Question 1

Given that A = {2,4,6,8,10} and B = {4,8,12}, find A ∪ B.

A. {4,8}
B. {2,8,12}
C. {4,6,8,12}
D. {2,4,6,8,10,12}

Question 2

Express 0.000344 in standard form.

A. 3.44 x 10⁻⁴
B. 3.44 x 10⁻⁵
C. 3.44 x 10⁻⁶
D. 3.44 x 10⁻³

Question 3

Which of the following numbers is the largest?

A. -70
B. -50
C. -3
D. -2

Question 4

Correct 0.024561 to three significant figures.

A. 0.03
B. 0.025
C. 0.0245
D. 0.0246

Question 5

Simplify: (7⁵x7³)÷7⁶

A. 79
B. 74
C. 73
D. 72

Question 6

How many lines of symmetry has a square?

A. 0
B. 1
C. 2
D. 4

Question 7

Solve the equation \( 10-\frac{x+3}{2}=8 \)

A. -9
B. -3
C. 1
D. 15

Question 8

Factorize: kx + 2xt - 4k - 8t.

A. (k - 2t)(x + 4)
B. (k + 2t)(x + 4)
C. (k + t)(x - 4)
D. (k + 2t)(x - 4)

Question 9

There are 12 boys and 18 girls in a class. Find the fraction of boys in the class.

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

Question 10

Express 30% as a fraction in its lowest term.

A. \(\frac{7}{10} \)
B. \(\frac{3}{20} \)
C. \(\frac{7}{20} \)
D. \(\frac{3}{10} \)

Question 11

Make k the subject of the relation, ky - k = y²

A. \( k = \frac{y^2}{y-1} \)
B. \( k = \frac{y^2}{y+1} \)
C. \( k = -\frac{y^2}{y+1} \)
D. \( k = \frac{y^2+1}{y-1} \)

Question 12

The mean of the numbers 5, 2x, 4 and 3 is 5. Find the value of x.

A. 3
B. 4
C. 5
D. 8

Question 13

Find the rule of the mapping

x 1 2  3  4  5

↓ ↓ ↓  ↓  ↓  ↓

y 3 1 -1 -3 -5

A. y = 2x + 2
B. y = -2x + 2
C. y = 4x
D. y = -2x + 5

Question 14

The two sides of a parallelogram are 4.8 m and 7.2 m long. Find its perimeter.

A. 48.0 m
B. 34.6 m
C. 24.0 m
D. 17.3 m

Question 15

A tank in the form of a cuboid has length 6 m and breadth 4 m. If the volume of the tank is 36 m³, find the height.

A. 0.67 m
B. 1.5 m
C. 1.8 m
D. 5.0 m

Question 16

If the bearing of A from B is 240°, find the bearing of B from A.

A. 040°
B. 060°
C. 120°
D. 300°

Question 17

Find the truth set of the inequality 2y + 5 < 4y - 5.

A. {y: y > 5}
B. {y: y < 5}
C. {y: y > 1}
D. {y: y > 0}

Question 18

Find the gradient of the straight line which passes through the points (-3, 4) and (3, -2).

A. 2
B. 1
C. -2
D. -1

Question 19

If 6:8 = r:48, find the value of r.

A. 36
B. 34
C. 14
D. 12

Question 20

Find ∠QPS in the diagram.

A. 70°
B. 40°
C. 35°
D. 20°

Question 21

A man travelled a distance of 8 km in an hour. How long will it take him to cover a distance of 12 km, travelling at the same speed?

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

Question 22

A number is selected at random from: 25, 26, 27, 28, ..., 35. Find the probability that the number selected is a prime number.

A. \(\frac{6}{11} \)
B. \(\frac{3}{11} \)
C. \(\frac{2}{11} \)
D. \(\frac{1}{11} \)

Question 23

Express 12/25 in decimal fraction.

A. 0.0408
B. 0.048
C. 0.408
D. 0.48

Question 24

Find the diameter of a circle whose circumference is 88 cm. [\(\text{Take } \pi = \frac{22}{7}\)]

A. 14 cm
B. 22 cm
C. 28 cm
D. 82 cm

Question 25

When twelve is subtracted from three times a certain number and the result is divided by four, the answer is eighteen. Find the number.

A. 84
B. 40
C. 28
D. 20

Question 26

In the diagram, line MN is parallel to line TU, line TS cuts line MN at O and ∠MOS = 115°. Find ∠OTU.

A. 65°
B. 55°
C. 45°
D. 25°

Question 27

Given that \(\mathbf{r} = \begin{pmatrix} -3 \\ -5 \end{pmatrix}\) and \(\mathbf{t} = \begin{pmatrix} 3 \\ -5 \end{pmatrix}\), find r + t

A.
B.
C.
D.

Question 28

A trader sold 90 oranges at 3 for GH₵ 0.75. How much did she get from selling all the oranges?

A. GH₵ 22.50
B. GH₵ 67.50
C. GH₵ 75.00
D. GH₵ 225.50

Question 29

Express 72 as a product of prime factors.

A. 2³ x 3²
B. 2² x 3³
C. 2² x 3²
D. 2 x 3

Question 30

Simplify: 3a x 24ab.

A. 27ab²
B. 27a²b
C. 72ab²
D. 72a²b

Question 31

Simplify: \( \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) + \( \begin{pmatrix} 1 \\ 5 \end{pmatrix}\)

A. \( \begin{pmatrix} -3 \\ 2 \end{pmatrix}\)
B. \( \begin{pmatrix} -1 \\ 2 \end{pmatrix}\)
C. \( \begin{pmatrix} -3 \\ 8 \end{pmatrix}\)
D. \( \begin{pmatrix} -1 \\ -2 \end{pmatrix}\)

Question 32

Multiply 247 by 32.

A. 7904
B. 6916
C. 7804
D. 1235

Question 33

Evaluate: (0.07 x 0.02) ÷ 14.

A. 0.0001
B. 0.001
C. 0.01
D. 0.00001

Question 34

In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?

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

Question 35

Express 30 minutes as a percentage of 3 hours 20 minutes.

A. 15%
B. 12.5%
C. 16⅔%
D. 20%

Question 36

Find the Least Common Multiple (L.C.M) of 2, 3, and 5.

A. 30
B. 6
C. 12
D. 24

Question 37

The simple interest on GH₵ 450.00 for 4 years is GH₵ 45.00, find the rate of interest.

A. 10%
B. 2.5%
C. 25%
D. 6.5%

Question 38

Find the median of the following numbers: 46, 68, 34, 37, 76, and 81.

A. 57
B. 68
C. 67
D. 35.5

Question 39

In the Venn diagram M and N are the subsets of the universal set U. Find M ∩ N.

A. {7}
B. {2,7}
C. {3,5,8}
D. {1,2,3,4,5,6,7,8,9}

Question 40

In the Venn diagram M and N are the subsets of the universal set U. How many members are in the set N?

A. 2
B. 3
C. 4
D. 6