Cxc Mchoice Jan 07 (Checked)

CXC TYPE QUESTIONS

1. The expression (3x 2)(x + 1) may be written as

(A) 23 2 xx

(B) 23 2 xx

(C) 23 2 xx

(D) 23 2 xx

2. The volume of a cube of edge 10 cm is (A) 30 cm

3

(B) 100 cm3

(C) 300 cm3

(D) 1 000 cm3

3. The diagram above represents the mapping

(A) x 2x (B) x x + 2

(C) xx 2

(D) 2xx

4. If m = 2 and p = 3, then mp

mp 4

(A) 3

7 (B)

3

5 (C)

3

5 (D)

3

7

5. If ,0)4(3)2(5 yy then y =

(A) 1 (B) 3 (C) 7 (D) 11

6. P and Q are two finite sets such that n(P) = 7,

n(Q) = 5 and .3)( QPn What is

?)( QPn

(A) 6 (B) 9 (C) 15 (D) 8

7. If 4.5 : 21 = x : 14, then x to one decimal place is

(A) 0.3 (B) 2.5 (C) 3.0 (D) 6.7

8. 0.0346 written in standard form is (A) 3.46 10

2

(B) 3.46 10 (C) 3.46 10

2

(D) 3.46 101

9. A loan of $8 000 was paid back in two years in monthly payments of $400.00. The percentage

profit on the loan was

(A) 5% (B) 83

1%

(C) %3

216 (D) 20%

10. .)( baxxf

If ,17)2( and ,12)1( ff them f(17) is

(A) 32 (B) 37 (C) 42 (D) 47

11. Sarah mowed 9

5 of a lawn.

Jim mowed 3

1of the lawn.

What fraction of the lawn remained to be

mowed?

(A) 9

1 (B)

9

4 (C)

3

2 (D)

9

8

12. The value of a car depreciates by 5% each year. How much, to the nearest $10, will a car

bought for $5 000 be valued after 2 years?

(A) $3 750 (B) $4 500 (C) $4 510 (D) $4 990

13. Consumption tax and customs duty are calculated as follows:

Consumption tax 20% of value

Customs duty 50% of value

What is the total tax paid on an article which is

valued at $150.00?

(A) $45.00 (B) $90.00 (C) $105.00 (D) $120.00

14. If then,543)( 2 xxxf f(2) =

(A) 49 (B) 1 (C) 9 (D) 23

15. If then,6312 xx

(A) 7x

(B) 7x (C) x > 7 (D) x < 7

www.passyourmathsexams.com

16. In a rectangular garden plot 15 m long and 12 m wide an area of 80 m

2 is used for growing

vegetables. What area of the plot is left?

(A) 26 m2 (B) 100 m

2

(C) 134 m2 (D) 260 m

2

Item 17 18 refer to the following information.

Regular time

Overtime,

that is, above 40 hrs

$3.00 per hour

up to 40 hours

Twice payment for

regular time

17. How much will John receive for overtime work if he worked 15 hours overtime

(A) $30 (B) $45 (C) $60 (D) $90

18. Jane was paid $168. How many hours overtime did she work

(A) 8 (B) 16 (C) 28 (D) 48

19. What is the greatest common divisor of the set of numbers, {54, 72, 90}

(A) 9 (B) 18 (C) 90 (D) 1080

20. An arc of a circle of radius 14 cm subtends an angle of 75 at the centre of the circle. What is

the length of the arc?

7

22

(A) cm 6

19 (B) cm

3

118

(C) 88 cm (D) cm 3

1128

21. ABCD is a circle with centre O. BCF is a

straight line. Angle CBD = 28 and angle FCD

= 78. What is the size of angle BAC?

(A) 28 (B) 50 (C) 74 (D) 78

22. If the length of a rectangle is doubled, by what number must the width be multiplied in order

that the area remains the same?

(A) 4

1 (B)

2

1 (C) 2 (D) 4

Item 23 refers to the right angled triangle below.

90Q , PQ = 50 cm, PR = 130 cm and RQ = x

cm.

23. tan QRP

(A) x

50 (B)

50

x (C)

130

50 (D)

130

x

24. In the diagram above AB = ED = 28 m, AE =

14 m, and BCD is a semi-circular arc. The

perimeter of the figure is

(A) 81 m (B) 92 m (C) 106 m (D) 114 m

25. If the simple interest on $800 for 3 years is $54, what is the rate per cent?

(A) 9

4 (B)

4

12 (C) 5 (D) 44

26. The Gradient of AB in the figure above is

(A) 2 (B)2

1 (C)

2

1 (D) 2


27. In the diagram above ABC is an enlargement

of ADE such that

2

1

EC

AE

DB

AD

If the area of ABC = 36 cm2, then the area of

DECB, in cm2, is

(A) 18 (B) 24 (C) 27 (D) 32

28. The figure above represents a rectangular

block. The total surface area, in square units, is

(A) 15x2

(B) 23x2

(C) 30x2

(D) 46x2

29. Which of the following pairs of equations represents lines which are parallel?

(A) xy

xy

36

36

(B)

xy

xy

3

16

36

(C) xy

xy

36

32

(D)

xy

xy

36

32

Item 30 refers to the following table, which

shows the distribution of the lengths, in cm, of

nails in a bag.

Length in cm 2 2.25 2.50 2.75 3

Frequency 30 20 65 60 65

30. The angle that would be used on a pie chart to represent the number of nails that are 2.75 cm

long is

(A) 60 (B) 90 (C) 120 (D) 216

Item 41 refers to the following diagram, which

shows the amount of spending money received by

pupils in an infant school

31. The mode of the distribution is

(A) 30 (B) 40 (C) 50 (D) 60

32. y varies inversely as the square of x. If k is a constant, then y =

(A) x

k

(B) xk

(C) 2x

k

(D) 2kx

33. Which of the following sets could NOT be the lengths of the sides of a right-angled triangle?

(A) {2, 3, 4} (B) {3, 4, 5} (C) {5, 12, 13} (D) {6, 8, 10}

34. The point P(a, b) is translated by a vector

3

2. The coordinates of the image of P are

(A) )3 ,2( b-a (B) )3 ,2( ba

(C) )3 ,2( ba (D) )2 ,3( ba

35. 0.08 2.5 in standard form is (A) 2 10

2 (B) 2 10

1

(C) 2 10 (D) 2 102

36. The number of subsets of a set P elements equals

(A) 2P

(B) 12 P

(C) P2

(D) 12 P


37. What is the radius, in cm, of a circle whose

area is 2cm 2

77 ?

(A) 3.5 (B) 4.7 (C) 12.25 (D) 22

Items 48 49 refer to the following table which, shows the frequency of scores obtained by 35

students in a Mathematics test.

Scores 1 2 3 4 5 6 7 8 9

Students 1 10 4 0 2 7 0 5 6

38. The modal score is (A) 2 (B) 5 (C) 9 (D) 10

39. The range of scores is (A) 5 (B) 6 (C) 8 (D) 9

40. In the figure above, which point lies on the

line LM? (A) (2, 7) (B) (5, 5) (C) (6, 0) (D) (7, 1)

41. In the Venn diagram above, the shaded region

represents

(A) Q

(B) R (C) RP (D) RQ

42. What is another name for a cumulative frequency curve?

(A) Ogive (B) Median (C) Mode (D) Range

43. A rectangle which is three times as long as it is wide, has a width of P cm. Its perimeter in

cm is

(A) 4p (B) 8p (C) 3p

2

(D) p + 3

44. Jane has x sweets and Mary has three times as many. If together they have 28, how many

sweets does Jane have?

(A) 7 (B) 9 (C) 14 (D) 21

45. Which of the following is a composite number?

(A) 11 (B) 21 (C) 31 (D) 41

46. The median of the set of numbers 7, 1, 3, 5, 4, 8, 2, 7, 7, 11, is

(A) 4 (B) 5 (C) 6 (D) 7

47. Which of the following shapes is a square pyramid

(A)

(B)

(C)

(D)


48. Which of the following relations represents a one-to-one mapping?

Items 49 50 refer to the graph below

49. Which of the following represents the equation of the graph above?

(A) 32)( 2 xxxf

(B) 223)( xxxf

(C) 32)( 2 xxxf

(D) 223)( xxxf

50. The set of values for x for which f(x) > 0 is

(A) 0: xx (B) 31: xx (C) 13: xx (D) 30: xx

Cxc Mchoice Jan 07 (Checked)

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