CXC MCHOICE JAN 07 (CHECKED)

CXC TYPE QUESTIONS
1. The expression (3x – 2)(x + 1) may be written
as
(A) 3 x 2  x  2
(B) 3 x 2  x  2
(C) 3 x 2  x  2
(D) 3x 2  x  2
2. The volume of a cube of edge 10 cm is
(A) 30 cm3
(B) 100 cm3
(C) 300 cm3
(D) 1 000 cm3
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
1
(A) 5%
(B) 8 %
3
2
(C) 16 %
(D) 20%
3
10. f ( x)  ax  b.
If f (1)  12, and f (2)  17, them f(17) is
(A) 32 (B) 37 (C) 42 (D) 47
11. Sarah mowed
5
of a lawn.
9
1
of the lawn.
3
What fraction of the lawn remained to be
mowed?
1
4
2
8
(A)
(B)
(C)
(D)
9
9
3
9
Jim mowed
3. The diagram above represents the mapping
(A) x  2x
(B) x  x + 2
(C) x  2x
(D) x  x 2
4. If m = 2 and p = 3, then
(A) 
7
3
(B) 
5
3
4p  m
mp
5
7
(C)
(D)
3
3
5. If 5( y  2)  3( y  4)  0, 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 n( P  Q)  3. What is
n( P  Q ) ?
(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 × 102
(B) 3.46 × 10
(C) 3.46 × 10–2
(D) 3.46 × 10–1
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
Customs duty
20% of value
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 f ( x)  3x2  4x  5, then f(–2) =
(A) –49 (B) –1 (C) 9 (D) 23
15. If 2x  1  3x  6, then
(A) x  7
(B) x  7
(C) x > –7
(D) x < 7
16. In a rectangular garden plot 15 m long and 12
m wide an area of 80 m2 is used for growing
vegetables. What area of the plot is left?
(A) 26 m2
(B) 100 m2
2
(C) 134 m
(D) 260 m2
Item 23 refers to the right angled triangle below.
Qˆ  90 , PQ = 50 cm, PR = 130 cm and RQ = x
cm.
Item 17 – 18 refer to the following information.
Overtime,
Regular time
that is, above 40 hrs
$3.00 per hour
Twice payment for
up to 40 hours
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
23. tan PRˆ Q 
50
(A)
x
(B)
x
50
(C)
50
130
(D)
x
130
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
22 

the length of the arc?   

7 

1
1
(A) 9 cm
(B) 18 cm
6
3
1
(C) 88 cm
(D) 128 cm
3
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?
4
1
(A)
(B) 2
(C) 5 (D) 44
9
4
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?
1
1
(A)
(B)
(C) 2 (D) 4
4
2
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26. The Gradient of AB in the figure above is
1
1
(A) –2 (B) 
(C)
(D) 2
2
2
Item 41 refers to the following diagram, which
shows the amount of spending money received by
pupils in an infant school
27. In the diagram above ΔABC is an enlargement
of ΔADE such that
AD AE 1


DB EC 2
If the area of ABC = 36 cm2, then the area of
DECB, in cm2, is
(A) 18
(B) 24
(C) 27
(D) 32
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 =
k
(A)
x
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?
y  6  3x
y  6  3x
(A)
(B)
1
y  6 x
y  6  3x
3
y  2  3x
y  2  3x
(C)
(D)
y  6  3x
y  6  3x
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°
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(B) k x
k
(C)
x2
(D) kx2
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
 2 
  . The coordinates of the image of P are
  3
(A) (a  2, b-3)
(B) (a  2, b  3)
(C) (a  2, b  3) (D) (a  3, b  2)
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) P 2
(B) P 2  1
(C) 2 P
(D) 2 P  1
37. What is the radius, in cm, of a circle whose
77
area is
cm2 ?
2
(A) 3.5 (B) 4.7 (C) 12.25 (D) 22
42. What is another name for a cumulative
frequency curve?
(A) Ogive
(B) Median
(C) Mode
(D) Range
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
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) 3p2
(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
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) P  R 
(D) Q  R 
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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) f ( x)  x 2  2 x  3
(B)
f ( x)  3  2x  x 2
(C)
f ( x)  x 2  2 x  3
(D)
f ( x)  3  2 x  x 2
50. The set of values for x for which f(x) > 0 is
(A) x : x  0
(B)
(C)
(D)
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x : 1  x  3
x : 3  x  1
x : 0  x  3

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