Question 1

Which of the following is the set of prime factors of 12?

A. {2, 3}
B. {1, 2, 3}
C. {1, 2, 4, 6}
D. {2, 3, 4, 6}

Question 2

Expand 3a(a – 4b)

A. 3a – 12ab
B. 3a² – 12ab
C. 3a² – 12b
D. 3a² – 12a

Question 3

Express 5 as a percentage of 4.

A. 125%
B. 120%
C. 25%
D. 20%

Question 4

Express 2700 as a product of prime numbers.

A. 2² × 3² × 5²
B. 2 × 3³ × 5²
C. 2² × 3³ × 5²
D. 2 × 3² × 5³

Question 5

The ratio of mangoes to oranges in a basket is 3:2. If there are 36 mangoes, how many oranges are in the basket?

A. 90
B. 60
C. 24
D. 12

Question 6

Express 0.125 as a fraction in its lowest form.

A. 1/8
B. 1/9
C. 1/12
D. 1/16

Question 7

Convert 222₅ to a number in base ten.

A. 30
B. 52
C. 60
D. 62

Question 8

If A = {18, 19, 20} and B = {15, 16, 17}, find A∩B.

A. {15, 16, 17, 18, 19, 20}
B. {15, 16, 18, 19}
C. {18, 19}
D. {}

Question 9

Simplify 3⁹ ÷ 3³

A. 32/7
B. 31/2
C. 36
D. 33

Question 10

An article which costs GH¢ 25.00 was sold for GH¢ 35.00. Find the percentage profit made.

A. 10%
B. 28%
C. 40%
D. 70%

Question 11

Factorize completely b² + fb – mb – fm.

A. (b – f)(b – m)
B. (b + f)(b – m)
C. (b + f)(m – b)
D. (b + f)(m + b)

Question 12

Simplify: -13 – (-3) + (-10).

A. -26
B. -20
C. -10
D. -6

Question 13

Find the HCF of 3³ × 5² and 3² × 5⁴.

A. 3² × 5²
B. 3³ × 5²
C. 3² × 5⁴
D. 3⁵ × 5⁶

Question 14

State the rule for the mapping

x 1 2 3 4

↓ ↓ ↓ ↓ ↓

y 15 30 46 60

A. x → 15x
B. x → 15 + x
C. x → 15x
D. x → 10 + 5x

Question 15

Solve the inequality x - 13 ≥ 23 - x.

A. x ≤ 12
B. x ≤ 23
C. x ≥ 12
D. x ≥ 23

Question 16

Find the area of a square, if its perimeter is 28 cm.

A. 784 cm²
B. 196 cm²
C. 49 cm²
D. 14 cm²

Question 17

Simplify: 13(12−13)−13(13−12)

A. -19
B. -118
C. 118
D. 19

Question 18

Make n the subject of the relation θ = 180 - 360n

A. θ + 180/360
B. θ - 180/360
C. 360/180 - θ
D. 360/180 + θ

Question 19

If R = h² + d²/8h, find R when d = 8 and h = 6.

A. 316
B. 413
C. 434
D. 4916

Question 20

Eight copies of a book cost GH₵ 16.00. Find the cost of 5 copies.

A. GH₵ 2.00
B. GH₵ 3.20
C. GH₵ 5.00
D. GH₵ 10.00

Question 21

Solve the equation 15(2 + y) = 12(y - 1).

A. -3
B. -34
C. 53
D. 3

Question 22

The gradient of the straight line that passes through points A(3, 2) and B(4, 8) is

A. -16
B. -12
C. 2
D. 6

Question 23

A car is travelling at 60 km per hour. How far does it travel in 2 1/2 hours?

A. 30 km
B. 60 km
C. 120 km
D. 150 km

Question 24

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

A. 38°
B. 52°
C. 58°
D. 64°

Question 25

Given that a = (5²n) and b = (2n - 16). If a = b, find the value of n.

A. 6
B. 3
C. 2
D. 1

Question 26

Find the volume of a cube of side 5 cm.

A. 10 cm³
B. 15 cm³
C. 25 cm³
D. 125 cm³

Question 27

In the diagram below, AB and CD are two intersecting straight lines. Find the value of the angle marked y.

A. 130°
B. 115°
C. 65°
D. 60°

Question 28

Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GH₵ 9.00, how much did they share?

A. GH₵ 16.20
B. GH₵ 36.00
C. GH₵ 45.00
D. GH₵ 81.00

Question 29

The area of the trapezium above is

A. 120 cm²
B. 180 cm²
C. 256 cm²
D. 360 cm²

Question 30

If r = (2 - 5) and s = (-25), calculate 2r - 3s.

A. (-10 - 25)
B. (-2 - 25)
C. (10 - 25)
D. (10 + 25)

Question 31

There are 10 red and 15 green balls in a bag. Find the probability of selecting at random a red ball from the bag.

A. 3/5
B. 2/5
C. 1/10
D. 1/5

Question 32

The table below gives the distribution of ages of students in a class. Use it to answer the question below.

Ages (years) 13 14 15 16 17

Number of students 3 10 6 7 4

How many students are in the class?

A. 30
B. 45
C. 20
D. 75

Question 33

The table below gives the distribution of ages of students in a class. Use it to answer the question below.

Ages (years) 13 14 15 16 17

Number of students 3 10 6 7 4

What is the modal age?

A. 14
B. 15
C. 16
D. 17

Question 34

The table below gives the distribution of ages of students in a class. Use it to answer the question below.

Ages (years) 13 14 15 16 17

Number of students 3 10 6 7 4

If a student is selected at random from the class, what is the probability that the student is 15 years old?

A. 1/5
B. 1/3
C. 1/2
D. 2/3

Question 35

A length of a ribbon is 16.8 m long. How many ribbons 0.36 m long can be cut from it?

A. 46
B. 4.60
C. 0.46
D. 460

Question 36

A refrigerator was sold for GH₵ 200.00 at a loss of 10%. Find the cost price.

A. GH₵ 222.22
B. GH₵ 220.00
C. GH₵ 190.48
D. GH₵ 180.00

Question 37

The diagram above is the net of a

A. cone
B. cuboid
C. rectangular prism
D. pyramid

Question 38

What is the value of 7 in the number 832713?

A. Seven thousand
B. Seven hundred
C. Seventy
D. Seven

Question 39

Write 3560 in standard form.

A. 3.56 x 10³
B. 3.56 x 10⁴
C. 3.56 x 10⁻³
D. 3.56 x 10⁻⁴

Question 40

Correct 0.02751 to three decimal places.

A. 0.027
B. 0.028
C. 0.03
D. 0.28