19

17 Nima has these six cards. Each card has a shape on it. She takes two cards at random without replacement. (a) Complete the tree diagram. (b) Find the probability that the shapes on Nima’s two cards are the same.

O levels MATHEMATICS 4024/12/M/J/19

16 Triangle A and triangle B are drawn on the grid. (a) Describe fully the single transformation that maps triangle A onto triangle B. (b) Triangle A is mapped onto triangle C by an enlargement with centre (0, 3) and scale factor -2.

O levels MATHEMATICS 4024/12/M/J/19

15 (a) Write 168 as a product of its prime factors. (b) The highest common factor of 168 and N is 42.

O levels MATHEMATICS 4024/12/M/J/19

14 (a) Write in the form (b) Hence write down the minimum value of .

O levels MATHEMATICS 4024/12/M/J/19

13 (a) Expand and simplify . (b) Factorise

O levels MATHEMATICS 4024/12/M/J/19

12 (a) Write these numbers in order of size, starting with the smallest.

O levels MATHEMATICS 4024/12/M/J/19

11 Solve the simultaneous equations. Show your working.

O levels MATHEMATICS 4024/12/M/J/19

10 (a) Use set notation to describe the shaded region in the Venn diagram.

O levels MATHEMATICS 4024/12/M/J/19

9 A car starts a journey from rest. It moves with constant acceleration for 20 seconds until it reaches a speed of 15m/s. It then moves at a constant speed of 15m/s for 40 seconds. (a) On the grid, draw the speed–time graph for the car’s journey.

O levels MATHEMATICS 4024/12/M/J/19

8 A drink is made by mixing fruit juice and water in the ratio 3 : 5. The drink is made using 2 litres of water. Calculate the amount of fruit juice used. Give your answer in millilitres.

O levels MATHEMATICS 4024/12/M/J/19

7 Find the fraction that lies exactly halfway between

O levels MATHEMATICS 4024/12/M/J/19

6 (a) Daniel earns $760 each month. He pays 15% of his earnings in tax. Calculate the amount of money Daniel has each month after paying tax (b) Daniel invests $1200 in a savings account. The account pays simple interest at a rate of 2% per year. Calc

O levels MATHEMATICS 4024/12/M/J/19

5 Lamps are made in a factory. A random sample of 50 of the lamps is tested and 4 of them are found to be faulty. A total of 4000 lamps is made in one day. Calculate the number of these 4000 lamps you would expect to be faulty

O levels MATHEMATICS 4024/12/M/J/19

4 By writing each number correct to one significant figure, estimate the value of

O levels MATHEMATICS 4024/12/M/J/19

3 The height of water, in cm, in a river is recorded every week for 10 weeks. The heights of the water, compared with its normal level, are listed below.

O levels MATHEMATICS 4024/12/M/J/19

2 Use a straight edge and compasses only in this question. Construct the locus of points inside quadrilateral ABCD that are equidistant from AB and BC.

O levels MATHEMATICS 4024/12/M/J/19

1 (a) Evaluate (b) Evaluate

O levels MATHEMATICS 4024/12/M/J/19

10 The diagram shows two circles that touch at C. A, B and C are points on the small circle, centre X. C, D and E are points on the large circle, centre Y. AXCYE and BCD are straight lines and YDE x = ° t . (a) Prove that triangle BCX is similar to triang

O levels MATHEMATICS 4024/22/O/N/18

9 The diagram shows a pyramid with a rectangular, horizontal base. Vertex F of the pyramid is vertically above the centre of the base, E. AB = 6.2 cm and BC = 4.3cm. The length of each sloping edge of the pyramid is 9.5cm. (a) Show that the height, EF, of

O levels MATHEMATICS 4024/22/O/N/18

8 The line 2 4 y x = + is drawn on the grid. (a) (i) On the grid, draw the line x y + + 2 0 = . [2] (ii) The region R is represented by these three inequalities. On the grid, shade and label the region R. [2] (b) Line L is perpendicular to the line 2 4

O levels MATHEMATICS 4024/22/O/N/18

7 Triangle A is drawn on the grid. (a) Transformation P is represented by the matrix . P maps triangle A onto triangle B. (i) Draw and label triangle B. (ii) Describe fully the single transformation P. (iii) Write down the ratio area of triangle A :

O levels MATHEMATICS 4024/22/O/N/18

6 Zara fences off a piece of land next to a wall to make a vegetable garden. The garden is a rectangle with the wall as one side of the rectangle. The area of the garden is 18 square metres. The width of the garden is x metres. (a) The total length of fen

O levels MATHEMATICS 4024/22/O/N/18

5 AC and BD are diameters of the circle, centre O. AC = 12 cm and AOB = 130° t . (a) Calculate the area of triangle AOB.(b) Calculate the area of the sector AOD. (c) Calculate the percentage of the area of the circle that is shaded.

O levels MATHEMATICS 4024/22/O/N/18

4 (a) Anna drives 45km to work each day. One day she drives the first 25km at an average speed of 82 km/h. She takes 36 minutes to drive the remaining distance. Calculate her average speed, in km/h, for the whole journey

O levels MATHEMATICS 4024/22/O/N/18

3 (a) Express as a single fraction in its simplest form (b) Simplify (c) Solve Show your working and give your answers correct to 3 significant figures.

O levels MATHEMATICS 4024/22/O/N/18

2 Lim grows tomatoes. The masses, m grams, of 200 of her tomatoes are recorded. The cumulative frequency table shows the results.(a) On the grid, draw a cumulative frequency diagram to represent these results. (b) Use your diagram to estimate

O levels MATHEMATICS 4024/22/O/N/18

1 (a) Kamal earned a total of $32500 in 2017. He paid 9% of this amount into his pension. He paid 22% tax on the remainder of his earnings. Calculate the amount left after paying his pension and his tax.

O levels MATHEMATICS 4024/22/O/N/18

25 In the diagram, ADB and ACF are straight lines (a) Express AB in terms of p. (b) Express CF in terms of p and/or q. (c) Express EF in terms of p and/or q.

O levels MATHEMATICS 4024/12/O/N/18

24 A train travels between two stations, starting and finishing at rest. (a) On the grid, draw the speed–time graph for this journey. (b) Calculate the distance between the stations.

O levels MATHEMATICS 4024/12/O/N/18

23 (a) Express as a single vector. (b) Find

O levels MATHEMATICS 4024/12/O/N/18

22 e = { 0, 1, 2, 3, 4, 5, 6 } P = { x : x = 0, 1, 2 } Q = { y : y = 0, 2 }(a) List the members of

O levels MATHEMATICS 4024/12/O/N/18

21 (a) Evaluate (b) Find n,.

O levels MATHEMATICS 4024/12/O/N/18

20 P is the point (–3, 4), Q is the point (5, 1). (a) M is the midpoint of PQ. Find the coordinates of M. (b) Find the gradient of PQ. (c) R is the point (– 6, 0), O is the point (0, 0). Which of the points, R or P, is closer to O? Show your working

O levels MATHEMATICS 4024/12/O/N/18

19 In the diagram, PQ intersects LM at O. On the diagram, construct (a) the locus of points that are equidistant from the lines PQ and LM, [2] (b) the locus of points that are equidistant from O and Q.

O levels MATHEMATICS 4024/12/O/N/18

18 In the diagram, A, B, C, D and E lie on the circle. AB is parallel to ED. ABt E = 62°, CDt E = 127° and BEtC = 40°. (a) Find x. (b) Find y. (c) Find z.

O levels MATHEMATICS 4024/12/O/N/18

17 Bag A contains 3 black and 2 white beads. Bag B contains 2 black and 4 white beads. A bead is chosen, at random, from Bag A and placed in Bag B. A bead is then chosen, at random, from Bag B. (a) Complete the tree diagram. (b) Find the probability that

O levels MATHEMATICS 4024/12/O/N/18

16 Find the possible values of x, given that x is an integer .

O levels MATHEMATICS 4024/12/O/N/18

15 Each week, Henri records the number of units of gas used in his house and the mean temperature outside. Ten of his results are shown in the table (a) On the grid, complete the scatter diagram. The first five results have been plotted for you.

O levels MATHEMATICS 4024/12/O/N/18

14 The diagram shows a triangular prism. The measurements are in centimetres. (a) On the grid below, complete the accurate drawing of a net of the prism. Do not draw outside the grid.

O levels MATHEMATICS 4024/12/O/N/18

13 The scale diagram shows two islands at A and B. Scale: 2 cm to 1km (a) Write the scale 2cm to 1 km in the form 1 : n. (b) By measurement, find the bearing of B from A.

O levels MATHEMATICS 4024/12/O/N/18

12 Each interior angle of a regular polygon is 175°. Find the number of sides in the polygon.

O levels MATHEMATICS 4024/12/O/N/18

11 Here are the first five terms of a sequence. (a) Write down the next two terms. (c) Find an expression, in terms of n, for the nth term.

O levels MATHEMATICS 4024/12/O/N/18

10 By writing each number correct to 2 significant figures, estimate the value of

O levels MATHEMATICS 4024/12/O/N/18

9 Evaluate the following, giving your answers in standard form.(a) p *q

O levels MATHEMATICS 4024/12/O/N/18

8 (a) The diagram shows part of a figure that has rotational symmetry of order 4 about the point O. Complete the figure. (b) In the diagram, six small squares are shaded. Shade one more small square to give a diagram that has exactly one line of symmetr

O levels MATHEMATICS 4024/12/O/N/18

7 In a group of 35 people, 22 are wearing spectacles, 10 are wearing a hat, 6 are wearing spectacles and a hat. By drawing a Venn diagram, or otherwise, find the number of people who are wearing neither spectacles nor a hat.

O levels MATHEMATICS 4024/12/O/N/18

6 (a) Find f( -2) .(b) Find f -1 (x)

O levels MATHEMATICS 4024/12/O/N/18

5 (a) Simplify 4c - 3 (2c -5) .(b) Factorise

O levels MATHEMATICS 4024/12/O/N/18

4 Arrange these fractions in order, starting with the smallest. Show your working.

O levels MATHEMATICS 4024/12/O/N/18

3 y is inversely proportional to x. Given that y = 30 when x = 1/3, find y when x = 5.

O levels MATHEMATICS 4024/12/O/N/18

2 (a) 200 grams of a spice cost 85 cents. Find the cost, in dollars, of 1 kilogram of this spice. (b) You are given that 60 : x = 3 : 2. Find x.

O levels MATHEMATICS 4024/12/O/N/18

1 (a) Evaluate (b) Evaluate 0 0. . 4 0 * 11 .

O levels MATHEMATICS 4024/12/O/N/18

10 A is the point (–4, –1), B is the point (2, 2) and BC = (a) Find the coordinates of the midpoint of AB. (b) Find the gradient of AB. (c) Show that BC is perpendicular to AB. (d) ABCD is a rectangle. Find the coordinates of point D.

O levels MATHEMATICS 4024/22/M/J/18

9 (a) On Monday, Ravi goes on a 20km run. (i) His average speed for the first 12km is x km/h. Write down an expression, in terms of x, for the time taken for the first 12km. Give your answer in minutes.

O levels MATHEMATICS 4024/22/M/J/18

8 OYC is a triangle. A is a point on OY and B is a point on CY. AB is parallel to OC. AC and OB intersect at X. (a) Prove that triangle ABX is similar to triangle COX. Give a reason for each statement you make. (b) OA = 3a and OC = 6c and CB : BY = 1 : 2

O levels MATHEMATICS 4024/22/M/J/18

7 A yacht sails the triangular route shown. The bearing of B from A is 135°. BC = 3.7 km, AC = 2.8 km and ABtC = 42°. (a) Show that CAtB = 62.2°, correct to 1 decimal place. (b) Find the bearing of A from C. (c) The yacht sails from A to B to C to A. Cal

O levels MATHEMATICS 4024/22/M/J/18

6 (a) Complete the table for y (b) Draw the graph of y (c) By drawing a tangent, estimate the gradient of the curve at x = 1.5. (d) Complete these inequalities to describe the range of values of x where y H 0. (e) (i) On the same grid, draw the line 4y +

O levels MATHEMATICS 4024/22/M/J/18

5 (a) OAB is a sector of a circle, centre O, radius 11 cm. AOB = 134° t . (i) Calculate the length of the arc AB. (ii) Calculate the shortest distance from O to the line AB.

O levels MATHEMATICS 4024/22/M/J/18

4 (a)  ={x : x is an integer 1 G x G 18} A = {x : x is a prime number} B = {1, 2, 3, 4, 6, 9, 12, 18} (i) Complete the Venn diagram to illustrate this information. [1] (ii) Complete the description of the set B.

O levels MATHEMATICS 4024/22/M/J/18

3 (a) Solve 3(x + 10) = 12 - 7x . (b) Solve the simultaneous equations. Show your working. 4x - 3y = 28 6x + y = 9

O levels MATHEMATICS 4024/22/M/J/18

2 (a) Jenny recorded the time, in minutes, of 40 movies. The table summarises her results. On the grid, draw a frequency polygon to represent this information. (b) Jenny asked 60 people how many movies they had each watched in the last month. The table

O levels MATHEMATICS 4024/22/M/J/18

1 (a) Each week Leah works 5 days and is paid a total of $682. Each day she works from 0845 until 1215 and then from 1315 until 1730. Calculate Leah’s hourly rate of pay.(b) Carlos buys a new bicycle. After one year he sells it for $231. He makes a lo

O levels MATHEMATICS 4024/22/M/J/18

25 The diagram is the speed–time graph for 60 seconds of a train’s journey. At the beginning of this part of the journey the train is travelling at u m/s. Giving each answer in its simplest form, find expressions in terms of u, for (a) the deceleration fo

O levels MATHEMATICS 4024/12/M/J/18

24 Triangle A is mapped onto triangle B by a translation, followed by an enlargement with centre (10, –4). The translation maps triangle A onto triangle C. The enlargement maps triangle C onto triangle B. (a) Write down the scale factor of the enlargement

O levels MATHEMATICS 4024/12/M/J/18

23 (a) Find the matrix X, such that 2A X + = B. (b) Find the matrix Y, such that AY

O levels MATHEMATICS 4024/12/M/J/18

22 The diagram shows a circle, centre O, that passes through A, B, C and D. The tangents at A and B meet at T. ATB = 62° t and DAB = 53° t . (a) Find x. (b) Find y. (c) Find z. (d) Find t.

O levels MATHEMATICS 4024/12/M/J/18

21 The first four terms, u1, u2, u3 and u4, in a sequence of numbers are given below. (a) Evaluate u5 . (b) The nth term of the sequence, un, is of the form Write down the value of p and the value of q.(c) un can also be written in the form An2 + Bn + C

O levels MATHEMATICS 4024/12/M/J/18

20 (a) Giving your answers in standard form, find the value of (i) N * 700, (ii) 1/ N (b) Find the smallest positive integer M, given that MN is a cube number.

O levels MATHEMATICS 4024/12/M/J/18

19 (a) On the diagram, construct the perpendicular bisector of AB. [1] (b) On the diagram, construct the locus of points inside triangle ABC, that are (i) 7 cm from C, [1] (ii) equidistant from AB and AC. [1] (c) P is any point which is

O levels MATHEMATICS 4024/12/M/J/18

18 The region R is defined by the inequalities On the diagram, shade and label the region R. [3]

O levels MATHEMATICS 4024/12/M/J/18

17 The diagram shows a pyramid. The square base, ABCD, has an edge of 3cm. The base is horizontal, and vertex E is vertically above D, where ED = 4 cm.

O levels MATHEMATICS 4024/12/M/J/18

16 The masses of 200 beetles were measured. The results are summarised in the cumulative frequency table and part of the cumulative frequency curve is drawn. (a) Complete the cumulative frequency curve. [1] (b) Use the curve to find an estimate for

O levels MATHEMATICS 4024/12/M/J/18

15 During two weeks, a shopkeeper records the number of packets of two different types of tea he sells and the profit he makes from them. (a) Work out (b) Explain the meaning of your answer to part (a).

O levels MATHEMATICS 4024/12/M/J/18

14 An irregular polygon has 22 sides. (a) Calculate the sum of all its interior angles. (b) Two of the angles in the polygon are each 170°. The remaining 20 angles are equal to each other. Calculate the size of one of the 20 equal angles.

O levels MATHEMATICS 4024/12/M/J/18

13 In a school of 270 children, the distance each child can swim was recorded. The distances are summarised in the table. (a) Complete the table to show the frequency densities. [2] (b) Calculate an estimate for the number of children who could swim more

O levels MATHEMATICS 4024/12/M/J/18

12 A dice is thrown 400 times. The results are shown in the table. (a) Find the relative frequency of throwing the number 2. (b) Imran throws the dice 1000 times. How many times would you expect the number 2 to be thrown?

O levels MATHEMATICS 4024/12/M/J/18

11 f(x) = 1/ 3x+ 2 (a) Find f(–2). (b) Find f –1(x).

O levels MATHEMATICS 4024/12/M/J/18

10 By writing each number correct to 2 significant figures, calculate an estimate of

O levels MATHEMATICS 4024/12/M/J/18

9 Express each of the following as a single fraction in its simplest form.

O levels MATHEMATICS 4024/12/M/J/18

8 Solve 4/x-11 = 1/3x

O levels MATHEMATICS 4024/12/M/J/18

7 (a) Triangle OPQ is part of a figure that has rotational symmetry of order 2 about the point O. Complete the figure. (b) The diagram shows a circle, its centre, and two chords. Add one chord, to give a diagram that has one line of symmetry.

O levels MATHEMATICS 4024/12/M/J/18

6 A rectangle has length 64mm and width 37mm each correct to the nearest millimetre. (a) Write down the lower bound for the length. (b) Calculate the lower bound for the perimeter of the rectangle.

O levels MATHEMATICS 4024/12/M/J/18

5 (a) Factorise 25t 2 - 4. (b) Factorise x2 - 6x - 3xy + 18y.

O levels MATHEMATICS 4024/12/M/J/18

4 y is inversely proportional to the square of x. Given that y = 10 when x = 3, find y when x = 1/2 1.

O levels MATHEMATICS 4024/12/M/J/18

3(a) Arrange the five numbers in order, starting with the smallest. (b) For the five numbers, find (i) the mean, (ii) the range.

O levels MATHEMATICS 4024/12/M/J/18

2 (a) Cecil bought a camera for $120. After two years he sold it for $90. Calculate the percentage loss. (b) Some money is shared between Miriam and Nina in the ratio 2 : 3. (c) Given that a : b = 5 : 6 and b : c = 3 : 8 find a : b : c.

O levels MATHEMATICS 4024/12/M/J/18

1 (a) Evaluate (b) Evaluate 0.9 *0.011 .

O levels MATHEMATICS 4024/12/M/J/18

11 A vertical mast, XY, is positioned on horizontal ground. The mast is supported by four cables attached to the mast at P and to the ground at points A, B, C and D. Y is the centre of the square ABCD. PY = 7.50m. (a) Given that AB = 3.65m, show that AY =

O levels MATHEMATICS 4024/22/O/N/17

10 A rectangular picture, ABCD, is placed inside a rectangular frame. The length, AB, of the picture is three times its height, x cm. The width of the frame is 2cm. (a) The total area of the picture and the frame is 476 cm2 (b) Solve the equation (c) Find

O levels MATHEMATICS 4024/22/O/N/17

9 (a) The ventilation shaft for a tunnel is in the shape of a cylinder. The cylinder has radius 0.4m and length 15m. Calculate the volume of the cylinder (b) The diagram shows the cross-section of the tunnel. The cross-section of the tunnel is a major s

O levels MATHEMATICS 4024/22/O/N/17

8 The diagram shows two circles each with centre O. A, B, C and D are points on the circumference of the large circle. E, F and G are points on the circumference of the small circle. CGD and CFB are tangents to the small circle. Lines AEOC and FG intersec

O levels MATHEMATICS 4024/22/O/N/17

7 (a) The variables x and y are connected by the equation Some corresponding values of x and y are given in the table below. (i) Complete the table. [1] (b) This is a sketch of the graph of y = pax , where a 2 0. The graph passes through the points (0,

O levels MATHEMATICS 4024/22/O/N/17

6 (a)  = {x : x is an integer and 10 G x G 20} A = {x : x is an odd number} B = {x : x is a multiple of 5} (b) In a survey, 40 people were asked what they had read that day.

O levels MATHEMATICS 4024/22/O/N/17

5 (a) Express as a single fraction in its simplest form (b) Solve (c) Anil and Yasmin buy some pens and notebooks from the same shop. (i) Form a pair of simultaneous equations to represent this information.

O levels MATHEMATICS 4024/22/O/N/17

4 (a) Triangle A is shown on the grid. (i) Triangle A is mapped onto triangle B by a translation of 7 -5 J L K K N P O O. Draw and label triangle B on the grid. [2] (ii) Triangle A is mapped onto triangle C by an enlargement scale factor -2, centre (-1,

O levels MATHEMATICS 4024/22/O/N/17

3 Anya makes T-shirts. The matrix, M, shows the number of T-shirts of different types she makes in one week. (a) Anya sells all of these T-shirts to a shop. She charges $5 for each small T-shirt, $6 for each medium T-shirt and $8 for each large T-shirt.

O levels MATHEMATICS 4024/22/O/N/17

2 A company asked their employees how long they took to travel to work one day. The table summarises the times for 120 employees. (a) (i) Complete the cumulative frequency table below. (ii) On the grid, draw a smooth cumulative frequency curve to repres

O levels MATHEMATICS 4024/22/O/N/17

1 (a) Sara buys a new car. The cash price of the car is $4500. She can pay for the car using option A or option B. Which option is cheaper and by how much? (b) Sara’s car uses 5.2 litres of petrol for each 100km she drives. Petrol costs $0.85 per litr

O levels MATHEMATICS 4024/22/O/N/17

27 In the diagram, (a) Find (b) T is the point where (i) Express OT as a column vector in terms of k. (ii) M is the point such that O, T and M lie on a straight line and OM Find the value of k.

O levels MATHEMATICS 4024/12/O/N/17

26 The sequence of diagrams shows patterns made from some black beads and some white beads. Each diagram has two rows more than the previous diagram. (a) Complete the table for Diagram 5. (b) Write down an expression, in terms of n, for (c) Find an expres

O levels MATHEMATICS 4024/12/O/N/17

25 In the diagram, the equation of the line AC is 7x + 5y = 35. (a) Write down the three inequalities that define the region inside triangle ABC. (b) The line y = kx, where k is an integer, passes through triangle ABC. Find the greatest possible value of

O levels MATHEMATICS 4024/12/O/N/17

24 The diagram is the speed-time graph of part of a train’s journey. (a) Calculate the speed when t = 5. (b) Calculate the acceleration. (c) Calculate the distance travelled from t = 40 to t = 60.

O levels MATHEMATICS 4024/12/O/N/17

23 The diagram shows the triangle ABC. (a) Measure angle ABC. (b) On the diagram, construct the perpendicular bisector of AB. [1] (c) On the diagram, construct the locus of points that are 5cm from C. [1] (d) The points P and Q lie on the perpendicular bi

O levels MATHEMATICS 4024/12/O/N/17

22 (a) Factorise 9a2 - 6a. (b) Factorise 4 - 25t2 .

O levels MATHEMATICS 4024/12/O/N/17

21 (a) Express as a single matrix. (b) Find the inverse of

O levels MATHEMATICS 4024/12/O/N/17

20 The coordinates of P and M are (-3, 10) and (0, 4). (a) Find the gradient of the line PM. (b) Find the equation of the line PM. (c) M is the midpoint of PQ. Find the coordinates of Q.

O levels MATHEMATICS 4024/12/O/N/17

19 Each time an archer fires an arrow, the probability that she hits the target is 0.7 . She fires two arrows. (a) Complete the tree diagram. (b) Find the probability that (i) she hits the target twice, (ii) she hits the target exactly once.

O levels MATHEMATICS 4024/12/O/N/17

18 An open rectangular tray has inside measurements length 11cm width 6cm height 5cm. (a) Calculate the total surface area of the four sides and base of the inside of the tray. (b) Cubes are placed in the tray and a lid is placed on top. Each cube has an

O levels MATHEMATICS 4024/12/O/N/17

17 (a) Find 110% of 70. (b) When new, a car was worth $15000. After one year it was worth $12000. Calculate the percentage reduction in its value.

O levels MATHEMATICS 4024/12/O/N/17

16 (a) Write the number 360 million in standard form. (b) Expressing each answer in standard form, find (i) p # q,

O levels MATHEMATICS 4024/12/O/N/17

15 The diagram shows a figure made from five identical triangles. The figure has rotational symmetry. (a) Write down the order of rotational symmetry (b) Each marked angle is 110°. Find the angles of one of the triangles.

O levels MATHEMATICS 4024/12/O/N/17

14 Find the two solutions which are negative integers.

O levels MATHEMATICS 4024/12/O/N/17

13 The distribution of the lengths of time spent on the internet on a Monday by each member of a group of students is given in the table. The histogram represents some of this information.

O levels MATHEMATICS 4024/12/O/N/17

12 a x =5 (a) Find a 2x . (b) Find a-x .

O levels MATHEMATICS 4024/12/O/N/17

11 The mean age of Ali, Ben and Chris is 14 years 3 months. Dai’s age is 15 years and 3 months. Calculate the mean age of the four people.

O levels MATHEMATICS 4024/12/O/N/17

10 By making suitable approximations, calculate an estimate Show clearly the approximations you use and give your answer correct to 1 significant figure.

O levels MATHEMATICS 4024/12/O/N/17

9 The area of a rectangle is given as 8cm2, correct to the nearest cm2. (a) Write down the lower bound for the area of the rectangle. (b) The width of the rectangle is given as 2cm, correct to the nearest cm. Calculate the lower bound for the length of t

O levels MATHEMATICS 4024/12/O/N/17

8 Thirty students were asked on how many days they ate pasta last week. The results are given in the table. (a) Find the mode. (b) Find the median.

O levels MATHEMATICS 4024/12/O/N/17

7 In the diagram, ABC is parallel to DEFG. BC = BE, ACtE= 35° and BFtG = 102°. (a) Find CBtF (b) Find ABtE.

O levels MATHEMATICS 4024/12/O/N/17

6 (a) The diagram shows a scale from 3.8 to 3.9, divided into five equal parts. What is the value at the mark labelled P? (b) The points X and Y lie on the line AB such that AX : XY : YB = 3 : 2 : 4. AB = 18cm.

O levels MATHEMATICS 4024/12/O/N/17

5 The timetable for buses from A to E, calling at B, C and D, is given below. (a) How many minutes does each journey from A to E take? (b) Sharon has an appointment at D at 3.30 p.m. What is the latest time she can catch a bus from B?

O levels MATHEMATICS 4024/12/O/N/17

4 f(x) = x/4 (a) Find f (b) Find f -1 (x).

O levels MATHEMATICS 4024/12/O/N/17

3 y is inversely proportional to x. Given that y = 1 /6when x = 30, find y when x = 10.

O levels MATHEMATICS 4024/12/O/N/17

2 The masses, in kilograms, of 20 parcels sent by a dispatch centre are given in the table. (a) By using tally marks, or otherwise, complete the grouped frequency distribution for these masses. (b) The results are to be shown in a pie chart. Calculate th

O levels MATHEMATICS 4024/12/O/N/17

1 (a) Evaluate (b) Evaluate 90/0 4. 5

O levels MATHEMATICS 4024/12/O/N/17

12 OAB is a sector of a circle, centre O, and radius 10cm. AÔB = 72° and C is the point on the arc AB such that OC bisects AÔB. (a) Calculate the perimeter of sector OAB. (b) (i) Calculate the area of sector OAB. (ii) Calculate the total shaded area. (c)

O levels MATHEMATICS 4024/22/M/J/17

11 (a) The table below summarises the times taken by 50 athletes to run 400m. (i) State the modal class. (ii) Calculate an estimate of the mean time taken by these athletes. (iii) Calculate the probability that an athlete chosen at random took less than

O levels MATHEMATICS 4024/22/M/J/17

10 The diagram shows the position of point A. Point B is 8cm from A on a bearing of 062°. Point C is 6.5cm from A on a bearing of 194°. (a) (i) Find and label B and C. [3] Point D is the point on BC that is the shortest distance from A. (ii) Find and lab

O levels MATHEMATICS 4024/22/M/J/17

9 A random number, x, is generated, where x is any real number. (a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.

O levels MATHEMATICS 4024/22/M/J/17

8 ABCDE is the cross-section of a building. All the lengths are given in metres. (a) Calculate DC. (b) Calculate angle EAB. (c) Calculate the area of the cross-section.

O levels MATHEMATICS 4024/22/M/J/17

7 The diagrams show patterns made from crosses ( ) and circles ( ). (a) Draw pattern 5 above. [1] The table shows the number of crosses and circles in each pattern (b) Complete the table. [2] (c) Find an expression, in terms of n, for the total number of

O levels MATHEMATICS 4024/22/M/J/17

6 Triangle PQR has a right angle at P, angle PRQ R = = 38° c and Q 12 m. (a) Calculate PQ (b) S is a point such that angle PRS is a right angle and QS = 10 cm. Calculate the two possible values of angle QSR.

O levels MATHEMATICS 4024/22/M/J/17

5 (a) Express as a single fraction, as simply as possible, (b) Simplify (c) Solve , giving your answers correct to 2 decimal places.

O levels MATHEMATICS 4024/22/M/J/17

4 (a) Calculate 2B – 3A. (b) Calculate BC. (c) Calculate A–1 + A.

O levels MATHEMATICS 4024/22/M/J/17

3 Rowena spins two fair spinners, each numbered 1 to 4. Her score is the value when the numbers on the two spinners are multiplied together. The table shows some of Rowena’s possible scores.

O levels MATHEMATICS 4024/22/M/J/17

2 The table below shows the population, given to the nearest thousand, of some countries.(a) In 2015, how much larger was the population of Pakistan than the population of South Korea? (b) Which country had the smallest increase in population between 2014

O levels MATHEMATICS 4024/22/M/J/17

1 (a)A family of 2 adults and 3 children travel to Sydney for a holiday lasting 14 nights. Calculate the lowest total cost of the flight, accommodation and insurance for their holiday (b) The family hires a car for 14 days and estimates their total milea

O levels MATHEMATICS 4024/22/M/J/17

24 A bag contains n balls. 3 of the balls are white. Two balls are taken from the bag, at random, without replacement. (a) Complete the tree diagram.

O levels MATHEMATICS 4024/12/M/J/17

23 (a) Solve (b) Simplify fully

O levels MATHEMATICS 4024/12/M/J/17

22 A container is made out of thin material in the shape of a cuboid with an open top. The container has length 15cm and width 8cm. The volume of the container is 720cm3. (a) Calculate the height, h cm, of the container.

O levels MATHEMATICS 4024/12/M/J/17

21 OACB is a parallelogram. OA = a and OB = b. P and Q are points on OC such that OP = PQ = QC. (a) Express, as simply as possible, in terms of a and b, (i) OP, (b) Show that triangles OAQ and CBP are congruent.

O levels MATHEMATICS 4024/12/M/J/17

20 (a) (i) Write 54 as the product of its prime factors. (ii) Find the smallest possible integer m such that 54m is a cube number. (b) Find the value of k in each of the following.

O levels MATHEMATICS 4024/12/M/J/17

19 (a) A pentagon has four angles of 2x° and one angle of x°. Calculate the value of x. (b) ABCD and EBCF are parts of two identical regular n-sided polygons.

O levels MATHEMATICS 4024/12/M/J/17

18 The diagram is the speed-time graph for 25 seconds of a car’s journey. The car slows down uniformly from a speed of vm/s to a speed of 12m/s in 15 seconds. It then travels at constant speed for a further 10 seconds. (a) The retardation of the car is 0.

O levels MATHEMATICS 4024/12/M/J/17

17 In the diagram, P, Q, R, S and T lie on the circle. QT is a diameter of the circle, centre O. X is the point of intersection of PS and QT. PXTt = 125° and P QS t = 35°. (a) Complete the following statement with a geometrical reason.

O levels MATHEMATICS 4024/12/M/J/17

16 A is the point (0, 3), B is the point (1, 5) and C is the point (p, –1). (a) Find the equation of the line AB. (b) The gradient of the line BC is 3/4 . Find the value of p.

O levels MATHEMATICS 4024/12/M/J/17

15 The diagram shows triangles A and B. (a) Describe fully the single transformation that maps triangle A onto triangle B. (b) Triangle A is mapped onto triangle C by a rotation, 90° anti-clockwise about the origin.

O levels MATHEMATICS 4024/12/M/J/17

14 f(x) (a) Given that f(11) = 7, find the value of k. (b) Find f –1(x).

O levels MATHEMATICS 4024/12/M/J/17

13 (a) Rani has $240. She spends 5/8 of this on a new phone. Work out the cost of the phone.

O levels MATHEMATICS 4024/12/M/J/17

12 y is inversely proportional to the square of x. The table shows some values for x and y (a) Find the equation connecting x and y. (b) Find the value of p.

O levels MATHEMATICS 4024/12/M/J/17

11 Solve the simultaneous equations.

O levels MATHEMATICS 4024/12/M/J/17

10 (a) Here are the masses, in grams, of 8 apples. Find the median mass. (b) A bag contains 5 carrots. The mean mass of the carrots is 60g.

O levels MATHEMATICS 4024/12/M/J/17

9 (a) Write down all the integers that satisfy the inequality (b) Complete the following inequality with a fraction. (c) Write down an irrational value of n that satisfies this inequality.

O levels MATHEMATICS 4024/12/M/J/17

8 (a) A film starts at 22 35 and finishes at 01 20. How long, in hours and minutes, does the film last? (b) On 1 May, Leila starts to go swimming every day. She swims 30 lengths of the swimming pool every day. The swimming pool is 20m long. Work out t

O levels MATHEMATICS 4024/12/M/J/17

7 (a) Use set notation to describe the shaded set in the Venn diagram. (b) Use set notation to complete the statement about sets C and D.

O levels MATHEMATICS 4024/12/M/J/17

6 A thermometer measures temperature correct to the nearest degree. The outside temperature is measured as –8°C. (a) Write down the upper bound of the outside temperature. (b) The inside temperature is measured as 10°C. Calculate the lower bound of the d

O levels MATHEMATICS 4024/12/M/J/17

5 The diagram shows the position of two villages A and B. (a) Measure the bearing of B from A. (b) The bearing of village C from A is 265°. Work out the bearing of A from C.

O levels MATHEMATICS 4024/12/M/J/17

4 A group of students were asked if they wanted a later start to the school day. The pie chart summarises the results. 200 students said no. Work out the number of students who said yes.

O levels MATHEMATICS 4024/12/M/J/17

3 By writing each number correct to one significant figure, estimate the value of

O levels MATHEMATICS 4024/12/M/J/17

2 (a) Shade one more small triangle in the shape below to make a pattern with one line of symmetry. (b) Shade two more small triangles in the shape below to make a pattern with rotational symmetry of order 2.

O levels MATHEMATICS 4024/12/M/J/17

1 (a) Evaluate (b) Evaluate 0 2. * 0.006 .

O levels MATHEMATICS 4024/12/M/J/17

11 (a) Six hundred candidates took a mathematics examination which consisted of two papers. Each paper was marked out of 100. The diagram shows, on the same grid, the cumulative frequency curves for Paper 1 and Paper 2.

O levels MATHEMATICS 4024/22/O/N/16

10 (a) ACB and OCD are straight lines. AC : CB = 1 : 2 . OA = 3a and OB = 6b. (i) Express AB in terms of a and b.

O levels MATHEMATICS 4024/22/O/N/16

9 ABCD is a level playing field. AB = 65m, BC = 70m and CA = 110m. C DA ˆ = 70°, D AC ˆ = 58° and C is due South of B. (a) Calculate the bearing of A from C. ABCD is a level playing field. AB = 65m, BC = 70m and CA = 110m. C DA ˆ = 70°, D AC ˆ = 58° and C

O levels MATHEMATICS 4024/22/O/N/16

8 (a) P and Q are points on the circumference of a circle, centre O, radius R cm. The minor arc PQ = 20cm and P OQ ˆ = 48°. (i) Show that R = 23.9, correct to one decimal place.

O levels MATHEMATICS 4024/22/O/N/16

7 (a) x (i) Calculate x when a = -0.73 and b = 1.84 . (ii) Express b in terms of x and a. (b) ABCD and PQRS are rectangles. AD = x cm and PS = (x + 5) cm. Each rectangle has an area of 17cm2.

O levels MATHEMATICS 4024/22/O/N/16

6 (a) Find A + 2B. (b) Find AB. (c) Find x and y. (d) Find B-1 .

O levels MATHEMATICS 4024/22/O/N/16

5 In the diagram, A and B are the centres of two circles that touch at P. The line ACT touches the small circle at T and intersects the large circle at C. D is the point on AB such that C DA ˆ = 90°. (a) Complete the following, to show that triangle ACD i

O levels MATHEMATICS 4024/22/O/N/16

4 (a) In the framework ABCD, BD = 3m. B DA ˆ = 27°, B CDˆ = 41°. D BC ˆ and D ABˆ are right angles. (i) Find AD. (ii) Find CD (b) In triangle PQR, PQ = 3m and QR = 5m. The area of triangle PQR = 6m2. Find the two possible values of P QRˆ .

O levels MATHEMATICS 4024/22/O/N/16

3 (a) Complete the table of values for y (b) Using a scale of 2cm to 1 unit on both axes, draw the graph of y (c) By drawing a tangent, estimate the gradient of the curve at the point where x = 2.5 .

O levels MATHEMATICS 4024/22/O/N/16

2 (a) Simplify (b) Simplify (c) Factorise (e) (i) Find the two solutions of 5 1 x - =!9 (ii) The solutions of 5 1 x - =!9 are also the solutions of 5 0 x Bx C 2 + + = , where B and C are integers. Find B and C.

O levels MATHEMATICS 4024/22/O/N/16

1 The basic price of the 2016 model of a car is $21000. Sayeed and Rasheed each buy this model of car. (a) (i) Sayeed pays a deposit of $756. Calculate the deposit Sayeed pays as a percentage of the basic price.

O levels MATHEMATICS 4024/22/O/N/16

27 The diagram shows the speed-time graph of a car which slows down from 30m/s to 12m/s in 20 seconds, and then continues at a speed of12 m/s. (a) Find the retardation when t = 10

O levels MATHEMATICS 4024/12/O/N/16

26 Two sequences have 1, 3, 5 as their first three terms. (a) In the first sequence, each term is 2 more than the term before it. (i) Find an expression, in terms of n, for the nth term.

O levels MATHEMATICS 4024/12/O/N/16

25 In the diagram, the line 3y + 2x = 13 meets the axes at A and B. (a) Find the coordinates of A.

O levels MATHEMATICS 4024/12/O/N/16

24 In the diagram, A, B, C, D and E lie on the circle, centre O. BOE is a straight line. D ABˆ = 34° . (a) Find x.

O levels MATHEMATICS 4024/12/O/N/16

23 The diagram shows a square piece of card, from which a triangle and two small squares are removed. All lengths on the diagram are in centimetres. (a) Calculate the area of the shaded card.

O levels MATHEMATICS 4024/12/O/N/16

22 The diagram shows triangle ABC. (a) Construct the locus of points, inside triangle ABC, that are equidistant from A and B. [1] (b) Construct the locus of points, inside triangle ABC, that are equidistant from AB and BC. [1] (c) On the diagram, shade th

O levels MATHEMATICS 4024/12/O/N/16

21 During a storm, raindrops fall into a cylinder which stands on horizontal ground. The cylinder was empty before the storm started.

O levels MATHEMATICS 4024/12/O/N/16

20 Solve the equation Answer x = ..

O levels MATHEMATICS 4024/12/O/N/16

19 A box has a mass of 1.7kg, correct to the nearest 0.1kg. (a) Write down the lower bound for the mass of the box. (b) The box holds 100 jars. Each jar has a mass of 140 grams, correct to the nearest 10 grams. Calculate the lower bound of the total mas

O levels MATHEMATICS 4024/12/O/N/16

18 Four cards are marked with the numbers 1, 2, 3 and 4. One card is chosen at random. A second card is then chosen, at random, from the remaining three cards. The sum of the numbers on the two chosen cards is calculated. (a) Complete the table to show th

O levels MATHEMATICS 4024/12/O/N/16

17 (a) Some money is shared between Ali, Ben and Carl in the ratio 5 : 3 : 2. Ben receives $60. How much money is shared?

O levels MATHEMATICS 4024/12/O/N/16

16 (a) Evaluate (b) Evaluate (c) Simplify

O levels MATHEMATICS 4024/12/O/N/16

15 Solve the simultaneous equations. 3x + y = 9 , 2x + 3y = -8

O levels MATHEMATICS 4024/12/O/N/16

14 (a) In the Venn diagram, shade the region which represents the subset (b) In a group of 36 students, 23 study Spanish, 17 study French, 4 study neither Spanish nor French. By drawing a Venn diagram, or otherwise, find the number of students who stu

O levels MATHEMATICS 4024/12/O/N/16

13 Triangle ABC is mapped onto triangle Al l B Cl by a rotation, centre O, through 110° clockwise. Draw and label triangle Al l B Cl.

O levels MATHEMATICS 4024/12/O/N/16

12 A school recorded the number of absent students over a 50-day period. The results are given in the table.(a) Write down the mode. (b) Calculate the mean.

O levels MATHEMATICS 4024/12/O/N/16

11 y varies inversely as the square of x. (a) When x = 2, y = 9. Find the value of y when x = 3.

O levels MATHEMATICS 4024/12/O/N/16

10 f(x) = 4 + 3x (a) Find f (b) Find f -1

O levels MATHEMATICS 4024/12/O/N/16

9 The diagram shows part of the histogram which represents the distribution of times taken by some people to travel to work. (a) Complete the table. (b) Complete the histogram.

O levels MATHEMATICS 4024/12/O/N/16

8 (a) Write the number 513000 in standard form. (b) Expressing your answer in standard form, evaluate

O levels MATHEMATICS 4024/12/O/N/16

7 The diagram shows triangle A. Triangle A is mapped onto triangle B by an enlargement. The enlargement has centre (3, 3) and scale factor -2. Draw and label triangle B

O levels MATHEMATICS 4024/12/O/N/16

6 By making suitable approximations, estimate the value of Show clearly the approximations you use.

O levels MATHEMATICS 4024/12/O/N/16

5 In the diagram, ABC is a straight line and BF is parallel to DE. F BAˆ = 74° and D BF ˆ = 65°. (a) Find C BDˆ .(b) Find reflex B DEˆ .

O levels MATHEMATICS 4024/12/O/N/16

4 (a) The total cost of 3 pencils is $1.23 . Find the total cost of 5 pencils. (b) Arrange the following in order, starting with the smallest.

O levels MATHEMATICS 4024/12/O/N/16

3 (a) In the diagram, five small squares are shaded. Shade one more small square, so that the diagram has exactly one line of symmetry. [1] (b) In the diagram, three small squares are shaded. Shade one more small square, so that the diagram has rotati

O levels MATHEMATICS 4024/12/O/N/16

2 Given that 192 # 64.3 = 12345.6 , write down the values of (a) 0.192 # 643 ,

O levels MATHEMATICS 4024/12/O/N/16

1 (a) Evaluate 9.03 - (4.273 + 2.3) .(b) Evaluate

O levels MATHEMATICS 4024/12/O/N/16

11 (a) Solid I is a cylinder with a small cylinder removed from its centre, as shown in the diagram. The height of each cylinder is 20cm and the radius of the small cylinder is r cm. The radius of the large cylinder is 3.5cm greater than the radius of

O levels MATHEMATICS 4024/22/M/J/16

10 Triangles A, B, C and D are drawn on a centimetre square grid. (a) The perimeter of triangle A is ^ h a b + cm, where a and b are integers. Find a and b.(b) Triangle A is mapped onto triangle B by the translation T. Write down the column vector that

O levels MATHEMATICS 4024/22/M/J/16

9 (a) The diagram shows a vertical wind turbine with blades 30m long. The blades are stationary with the point A being the maximum distance possible from the horizontal ground. The point B is such that the angle of elevation of A from B is 34° and the

O levels MATHEMATICS 4024/22/M/J/16

8 The table below shows some values of x and the corresponding values of y (a) Complete the table. [1] (b) On the grid below, draw the graph of y (c) By drawing a suitable line, find the gradient of your graph where x = 4.(d) (i) Show that the line 2x + y

O levels MATHEMATICS 4024/22/M/J/16

7 One day, garage A records the amount of petrol bought by the first 120 customers. The results are summarised in the table below. (a) Complete the cumulative frequency table below. (b) On the grid below, draw a cumulative frequency curve to represent thi

O levels MATHEMATICS 4024/22/M/J/16

6 (a)  = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 } A = { x : x is a prime number } B = { x : x is an even number } C = { x : x is a multiple of 5 } (i) List the members of the subsets

O levels MATHEMATICS 4024/22/M/J/16

5 (a) Factorise fully (b) Solve (c) Solve (d) A rectangle has length 2x cm, perimeter 18cm and area 10cm2.

O levels MATHEMATICS 4024/22/M/J/16

4 (a) Triangle ABC has sides AB = 8cm, AC = 7cm and BC = 12cm. (i) Use a ruler and compasses to construct triangle ABC. Side AB has been drawn for you. (b) Calculate the interior angle of a regular 12-sided polygon. (c) The diagram shows a hexagon with

O levels MATHEMATICS 4024/22/M/J/16

3 Steven asked 25 women how many children they have. The results are summarised in the table below.(a) Find (i) the mean, (b) Steven says that the mode is the average that best represents the data. Explain why Steven is wrong.

O levels MATHEMATICS 4024/22/M/J/16

2 (a) (i) Find JM (b)In the diagram, OA = a and OB = b. C is the point such that OAC is a straight line and AC = 2OA. D is the midpoint of OB. E is the point such that EC = OD. (i) Express, as simply as possible, in terms of a and b,

O levels MATHEMATICS 4024/22/M/J/16

1 (a) Each year the Reds play the Blues in a baseball match. In 2014, there were 40 500 tickets sold for the match. In 2015, the number of tickets sold was 2.4% more than in 2014. Calculate the number of tickets sold for the match in 2015.

O levels MATHEMATICS 4024/22/M/J/16

26 (a) Make p the subject of the formula t (b) Simplify fully

O levels MATHEMATICS 4024/12/M/J/16

25 (a) The nth term of a sequence is given by n n5 2 - . (i) Find the 2nd term in the sequence. (b) The nth term of another sequence is given by 3n kn 2 - . The 5th term in this sequence is 55. Find the value of k.

O levels MATHEMATICS 4024/12/M/J/16

24 The diagram shows a sector of a circle with radius 3r cm and angle a° and a circle with radius r cm. The ratio of the area of the sector to the area of the circle with radius r cm is 8 : 1. (a) Find the value of a.

O levels MATHEMATICS 4024/12/M/J/16

23 The table and histogram show some information about the times taken by a group of students to travel to school one day.(a) Complete the histogram. [2] (b) Find the value of m.

O levels MATHEMATICS 4024/12/M/J/16

22 The table shows the populations, correct to 2 significant figures, of some African countries in 2014. (a) In 2014, the population of Nigeria was 177156 000 (b) Complete the following. The population of Chad was ............... times the population of

O levels MATHEMATICS 4024/12/M/J/16

21 (a) The table shows the values of the function f^ hx for some values of x. Express the function f^ hx in terms of x.

O levels MATHEMATICS 4024/12/M/J/16

20 A bag contains 10 counters of which 8 are blue and 2 are white. Two counters are taken from the bag at random without replacement. (a) Complete the tree diagram to show the possible outcomes and their probabilities.

O levels MATHEMATICS 4024/12/M/J/16

19 AB is a diameter of the circle, centre O. PA and QB are tangents to the circle at A and B respectively. Prove that triangle PAO is congruent to triangle QBO. Give a reason for each statement you make.

O levels MATHEMATICS 4024/12/M/J/16

18 The diagram is the speed-time graph for part of a car’s journey The retardation of the car between t = 8 and t = 12 is 4m/s2. (a) Find v. (b) Find the total distance travelled by the car in the 12 seconds.

O levels MATHEMATICS 4024/12/M/J/16

17 In the diagram, the bearing of B from A is 170°. The bearing of A from C is 060°. The bearing of C from B is x°. Given that triangle ABC is isosceles, find the three possible values of x.

O levels MATHEMATICS 4024/12/M/J/16

16 Anil has some sweets with a mass of 600g, correct to the nearest 10 grams. (a) Write down the lower bound of the mass of sweets. (b) Anil sells the sweets in small portions. Each portion has a mass of 25g, correct to the nearest gram. He sells 10 por

O levels MATHEMATICS 4024/12/M/J/16

15 The diagram shows the lines x +y = 8 and 2y = x+ 4(a) The shaded region on the diagram is defined by three inequalities. Write down these three inequalities..

O levels MATHEMATICS 4024/12/M/J/16

14 The coordinates of the midpoint of the line AB are (1, 2). The length of the line AB is 10 units. (a) If the gradient of AB is 0, find the coordinates of A and B. (b) If the gradient of AB is 4 /3 , find the coordinates of A and B

O levels MATHEMATICS 4024/12/M/J/16

13 (a) Write these values in order of size, starting with the smallest. (b) Write down one possible value of x that satisfies each inequality.

O levels MATHEMATICS 4024/12/M/J/16

12 The diagram below shows triangle ABC (a) On the diagram construct the locus of points inside the triangle that are (i) 3.5cm from A, [1] (ii) equidistant from AC and BC. [1] (b) On the diagram, shade the region inside the triangle containing the poin

O levels MATHEMATICS 4024/12/M/J/16

11 Simplify

O levels MATHEMATICS 4024/12/M/J/16

10 Solve the simultaneous equations.

O levels MATHEMATICS 4024/12/M/J/16

9 50 students are asked what type of movie they like to watch. Of these students, Using a Venn diagram, or otherwise, find the number of students who like action but not comedy.

O levels MATHEMATICS 4024/12/M/J/16

8 y is directly proportional to the square of x. When x = 10, y = 20. Find the value of y when x = 6.

O levels MATHEMATICS 4024/12/M/J/16

7 The table shows information about some flights from Dubai to Mumbai. (a) Work out the time difference between Dubai and Mumbai. (b) Work out the local time in Mumbai when the 16 10 flight arrives.

O levels MATHEMATICS 4024/12/M/J/16

6 (a) Express 96 as a product of its prime factors. (b) 24 is a common factor of 96 and the integer n. Given that n is less than 96, find the largest possible value of n.

O levels MATHEMATICS 4024/12/M/J/16

5 The table shows some information about the temperatures in a city. (a) Find the difference between the maximum and minimum temperatures on 1 March. (b) The minimum temperature, T °C, on 1 February was 13 degrees lower than the minimum temperature on 1

O levels MATHEMATICS 4024/12/M/J/16

4 Complete the table. Fraction Decimal Percentage

O levels MATHEMATICS 4024/12/M/J/16

3 It is given that 100 dollars ($) is equivalent to 56 pounds (£). (a) Use this information to draw a conversion graph between pounds and dollars on the grid below. (b) Use your graph to convert $64 to pounds.

O levels MATHEMATICS 4024/12/M/J/16

2 (a) Complete this description. A rectangle has rotational symmetry of order ……… and ……… lines of symmetry. [1] (b) Shade 4 more small squares in the shape below to make a pattern with rotational symmetry of order 4.

O levels MATHEMATICS 4024/12/M/J/16

1 (a) Evaluate (2.05 + 1.4) *0.2 .

O levels MATHEMATICS 4024/12/M/J/16

11 (a) ABCDE is a pentagon. AFB, AHE and BGC are straight lines

O levels MATHEMATICS 4024/22/O/N/15

10 The length of time taken by 80 drivers to complete a particular journey is summarised in the table below. (a) Using a scale of 2 cm to represent 10 minutes, draw a horizontal axis for times from 60 minutes to 130 minutes. Choose a suitable scale for t

O levels MATHEMATICS 4024/22/O/N/15

9 The distance, d metres, of a moving object from an observer after t minutes is given by (a) Some values of t and d are given in the table. The values of d are given to the nearest whole number where appropriate.

O levels MATHEMATICS 4024/22/O/N/15

8 (a) OAB is a sector of a circle, centre O, radius 6 cm. AOBt = 25°. (i) Calculate the length of the arc AB.

O levels MATHEMATICS 4024/22/O/N/15

7 ABD and ACE are straight lines. BD = 12 cm and CE = 4cm. AB = x cm and AC = (2x – 5) cm. Angle BAC = θ°. (a) Show that (b) It is given that

O levels MATHEMATICS 4024/22/O/N/15

6 (a) (i) Solve the equation Give both answers correct to 2 decimal places

O levels MATHEMATICS 4024/22/O/N/15

5 The diagram shows a vertical radio mast, AB. Three of the wires that hold the mast in place are attached to it at F, H and D. The base A of the mast, and the ends E, G and C of the wires are in a straight line on horizontal ground. (a) The wire CD has l

O levels MATHEMATICS 4024/22/O/N/15

4 (a) A spoon used for measuring in cookery consists of a hemispherical bowl and a handle. The internal volume of the hemispherical bowl is 20 cm3. The handle is of length 5cm. (i) Find the internal radius of the hemispherical bowl.

O levels MATHEMATICS 4024/22/O/N/15

3 (a) AC is a diameter of the circle, centre O. BCD and OED are straight lines. AC = 6 cm and CD = 3 cm. BAt C = 34°. (i) Explain why BCtA = 56°. (b) In the diagram, PS is the bisector of QPRt . QPT and QSR are straight lines. RT is parallel to SP. (i

O levels MATHEMATICS 4024/22/O/N/15

2 A is the point (8, 7), B is the point (–2, 11) and C is the point (1, 7). (a) Calculate the area of triangle ABC.

O levels MATHEMATICS 4024/22/O/N/15

1 (a) Fatima and Mohammed buy new bikes. (i) Fatima buys a city bike costing $360. She pays 60% of the cost then pays $15 per month for 12 months. (a) How much does Fatima pay altogether? (b) Express this amount as a percentage of the original cost.

O levels MATHEMATICS 4024/22/O/N/15

26 A, B and C are three triangles. T1, T2 and T3 are three transformations such that T1(A) = B, T2(A) = C and T3(C) = B. The vertices of triangle A are (1, 0), (0, 1) and (1, 3).

O levels MATHEMATICS 4024/12/O/N/15

25 The diagram shows the speed-time graph of car A. (a) Find the acceleration of car A when t = 7. (b) Find an expression, in terms of k, for the distance moved by car A between t = 0 and t = k, where k 2 10. Give your answer in its simplest form.

O levels MATHEMATICS 4024/12/O/N/15

24 The first term of a sequence is 13. The following terms are found by alternately adding 4 and 6 to the previous term. The first six terms are 13 17 23 27 33 37 (a) Write down the next two terms of the sequence.

O levels MATHEMATICS 4024/12/O/N/15

23 A fair 4-sided spinner is numbered 1, 2, 3 and 4. (a) Anil spins it once. He gets his score by doubling the number obtained. Complete the table to show the probabilities of his scores. (b) Billie spins it twice. She gets her score by adding the numbe

O levels MATHEMATICS 4024/12/O/N/15

22 P is the point (1, –3) and Q is the point (7, 2). (a) Find the coordinates of the midpoint of PQ. (b) Find the gradient of the line PQ. (c) The line, L, with equation 2x – 5y = k, passes through the point Q. (i) Find the value of k.

O levels MATHEMATICS 4024/12/O/N/15

21 The diagram shows the positions of three ships A, B and C. It is drawn to a scale of 1cm to 20km. (a) Find, by measurement, the bearing of C from A (b) On the diagram construct the locus of points, inside triangle ABC, that are (c) A ship D is • equid

O levels MATHEMATICS 4024/12/O/N/15

20 The masses of 400 goats were measured. The results are shown in the cumulative frequency graph (a) Use the graph to find (i) the median, (b) It was noticed later that the scales used were faulty and that the true readings should all be 2kg more. On t

O levels MATHEMATICS 4024/12/O/N/15

19 All the angles of a polygon are either 155° or 140°. There are twice as many angles of 155° as 140°. Find the number of sides of the polygon.

O levels MATHEMATICS 4024/12/O/N/15

18 The sides of the triangle ABC are formed by the straight lines with equations (a) The region inside the triangle is defined by three inequalities. Write down these three inequalities. .(b) The point (4, k), where k is an integer, lies inside the trian

O levels MATHEMATICS 4024/12/O/N/15

17 In the diagram, A, B, C, D and E lie on the circle, centre O. AC is a diameter. The tangent to the circle at C meets the line AB produced at T. ACB = 62° t and ACD = 70° t . (a) Find x.

O levels MATHEMATICS 4024/12/O/N/15

16 (a) Factorise (b) Express

O levels MATHEMATICS 4024/12/O/N/15

15 (a) On the Venn diagram, shade the set (b) % = { 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 } W = { x : x is a multiple of 2 } H = { x : x is a multiple of 3 } (i) Find n(W ∪ H) (ii) List the members of W H+ l

O levels MATHEMATICS 4024/12/O/N/15

14 Meeraa went on a journey from P to Q to R. The first part of the journey, from P to Q, took 4 hours to travel 80km. (a) Find the average speed for the journey from P to Q.(b) In the second part of the journey, from Q to R, she travelled 45 km. Her ave

O levels MATHEMATICS 4024/12/O/N/15

13 These two quadrilaterals are congruent. The lengths are in millimetres. Find the values of x, y and z.

O levels MATHEMATICS 4024/12/O/N/15

12 (a) Express 198 as the product of its prime factors.(b) (i) Find the largest number that divides exactly into M and N. (ii) Find the smallest value of k, such that M × k is a cube number.

O levels MATHEMATICS 4024/12/O/N/15

11 (a) Evaluate (b) Evaluate (c) Simplify

O levels MATHEMATICS 4024/12/O/N/15

10 (a) Express the number 0.000 004 5 in standard form.Expressing each answer in standard form, find (i) p × q

O levels MATHEMATICS 4024/12/O/N/15

9 At an athletics event, Dave and Ed each threw a javelin. Dave threw 60m, correct to the nearest 10 metres. Ed threw 61m, correct to the nearest metre. (a) Write down the lower bound for the distance thrown by Dave(b) Calculate the greatest possible diff

O levels MATHEMATICS 4024/12/O/N/15

8 a, b, c, d and e are five numbers, such that Arrange these numbers in order, starting with the smallest.

O levels MATHEMATICS 4024/12/O/N/15

7 (a) In the diagram, seven small triangles are shaded. Shade two more small triangles, so that the diagram will then have rotational symmetry of order 3. (b) In the diagram, ten small hexagons are shaded. Shade one more small hexagon, so that the diag

O levels MATHEMATICS 4024/12/O/N/15

6 Evaluate 3

O levels MATHEMATICS 4024/12/O/N/15

5 (a) Write the number 0.050 462 correct to 3 significant figures. (b) By writing each number correct to 1 significant figure, estimate the value of

O levels MATHEMATICS 4024/12/O/N/15

4 f(x) = 1 + 4x (a) Find f (-2/5 ) .

O levels MATHEMATICS 4024/12/O/N/15

3 y varies directly as the square root of x. Given that y = 18 when x = 9, find y when x = 4.

O levels MATHEMATICS 4024/12/O/N/15

2 (a) A trader buys 7 items for $4.10 each and 5 items for $6.40 each. He sells all of them for $10 each. Calculate his profit.(b) Find the simple interest on $450 for 5 years at 4% per annum.

O levels MATHEMATICS 4024/12/O/N/15

1 (a) Evaluate 0.03 × 0.3. (b) Evaluate 5 – 2(3 – 1.4).

O levels MATHEMATICS 4024/12/O/N/15

11 (a) Some people were asked which continent they visited on their last holiday. The results are shown in the table below.(i) Find the probability that one of these people, chosen at random, visited North America.(b) The table shows the distribution of

O levels MATHEMATICS 4024/22/M/J/15

10 (a) (i) Describe fully the single transformation that maps triangle A onto triangle B (b) State the number of lines of symmetry of the octagon above.

O levels MATHEMATICS 4024/22/M/J/15

9 (a) Factorise completely (c) 23 h A right-angled triangle has a base that is 7cm longer than its height, h cm. The hypotenuse of the triangle is 23cm.

O levels MATHEMATICS 4024/22/M/J/15

8 Two ports, A and B, are 15km apart and B is due south of A. A boat sails from A on a bearing of 141°.

O levels MATHEMATICS 4024/22/M/J/15

7 (a) f(x) = 2x+7/3 (b) (i) Complete the table of values for y , and hence draw the graph of y on the grid opposite.

O levels MATHEMATICS 4024/22/M/J/15

6 (a) Yuvraj and Sachin travel to England. Yuvraj exchanges 20500 rupees and receives £250. Sachin exchanges 26650 rupees into pounds (£) at the same exchange rate.

O levels MATHEMATICS 4024/22/M/J/15

5 In the diagram, AB = 8 cm, AC = 11cm and DC = 6.5cm. BAD = 26° t and DAC = 30° t .

O levels MATHEMATICS 4024/22/M/J/15

4 (a) A, B, C, D and E are five points on the circumference of a circle. EB is parallel to DC, EAC = 72° t and AEB = 25° t . X is the intersection of AC and EB. Find (i) EBtC , (b)The angle of a sector of a circle, radius 6cm, is 40°. (i) The area of

O levels MATHEMATICS 4024/22/M/J/15

3 (a) In a survey, 50 students were asked how long they spent exercising during one particular week. The results are summarised in the table. (i) Calculate an estimate of the mean time each student spent exercising that week. (b) A gym has four different

O levels MATHEMATICS 4024/22/M/J/15

2 The diagram is a speed-time graph of a train’s journey between two stations. (a) What was the maximum speed of the train?(b) Circle the statement that describes the train’s motion 350 seconds after it left the first station.

O levels MATHEMATICS 4024/22/M/J/15

1 (a) Simplify (b)(i) Find the gradient of line J. (ii) Write down the equation of line K.

O levels MATHEMATICS 4024/22/M/J/15

26 (a) The first four terms of a sequence, S, are 89, 83, 77, 71. (i) Find an expression for Sn, the nth term of this sequence.

O levels MATHEMATICS 4024/12/M/J/15

25 In the diagram, A is the midpoint of OC and B is the point on OD where OB 3 1 = OD. OA = a and OB = b. (a) Express, as simply as possible, in terms of a and b b) E is the point on CD whereCE : ED = 1 : 2 .

O levels MATHEMATICS 4024/12/M/J/15

24 The solid is formed from a hemisphere of radius r cm fixed to a cone of radius r cm and height hcm. The volume of the hemisphere is one third of the volume of the solid. (a) Find h in terms of r.

O levels MATHEMATICS 4024/12/M/J/15

22 The scale of a map is 1 : 25000 . (a) The scale can be written as 1cm : dkm . Find d.

O levels MATHEMATICS 4024/12/M/J/15

23 (a) Solve the inequalities. (b) Solve the simultaneous equations.

O levels MATHEMATICS 4024/12/M/J/15

21 (a) Express as a single matrix (b) The determinant of A is 2 . (i) Find p. 22 The scale of a map is 1 : 25000 . (a) The scale can be written as 1cm : dkm . Find d. (b) The distance between two villages is 8km.   Find the distance, in centimetres,

O levels MATHEMATICS 4024/12/M/J/15

20 The times taken for 200 people to complete a 5km race were recorded. The results are summarised in the cumulative frequency diagram.(a) Use the diagram to estimate (i) the median time, (b) It was found that the recording of the times was inaccurate. 

O levels MATHEMATICS 4024/12/M/J/15

19 (a) Luis works in an office. For normal time he is paid $8 per hour. For overtime he is paid the same rate as normal time plus an extra 50%. (b) Sara invests $240 in an account that pays 3% per year simple interest. She leaves the money in the acco

O levels MATHEMATICS 4024/12/M/J/15

18 (a) Factorise completely (b) (i) Factorise

O levels MATHEMATICS 4024/12/M/J/15

17 The matrix represents the transformation T (a) Describe fully the transformation T. (b) The transformation T maps triangle A onto triangle B. The area of triangle B is x cm2. You may use the grid below to help you answer this question.

O levels MATHEMATICS 4024/12/M/J/15

16 (a) Evaluate (b) Simplify

O levels MATHEMATICS 4024/12/M/J/15

15 c = 8a - 3b (a) Find c when a = 3 and b = - 4 . (b) Rearrange the formula to make b the subject.

O levels MATHEMATICS 4024/12/M/J/15

14 In triangle ABC, AB = 5cm and AC = 6cm. (a) Construct triangle ABC. Line BC is drawn for you.

O levels MATHEMATICS 4024/12/M/J/15

13 (a) Express 60 as a product of its prime factors.(b) Find the smallest possible integer m such that 60m is a square number. (c) The lowest number that is a multiple of both 60 and the integer n is 180 .   Find the smallest possible value of n.

O levels MATHEMATICS 4024/12/M/J/15

12 Omar has a pack of number cards. He picks these five cards. _2 _4 _2 4 1 (a) Write down the mode of the five numbers(b) He takes another card from the pack.   (i) If the mean of the six numbers is -1, what number did he pick?

O levels MATHEMATICS 4024/12/M/J/15

The diagram shows the line y x = + 2 1 . The point P has coordinates (a, b) where a and b are both positive integers. The values of a and b satisfy the inequalities a 1 2,b 1 7andb a 2 2 1 + .

O levels MATHEMATICS 4024/12/M/J/15

10 These two triangles are congruent. The lengths are in centimetres, correct to the nearest 0.1 cm

O levels MATHEMATICS 4024/12/M/J/15

9 (a) Write 0.00000521 in standard form (b) Giving your answer in standard form, evaluate

O levels MATHEMATICS 4024/12/M/J/15

8 The Venn diagram shows the sets A, B and C List the elements of (a) A ∪ B, (b) B′ ∩ C

O levels MATHEMATICS 4024/12/M/J/15

7 y is inversely proportional to the square of x. Given that y = 24 when x = 2 , find y when x = 8 .

O levels MATHEMATICS 4024/12/M/J/15

6 By writing each number correct to one significant figure, estimate the value of

O levels MATHEMATICS 4024/12/M/J/15

6 By writing each number correct to one significant figure, estimate the value of

O levels MATHEMATICS 4024/12/M/J/15

5 Fariza travels from London to Astana. The time in Astana is 5 hours ahead of the time in London, so when it is 1000 in London the local time in Astana is 1500 .

O levels MATHEMATICS 4024/12/M/J/15

4 A bag contains red counters, blue counters and yellow counters. There are 60 counters in the bag. The probability that a counter taken at random from the bag is red is 2/5 .

O levels MATHEMATICS 4024/12/M/J/15

3 The diagram shows a trapezium with lengths in centimetres. The area of the trapezium is 120cm2. Find the value of b.

O levels MATHEMATICS 4024/12/M/J/15

2 Write these numbers in order of size, starting with the smallest.

O levels MATHEMATICS 4024/12/M/J/15

1 (a) Evaluate 1.3+2.9/0.2 (b) Evaluate

O levels MATHEMATICS 4024/12/M/J/15

30 What would reduce the volume of international trade in the world economy?

O levels ECONOMICS 2281/12/O/N/19

29 What would cause a rise in the deficit on the current account of the balance of payments?

O levels ECONOMICS 2281/12/O/N/19

28 What is a disadvantage of trade protection of manufactured goods?

O levels ECONOMICS 2281/12/O/N/19

27 What would cause a favourable change in the Kenyan trade in services (invisible) account?

O levels ECONOMICS 2281/12/O/N/19

26 The table shows the percentage share of GDP held by the richest 20% and poorest 20% of the population in each country. Which country had the greatest extremes of income and poverty?

O levels ECONOMICS 2281/12/O/N/19

25 In Botswana, better healthcare has meant that birth rates have been falling faster than death rates. Also the number of children born, on average, to each woman has declined from 6.4 to 3.2. What may be concluded from this information?

O levels ECONOMICS 2281/12/O/N/19

24 What is most likely to increase as a country becomes more developed?

O levels ECONOMICS 2281/12/O/N/19

23 Venezuela, a leading world oil producer, has experienced hyperinflation of over 400% per annum in recent years. How does hyperinflation affect an economy?

O levels ECONOMICS 2281/12/O/N/19

22 During periods of high unemployment across the entire labour force, the highest unemployment rate in an economy is often in the 16–19 year-old age group. Which statement explains why 16–19 year-olds may find it difficult to find a job?

O levels ECONOMICS 2281/12/O/N/19

21 Why was the Human Development Index (HDI) introduced as a measure of the standard of living?

O levels ECONOMICS 2281/12/O/N/19

20 Which increase is most likely to cause a rise in the output of an economy?

O levels ECONOMICS 2281/12/O/N/19

19 How would government spending on education be classified?

O levels ECONOMICS 2281/12/O/N/19

18 Which combination of policy measures would be effective in reducing the effects of a recession?

O levels ECONOMICS 2281/12/O/N/19

17 The government has an important role in mixed economies. Which function would it not perform?

O levels ECONOMICS 2281/12/O/N/19

16 Why are indirect taxes, such as VAT of 20% on goods and services, described as regressive when comparing high-income and low-income purchasers?

O levels ECONOMICS 2281/12/O/N/19

15 A firm producing bicycles has the following costs at different levels of output. What happens to the average total cost over this range of output?

O levels ECONOMICS 2281/12/O/N/19

14 The table shows the sales of cold drinks made by a company in the UK in 2016 and 2017. Demand for cold drinks is influenced by changes in the temperature. In 2016 the sales followed the usual seasonal pattern.

O levels ECONOMICS 2281/12/O/N/19

13 Which combination of characteristics correctly describes a monopoly?

O levels ECONOMICS 2281/12/O/N/19

12 Which type of business organisation is necessarily in the public sector of the economy?

O levels ECONOMICS 2281/12/O/N/19

11 A musician has a choice of playing for an orchestra in either Germany or England. Which combination of incomes and cost of living is most likely to cause her to choose the German orchestra?

O levels ECONOMICS 2281/12/O/N/19

10 The table shows how three people (X, Y and Z) spend their income. For these three people, what is the most likely order of income, from highest income to lowest income?

O levels ECONOMICS 2281/12/O/N/19

9 What is not normally a function of the central bank of a country?

O levels ECONOMICS 2281/12/O/N/19

8 What is a disadvantage of being a specialist skilled worker?

O levels ECONOMICS 2281/12/O/N/19

7 A railway company increases ticket prices by 10% for travel between 06:00 and 09:00, causing a reduction in demand by 2%.What is the price elasticity of demand in response to these price changes?

O levels ECONOMICS 2281/12/O/N/19

6 What can cause the supply curve for a product to shift to the right?

O levels ECONOMICS 2281/12/O/N/19

5 What suggests that there is market failure?

O levels ECONOMICS 2281/12/O/N/19

4 Which pair of economic institutions can be found in a market economy?

O levels ECONOMICS 2281/12/O/N/19

3 Sam wrote a list of how he would prefer to spend his Saturday afternoon. What was the opportunity cost of going to the cinema?

O levels ECONOMICS 2281/12/O/N/19

2 The diagram shows two production possibility curves. Which statement about the movement from point X to point Y is correct?

O levels ECONOMICS 2281/12/O/N/19

1 Which statement about factors of production is correct?

O levels ECONOMICS 2281/12/O/N/19

7 In 2016, France had a trade in services deficit. France is a rich, developed country with a high standard of living.(a) Define a trade in services deficit. [2] (b) Explain two population problems a rich, developed country may experience. [4]

O levels ECONOMICS 2281/23/O/N/19

6 It has recently been revealed that a king works as a part-time pilot for a multinational airline. (a) Define wages. [2] (b) Explain why the opportunity cost of becoming a teacher for one worker may be greater than for another worker.

O levels ECONOMICS 2281/23/O/N/19

5 Angola is an African country without a stock exchange. In contrast, South Africa has the most active stock exchange in Africa.(a) Define saving. [2] (b) Explain two benefits a country can gain from having a stock exchange. [4]

O levels ECONOMICS 2281/23/O/N/19

4 Australia’s economic growth rate has fallen in recent years. Its Human Development Index (HDI), however, is high and in 2016, (a) Identify the difference between economic growth and recession. [2] (b) Explain how the HDI compares living standards betwee

O levels ECONOMICS 2281/23/O/N/19

3 The food items people buy can be influenced by taxes, subsidies and health reports.(a) Identify the difference between a tax and a subsidy. [2] (b) Explain two reasons why demand for a product may be price-inelastic. [4]

O levels ECONOMICS 2281/23/O/N/19

2 Between 2007 and 2017, the average wage in China tripled, while it fell in Brazil. (a) Define tertiary sector and give an example of an industry operating in the tertiary sector. [2] (b) Explain two reasons why farm workers may be low-paid. [4]

O levels ECONOMICS 2281/23/O/N/19

1 A new capital for Zambia? Zambia is a middle-income country but one with 60% of its population of 15 million living below the poverty line. ) Identify, from the extract, two primary sector industries. [2] (b) Calculate, using information from the extrac

O levels ECONOMICS 2281/23/O/N/19

7 The price elasticity of demand (PED) for sugar in most countries is less than 1. In 2017, the price of sugar fell.(a) State the formula used to calculate PED. [2] (b) Explain two reasons why the price of sugar may fall.

O levels ECONOMICS 2281/22/M/J/19

6 In a mixed economic system, such as Portugal’s, the government intervenes in the economy. (a) Identify two reasons why market failure may occur. [2] (b) Explain how resources are allocated in a mixed economic system.

O levels ECONOMICS 2281/22/M/J/19

5 Moldova is Europe’s poorest economy with many of its people living in poverty. It is mainly an agricultural economy with many small farms. (a) Identify two supply-side policy measures. [2] (b) Explain two ways a government could reduce relative poverty.

O levels ECONOMICS 2281/22/M/J/19

4 In March 2017, Peru was hit by floods and the strongest winds in decades. Roads, bridges, houses and capital goods were destroyed.

O levels ECONOMICS 2281/22/M/J/19

3 There was a global surplus of steel in 2017. In mid-2017, the US government considered imposing tariffs on steel imports to protect its declining steel industry(a) Identify two methods of trade protection other than tariffs. [2] (b) Explain how market f

O levels ECONOMICS 2281/22/M/J/19

2 The markets for cars and tyres are closely related. The five largest tyre firms used to make 66% of all tyres.(a) Identify two types of business organisation that operate in the private sector. [2] (b) Explain what effect more firms producing tyres woul

O levels ECONOMICS 2281/22/M/J/19

1 Premium Friday At the start of February 2017, the Japanese government introduced its ‘Premium Friday’ scheme. (a) Identify, using information from the extract, two factors that influence an individual’s choice of occupation. [2] (b) Explain, using infor

O levels ECONOMICS 2281/22/M/J/19

30 A large amount of the agricultural products in a country were damaged by floods. What is likely to have happened to the price of agricultural products and the volume of imports of agricultural products?

O levels ECONOMICS 2281/12/M/J/19

29 What is the most likely disadvantage of international specialisation?

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28 The world demand for oil is price-inelastic and oil is paid for in US dollars. If the price of oil falls rapidly, how might it affect the exchange rate of the US dollar?

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27 The US government decides to reduce the size of the quota on a good it buys from China. What is likely to happen?

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26 In a country the birth rate increased but the population decreased. What could have happened to other factors to cause this?

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25 Given the following information, which country is most likely to have the highest standard of living?

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24 What usually happens as a developing country becomes more developed?

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23 In January 2016 the rate of inflation in a country changed from 3% to 2%. In March 2016 the rate of inflation was 4%. What happened to the price level in January and March?

O levels ECONOMICS 2281/12/M/J/19

22 What describes frictional unemployment?

O levels ECONOMICS 2281/12/M/J/19

21 Why is the Human Development Index (HDI) a better measure of living standards than GDP per head?

O levels ECONOMICS 2281/12/M/J/19

20 The table shows possible sequences between the rate of interest and other economic variables. Which sequence is the most likely?

O levels ECONOMICS 2281/12/M/J/19

19 Why might a government decide to subsidise a high-cost steel industry?

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18 The diagram shows the effect of the imposition of a tax on a product. Which area represents the part of the tax paid by consumers of the product?

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17 The government increases taxation in order to fund an increase in spending on government training schemes. Which policy combination would this involve?

O levels ECONOMICS 2281/12/M/J/19

16 What is most likely to cause a rise in the rate of inflation in an economy?

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15 An entrepreneur buys a workshop for $200 000 to make plastic boxes. What are his total variable costs?

O levels ECONOMICS 2281/12/M/J/19

14 The diagram shows the fixed costs, variable costs and total costs of a firm.

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13 What is the definition of diseconomies of scale?

O levels ECONOMICS 2281/12/M/J/19

12 What is the main difference between capital-intensive production and labour-intensive production?

O levels ECONOMICS 2281/12/M/J/19

11 The table shows the change in real incomes for a number of occupations between 1985 and 2015.

O levels ECONOMICS 2281/12/M/J/19

10 What is the most important factor that affects how much a family saves?

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9 In recent years some central banks have reduced interest rates below 1% per year. What is the purpose of this monetary policy?

O levels ECONOMICS 2281/12/M/J/19

8 Why does specialisation increase the productivity of employees?

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7 A mobile (cell) phone operator increases the price of making calls on its network. After the price increase, the revenue of the mobile phone operator falls by 10%. What is the price elasticity of demand (PED) for the mobile operator’s service?

O levels ECONOMICS 2281/12/M/J/19

6 What can be concluded from the demand curve for the product shown in the diagram?

O levels ECONOMICS 2281/12/M/J/19

5 An airline upgrades its services by providing bigger aircraft. The airline claims it will reduce catering waste and lower carbon (CO2) emissions per passenger journey although fares may rise. What is a private cost and an external benefit of this decisi

O levels ECONOMICS 2281/12/M/J/19

4 Cuba is implementing free market reforms. What is a likely advantage of this?

O levels ECONOMICS 2281/12/M/J/19

3 In recent years more golf courses, which use large quantities of water, have opened in China. What may be the opportunity cost of this?

O levels ECONOMICS 2281/12/M/J/19

2 The diagram shows a production possibility curve (PPC) for an economy that produces both capital goods and consumer goods.

O levels ECONOMICS 2281/12/M/J/19

1 A government wishes to increase agricultural output. It gives farmers the tools to irrigate the farmers’ fields. Which factors of production are provided by the farmers?

O levels ECONOMICS 2281/12/M/J/19

30 The table shows components of Japan’s current account balance in trillion Yen (¥) for 2011 and 2012.Which balance improved between 2011 and 2012?

O levels ECONOMICS 2281/12/M/J/20

29 What is a disadvantage of increased specialisation by a country?

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28 There has been an appreciation of the value of a country’s currency against other currencies. What effects will this have on prices of imports of raw materials and prices of exports of manufactured goods?

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27 Which protectionist measure would be most suitable for a government to use to support the growth in exports of an industry?

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26 Which changes usually result when a country develops and is able to provide free healthcare and good living conditions?

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25 Which country would be classified as the most developed based on the data in the table?

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24 Due to war, some people are living in absolute poverty. What is the main indicator of absolute poverty for these people?

O levels ECONOMICS 2281/12/M/J/20

23 The table gives information about three economic indicators in four countries.

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22 What would not be required in the construction of an index of consumer prices?

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21 The table shows figures for the real GDP of a country. A quarter is three months. During which quarters was the country experiencing a recession?

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20 Information about job vacancies on a government website has led to a decrease in short-term unemployment. What is the term for this type of unemployment?

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19 Why are governments responsible for the defence of the country?

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18 A government increased revenue by increasing taxes on firms. Which tax did it increase?

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17 When is the budget described as balanced?

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16 What is not included in public expenditure?

O levels ECONOMICS 2281/12/M/J/20

15 When do economies of scale take place?

O levels ECONOMICS 2281/12/M/J/20

14 Which statement proves there has been an increase in productivity for a factory making tractors?

O levels ECONOMICS 2281/12/M/J/20

13 The following information refers to a firm producing shoes. At which level of output does the firm maximise profits?

O levels ECONOMICS 2281/12/M/J/20

12 The table shows total fixed and total variable costs at different levels of output for a firm. What happens as output rises?

O levels ECONOMICS 2281/12/M/J/20

11 People’s income decreases. How is the proportion spent on food and leisure likely to change?

O levels ECONOMICS 2281/12/M/J/20

10 The graph shows women’s wages as a percentage of men’s wages in year 1 and year 2. Which statement is shown by the graph to be true?

O levels ECONOMICS 2281/12/M/J/20

9 What would most likely cause a person to increase their savings?

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8 Saudi Arabia specialises in oil extraction and refining. This is a capital-intensive industry with highly skilled labour. What might be a disadvantage of this specialisation?

O levels ECONOMICS 2281/12/M/J/20

7 The price of bread rose by 5% and the quantity demanded fell by 4%. What was the price elasticity of demand for bread?

O levels ECONOMICS 2281/12/M/J/20

6 The diagrams show the supply curve for an individual grower of tomatoes and for the total market supply of tomatoes.

O levels ECONOMICS 2281/12/M/J/20

5 What is a cause of market failure?

O levels ECONOMICS 2281/12/M/J/20

4 Microeconomics analyses choices in various situations. Which area of economic study does it not include?

O levels ECONOMICS 2281/12/M/J/20

3 A student decides to take up a two year apprenticeship for which she will earn $10000 per year. What is the opportunity cost in the two years of completing the apprenticeship?

O levels ECONOMICS 2281/12/M/J/20

2 The diagram shows a production possibility curve (PPC). Which of these points shows the largest possible output of product Y currently achievable?

O levels ECONOMICS 2281/22/M/J/20

1 In 2016, 20 billion barrels of oil and 1.6 billion barrels of natural gas were discovered in Texas, US. Which factor of production has increased in the US due to this discovery?

O levels ECONOMICS 2281/22/M/J/20

5 Mali is a low income and low productivity country in Africa. Its government is using fiscal policy to reduce poverty. (a) State two key questions about how resources are allocated. [2] (b) Explain two fiscal policy measures that can be used to reduce po

O levels ECONOMICS 2281/22/M/J/20

4 In 2017, the Japanese government announced improvements to its tax system. The amount of tax raised is influenced by the size and age distribution of a country’s population(a) State two qualities of a good tax. [2] (b) Explain two causes of a decrease i

O levels ECONOMICS 2281/22/M/J/20

3 A number of countries are withdrawing high value banknotes. For instance, Singapore plans to stop issuing its $10000 note. (a) State two functions of money, other than a store of value. [2] (b) Explain two advantages banknotes have as a form of money. [

O levels ECONOMICS 2281/22/M/J/20

2 The Indian government has declared that the country, now a major car producer, will sell only electric cars by 2030. (a) Define external costs. [2] (b) Explain two influences on whether demand for a product is price-elastic or price-inelastic. [4]

O levels ECONOMICS 2281/22/M/J/20

Source material: the challenges facing Pakistan1 (a) Calculate Pakistan’s trade in goods balance in 2017. [1] (b) Identify two possible causes of demand-pull inflation in Pakistan in 2017. [2] (c) Explain the opportunity cost to Pakistan of producing cons

O levels ECONOMICS 2281/22/M/J/20

30 The table shows the tariffs imposed on imported tropical fruit in the European Union (EU) according to the degree of processing.

O levels ECONOMICS 2281/12/O/N/18

29 A country has experienced a devaluation of its currency. What are the likely results of the devaluation?

O levels ECONOMICS 2281/12/O/N/18

28 What is most likely to happen if South Korea builds a factory in Switzerland that becomes profitable?

O levels ECONOMICS 2281/12/O/N/18

27 It is estimated that in 2016 the Olympic Games in Rio, Brazil attracted over 600 000 foreign visitors. What is likely to have been the result of this number of visitors?

O levels ECONOMICS 2281/12/O/N/18

26 Developing countries are sometimes given aid by charities and foreign governments. Which aid programme would be least likely to lead to long-term economic growth?

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25 Which change is most likely to be expected when an economy is developing?

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24 What will lead to an ageing population if other factors remain unchanged?

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23 A country experienced its usual August increase in the rate of unemployment. Unfortunately this was followed by the loss of jobs resulting from the regular downturn in global economic activity. Which types of unemployment occurred?

O levels ECONOMICS 2281/12/O/N/18

22 The diagram shows the rate of unemployment and the periods of recession in a country between 1978 and 2012. What can be concluded from the diagram?

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21 Four groups who are affected by changing economic conditions are creditors, debtors, exporters and importers. Which pair is most likely to be disadvantaged by a high rate of inflation?

O levels ECONOMICS 2281/12/O/N/18

20 Economic growth is usually measured by the annual change in

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19 In which case is success for the government in achieving the first aim likely to cause problems in achieving the second?

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18 The table shows the amount of tax paid as income rises in four countries, A–D. Which country has a progressive tax?

O levels ECONOMICS 2281/12/O/N/18

17 When is a government said to balance its budget?

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16 A government aims to reduce unemployment through a supply-side policy measure. Which measure would it use?

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15 Which statement about total fixed cost is correct?

O levels ECONOMICS 2281/12/O/N/18

14 The table shows a firm’s average revenue and average cost at different levels of output. When all output is sold, which level of output gives maximum profit?

O levels ECONOMICS 2281/12/O/N/18

13 A film production company purchases a group of cinemas. Of what is this an example?

O levels ECONOMICS 2281/12/O/N/18

12 What is correct for firms in perfect competition?

O levels ECONOMICS 2281/12/O/N/18

11 Petrol (fuel) retailers in a country have noticed a sharp increase in sales in August when many people take their holidays. Why might this take place?

O levels ECONOMICS 2281/12/O/N/18

10 What could affect the size of the labour force in an economy?

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9 What will cause the level of savings in an economy to rise?

O levels ECONOMICS 2281/12/O/N/18

8 A central bank acts as a lender of last resort especially in times of financial crisis. What is the purpose of this function?

O levels ECONOMICS 2281/12/O/N/18

7 The table shows the demand and supply for spices in a market in Africa. When the price rises from US$20 to US$30 per kg, what is the price elasticity of demand (PED) for spices?

O levels ECONOMICS 2281/12/O/N/18

6 Coal production in the UK has declined in recent years. One reason given for this is that the social cost of coal production is too high. What best describes the social cost of coal production?

O levels ECONOMICS 2281/12/O/N/18

5 The diagram shows the market for a firm making clothing with an initial equilibrium of X. What will be the new equilibrium if there is a successful advertising campaign by a rival firm and an increase in workers’ wages?

O levels ECONOMICS 2281/12/O/N/18

4 China, the world’s second largest economy, is becoming more like a market economy. Which policy would contribute directly to such a change?

O levels ECONOMICS 2281/12/O/N/18

3 The diagram shows a country’s production possibility curve (PPC). Which statement is correct?

O levels ECONOMICS 2281/12/O/N/18

2 What do economies aim to achieve in tackling the economic problem of scarcity?

O levels ECONOMICS 2281/12/O/N/18

1 Which factor of production is not represented in the list shown?

O levels ECONOMICS 2281/12/O/N/18

7 The price of gold rose in 2016. This encouraged owners of gold mines to employ more resources to increase the supply of gold(a) Identify two factors of production involved in mining gold. [2] (b) Explain two reasons why a government may impose a tariff

O levels ECONOMICS 2281/22/O/N/18

6 A relatively high proportion of people from the Philippines either work in call centres or abroad. (a) Define Gross Domestic Product (GDP). [2] (b) Explain two reasons why a person may be willing to work at night.

O levels ECONOMICS 2281/22/O/N/18

5 Productivity has fallen recently in Finland particularly in the public sector. The country has a relatively high number of small firms(a) What is the difference between the private sector and the public sector? [2] (b) Explain two reasons why productivi

O levels ECONOMICS 2281/22/O/N/18

4 UK students often take jobs during their holidays and some save part of their income to pay their tuition fees.(a) Define earnings. [2] (b) Explain two non-wage factors that influence an individual’s choice of occupation. [4]

O levels ECONOMICS 2281/22/O/N/18

3 In 2016, the Indonesian government increased its spending on healthcare and education and considered raising the school leaving age. (a) Identify two types of tax. [2] (b) Explain two benefits to a government from a fall in unemployment.

O levels ECONOMICS 2281/22/O/N/18

2 Mexico has recently experienced relatively low inflation and the Mexican government wants to maintain this price stability.(a) Define private cost. [2] (b) Explain two ways a government could reduce external costs.

O levels ECONOMICS 2281/22/O/N/18

1 Rubber production in Liberia Liberia is a west African country that has faced a number of serious problems in recent years. These have included a civil war and in 2014 the outbreak of the Ebola epidemic

O levels ECONOMICS 2281/22/O/N/18

7 World output has grown in recent years, but a number of countries have experienced a recession. (a) Define import tariff. [2] (b) Explain two benefits of an increase in world output. [4] (c) Analyse how a recession may reduce a country’s imports.

O levels ECONOMICS 2281/22/M/J/18

6 In February 2016, share prices on stock exchanges fell throughout the world(a) Define commercial bank. [2] (b) Explain how a stock exchange could encourage economic growth.

O levels ECONOMICS 2281/22/M/J/18

5 In October 2015, the Chinese government switched from its one child policy to a two child policy partly because of the challenges caused by an ageing population. (a) Identify two causes of an ageing population. [2] (b) Explain why the price of housing m

O levels ECONOMICS 2281/22/M/J/18

4 In the UK, bus journeys outside London have fallen by nearly 40% since 1980. (a) Define a substitute and give an example. [2] (b) Explain two advantages a firm may gain from being a monopoly.

O levels ECONOMICS 2281/22/M/J/18

3 Farms in the USA are getting larger. One dairy farm in the state of Indiana has over 38000 cows.

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2 Swaziland is a small African country where six in ten people live in poverty and most firms are small and use little capital equipment. In October 2015 it opened a new airport.

O levels ECONOMICS 2281/22/M/J/18

1 Crisis in the ice cream market Vanilla is used in the production of soft drinks, cakes and perfumes. Its main use, however, is in the production of ice cream. Fig. 1 shows the different costs of making ice cream for one firm.

O levels ECONOMICS 2281/22/M/J/18

30 The table shows the rice yield in four countries. What may be concluded from this information?

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29 In 2015, the value of the South African currency (the rand) depreciated against the US dollar. What effect did this have on the US economy?

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28 In 2012 the UK held the Olympic Games, which attracted a large number of visitors from foreign countries. Which item of the UK’s current account balance will have benefited directly from this event?

O levels ECONOMICS 2281/12/M/J/18

27 A country wishes to follow a policy of trade protection. Which action would it take?

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26 The government of a developing country allows a multinational mining company to mine minerals in order to improve the standard of living of the local people. Which action by the multinational company (MNC) will not lead to an improvement in the standar

O levels ECONOMICS 2281/12/M/J/18

25 Over two-thirds of the world’s poorest people live in rural areas. They are mainly involved in subsistence agriculture. What explains why poverty remains at a high level for subsistence farming families?

O levels ECONOMICS 2281/12/M/J/18

24 Which feature is found in a developed country rather than a developing country?

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23 The table shows units of output, value of output and number of people employed in an industry over three years.

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22 There was a fall in investment spending by businesses in the third quarter of 2015. What would be the likely result of this?

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21 What determines the weights in the consumer prices index (CPI)?

O levels ECONOMICS 2281/12/M/J/18

20 The table shows the change in Gross Domestic Product (GDP) of four countries. Which country has experienced a recession?

O levels ECONOMICS 2281/12/M/J/18

19 Which situation involving the building industry is most likely to be investigated by a government body set up to control restrictive practices?

O levels ECONOMICS 2281/12/M/J/18

18 A government has the following revenue. What is the total amount of indirect tax revenue?

O levels ECONOMICS 2281/12/M/J/18

17 What is an aim of government policy?

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16 Which is a supply-side policy?

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15 Which statement about fixed costs is correct?

O levels ECONOMICS 2281/12/M/J/18

14 A firm that sells its product for $6 a unit has the following total costs. Which statement is correct?

O levels ECONOMICS 2281/12/M/J/18

13 What is a possible cause of diseconomies of scale?

O levels ECONOMICS 2281/12/M/J/18

12 What is a characteristic of a perfectly competitive firm?

O levels ECONOMICS 2281/12/M/J/18

11 The table shows some information for a computer engineer in 2015.

O levels ECONOMICS 2281/12/M/J/18

10 What is most likely to help a trade union’s claim for wage increases in an industry?

O levels ECONOMICS 2281/12/M/J/18

9 What will be likely to increase the wages of airline pilots?

O levels ECONOMICS 2281/12/M/J/18

8 What does a commercial bank not provide?

O levels ECONOMICS 2281/12/M/J/18

7 The diagram shows the supply curve for a good. What is the price elasticity of supply when the price rises from $2 to $4?

O levels ECONOMICS 2281/12/M/J/18

6 The table shows government estimates of the private and external benefits and costs of building a new dam.

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5 The diagram shows the market for beef in the US with the original equilibrium at X. What will be the new equilibrium position if incomes in the US rise?

O levels ECONOMICS 2281/12/M/J/18

4 What is a major advantage of a market economic system over a mixed economic system?

O levels ECONOMICS 2281/12/M/J/18

3 The diagram shows a production possibility curve (PPC). Which position is most likely to lead to the greatest outward shift of the PPC?

O levels ECONOMICS 2281/12/M/J/18

2 What would be classified as the factor of production capital for an airline?

O levels ECONOMICS 2281/12/M/J/18

1 In economics, natural sunlight is classified as a free good. What is the reason for this?

O levels ECONOMICS 2281/12/M/J/18

7 The Gulf countries, some of which are quite specialised, import a high proportion of the food their inhabitants eat. (a) Define ‘specialisation’. [2] (b) Explain two disadvantages that workers may experience from specialising. [4]

O levels ECONOMICS 2281/22/O/N/17

6 Moldova has a population of 3.5 million. It is one of the poorest countries in Europe, with relatively low living standards(a) Identify two influences on the size of a country’s population. [2] (b) Explain two causes of an increase in living standards.

O levels ECONOMICS 2281/22/O/N/17

5 Nauru is one of the smallest countries in the world with a population of only 10000. Fifty years ago the population was one of the richest per head in the world,

O levels ECONOMICS 2281/22/O/N/17

4 In Pakistan there is a limited choice of cars to buy. The country has a population of approximately 190 million but only about 120000 cars a year are produced there.

O levels ECONOMICS 2281/22/O/N/17

3 Rich people in some countries are now working for more hours on average than poor people. (a) What is a possible opportunity cost of working? [2] (b) Explain two reasons why older workers tend to earn more than younger workers.

O levels ECONOMICS 2281/22/O/N/17

2 Singapore is usually ranked as one of the best countries in which to do business.(a) Define ‘average costs’. [2] (b) Explain two factors that would increase the supply of entrepreneurs in an economy

O levels ECONOMICS 2281/22/O/N/17

1 From inflation to deflation For some time, many central banks have tried to achieve a target inflation rate of about 2%. A small and steady rise in the price level can bring a number of benefits to an economy

O levels ECONOMICS 2281/22/O/N/17

30 The table shows the number of units of foreign currency that the UK pound (UK£) could buy in August 2012 and August 2013.

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29 It was reported in 2011 that the United States (US) needed to achieve a lower current account deficit. What would help this in the short run?

O levels ECONOMICS 2281/12/O/N/17

28 Which name is given to the external value of a currency in terms of another currency?

O levels ECONOMICS 2281/12/O/N/17

27 What is a benefit of tariffs?

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26 At the start of the year a developing country had a population of 1 000000, its birth rate was 16.0 per thousand per annum and its death rate was 8.0 per thousand per annum. At the end of the year the population was 1 005 000. What could explain this c

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25 The charts show the population structure of a country in 1960 and 2015. What decreased between 1960 and 2015?

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24 What is most likely to cause an increase in the population growth of a developing country?

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23 What would be a cause of cost-push inflationary pressure in an industry which supplies mobile (cell) phones?

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22 The diagrams show percentage employment in different sectors in two countries.

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21 A finance minister reported that the economy was experiencing inflation and economic growth. What would be evidence that both of these had occurred?

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20 Why is the Human Development Index (HDI) often considered to be better than Gross Domestic Product (GDP) per head as a measure of living standards?

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19 A worker earns $40 000 a year and pays 20% income tax. He spends $5000 on electrical goods and $10 000 on a car, and pays 20% sales tax on each. How much indirect tax does he pay?

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18 The graph shows the percentage of income paid in taxation. Which line represents a proportional tax?

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17 The government introduces a new tax. It adds $1 to the price of every $10 good and $2 to the price of every $20 good. What can be concluded about the nature of this tax?

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16 What, when increased, will help a government to reduce the rate of inflation?

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15 The table shows the variable costs of a firm. It can sell the units for $5 each. Its fixed costs are $10. How many units will the firm produce to maximise profits?

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14 A major computer company announced that its profits had fallen below the level predicted. What might have caused this?

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13 What distinguishes a multinational company from other types of company?

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12 Which is an internal diseconomy of scale?

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11 The diagram shows two curves. One is the demand for labour, the other is the supply of labour. A government fixes a minimum wage (MW) that must be paid by employers.

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10 Although there are higher paid jobs in offices many workers stay in low-paid jobs on farms. What might explain this in developing economies?

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9 Which change will make a manufacturing company replace machines with labour to maintain the most efficient combination of factors of production?

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8 What is likely to decrease the level of saving in an economy?

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7 It was reported that the supply of oil would be affected by the discovery of new oil fields and demand would be affected by rapid global economic growth. If point X is the initial equilibrium point, which point could represent the new equilibrium?

O levels ECONOMICS 2281/12/O/N/17

6 The table illustrates the demand and supply for coffee in a market in Africa. When the price rises from $20 to $30 per kg, what is the price elasticity of demand for coffee?

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5 Which of the effects of economic development is an external cost?

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4 What is the government most likely to produce in a mixed economy?

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3 The diagram shows a production possibility curve. The country is using all its resources to produce both manufactured goods and services. What movement would represent an improvement of technology in manufacturing?

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2 A government allowed a building company to construct new houses which destroyed an area designated as an area of natural beauty. Which concepts can be applied to this statement?

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1 Economists refer to factors of production. Which is not a factor of production?

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7 Spain has had one of the highest unemployment rates in Europe. Moreover, 3.5 million of those unemployed had been out of work for at least a year by 2015. (a) Identify two problems that prevent a worker finding employment. [2] (b) Explain two costs of l

O levels ECONOMICS 2281/22/M/J/17

6 In 2015 the world saw many changes in demand and advances in technology (a) What is sold on a stock exchange? [2] (b) Explain how money helps specialisation and trade to occur. [4] (c) Analyse how advances in technology can affect demand and supply.

O levels ECONOMICS 2281/22/M/J/17

5 Between 2009 and 2014, Delaware was the only US state to experience a fall in earnings. (a) Define a ‘trade union’. [2] (b) Explain two possible causes of a fall in a worker’s earnings

O levels ECONOMICS 2281/22/M/J/17

4 More people are becoming billionaires at the same time that other people are living in poverty. a) What is meant by ‘redistribution of income’? [2] (b) Explain two reasons why the rich spend more in total than the poor.

O levels ECONOMICS 2281/22/M/J/17

3 In 2015 some German commercial banks reduced their already very low interest rates on deposit accounts(a) Identify two ways a commercial bank differs from a central bank. [2] (b) Explain the connection between opportunity cost and the purchase of shares

O levels ECONOMICS 2281/22/M/J/17

2 Indonesia’s output is influenced by its factors of production. A production possibility curve diagram can be used to show this relationship between resources and output.(a) Identify the two human factors of production. [2] (b) Explain two economic conce

O levels ECONOMICS 2281/22/M/J/17

1 Mining diamonds in Botswana Botswana is the world’s largest producer of diamonds. Indeed, in 2015 diamonds accounted for a third of the country’s Gross Domestic Product (GDP) of US$18 billion and for 80% of the country’s exports.

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30 In 2010, Vietnam experienced a deficit in the value of its trade in goods (visible) despite exporting a greater number of goods than it imported. What could explain this?

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29 In 2015, Russia banned the imports of food, such as milk, from the European Union (EU). Which outcomes are most likely to happen as a result?

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28 What might encourage international specialisation between countries?

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27 Which government policy is most likely to increase the volume of exports?

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26 The table shows information about four countries. Which country is likely to be least developed?

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25 The diagram shows population projections until the year 2075 for selected areas. Assuming no migration, which situation must exist if the population is to change in the manner shown in the diagram?

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24 Which statement about the poorest families in developing economies is not likely to be correct?

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23 What is the change in GDP per head, after taking account of price increases (real change), between 2000 and 2013?

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22 The information below refers to an economy for a financial year. government expenditure = $2866 million government revenue = $1940 million What was the budget balance of the government in that year?

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21 What is meant by deflation?

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20 A newspaper reported that a country’s economy had grown by 3% during the last year. What must have increased in that year?

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19 Which policy combination will be the most effective if a government wishes to increase the level of employment?

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18 In trying to achieve one of its aims a government may make it difficult to achieve another aim. What is an example of this conflict?

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17 A government wishes to try to make the distribution of income in the country more equal. Which policy would be most likely to achieve this?

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16 When is a tax progressive?

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15 The table shows the costs of a firm. What is the value of the firm’s fixed costs?

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14 A monopoly takes over an industry from competitive firms. What is not likely to be true about a monopoly compared with a competitive firm?

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13 Which costs will necessarily fall continuously as output increases?

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12 To achieve horizontal integration, a firm producing tyres could merge with another firm producing

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11 In South Africa, the number of skilled workers is relatively low. However, average wages in South Africa are double the average wage in Brazil and Turkey and they are 1.6 times higher than in Malaysia. What may be concluded from this information?

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10 The government increases the rate of income tax and decreases the rate of a sales tax (VAT). From the initial equilibrium point of X, which letter indicates the new equilibrium point in a market for normal goods?

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9 What is most likely to be used to support a claim for wage increases in an industry?

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8 Which statement about financial matters is correct?

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7 In 2015 there was a significant fall in the world price of petrol (gasoline). What would not have been a cause of the price fall?

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6 A bee-keeper maintains hives of bees to produce honey. The bees can pollinate neighbours’ fruit trees but also give a painful sting to gardeners. If both of these events occur, how will costs and benefits be affected?

O levels ECONOMICS 2281/12/M/J/17

5 The diagram shows the demand for chocolate. What could cause the movement from point X to point Y?

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4 In response to an increase in price from $5 per kilo to $6 per kilo a chicken farmer increased supply from 400 kilos to 500 kilos per week. What is the price elasticity of supply?

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3 The diagram shows a production possibility curve for cars and furniture.

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2 Heavy rain caused floods in an area of a country. What may be an opportunity cost of repairing the damage caused?

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1 Which is not a factor of production?

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7 Tax revenue from both direct and indirect taxes in Germany rose to US$860 billion in 20137 Tax rev(a) Define ‘a progressive tax’. [2] (b) Explain the difference between direct and indirect taxes.enue from both direct and indirect taxes in Germany rose t

O levels ECONOMICS 2281/22/O/N/16

6 The largest Indonesian aviation firm is a public corporation that started production in 1976.(a) Identify who owns a public corporation and who owns a public limited company. [2] (b) Explain why fixed costs are high in the aircraft-making industry.

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5 The unemployment rate in Wales fell from 8.2% in March 2013 to 6.8% in March 2014. (a) Define ‘unemployment’. [2] (b) Explain two benefits that a firm may gain from producing in another country

O levels ECONOMICS 2281/22/O/N/16

4 Household debt in South Korea in 2014 was reaching record levels. People were borrowing more and saving less

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3 In recent years productivity growth has been low in Brazil, which has kept average costs relatively high(a) Define ‘productivity’. [2] (b) Explain the difference between average fixed cost and average variable cost

O levels ECONOMICS 2281/22/O/N/16

2 There are a number of competing producers of jeans. These firms are now also facing competition from new sportswear designed to also be worn as leisurewear

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1 The Mints Mexico, Indonesia, Nigeria and Turkey, known as the Mints, are four emerging economies that are predicted to grow rapidly(a) Using information from the extract, explain how the Mints illustrate the economic problem. [2] (b) Calculate how many

O levels ECONOMICS 2281/22/O/N/16

30 The table shows components of Japan’s current account balance in trillion Yen for 2011 and 2012.

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29 A government removed the quota on goods imported into the country. What is the most likely result of this?

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28 A Japanese car manufacturer decided to produce its cars in a factory in Europe. What would not be a reason why they might have chosen to do this?

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27 What encourages international specialisation?

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26 The chart shows total world carbon emissions in 1995 and predicted emissions by 2035.

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25 A government introduces state benefits for the unemployed and increases the top rate of income tax to pay for the benefits. What effect will these changes have on poverty and the tax system?

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24 Which outcome is least likely to be found with greater economic development?

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23 Some goods take a greater percentage of a typical household’s total spending than others. How is this accounted for in the construction of a Retail Price Index?

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22 In 2010 there was an increase in net emigration from Ireland. What is most likely to have caused this increase?

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21 Why is nominal Gross Domestic Product not a good measure to compare the standard of living in a country between two years?

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20 What is involved in the construction of a Retail Price Index?

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19 A government gives farmers a subsidy of $5 per kilo to supply food on the open market where X is the original equilibrium position.

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18 The table shows taxes as a percentage of Gross Domestic Product (GDP) for four countries. From this information, which country had the highest percentage of direct taxation as a percentage of GDP?

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17 In 2015, 70000 extra people lost their jobs but total employment rose by 75 000. What could explain this?

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16 A government decides to sell the monopoly supply of gas to households to a private firm. How could the government protect the interests of households after selling a large company to the private secto

O levels ECONOMICS 2281/12/O/N/16

15 The table shows the growth rate of output (%) in four sectors of an economy.

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14 A firm has fixed costs of $200 for its daily output. The table shows its daily total variable costs.

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13 Some agricultural co-operatives have changed from labour-intensive to capital-intensive methods of production. What might be a cause of this change?

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12 A survey of managers in the USA revealed that most businessmen feel that a company’s responsibility is ‘to serve the interests of owners, employees, customers and the public’.

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11 The table shows how household spending changes with income. What is the first level of income shown at which savings are positive?

O levels ECONOMICS 2281/12/O/N/16

10 Nazmin Uddin works in a local office as a secretary three days a week. She lives with her parents in a small apartment. Meer Ali owns a successful fitness centre that employs about twenty people. He owns a large house. Which is most likely to be correc

O levels ECONOMICS 2281/12/O/N/16

9 What shows the correct examples of income and wealth?

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8 What might be a disadvantage to a trade union when arguing for an increase in its members’ pay?

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7 What indicates the existence of external costs in an economy?

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6 A government subsidises the production of pineapples. This is likely to

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5 A demand curve shows the relationship between the quantity demanded and

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4 The market for a good was in equilibrium. A change occurred which resulted in a new equilibrium with a higher price for the good and a lower quantity traded. What change would have caused this?

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3 The diagram shows a production possibility curve for maize and cotton.

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2 What could be the opportunity cost of a nuclear power station?

O levels ECONOMICS 2281/12/O/N/16

1 Each factor of production earns an income. What correctly identifies the income for labour and capital?

O levels ECONOMICS 2281/12/O/N/16

7 Myanmar (Burma) is seeking to move from being a developing to a developed country. It has a lower savings ratio than most other Asian economies, with its people spending most of their income

O levels ECONOMICS 2281/22/O/N/15

6 Capital goods make up over half of Japanese exports. In 2013, although Japan’s imports rose more rapidly than its exports

O levels ECONOMICS 2281/22/O/N/15

5 In 2009, a digital currency called Bitcoin was invented. Between 2009 and 2014 there was a growth in the number of people and firms accepting it as a medium of exchange and store of value(a) Define ‘medium of exchange’. [2] (b) Explain two ways in whic

O levels ECONOMICS 2281/22/O/N/15

4 On average, Norwegians work only 27 hours a week. They also take more, and longer, holidays than most other countries’ workers.(a) Define ‘productivity’. [2] (b) Explain two reasons why productivity may increase.

O levels ECONOMICS 2281/22/O/N/15

3 A heatwave in July 2013 in the United Kingdom resulted in sales of ice cream more than doubling. (a) Define ‘supply’. [2] (b) Explain two ways a government could influence the price of a product.

O levels ECONOMICS 2281/22/O/N/15

2 The United Nations’ World Tourism Organisation has estimated that the proportion of the world’s population who have visited another country will have reached only 7% by 2020. (a) Define ‘resources’. [2] (b) Explain how international travel may create e

O levels ECONOMICS 2281/22/O/N/15

1 Mexico: rising to the top? It has been predicted that Mexico will be one of the world’s top ten economies by 2020. Changes in the industrial structure of the country have been occurring for some time(a) Using information from the extract, calculate what

O levels ECONOMICS 2281/22/O/N/15

30 Turkey’s agricultural sector employs 48% of the country’s workforce, compared with 17% in the United States (US) and 3.9% in France. What could be concluded from this?

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29 What is most likely to encourage international specialisation?

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28 A country imposes tariffs and quotas on imported goods. What will citizens of that country experience?

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27 The diagram shows China’s trade with Brazil for 1999 and 2003 in billions of dollars. With reference to the diagram, what happened to China’s trade balance with Brazil between 1999 and 2003?

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26 According to the United Nations, the share of world population living in developing countries will increase from 83% in 2003 to 88% in 2050. What is likely to be the major cause of this predicted change?

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25 The richest 60% of the population in a developed economy received an increase in income. Which row is correct as a result of this increase?

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24 Why might real GDP per head not be a good indicator of the standard of living in developing countries?

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23 Which item does the Human Development Index (HDI) of a country include, in addition to real GDP per head and life expectancy at birth?

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22 In 2009, a country had an inflation rate of 2%. The table shows the inflation rate in the following years. In which year did deflation start?

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21 The proportion of workers employed varies between different industries and between developing and developed economies. Which combination in the table is likely to have the highest percentage of workers employed?

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20 The forecast for Germany’s GDP growth in 2013 was 1.5%. What might cause economic growth?

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19 A government decided to increase its spending on building schools and hospitals. Which aim of government policy is most likely to be achieved by this increase?

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18 A government wishes to close the gap between the earnings of the rich and the poor. What should it do to achieve this aim?

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17 Which statement about the meaning of government economic aims is correct?

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16 What is most likely to be the responsibility of a government?

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15 The table shows the information that managers of a company have from a week of business activity.

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14 A company supplying water spent $470 million creating a network of pipes to distribute water more efficientlyWhat cannot be concluded from the above?

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13 What must be falling if a firm is experiencing economies of scale?

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12 What characteristics are found in a monopoly?

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11 The wage rate of a worker is reduced. Which combination of characteristics of the job is most likely to cause the worker to stay in the job?

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10 A national trade union wishes to increase the wages of its members without reducing the numbers employed. Which factor would help the union to do this? A The demand for the industry’s product is high.

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9 How do high direct taxes affect spending and how do high interest rates affect saving by wageearners?

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8 A developer built some large houses in a rural area which poorer people could not afford. The houses destroyed an area of natural beauty. What type of market failure resulted from the development?

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7 Air travel and rail travel are substitute forms of transport. The diagram shows the effect of new technology on the market for air travel.

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6 In August 2013, a lengthy strike in north-east India, where the finest and most expensive Darjeeling tea is grown, shut down the tea industry at harvest time.

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5 What is meant by an equilibrium price?

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4 A person works at home making table cloths. He works for 6 hours each day and makes 15 table cloths an hour. He sells them for $10 each. He then decides to work for only 4 hours each day. What can be concluded from the above information?

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3 The diagram shows a production possibility curve for an economy that can produce rice or electronic equipment. At which point will the economy be in the diagram?

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2 The government of a prosperous country announced that it would offer free food to its citizens for a year. What would be the effect of this measure?

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1 In a rural community of Southern Africa, women were responsible for planting and weeding crops by hand, while men used to control production and receive profits. Which combination of factors of production was in operation?

O levels ECONOMICS 2281/12/O/N/15

7 The Mexican economy has recently been performing well(a) Define ‘monetary policy’. [2] (b) Explain two functions of money.

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6 Poland is experiencing changes to its population and economy. (a) Define ‘death rate’. [2] (b) Explain two causes of a fall in a country’s death rate.

O levels ECONOMICS 2281/22/M/J/15

5 Both the annual inflation rate and the economic growth rate fell in Pakistan between 2012 and 2013(a) Define ‘unemployment’. [2] (b) Explain two causes of economic growth.

O levels ECONOMICS 2281/22/M/J/15

4 Chile produces a third of the world’s supply of copper. A change in demand for(a) Define ‘Gross Domestic Product’. [2] (b) Explain two benefits of an increase in Gross Domestic Product.

O levels ECONOMICS 2281/22/M/J/15

3 China is the world’s largest producer of gold and India is the world’s largest buyer of gold. (a) What is meant by an industry being ‘capital-intensive’? [2] (b) Explain two reasons why the supply of a product may be price inelastic.

O levels ECONOMICS 2281/22/M/J/15

2 Students have to consider the opportunity cost of going to university. University graduates usually earn more than people who have not gone to university(a) Describe a possible opportunity cost of a student going to university.

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1 Peru and Panama Between 2005 and 2012, Peru and Panama experienced the fastest economic growth rates in the Americas. The two countries differ in the size of their populations and the size of their economies.

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15 The diagram shows the costs of a firm.

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30 The table shows the trade in goods balance and the current account balance of the balance of payments for four countries during a year. Which country had the largest surplus on its trade in services, assuming no other transfers or income flows?

O levels ECONOMICS 2281/12/M/J/15

29 The table shows information on the trading position of four major economies in 2013. Which country had the strongest trading position?

O levels ECONOMICS 2281/12/M/J/15

28 What is an advantage of international specialisation?

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27 Which combination of changes is most likely to result in a fall in living standards in a country?

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26 The charts show the population structure of a country in 1960 and 2010. During this period, how did birth and death rates change?

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25 Which feature is not a typical characteristic of a developed country?

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24 In 2013, subsistence farming, which involved a large percentage of the population, was a significant activity in the Philippines and Indonesia. What can be concluded about the Philippines and Indonesia from this information?

O levels ECONOMICS 2281/12/M/J/15

23 When would an increase in aggregate demand be least likely to result in inflation in an economy?

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22 The table shows some economic indicators for four countries. What can be concluded from the table?

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21 The Human Development Index (HDI) measures more than just average incomes. What are two additional measures it includes?

O levels ECONOMICS 2281/12/M/J/15

20 Who is most likely to benefit during a period of inflation?

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19 A government increases expenditure on infrastructure to stimulate an economy. With which of the other government aims for an economy might this conflict?

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18 Russia exports wheat. In 2010, a bad harvest led the Russian government to prevent the export of wheat, to ensure enough supplies were kept for domestic use. What was the most likely outcome of the government’s action?

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17 In recent years, governments have had to manage the effects of a world recession. Which supply-side policy could have been used to stimulate economic growth?

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16 What is most likely to cause a fall in the rate of inflation?

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14 In 2013, Barclays Bank had two branches in a city. It decided to close them both, move to a different building and employ fewer hourly-paid staff. What is likely to have happened to the bank’s fixed and variable costs?

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13 What is not a reason for the decline in manufacturing industries in developed economies in recent years?

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12 What may exist in monopoly but not in perfect competition?

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11 In choosing their occupation, people often take into account aspects of the job other than pay. Which would not be a good match for the aspects of employment a worker is looking for?

O levels ECONOMICS 2281/12/M/J/15

10 A trade union and employers agree a minimum wage (W1) which is above the market equilibrium wage (W) for that industry. What is the effect of paying the minimum wage (W1)?

O levels ECONOMICS 2281/12/M/J/15

9 A businesswoman seeks a 10-year loan from a bank. She has listed her four most valuable possessions which could be offered to the bank in order to obtain the loan. Which item would the bank be least likely to accept as security for the loan?

O levels ECONOMICS 2281/12/M/J/15

8 A large supermarket applied to build on land which was in an area of natural beauty. The local government allowed the building, even though the natural beauty of the area would be lost, because many jobs would be created and much needed income would be

O levels ECONOMICS 2281/12/M/J/15

7 The diagram shows the market for fresh fish in the Caribbean with equilibrium point X. A new type of fishing boat increases production, which reduces costs. Which point represents the new equilibrium?

O levels ECONOMICS 2281/12/M/J/15

6 A product has a price elasticity of supply of +2. A change in price causes the quantity supplied to change from 100 units to 120 units. What is the price change?

O levels ECONOMICS 2281/12/M/J/15

5 What would not be an example of the working of a market system?

O levels ECONOMICS 2281/12/M/J/15

4 A person makes sandwiches at home for five hours each day. She makes 20 sandwiches per hour, and she sells each sandwich for $2 each. What is the opportunity cost if she takes a holiday on a working day?

O levels ECONOMICS 2281/12/M/J/15

3 The diagram shows production possibility curves (PPC) for a country that can produce agricultural products or manufactured products. Its current PPC passes through points Q and S but the country is currently experiencing unemployment.

O levels ECONOMICS 2281/12/M/J/15

2 New oil reserves are discovered. What has increased in supply?

O levels ECONOMICS 2281/12/M/J/15

1 What is the basic economic problem?

O levels ECONOMICS 2281/12/M/J/15

5 The directors of JKY Limited provided the following information. For the year to 30 April 2020:REQUIRED (b) Explain the effects of the change in: (i) inventory turnover(ii) trade receivables turnover (days)

O levels ACCOUNTING 7707/22/M/J/20

4 Nadia is a trader. Her financial year ends on 31 March. She extracted a trial balance at 31 March 2020. The debit and credit totals did not agree. The difference was entered into a suspense account.REQUIRED (a) Prepare the suspense account. Include the

O levels ACCOUNTING 7707/22/M/J/20

3 Gok is a wholesaler. He prepares his financial statements to the end of February each year. At 29 February 2020, Gok’s ledger account balances included the following.REQUIRED (a) Prepare Gok’s income statement for the year ended 29 February 2020.

O levels ACCOUNTING 7707/22/M/J/20

2 The K Music Club provides facilities for listening to music and also provides a refreshment bar for members. The club had the following assets and liabilities at 1 April 2019.REQUIRED (a) Calculate the accumulated fund at 1 April 2019.

O levels ACCOUNTING 7707/22/M/J/20

1 Bilal is a trader. He buys goods on credit and for cash. He sells goods on a cash basis only. The following transactions took place in April 2020.REQUIRED (a) Prepare the purchases journal for April 2020. Total the journal and indicate the ledger accou

O levels ACCOUNTING 7707/22/M/J/20

5 The following balances were extracted from the books of B Manufacturing on 30 September 2019.REQUIRED (a) Prepare the manufacturing account for the year ended 30 September 2019. Show clearly the prime cost and the cost of production.

O levels ACCOUNTING 7110/22/O/N/19

4 Rani is in business buying and selling goods on credit. She provided the following information.REQUIRED (a) Calculate the following for the year ended 30 September 2018.

O levels ACCOUNTING 7110/22/O/N/19

3 ABC Limited has ordinary share capital consisting of 150000 shares of $1 each. The following is an extract from the statement of changes in equity for ABC Limited for the year ended 31 August 2019.

O levels ACCOUNTING 7110/22/O/N/19

2 Karthik extracted the following trial balance from his books on 30 September 2019.REQUIRED (a) Name the type of error in 1–4.

O levels ACCOUNTING 7110/22/O/N/19

1 Sairah is a retailer of garden furniture. The following ledger account appeared in her books on 31 August 2019.(a) (i) Name the type of ledger accounts prepared by Sairah showing a balance after each transaction.

O levels ACCOUNTING 7110/22/O/N/19

30 Which accounting principle is referred to in the following statement? ‘An accountant should not overstate profit and should provide for all possible losses.’

O levels ACCOUNTING 7110/12/O/N/19

29 Which ratio measures liquidity?

O levels ACCOUNTING 7110/12/O/N/19

28 How is the current ratio calculated?

O levels ACCOUNTING 7110/12/O/N/19

27 What is not a voluntary deduction from gross wages?

O levels ACCOUNTING 7110/12/O/N/19

26 A trader’s sales were $300 000. The mark-up was 25%. What was the cost of sales

O levels ACCOUNTING 7110/12/O/N/19

25 The statement of financial position of a sports club included the following. What was the total of current liabilities?

O levels ACCOUNTING 7110/12/O/N/19

24 A sports club provided the following information. What was the amount of subscriptions shown in the income and expenditure account?

O levels ACCOUNTING 7110/12/O/N/19

23 Sara and Fatima are in partnership. Sara is entitled to a partnership salary of $30 000 per annum and the balance of the profit is shared equally. The profit for the year was $180 000. What was Sara’s total income from the business?

O levels ACCOUNTING 7110/12/O/N/19

22 The following balances were extracted from Sabeena’s books on 31 December. What was the capital employed?

O levels ACCOUNTING 7110/12/O/N/19

21 After preparing her income statement Emma found that: 1 a bad debt, $1500, should have been written off 2 no adjustment had been made for rent prepaid by her of $2800. The draft profit for the year was $35 000. What was the profit for the year after th

O levels ACCOUNTING 7110/12/O/N/19

20 Carlos is preparing his sales ledger control account. Where will he obtain information about contra entries?

O levels ACCOUNTING 7110/12/O/N/19

19 Which item would not appear in a sales ledger control account?

O levels ACCOUNTING 7110/12/O/N/19

18 Joseph depreciates his fixtures by 20% per annum using the straight-line method. A full year’s depreciation is charged in the year of purchase. During the year, repairs to fixtures of $400 were debited to the fixtures account. What was the effect of co

O levels ACCOUNTING 7110/12/O/N/19

17 Machinery, $20 000, was purchased on 1 January 2017. The provision for depreciation of machinery account at 31 December 2018 showed the following entries.

O levels ACCOUNTING 7110/12/O/N/19

16 Which methods of depreciation are used for these non-current assets?

O levels ACCOUNTING 7110/12/O/N/19

15 What will be treated as capital expenditure?

O levels ACCOUNTING 7110/12/O/N/19

14 At the end of her financial year Ling reduced the provision for doubtful debts by $500. Which journal entry records this?

O levels ACCOUNTING 7110/12/O/N/19

13 Hanna owed Alan $1800. On 1 June Hanna paid $1300 and the remaining balance was written off. What entries did Alan make on 1 June?

O levels ACCOUNTING 7110/12/O/N/19

12 A flat above a trader’s shop was rented out at $90 a month from 1 July 2018. At 30 June 2019 the rent receivable account showed entries for rent received from the tenant totalling $900. What was the balance of the rent receivable account on 1 July 2019

O levels ACCOUNTING 7110/12/O/N/19

11 A supplier’s account in Shilpa’s ledger showed a balance owing on 1 October of $3400. In October Shilpa purchased goods, $860, and returned goods, $55. During the month she made a payment of $2000.

O levels ACCOUNTING 7110/12/O/N/19

10 The following account appeared in Amna’s ledger. Which statement is correct?

O levels ACCOUNTING 7110/12/O/N/19

9 At the end of Leroy’s financial year it was decided that the balance on the telephone expenses account, $340, should be split 90% for business use and 10% for personal use.

O levels ACCOUNTING 7110/12/O/N/19

8 Which statement about a bank reconciliation statement is correct?

O levels ACCOUNTING 7110/12/O/N/19

7 On 1 October the bank column of Kim’s cash book showed an overdraft of $120. She was then notified that a cheque, $80, received from a customer in September had been dishonoured. What was the balance of the bank column in Kim’s cash book after recording

O levels ACCOUNTING 7110/12/O/N/19

6 Which document will a customer issue to inform a supplier of an overcharge?

O levels ACCOUNTING 7110/12/O/N/19

5 On 1 May Waheed issued an invoice for a credit sale of ten chairs to Yasser at a list price of $40 each. Trade discount of 10% was deducted. Yasser returned five chairs to Waheed on 15 May. What was the value of the invoice issued to Yasser?

O levels ACCOUNTING 7110/12/O/N/19

4 A trader purchased a motor vehicle for his business using a cheque from his personal bank account. How was this recorded in the books of the business?

O levels ACCOUNTING 7110/12/O/N/19

3 Which transaction will increase both assets and capital by the same amount?

O levels ACCOUNTING 7110/12/O/N/19

2 Why does the owner of a business calculate profit?

O levels ACCOUNTING 7110/12/O/N/19

1 Which task would be carried out by a book-keeper?

O levels ACCOUNTING 7110/12/O/N/19

5 Marcel and Naomi are in partnership. The partnership agreement states that the profits and losses are shared, Marcel three-fifths, Naomi two-fifths. Interest on capital is allowed at the rate of 4% per annum.

O levels ACCOUNTING 7110/22/M/J/19

4 Midhaven Products has a production line. The following information relates to the production line workers for the month of April 2019.REQUIRED (a) Name the following documents used in payroll recording.

O levels ACCOUNTING 7110/22/M/J/19

3 Jayden is in business buying and selling goods on credit. The following information is available for the month of March 2019.REQUIRED (a) Calculate the following ratios to one decimal place. The previous month’s ratios are shown in the last column.

O levels ACCOUNTING 7110/22/M/J/19

2 Khalid is a trader. On 18 April 2019 he was informed that Aiden, a credit customer who owed $600, had ceased trading. Aiden paid Khalid $240 by cheque. The remainder of Aiden’s balance was written off as irrecoverable.

O levels ACCOUNTING 7110/22/M/J/19

1 Mikaela purchases goods from Steve. On 1 March 2019 Mikaela owed Steve $900. Mikaela provided the following information for the month of March 2019.REQUIRED (a) Prepare the account of Steve in the books of Mikaela for the month of March. Balance the ac

O levels ACCOUNTING 7110/22/M/J/19

30 Which statement is not correct about reasons for using international accounting standards?

O levels ACCOUNTING 7110/12/M/J/19

29 A cheque paid by a business for fuel for the delivery vehicle was recorded in the books of the business. A cheque paid by the business owner for fuel for his motorcycle was not recorded in the books of the business. Which accounting principle was appli

O levels ACCOUNTING 7110/12/M/J/19

28 A business prepares its accounts on the basis that it will continue to trade in the foreseeable future.

O levels ACCOUNTING 7110/12/M/J/19

27 A business’s sales are $100 000, the expenses are $30 000 and the profit for the year is $20 000. What is the gross profit/sales ratio?

O levels ACCOUNTING 7110/12/M/J/19

26 What is not included in a statement of changes in equity of a limited company for the year ended 31 March 2019?

O levels ACCOUNTING 7110/12/M/J/19

25 A limited company provided the following information. A dividend of 10% on ordinary shares was paid during the year. What were the retained earnings on 31 December?

O levels ACCOUNTING 7110/12/M/J/19

24 A business provided the following information. What was the value of the purchases?

O levels ACCOUNTING 7110/12/M/J/19

23 After the preparation of the financial statements of a sports club it was found that no adjustment had been made for subscriptions received for the following financial year. How will correcting this error affect the financial statements?

O levels ACCOUNTING 7110/12/M/J/19

22 A golf club sells refreshments to its members. Suppliers of refreshments were owed $250 on 1 January 2018 and $400 on 31 December 2018. Payments to suppliers during the year were $7200.

O levels ACCOUNTING 7110/12/M/J/19

21 What is an advantage of trading as a partnership?

O levels ACCOUNTING 7110/12/M/J/19

20 On 1 January 2019 a commission receivable account had a credit balance. What does this balance represent?

O levels ACCOUNTING 7110/12/M/J/19

19 Muriel had a bank overdraft of $3820 and was owed $2100 by Ada. Ada paid promptly by cheque and received a 5% cash discount. What was the effect on Muriel’s statement of financial position when Ada paid her debt?

O levels ACCOUNTING 7110/12/M/J/19

18 Fatima opened a department store on 1 January 2018. She provided the following information on 31 December 2018.

O levels ACCOUNTING 7110/12/M/J/19

17 Which items are used to calculate cost of goods sold?

O levels ACCOUNTING 7110/12/M/J/19

16 A cheque received from D Pawson, a trade receivable, was correctly debited to the bank account but was credited to the account of P Dawson, a trade payable. What was the effect of correcting this error?

O levels ACCOUNTING 7110/12/M/J/19

15 On 1 January 2017 Wayne purchased a motor vehicle for $8000. He decided to depreciate it using the diminishing (reducing) balance method at 20% per annum. Which journal entry did Wayne make on 31 December 2018?

O levels ACCOUNTING 7110/12/M/J/19

14 What causes computer equipment to depreciate?

O levels ACCOUNTING 7110/12/M/J/19

13 An item of revenue expenditure was treated as an item of capital expenditure. What was the effect of this error?

O levels ACCOUNTING 7110/12/M/J/19

12 Which item is revenue expenditure for a manufacturer?

O levels ACCOUNTING 7110/12/M/J/19

11 A trader created a provision for doubtful debts. Why did he create this provision?

O levels ACCOUNTING 7110/12/M/J/19

10 Ali’s financial year ends on 31 March. During the year ended 31 March 2019, Ali paid wages of $42 500. On 31 March 2019, $1400 wages were accrued. Which journal entry records the transfer from the wages account to the income statement on 31 March 2019?

O levels ACCOUNTING 7110/12/M/J/19

9 After preparing a trial balance it was found that a cheque, $300, received from Oliver, had been debited in Oliver’s account and credited in the bank account. No other errors were found. Which statement about the trial balance before correcting the erro

O levels ACCOUNTING 7110/12/M/J/19

8 The following account appeared in the ledger of Chan. Which statement is correct?

O levels ACCOUNTING 7110/12/M/J/19

7 After receiving her bank statement Lyn updated her cash book. Which items would reduce the overdrawn balance in the cash book? 1 bank interest received 2 credit transfer received 3 direct debit payment

O levels ACCOUNTING 7110/12/M/J/19

6 Jane invoiced John for goods, $5000. John took a cash discount of 5% and sent Jane a cheque for the amount due. Which entries will appear in Jane’s cash book?

O levels ACCOUNTING 7110/12/M/J/19

5 Tahir purchased goods on credit from Yasmin. How did Yasmin record this?

O levels ACCOUNTING 7110/12/M/J/19

4 In April Meena sent Ralph invoices for $170, $240, $125 and a credit note for $63. In the same month Ralph sent Meena a debit note for $70 and a cheque for $107. What was the balance on Meena’s account in Ralph’s books on 1 May?

O levels ACCOUNTING 7110/12/M/J/19

3 What would be recorded by a debit entry in a ledger account?

O levels ACCOUNTING 7110/12/M/J/19

2 Which does not reduce the owner’s capital?

O levels ACCOUNTING 7110/12/M/J/19

1 What is the main function of book-keeping?

O levels ACCOUNTING 7110/12/M/J/19

35 A limited company applied the accounting objective of comparability in preparing its financial statements. What is the effect of this on the interested parties?

O levels ACCOUNTING 7707/12/M/J/20

34 A trader wrote off the balance on a credit customer’s account as irrecoverable. Which accounting principle was applied?

O levels ACCOUNTING 7707/12/M/J/20

33 At the end of the financial year, a company did not account for the unused stationary valued at $50. Which accounting principle did the company apply?

O levels ACCOUNTING 7707/12/M/J/20

32 Which external parties would be interested in the accounting ratios of a business?

O levels ACCOUNTING 7707/12/M/J/20