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1. If the mean of the numbers 6, 8, 10, x, 2x - 2 is 14.

What is the largest number in the group?

36

30

20

16

24

2. Four of the interior angles of a pentagon are equal and each is twice the fifth angle. What is the value of each of the four equal angles?

60°

90°

75°

135°

120°

3.

Evaluate:

0.064^{-1/3}

5/2

4

2

1/4

1/2

4. A trader sold an article for £660 at a profit of 20%. In order to make a profit of 30%, the article should have been sold for

£840

£990

£715

£858

£792

5. The variance for the set of numbers 3, 6, 9, 12, 15 is

24

18

12

36

15

6. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x.

What are the values of P & Q respectively?

2, -3

4, -3

0, -3

2, 3

3, 4

7. If m>n, then which of the following is NOT correct for all values of m and n?

m² < n

-m² < n²

0 < m - n²

m² > n²

-m < -n

8. If U = {integers x: 0 < x < 10} P = {prime numbers y: 0 < y < 10}, and Q = {odd numbers z: 0 < z < 10}

then P' ∩ Q' is

Ø

{4, 6, 8}

{ 0 }

{2, 4, 6, 8}

{1, 4, 6, 8}

9. If f(1/x) = x² - 2x + 3, then f(2) =

9/4

3/2

2

1/2

3

10. If two triangles are similar, then

I. the corresponding angles are similar II. the areas of the triangles are in the same ratio as the lengths of the corresponding sides. III. the triangles are congruent. IV. the corresponding sides are proportional.

Which of the above statements are CORRECT?

all of the above

I and II only

III and IV only

I, III and IV only

I, II and III only

11. The standard deviation of the set of numbers -3, -2, -1, 0, 1, 2, 3, is

2

2√2

4

0

4√2

12. A sum of money invested at 6% per annum simple interest increased to $14,750 after 3 years. Determine the amount invested.

$12,000

$13,000

$13,500

$12,800

$12,500

13. When the length of a rectangle is doubled and its width is increased by 4m, its perimeter increases from 22m to 48m. Find the original length and width of the rectangle respectively

5m, 3m

5m, 6m

6m, 4m

9m, 2m

7m, 4m

14. The population of a school is 1,376. Express this to three significant figures.

1,380

1,376

1,470

1,370

138

15. If f ( x+ 2 ) = x² + 3x + 1, then f ( -2 ) is

5

11

0

1

-1

16.

Solve for q:

5 [2^{(q - 3)}] = 160

6

9

10

8

7

17. sec θ sin(90° - θ) equals

tan θ

1

cot θ

0

90°

18. In a mock quiz taken by 40 boys and y girls, the mean scores were 5.5 and 6 respectively. If the total score was 412, find the value of y

36

32

34

38

30

19. Three girls Shanon, Tara and Tola shared a packet of sweets. Shanon received 2/5 of the sweets, Tara received 5/9 of the remainder and Tola got 8 sweets.

How many sweets were in the packet?

40

30

15

25

20

20. A square pyramid and a cuboid have the same height and the areas of their bases are equal.