Question 1

Simplify: $\frac{3}{4}-\frac{1}{3}+\frac{1}{12}$

A. $\frac{1}{3}$
B. $\frac{1}{2}$
C. $\frac{1}{6}$
D. $\frac{2}{3}$

Question 2

Given that N = {x:x is a factor of 18} and M = {x:x is a multiple of 12}, find N ∩ M.

A. {1,2,3,6}
B. {1,2,3,6,12}
C. {2,3,6,12,18}
D. {}

Question 3

Express 4382.93 in standard form.

A. 438293 x 10⁴
B. 43.8293 x 10²
C. 4.38293 x 10⁴
D. 4.38293 x 10³

Question 4

Which property of arithmetic is used in a(x+y) = ax + ay?

A. Associative
B. Commutative
C. Distributive
D. Initiative

Question 5

Subtract (7x-3) from (5-3x).

A. 10x-8
B. 4x-8
C. 8-10x
D. 2-10x

Question 6

The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

A. GH₵ 5.57
B. GH₵ 4.67
C. GH₵ 4.57
D. GH₵ 3.57

Question 7

Which of the following inequalities is represented on the number line?

A. -2 > y > 2
B. -2 ≤ y < 2
C. -2 ≥ y > 2
D. -2 < y ≤ 2

Question 8

Simplify: (2ab²)² x 3a³b.

A. 6a⁴b⁵
B. 12a³b⁴
C. 12a⁶b⁴
D. 12a⁵b⁵

Question 9

Which of the following polygons does not have a line of symmetry?

A. Kite
B. Isosceles triangle
C. Trapezium
D. Rhombus

Question 10

A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio set.

A. GH₵ 66.00
B. GH₵ 67.00
C. GH₵ 77.00
D. GH₵ 78.00

Question 11

Vera is 11 years old and her brother is 9 years old. They shared 60 oranges in the ratio of their ages. How many more oranges does Vera get?

A. 6
B. 27
C. 34
D. 39

Question 12

If (x-3)² = 16, find the positive value of x.

A. 1
B. 3
C. 4
D. 7

Question 13

Find the image of the point (-2,3) under a reflection in the y-axis.

A. (2,-3)
B. (-3,2)
C. (2,3)
D. (3,2)

Question 14

What fraction of 3 weeks is 18 days?

A. $\frac{1}{6}$
B. $\frac{6}{7}$
C. $\frac{1}{7}$
D. $\frac{9}{11}$

Question 15

What is the median of the following numbers: 4, 16, 13, 18, 3, 20, 6, 7, 15, 2, 10, 12?

A. 7
B. 10
C. 11
D. 12

Question 16

If \( \frac{w}{3} = 3(w-1)-1 \), find the value of w.

A. $\frac{3}{2}$
B. $\frac{5}{4}$
C. $\frac{3}{5}$
D. $\frac{1}{2}$

Question 17

Use the diagram below to answer the question 17 and 18

Find the value of x.

A. 68°
B. 75°
C. 112°
D. 124°

Question 18

Find the value of y.

A. 68°
B. 75°
C. 112°
D. 124°

Question 19

A car used 8 hours to travel from town A to town B at a speed of 18 km/h. Find the distance travelled.

A. 22.5 km
B. 135 km
C. 140 km
D. 144 km

Question 20

The pie chart shows the household budget of a family. Find the angle for INSURANCE AND TAXES.

A. 45°
B. 54°
C. 60°
D. 72°

Question 21

The pie chart shows the household budget of a family. If the family's income was GH₵ 40,000.00, how much was spent on clothing?

A. GH₵ 1,600.00
B. GH₵ 2,000.00
C. GH₵ 3,200.00
D. GH₵ 4,400.00

Question 22

Two sides of a parallelogram are 5.8 m and 8.2 m long. Find its perimeter.

A. 11.0 m
B. 36.6 m
C. 28.0 m
D. 47.6 m

Question 23

A man earned an interest of GH₵ 240.00 in 4 years at 20% per annum simple interest. Calculate the principal.

A. GH₵ 300.00
B. GH₵ 450.00
C. GH₵ 480.00
D. GH₵ 1,200.00

Question 24

A labourer worked for 20½ hours. If he was paid GH₵ 2.50 per hour, what was his total wage?

A. GH₵ 51.00
B. GH₵ 51.25
C. GH₵ 512.00
D. GH₵ 512.25

Question 25

If 480 pupils in a school are boys representing 80% of the school's enrolment. Find the total number of pupils in the school.

A. 384
B. 540
C. 600
D. 864

Question 26

What is the rule for the mapping?

A. x → 3x² - 1
B. x → 5x² - 3
C. x → x² + 1
D. x → 4x - 2

Question 27

Find the value of t in the diagram.

A. 12
B. 8
C. 4
D. 3

Question 28

Add the following numbers: 2.4, 0.042, 1.12, and 0.342.

A. 2.184
B. 3.904
C. 4.282
D. 6.200

Question 29

Solve: 4^x = 32.

A. 2$\frac{1}{2}$
B. 3$\frac{1}{2}$
C. 5
D. 7

Question 30

Find the equation of the straight line passing through the points (-3, 5) and (6, 8).

A. y = $\frac{1}{3}$x
B. y = $\frac{1}{3}$x + 6
C. y = $\frac{1}{3}$x - 10
D. y = $\frac{1}{3}$x + 14

Question 31

There are 15 females in a debating club. If the ratio of females to males is 3:2, how many members are in the club?

A. 6
B. 10
C. 22
D. 25

Question 32

If P¹(4, -5) is the image of P(x, y) translated by r = (-2, 3), find the values of x and y.

A. (-6, 8)
B. (-6, -8)
C. (6, -8)
D. (6, 8)

Question 33

If 2y = 1 - 3x² + 4x, find y when x = -1.

A. -3
B. -$\frac{1}{2}$
C. $\frac{1}{2}$
D. 3

Question 34

Given that p = {1,2,3,4,5,6,7,8,9,10,11,12}, what is the probability of selecting a prime number from the set?

A. $\frac{2}{3}$
B. 7$\frac{1}{2}$
C. $\frac{1}{2}$
D. 5$\frac{1}{2}$

Question 35

Solve: 3 - (3x+4) ≤ -4.

A. x ≤ 1
B. x ≥ 1
C. x ≥ 1$\frac{2}{3}$
D. x < 1$\frac{1}{2}$

Question 36

Two sides of a rectangle are 10 cm and 6 cm. Calculate the area of a square with the same perimeter as that of the rectangle.

A. 16 cm²
B. 30 cm²
C. 60 cm²
D. 64 cm²

Question 37

Make n the subject of the relation. $y=\frac{n-x}{x}$

A. n = x(y+1)
B. n = y(x+1)
C. $n=\frac{x}{y-1}$
D. $n=\frac{x}{y+1}$

Question 38

Expand and simplify: (a-2)(2a+3).

A. a² - a + 6
B. 2a² + 7a - 6
C. 2a² - a - 6
D. 2a² - 12a + 6

Question 39

Simplify 2² x 2⁷ ÷ 2⁴.

A. 2⁻¹
B. 2⁵
C. 2¹¹
D. 2¹³

Question 40

If P = {7,11,13} and Q = {9,11,13}, find P ∪ Q.

A. {7,9,11,13}
B. {7,9}
C. {11,13}
D. {9,13}