Question 1

If set N is a subset of set M, then

A. sets M and N have the same number of elements.
B. some members of set N can be found in set M
C. no member of set N is in set M.
D. all members of set N are in set M.

Question 2

The Venn diagram shows the number of pupils who offer Mathematics (M) and/or English (E) in a class.

How many pupils offer Mathematics?

A. 10
B. 18
C. 25
D. 28

Question 3

How many pupils offer only one subject?

A. 3
B. 7
C. 18
D. 21

Question 4

Simplify: 12 - 7 - (-5).

A. -10
B. -2
C. 0
D. 10

Question 5

Express 72 as a product of its prime factors.

A. \(2 × 3^2\)
B. \(2^2 × 3^2\)
C. \(2^3 × 3\)
D. \(2^3 × 3^2\)

Question 6

Find the smallest number which is divisible by 16 and 20?

A. 40
B. 80
C. 120
D. 160

Question 7

Convert 243_five to a base ten numeral.

A. 40
B. 43
C. 45
D. 73

Question 8

A pineapple which was bought for GH₵1.00 was sold at GH₵1.30. Calculate the profit percent.

A. 10%
B. 20%
C. 23%
D. 30%

Question 9

Simplify \(35x^5y^3 ÷ 7xy^2\)

A. \(5x^5y^3\)
B. \(5x^4y^5\)
C. \(5x^6y\)
D. \(5x^6y^5\)

Question 10

Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously (at the same time)?

A. 6 hours
B. 8 hours
C. 12 hours
D. 24 hours

Question 11

A boy scores \( frac{17}{25} \) in a French test. Express his score as a percentage.

A. 17%
B. 34%
C. 68%
D. 85%

Question 12

Arrange the following fractions in ascending order of magnitude: \( \frac{2}{5} \), \( \frac{5}{12} \), and \( \frac{3}{4} \).

A. \( \frac{2}{5} \), \( \frac{3}{4} \), \( \frac{5}{12} \)
B. \( \frac{2}{5} \), \( \frac{5}{12} \), \( \frac{3}{4} \)
C. \( \frac{5}{12} \), \( \frac{2}{5} \), \( \frac{3}{4} \)
D. \( \frac{3}{4} \), \( \frac{2}{5} \), \( \frac{5}{12} \)

Question 13

Kofi paid rent of GH₵1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income.

A. GH₵6,000.00
B. GH₵5,400.00
C. GH₵18,000.00
D. GH₵600.00

Question 14

I gave a storekeeper a GH₵10.00 note for goods I bought. He asked me for another 15Gp for ease of change. If he then gave me 50Gp, how much did I pay for the goods?

A. GH₵9.35
B. GH₵9.45
C. GH₵9.65
D. GH₵10.65

Question 15

Kojo can buy 15 shirts at GH₵4.00 each. If the price is increased to GH₵5.00, how many shirts can he now buy?

A. 12
B. 15
C. 19
D. 20

Question 16

A hall which is 8 m long is represented on a diagram as 4 cm long. What is the scale of the diagram?

A. 1 : 200
B. 1 : 250
C. 1 : 400
D. 1 : 800

Question 17

Jane arrived at work at 7:55 a.m and left at 4:15 p.m. For how long was she at work?

A. 7 hr 20 min
B. 7 hr 45 min
C. 8 hr 20 min
D. 8 hr 40 min

Question 18

Given that \( (3.14 × 18) × 17.5 = 3.14 × (3p × 17.5) \), find the value of p.

A. 3.0
B. 5.8
C. 6.0
D. 9.0

Question 19

The pie chart shows how Kwaku spends his monthly salary.

Find the value of x.

A. 65°
B. 75°
C. 85°
D. 100°

Question 20

Kwaku earns GH₵630.00 a month. How much of this does he spend on food?

A. GH₵140.00
B. GH₵157.00
C. GH₵210.00
D. GH₵350.00

Question 21

What percentage of his salary does he spend on rent and utilities?

A. 12.1%
B. 12.5%
C. 22.2%
D. 33.3%

Question 22

In an enlargement with scale factor 2, which of the following statements is not true?

A. Each length is multiplied by 2.
B. Each angle remains the same.
C. The shape of the figure does not change.
D. The size of the figure does not change.

Question 23

Kofi, Kojo and Ama shared GH₵480,000.00 in the ratio 3:5:4.

How much did Ama receive?

A. GH₵160,000.00
B. GH₵200,000.00
C. GH₵218,181.81
D. GH₵342,859.14

Question 24

If w = 12, x = 5, y = 6 and z = 4, find the value of wx - yz.

A. 18
B. 27
C. 36
D. 84

Question 25

A man was 24 years old when his son was born. Now he is three times as old as his son. Find the age of the son.

A. 6 years
B. 12 years
C. 18 years
D. 36 years

Question 26

There are 20 identical balls in a box. Twelve are blue and the rest are green. If one ball is taken at random from the box, find the probability that the ball is green.

A. \( \frac{1}{20} \)
B. \( \frac{2}{5} \)
C. \( \frac{3}{5} \)
D. \( \frac{3}{4} \)

Question 27

Using the following mapping, find the missing numbers p and q.

x	1	2	3	4	5	6
y	3	5	p	9	11	q

A. p = 6, q = 12
B. p = 6, q = 13
C. p = 7, q = 12
D. p = 7, q = 13

Question 28

The perimeter of a rectangle is 24 cm. If the length is 7 cm, find its width.

A. 3 cm
B. 5 cm
C. 10 cm
D. 12 cm

Question 29

A boy walks on a bearing 070°. Which of the following diagrams show his direction?

A.
B.
C.
D.

Question 30

How many faces has a cube?

A. 4
B. 6
C. 8
D. 12

Question 31

The diameter of a circular tray is 28 cm. Find the area of the tray.

[Take π = \( \frac{22}{7}) \)

A. 44 cm²
B. 88 cm²
C. 154 cm²
D. 616 cm²

Question 32

Calculate the volume of a cylinder with radius 7 cm and height 10 cm.

[Take π = \( \frac{22}{7}) \)

A. 220 cm³
B. 440 cm³
C. 1,540 cm³
D. 3,080 cm³

Question 33

Use the diagram below to answer the question below.

Find the value of e.

A. 38°
B. 40°
C. 88°
D. 92°

Question 34

Find the angle marked d.

A. 38°
B. 40°
C. 48°
D. 88°

Question 35

A 3.6 m long string is to be cut into pieces, each of length 40 cm. How many pieces can be cut from the string?

A. 4
B. 6
C. 8
D. 9

Question 36

Solve the inequality \( 2x + 10 ≥ \frac{7x}{2} - 5.\)

A. x ≤ 10
B. x ≥ 10
C. x ≤ 40
D. x ≥ 40

Question 37

The point P(5,4) is reflected in the y-axis. Find its image.

A. (-5,4)
B. (5,-4)
C. (-4,5)
D. (4,-5)

Question 38

If \(\begin{pmatrix} 4 \\ 11 \end{pmatrix}\) and \(\begin{pmatrix} x -3 \\ 11 \end{pmatrix}\), find the value of x.

A. -1
B. 1
C. 7
D. 12

Question 39

Find the gradient of the line which passes through the points M(-1,2) and N(6,-3).

A. \( \frac{-5}{7}\)
B. \( \frac{-7}{5}\)
C. \( \frac{5}{7}\)
D. \( \frac{7}{5}\)

Question 40

Find the next two terms in the sequence 11,7,3,-1,...,...

A. 5,9
B. 3,7
C. -4,-9
D. -5,-9