Question 1

Which of the following sets is well defined?

A. {Man, Kofi, Red, 14}
B. {Ink, Mango, Green, Nail}
C. {Car, Road, Glass, Book}
D. {Seth, Mary, Jacob, Evelyn}

Question 2

If set B is a subset of set A, then

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

Question 3

The least common multiple (L.C.M) of 16, 30 and 36 is

A. 3
B. 6
C. 240
D. 720

Question 4

The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.

A. 8
B. 7
C. 2 1 4
D. -3 4 13

Question 5

The numbers 32, 33, 34, ..., ..., 42 form a sequence in base 5. Find the missing numbers.

A. 35, 36
B. 30,31
C. 40, 41
D. 31, 41

Question 6

Write down all the integers in the set A = {-10, -4, 0, 1 4 , 2 1 4 , 45, 100}

A. {-10, -4, 0, 45, 100}
B. {-10, -4}
C. {0, 45, 100}
D. {1 4, 2 1 4}

Question 7

Find the total cost of 25 pens and 75 books if each pen costs GH₵ 0.20 and each book costs GH₵ 0.30.

A. GH₵ 22.50
B. GH₵ 23.50
C. GH₵ 27.50
D. GH₵ 50.00

Question 8

Simplify: -27 + 18 - (10 - 14) - (-2)

A. -3
B. -7
C. -11
D. -35

Question 9

Arrange the following numbers from the lowest to the highest: 0.5, 3, -5, 0.

A. 0, 0.5, -5, 3
B. 0, -5, 0.5, 3
C. -5, 0, 0.5, 3
D. -5, 0.5, 0, 3

Question 10

Find how many pieces of cloth \( 5 \frac{1}{2} \)m long that can be cut from a roll of cloth 121 m long.

A. \( 665 \frac{1}{2} \)
B. \( 115 \frac{1}{2} \)
C. 66
D. 22

Question 11

Find the value of \(124.3 + 0.275 + 74.06\), correcting your answer to one decimal place.

A. 198.6
B. 198.7
C. 892.0
D. 892.4

Question 12

Esi and Kwasi are 12 and 8 years old respectively. They share 60 mangoes in the ratio of their ages. How many mangoes does Esi get?

A. 42
B. 40
C. 36
D. 18

Question 13

It takes 6 students 1 hour to sweep their school compound. How long will it take 15 students to sweep the same compound?

A. 24 minutes
B. 12 minutes
C. 3 hours
D. 2 hours

Question 14

A housing agent makes a commission of GH₵ 103,500 when he sells a house for GH₵ 690,000. Calculate the percentage of his commission.

A. 15.0 %
B. 10.0 %
C. 7.5 %
D. 5.0 %

Question 15

A simple interest of GH₵ 37,500.00 is earned on an amount of GH₵ 500,000.00 for 3 years. Calculate the percentage rate.

A. 20.0 %
B. 10.0 %
C. 5.0 %
D. 2.5 %

Question 16

Simplify: \( (8x^2y^3) \left(\frac{3}{8}xy^4\right) \)

A. \( 3x^3 y^7 \)
B. \( 3x^2 y^7 \)
C. \( 3x^3 y^4 \)
D. \( 3xy \)

Question 17

The scores of 10 students in an examination are given as follows: 45, 12, 75, 81, 54, 51, 24, 67, 19 and 39. What is the median of the scores?

A. 39
B. 48
C. 51
D. 54

Question 18

The pie chart is to be drawn from the data in the following table:

Crop Percentage Cassava 20% Yam 17% Plantain 28% Maize 35%

What will be the value of the angle of the sector for maize?

A. \( 126.0^\circ \).
B. \( 100.8^\circ \).
C. \( 72.0^\circ \).
D. \( 61.0^\circ \).

Question 19

Eighteen cards are numbered from 11 to 29. If one card is chosen at random, what is the probability that it contains the digit 2?

A. \( \frac{3}{9} \)
B. \( \frac{7}{18} \)
C. \( \frac{5}{9} \)
D. \( \frac{11}{19} \)

Question 20

Find the value of \( x \), if \( \frac{x}{4} + 1 = 5 \).

A. 24
B. 20
C. 19
D. 16

Question 21

Factorize: \( xy + 5x + 2y + 10 \).

A. \( (x + 5)(2y + 10)\)
B. \( (x + 2)(y + 10)\)
C. \( (x + 5)(y + 2)\)
D. \( (x + 2)(y + 5)\)

Question 22

If x ∈ {2, 3, 4, 5}, find the truth set of \(2x + 1 < 8 \)

A. {2, 3, 4}
B. {2, 3}
C. {3, 4}
D. {4, 5}

Question 23

Solve the inequality: \( 7x - (10x + 3) ≥ -9 \)

A. \(x ≥ 2\)
B. \(x ≤ 4\)
C. \(x ≥ 4\)
D. \(x ≤ 2\)

Question 24

Find the rule of the mapping: \( \begin{array}{cccccc|c} 1 & 2 & 3 & 4 & 5 & \cdots & x \\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & & \downarrow \\ 7 & 11 & 15 & 19 & 23 & \cdots & y \end{array} \)

A. \(x → 4x - 3\)
B. \(x → 3 - 4x\)
C. \(x → 4x + 3\)
D. \(x → 4x + 5\)

Question 25

Find the circumference of a circle whose area is equal to \( 64 \pi \, \text{cm}^2 \).

A. \( 32 \pi \, \text{cm} \)
B. \( 16 \pi \, \text{cm} \)
C. \( 8 \pi \, \text{cm} \)
D. \( 4 \pi \, \text{cm} \)

Question 26

Which of the following geometric figures is the plane shape of a cube?

A. Circle
B. Rectangle
C. Square
D. Triangle

Question 27

How many lines of symmetry has a rectangle?

A. 4
B. 3
C. 2
D. 1

Question 28

A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

A. 120
B. 60
C. 30
D. 15

Question 29

The interior angle of a regular polygon is 120°. How many sides has the polygon?

A. 3
B. 4
C. 5
D. 6

Question 30

In the diagram above, length of PS = Length of SQ and angle SQR = 112°. Find the value of x.

A. 68°
B. 56°
C. 46°
D. 44°

Question 31

XYZ is a right-angled triangle with length of sides as shown. Which of the following equations gives the value of z²?

A. \(z² = (x² + y²) \)
B. \(z² = (x - y) \)
C. \(z² = (y² - y²) \)
D. \(z² = (x² - y²) \)

Question 32

Express 7 min. 30 sec. as a percentage of 1 hour.

A. 2.5%
B. 7.5%
C. 11.7%
D. 12.5%

Question 33

The point (4, 5) is translated to the point (3, 1). What is the translation vector?

A. \( \begin{pmatrix} -1 \\ 4 \end{pmatrix} \)
B. \( \begin{pmatrix} 1 \\ 4 \end{pmatrix} \)
C. \( \begin{pmatrix} 1 \\ -4 \end{pmatrix} \)
D. \( \begin{pmatrix} -1 \\ -4 \end{pmatrix} \)

Question 34

In the diagram below, triangle QRT is the enlargement of QST.

Which side of triangle QRT corresponds to side QT of triangle QST?

A. TS
B. TR
C. QR
D. SR

Question 35

In the diagrams above Fig. I is an enlargement of Fig. II. Find the side EF of Fig. II.

A. 20 cm
B. 5 cm
C. 4 cm
D. 3 cm

Question 36

Express 4037 in standard form.

A. \( 4.037 \times 10^{-4} \)
B. \( 4.037 \times 10^{-3} \)
C. \( 4.037 \times 10^{3} \)
D. \( 4.037 \times 10^{4} \)

Question 37

Which of the following angles can be constructed by using the arcs at point C in the diagram below?

A. 30°
B. 45°
C. 60°
D. 75°

Question 38

Given that vector \( \mathbf{a} = \begin{pmatrix} -5 \\ 12 \end{pmatrix} \) and \( \mathbf{b} = \begin{pmatrix} 10x \\ 12 \end{pmatrix} \). Find the value of x if \( a = b\).

A. -2
B. \( -\frac{1}{2} \)
C. \( \frac{1}{2} \)
D. 2

Question 39

In the diagram above, the bearing of point B from A is

A. 340°
B. 220°
C. 140°
D. 50°

Question 40

Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.

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