Question 1

If Q = {1,3,5,7,9,10,11,13,15} and T = {1,2,3,5,6,7,10,11,12}, find Q ∪ T.

A. {1,2,3,5,7,10,11}
B. {1,3,5,7,9,11,13,15}
C. {1,2,3,4,5,6,7,8,9,10,11,12,13}
D. {1,2,3,5,6,7,9,10,11,12,13,15}

Question 2

If 21:2x = 7:12, find the value of x.

A. 10
B. 12
C. 15
D. 18

Question 3

Given that, \(\frac{1}{2p}= \frac{1}{8} \) find the value of p.

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

Question 4

Simplify 3q x 12pq.

A. 15pq²
B. 15p²q
C. 36pq²
D. 36p²q

Question 5

If A = {2,6,8} and B = {4,6,8,10}, which of the following statements is true?

A. A ⊂ B
B. A ∩ B = {2,6,8}
C. A ∪ B = {2,4,6,8,10}
D. A ⊃ B

Question 6

Find the product of 4xy⁴ and x²yz.

A. 4x³y⁴z
B. 4x³y⁵z
C. 4x²y⁴z
D. 4x²y⁴

Question 7

The sum of the interior angles of a regular polygon with 10 sides is:

A. 144°
B. 900°
C. 1,440°
D. 1,800°

Question 8

Solve: \( 2 +\frac{x}{3}=1-2x \)

A. \( -1\frac{2}{7} \)
B. \( -\frac{3}{7} \)
C. \( \frac{3}{7} \)
D. \( 1\frac{2}{7} \)

Question 9

The ages of the members of a social club are 20 years, 55 years, 60 years, and 25 years. Find the mean age of the members of the club.

A. 20 years
B. 30 years
C. 40 years
D. 50 years

Question 10

Evelyn saved GH₵ 35.48 every month for 8 months. How much did she save?

A. GH₵ 183.60
B. GH₵ 280.63
C. GH₵ 283.20
D. GH₵ 283.84

Question 11

Evaluate: \( \frac{0.00492}{0.041} \)

A. 0.012
B. 0.12
C. 1.2
D. 12.0

Question 12

A woman deposited an amount of GH₵ 50,000.00 at a bank for 2 years at a rate of 20% per annum. Find the simple interest.

A. GH₵ 1,000.00
B. GH₵ 2,000.00
C. GH₵ 10,000.00
D. GH₵ 20,000.00

Question 13

What is the total cost of x shirts at GH₵ 5.00 each and y shirts at GH₵ 1.50 each?

A. 5x + 1.5y
B. 5y + 1.5x
C. 5(x + 1.5y)
D. 1.5(5x + y)

Question 14

At a meeting attended by 23 people, the females were 7 more than the males. How many males were there?

A. 8
B. 15
C. 16
D. 30

Question 15

Find the value of x in the diagram.

A. 28°
B. 30°
C. 34°
D. 60°

Question 16

How many lines of symmetry does a rhombus have?

A. 2
B. 3
C. 4
D. 5

Question 17

In 1995, 215 boys and 185 girls were admitted into a Senior Secondary School. Find, correct to the nearest whole number, the percentage of girls admitted.

A. 46%
B. 47%
C. 53%
D. 54%

Question 18

Simplify: \( \frac{2(u-v)(2u+3v)}{(4u+6v)} \)

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

Question 19

Solve 25x + 450 ≤ 3000.

A. x ≥ 102
B. x ≤ 102
C. x ≥ 138
D. x ≤ 138

Question 20

Given that \(\mathbf{a} = \begin{pmatrix} 4 \\ 6 \end{pmatrix}\) and \(\mathbf{b} = \begin{pmatrix} -4 \\ 6 \end{pmatrix}\), find a + b.

A. \(\begin{pmatrix} 0 \\ 0 \end{pmatrix}\)
B. \(\begin{pmatrix} -8 \\ 12 \end{pmatrix}\)
C. \(\begin{pmatrix} 8 \\ -12 \end{pmatrix}\)
D. \(\begin{pmatrix} 8 \\ 0 \end{pmatrix}\)

Question 21

Mr. Agyekum has 11 of the GH₵ 20.00 notes, 15 of the GH₵ 10.00 notes, and 6 of the GH₵ 5.00 notes. How much does Mr. Agyekum have altogether?

A. GH₵ 280.00
B. GH₵ 320.00
C. GH₵ 360.00
D. GH₵ 400.00

Question 22

A man travelled a distance of 1.5 km in 30 minutes. What distance can he cover in 50 minutes, travelling at the same speed?

A. 2.2 km
B. 2.5 km
C. 2.8 km
D. 3.2 km

Question 23

In the diagram, UVW is an isosceles triangle. |UV| = |UW| and angle VUW = 70°. Find angle UVW.

A. 70°
B. 60°
C. 55°
D. 35°

Question 24

Arrange the following in descending order: \(\frac{7}{20} \), (\frac{7}{25} \), (\frac{37}{100} \), (\frac{1}{4} \)

A. (\frac{37}{100} \),(\frac{7}{20} \), (\frac{7}{25} \), (\frac{1}{4} \)
B. (\frac{1}{4} \),(\frac{7}{25} \),(\frac{7}{20} \), (\frac{37}{100} \)
C. (\frac{37}{100} \),(\frac{7}{20} \),(\frac{1}{4} \),(\frac{7}{25} \)
D. (\frac{7}{25} \),(\frac{1}{4} \) ,(\frac{7}{20} \), (\frac{37}{100} \)

Question 25

The point D (4,3) is reflected in the y-axis. Find the coordinates of its image.

A. (-4,-3)
B. (-3,4)
C. (-4,3)
D. (3,-4)

Question 26

Simplify: \( 7\frac{1}{2}× (\frac{1}{4} ÷\frac{1}{2}) - \frac{1}{4} \)

A. \(\frac{7}{2} \)
B. \(\frac{11}{16} \)
C. \(\frac{7}{32} \)
D. \(\frac{1}{2} \)

Question 27

Divide 64.5 by 0.015, leaving the answer in standard form.

A. 4.3 x 10⁴
B. 4.3 x 10³
C. 4.3 x 10²
D. 4.3 x 10

Question 28

The point Q(-2,3) is rotated anticlockwise about the origin through an angle of 90°. Find the coordinates of its image.

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

Question 29

Elias bought five books. Their mean price was GH₵ 3.25. The total cost for four of the books was GH₵ 11.75. What was the cost of the fifth book?

A. GH₵ 3.50
B. GH₵ 4.00
C. GH₵ 4.20
D. GH₵ 4.50

Question 30

Tins of milk each of volume 77 cm³ and weight 170 g were packed into an empty carton of volume 1540 cm³ and weight 500 g. How many tins of milk can be packed to fill the carton?

A. 2
B. 3
C. 20
D. 22

Question 31

Tins of milk each of volume 77 cm³ and weight 170 g were packed into an empty carton of volume 1540 cm³ and weight 500 g. What is the weight of the carton when packed with the tins of milk?

A. 2.06 kg
B. 2.94 kg
C. 3.90 kg
D. 8.50 kg

Question 32

A piece of cloth is 8.4 m long. If 30 cm is needed to sew a napkin, how many napkins can be sewn from this piece of cloth?

A. 20
B. 25
C. 28
D. 30

Question 33

Express (\frac{10}{32} \) as a decimal fraction.

A. 0.3200
B. 0.3125
C. 0.3676
D. 0.3222

Question 34

A match box contains 40 sticks. If 15 of them are spoilt, find the probability that a stick chosen at random is not spoilt?

A. \(\frac{3}{5} \)
B. \(\frac{3}{8} \)
C. \(\frac{5}{8} \)
D. \(\frac{2}{5} \)

Question 35

The number of pupils who attended hospital from eight classes on a particular day are: 1, 5, 3, 1, 7, 5, 1, 1. Find the median number.

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

Question 36

The number of pupils who attended hospital from eight classes on a particular day are: 1, 5, 3, 1, 7, 5, 1, 1. What is the modal number?

A. 1
B. 4
C. 5
D. 7

Question 37

The number of pupils who attended hospital from eight classes on a particular day are: 1, 5, 3, 1, 7, 5, 1, 1. Calculate the mean.

A. 2
B. 3
C. 4
D. 5

Question 38

The distance from the centre of a circle to any point on it is called:

A. circumference.
B. diameter.
C. radius.
D. sector.

Question 39

Express 1352 as a product of prime factors.

A. 2³ x 13³
B. 2³ x 13²
C. 2² x 13³
D. 2² x 13²

Question 40

Which of the following statements about sets is true?

A. Every set is a subset of the null set.
B. The universal set is the subset of the null set.
C. The intersection of two sets is always the null set.
D. The universal set is the union of all its subsets.