CXC MULTIPLE CHOICE SPECIMEN EXAM
1.
5
2 5
(A)
4
7
93
(B) 9
5
2.
3.
10. By the distributive law, 49 × 17 + 49 × 3 = (A) 49 + 20 (B) 52 + 66 (C) 49 × 20 (D) 52 × 66
3 6
(C) 9
35
12 35
What percentage of 340 is 425? (A) 80% (B) 85% (C) 125%
(D) 9
29
Item 11 refers to the following Venn diagram
35
(D) 152%
In scientific Notation, 170.04 is written as (A) 0.17004×103 (B) 1.7004×102 1 (C) 17.004×10 -1 (D) 1.7004×10
11. In the Venn diagram above the shaded area ar ea represents (A) P (B) ( P Q)
Item 4 refers to the following diagram
(C) Q P
(D) Q P
12. P and 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) 18
Item 13 refers to the following diagram
4.
The fraction of the circle which has b een shaded is (A)
5 24
(B)
8 24
(C)
15 24
(D)
19 24
5.
There are 40 student sin a class. Girls make up 60% of the class. 25% of the girls wear glasses. How many girls in the class wear glasses? (A) 6 (B) 8 (C) 10 (D) 15
6.
If $560 is shared in the ratio 2 : 3 : 9, the difference between the largest and the smallest share is (A) $80 (B) $240 (C) $280 (D) $360
7.
The first three common multiples of 3, 4, and 6 are (A) 0,1,2 (B) 3,4,6 (C) 6,8,12 (D) 12,24,36
8.
What is the HCF of the set of numbers {54, 72, 90}? (A) 9 (B) 18 (C) 90 (D) 1080
9.
301 can be written as (A) 3 × 102 + 1 3 (B) 3 × 10 + 1 2 (C) 3 × 10 + 1 (D) 3 × 103 + 1
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13. The two circles above represents set P and and set Q. If P = = {factors of 6} and Q = {factors of 4}, then the shaded region represents (A) { } (B) {1,2} (C) {4,6,8…} (D) {12,24,36…} 14. U = = {integers} = {Positive integers} P = = {Negative integers} N = Which of the Venn diagrams below illustrates il lustrates the statement ”No positive integers are negative integers” (A) (B)
(C)
(D)
CXC MULTIPLE CHOICE SPECIMEN EXAM 15. If p sweets are sold for q cents, then one sweet is sold for p (A) (B) pq cents cents q (C)
16. 3
1 4
q p
cents
(D) (q - p) cents
of $5.00 is (A) $1.62 (C) $16.00
(B) $15.52 (D) $16.25
17. Susan bought a calculator for $120. She had to pay a sales tax of 10% on the price. How much change would she receive from $140? (A) $ 8.00 (B) $12.00 (C) $28.00 (D) $32.00 18. $600 invested at simple interest for 2 years earns $96. What is the rate of interest per annum? 1 1 1 (A) % (B) 3 % (C) 8% (D 12 % 8 8 2 19. A p[lot of land is valued at $18 000. Land tax is charged at the rate of $0.70 per $100 value. What is the total amount of tax paid for the land? (A) $110.00 (B) $126.00 (C) $180.70 (D) $257.15 20. A customer buys a table on hire purchase. He makes a deposit of $306 and pays 6 monthly instalments of $60 each. The total cost to the customer is (A) $360 (B) $366 (C) $666 (C) $966 21. Mary invested $200 for 3 years at 5% per annum. John $300 at the same rate. If they both received the same amount of money in simple interest, for how many years did John invest his money? (A) 1½ (B) 2 (C) 3 (D) 10 22. A company employs 12 gardeners each at $26 per day, and 8 clerks each at $17 per day. What is the mean daily wage, in dollars, of the 20 employees? (A) $20.00 (B) $21.50 (C) $22.40 (D) $31.50 23. If 2( y – 4) = 16, then y = (A) 4 (B) 6 (C) 10
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(D) 12
Item 24 refers to the expansion below
x a x b x2 (a b) x ab 24. The middle term in the expansion of ( x + 3) ( x – 1) is (A) 2 (B) 3 (C) 2 x (D) 4 x 25. The expression – 2( x – 4) is the same as (A) -2 x – 8 (B) -2 x – 4 (C) -2 x + 4 (D) -2 x + 8 2
26. If m * n mn n then 5 * 3
(A)
6
(B) 3
(C)
15
(D) 6
27. If 152 =225 then the square root of 0.0225 is (A) 0.015 (B) 0.15 (C) 1.5 (D) 15.0 28. Given 2 x + 3 9, the range of values of x is (A) x > 3 (B) x 3 (C) x > 6 (D) x 6 29. When 6 is added to a number and the sum divided by three, the result is 4. this statement written in mathematical symbols is 6 6 x (A) 4 (B) x 4 3 3 x 6 x 4 (C) (D) 6 4 3 3 3 30. John has x marbles and Max has twice as many. Max gives Tom 5 of his marbles. How many marbles does Max now have? (A) x + 5 (B) x – 5 (C) 2 x + 5 (D) 2 x – 5 31. The sides of a triangle are x cm, ( x – 1) cm and ( x + 2) cm. if the perimeter is 31 cm, then the shortest side is (A) 9 (B) 10 (C) 11 (D) 12 32. The mass, in kg, of a bag of rice is given as 10.6 kg correct to 1 decimal place. The range of values in which the actual mass lies is (A) 10.5< m <10.7 (B) 10.55< m <10.64 (C) 10.59< m <10.69 (D) 10.55< m <10.65
CXC MULTIPLE CHOICE SPECIMEN EXAM 33. The diagram below shows a cylinder with diameter 6cm and height 20cm.
38. Which of the following figures has a n area equal to
1 2
(3 4)5 square units ?
3
The volume in cm of the cylinder is (A) 180π (B) 240π (C) 360π (D) 720π 34. The distance around the edge of a circular pond is 88m. The radius in metres is 88 88 (A) 176 π (B) 88 (C) (D) 2 Item 36 refers to the following diagram
35. AOB is a sector of a circle such that angle AOB = 72° and OB is r units long. The area of AOB is 1 2 2 1 2 (A) r (B r (C) r (D) r 2 5 5 5 5
39. A man leaves home at 22:15 hrs and reaches his destination in the same time zone at 04:00hrs on the following day. How many hours did the journey take? (A) 5 (B) 5
3 4
(C) 6 Item 36 refers to the following diagram. (D) 6
1 4
40. The table below shows the frequency of scores obtained by students in a test
36. In the figure above O is the centre of a circle of radius 10 cm and angle AOB is 36°. What is the length, in cm, of arc AB? (A) 2π (B) 4π (C) 20π (D) 24π 37. The circumference of a circle is 132 cm. Gi ven that π =
22 7
(A) 42
, the radius of the circle is (B) 21
(C)
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42 (D)
21
Scores 2 3 5 Students 8 4 6 The range of the scores is (A) 2 (B) 7 (C) 8 (D) 10
6 3
8 9
10 2
CXC MULTIPLE CHOICE SPECIMEN EXAM Items 41 – 42 refer to the diagram below showing the number of persons who listen to Radio Stations A, B, C, and D during the week.
Item 45 refers to the diagram below.
45. The pie chart shows the popular games played by 720 students. How many students play cricket? (A) 180 (B) 120 (C) 252 (D) 300 41. Which two stations together have more than 1500 listeners during the week? (A) A and B (B) A and D (C) C and D (D) B and D 42. Which station had as many listeners during the week as the mean number of listeners for the four stations during the week? (A) Station B (B) Station A (C) Station C (D) Station D
46. Which of the following represents the equation of a straight line? 4
(A) y = 2 x + 3
(B) y =
(C) y = x2 – 4
(D) y = x2 + 2 x – 5
x
Item 47 refers to the graph below
Item 43 refers to the following scores below 10
15
4
7
8
8
1
4
43. The median of the eight scores presented above is (A) 4 (B) 7.25 (C) 7.5 (D) 8
47. The straight line AB cuts the y-axis at (A) (0, 3) (B) (0, 2) (C) (3, -2) (D) (0, -2) 48. Which arrow diagram below shows the relation “is three less than”?
44. Here are 4 sets of numbers. I. {1,2,6} II. {2,4,6} III. {1,2,5,6,7} IV. {10,11,12,13,14} For which set(s) of numbers are the mean and t he median the same? (A) I only (B) II and IV only (C) I, II, and, III only (D) II, III, and IV only
49. Which one of the following points lie on the line y = 2 x – 3? (A) (2,3) (B) (-2,-1) (C) (4,1) (D) (0,-3)
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CXC MULTIPLE CHOICE SPECIMEN EXAM Item 50 refers to the following diagram
54. A ship sailed 8 km due east from A to B. It then sailed 6 km due north to C . Which diagram below best represents the path of the ship?
50. The diagram above shows a graph. If a, b and c are constants and a > 0, the equation of the graph could be (A) y ax2 c (B) y c ax2 (C) y ax2 bx c (D) y c bx ax2 Item 51 below shows that the coordinate axes divide the xy- plane into 4 quadrants.
Item 55 refers to the diagram below
51. A point ( x, y) lies in the fourth quadrant if (A) x > 0 and y > 0 (B) x < 0 and y > 0 (C) x < 0 and y < 0 (D) x > 0 and y < 0 Item 52 refers to the diagram below
55. Line AB is rotated through 90° clockwise about the point C . The coordinates of A the image of A are (A) (1,1) (B) (1,2) (C) (1,4) (D) (2,2) Item 56 refers to the diagram below
52. The measure of angle ABE is (A) 58° (B) 122° (C) 142° (D) 302° Item 53 refers to the cuboid below.
53. The number of faces, edges, and vertices of the cuboid, written as an ordered triple of numbers is (A) (6,6,6) (B) (6,8,8) (C) (6,12,8) (D) (6,12,12)
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56. AB is parallel to EC . Calculate < BDE. (A) 40° (B) 50° (C) 140° (D) 180°
CXC MULTIPLE CHOICE SPECIMEN EXAM Item 57 refers to the diagram below.
57. The value of tan(180° - x° ) = a (A) b b (B) c a (C) c b (D) a Item 58 refers to the diagram of a building below A boy stands 12 meters from the foot of the building and observes the angle of elevation of the top of the building.
Item 59 refers to the following diagram.
59. From the diagram above sin β is (A) (B) (C) (D)
3 5
3 4 4 5 5 3
Item 60 refers to the following diagram.
58. The height of the building is approximately (A) 12 tan40° (B) 1.6 + 12 sin 40° (C) 1.6 + 12 cos 40° (D) 1.6 + 12 tan 40°
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60. In the figure above, ABC is a triangle in which AD = BD = CD. The angle ABC is (A) 40° (B) 50° (C) 80° (D) 90°
