Cxc Multiple Choice 2006 (Checked) (1)

CXC MULTIPLE CHOICE SPECIMEN EXAM

1.

5

(A) 2.

3.

10. By the distributive law, 49 × 17 + 49 × 3 = (A) 49 + 20 (B) 52 + 66 (C) 49 × 20 (D) 52 × 66

2 3 4 5 7 93 5

(B) 9

6 35

(C) 9

12 35

What percentage of 340 is 425? (A) 80% (B) 85% (C) 125%

(D) 9

29 35

Item 11 refers to the following Venn diagram

(D) 152%

In scientific Notation, 170.04 is written as (A) 0.17004×103 (B) 1.7004×102 (C) 17.004×101 (D) 1.7004×10-1

11. In the Venn diagram above the shaded area represents (A) P (B) ( P  Q)

Item 4 refers to the following diagram

(C) Q  P

(D) Q  P

12. 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) 18 Item 13 refers to the following diagram 4.

The fraction of the circle which has been 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 (B) 3 × 103 + 1 (C) 3 × 102 + 1 (D) 3 × 103 + 1

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13. The two circles above represents set P 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} P = {Positive integers} N = {Negative integers} Which of the Venn diagrams below illustrates 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 cents q q (C) cents p (A)

16. 3

(B) pq cents (D) (q - p) cents

1 of $5.00 is 4 (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? (A)

1 1 1 % (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) 2x (D) 4x 25. The expression –2(x – 4) is the same as (A) -2x – 8 (B) -2x – 4 (C) -2x + 4 (D) -2x + 8 26. If m * n  mn  n 2 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 2x + 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 x 4 3 6 x 4 (C)  3 3 (A)

6 x4 3 x (D) 6   4 3 (B)

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) 2x + 5 (D) 2x – 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 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