Question 1

Which of the following is arranged in ascending order?

A. -25, -64, 4, 17
B. -64, -25, 4, 17
C. -64, -25, 17, 4
D. 17, 4, -25, -64

Question 2

If P = {x:x is an even number greater than two and less or equal to twelve}, list the members of P

A. {2, 4, 2, 8, 10, 12}
B. {3,4,6,8,10,12}
C. {2, 4, 6, 8, 10}
D. {4, 6, 8, 10, 12}

Question 3

Which of the following is an infinite set?

A. {1, 2, ..., 5, 6, 7}
B. {4, 6, 8, 10, 12}
C. {2, 3, 5, 7, 11, ...}
D. {3, 6, ..., 18, 21, ...33, 36}

Question 4

Find the H.C.F. of 18, 36 and 60.

A. 2² x 3² x 5
B. 2² x 3²
C. 2 x 3 x 5
D. 2 x 3

Question 5

Write two hundred and two million, two thousand, two hundred and two in figures.

A. 202,002,202
B. 202,020,202
C. 202,022,202
D. 202,200,202

Question 6

Find the least number that can be added to 207 to make the sum divisible by 17.

A. 3
B. 13
C. 14
D. 30

Question 7

If P = {factors of 36} and Q = {multiples of 4 less than 40}, find the number of subsets in P∩Q

A. 10
B. 8
C. 6
D. 4

Question 8

Find the L.C.M of 10, 15 and 25.

A. 90
B. 120
C. 150
D. 300

Question 9

Evaluate \( (\frac{2}{3}-\frac{1}{4})÷\frac{5}{6} \)

A. \(\frac{1}{2} \)
B. \(\frac{12}{25} \)
C. \(\frac{5}{12} \)
D. \(\frac{1}{5} \)

Question 10

Arrange \(\frac{2}{3} \),\(\frac{4}{9} \) and \(\frac{3}{7} \)in ascending order.

A. \(\frac{2}{3} \), \(\frac{3}{7} \),\(\frac{4}{9} \)
B. \(\frac{4}{9} \),\(\frac{3}{7} \) ,\(\frac{2}{3} \)
C. \(\frac{3}{7} \),\(\frac{2}{3} \) ,\(\frac{4}{9} \)
D. \(\frac{3}{7} \), \(\frac{4}{9} \),\(\frac{2}{3} \)

Question 11

Find the simple interest on GH₵ 600.00 saved for 2 years 8 months at 5% per annum.

A. GH₵ 64.00
B. GH₵ 80.00
C. GH₵ 84.00
D. GH₵ 92.00

Question 12

The number of girls in a mixed school is 420. If the ratio of boys to girls in the school is 3:2, how many students are in the school?

A. 1050
B. 1470
C. 1630
D. 1680

Question 13

Mary had a chance to select a number from 1 to 20 randomly. What is the probability that the number is divisible by 3?

A. \(\frac{3}{20} \)
B. \(\frac{1}{5} \)
C. \(\frac{3}{10} \)
D. \(\frac{7}{20} \)

Question 14

Ama bought a pair of sandals for GH₵ 20.00 and sold it at GH₵ 24.00. Find the percentage profit.

A. 4 %
B. 17 %
C. 20 %
D. 44 %

Question 15

8 men can do a piece of work in 12 days. How long will 6 men take to do the same work if they work at the same rate?

A. 14 days
B. 16 days
C. 18 days
D. 20 days

Question 16

In the diagram, QP is parallel to ST, angle QPR = 68° and angle SRT = 40°. Find the value of angle PQR.

A. 40°
B. 68°
C. 72°
D. 108°

Question 17

Find the value of angle TSR.

A. 40°
B. 68°
C. 72°
D. 112°

Question 18

A train is travelling at a speed of 60 km/h. What distance will it cover from 10:45 am to 12:15 pm?

A. 75 km
B. 87 km
C. 90 km
D. 150 km

Question 19

The perimeter of a rectangle is 26 cm. If its length is 10 cm, find its area.

A. 30 cm²
B. 60 cm²
C. 130 cm²
D. 160 cm²

Question 20

Find the slope of the line 3x - 6y = 33.

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

Question 21

If y = c + bx², find y when c = \(\frac{14}{5} \), b = \(\frac{4}{5} \) and x = 2.

A. 3
B. 4
C. 6
D. 7

Question 22

The volume of a cylinder is 20 π cm³. If the height of the cylinder is 5 cm, find the base radius.

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

Question 23

In the diagram, PQR is a right-angled triangle with |PR| = 15 cm and |QR| = 12 cm. Find the length PQ.

A. 3.0 cm
B. 8.0 cm
C. 9.0 cm
D. 19.2 cm

Question 24

How many edges has a triangular prism?

A. 3
B. 5
C. 6
D. 9

Question 25

Make m the subject of the relation: \(q = \frac{1}{3}(m + n)h\)

A. m = 3qh - n
B. m = 3q - hn
C. m = 3q + hn
D. m = 3qh + n

Question 26

Simplify 162 x 82

A. 210
B. 214
C. 215
D. 216

Question 27

Simplify: 4a - 9b - 2(2a - 3b).

A. 8a + 3b
B. 8a - 3b
C. -15b
D. -3b

Question 28

If \(\mathbf{u} = \begin{pmatrix} 3 \\ 1 \end{pmatrix}\) and \(\mathbf{v} = \begin{pmatrix} -2 \\ 1 \end{pmatrix}\), evaluate 6v + 2u.

A. \( \begin{pmatrix} -1 \\ 3 \end{pmatrix}\)
B. \( \begin{pmatrix} -6 \\ 8 \end{pmatrix}\)
C. \( \begin{pmatrix} 1 \\ 3 \end{pmatrix}\)
D. \( \begin{pmatrix} 6 \\ 8 \end{pmatrix}\)

Question 29

Find the image of the point (2,5) under the transformation \(\ \begin{pmatrix} x \\ y \end{pmatrix}\)→ \(\begin{pmatrix} x \\ 2-y \end{pmatrix}\).

A. (2,-3)
B. (2,2)
C. (2,3)
D. (2,7)

Question 30

Find the image of Q(-4,5) when rotated anticlockwise through 90° about the origin.

A. Q1(-5,4)
B. Q1(-5,-4)
C. Q1(4,-5)
D. Q1(4,5)

Question 31

The following data show the marks of students in a test: 10,4,1,4,3,3,2,1,1,7,8. If the pass mark is 4, find the number of students who scored more than the pass mark.

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

Question 32

Find the mean mark.

A. 3
B. 4
C. 7
D. 8

Question 33

How many lines of symmetry has a rhombus?

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

Question 34

In an enlargement length AB = 3 cm and the length of its image A₁ B₁ = 15 cm. Calculate the scale factor.

A. \(\frac{1}{5} \)
B. \(\frac{2}{3} \)
C. 5
D. 12

Question 35

Find the rule of the mapping:

x   0   3   6   9   12

↓   ↓   ↓   ↓    ↓    ↓

y -2   4   10   16   22

A. y → \(\frac{x}{2} \) - 2
B. y → x - 2
C. y → x² - 2
D. y → 2x - 2

Question 36

Solve the inequality: \(\frac{1}{2} \)(3x - 1) + 1 ≤ 7 + 2x.

A. x ≥ -14
B. x ≤ -14
C. x ≥ -13
D. x ≤ -13

Question 37

If 4 - x = 3(4x + 5), find the value of x.

A. \(\frac{11}{13} \)
B. \(1\frac{6}{13} \)
C. \(-1\frac{6}{13} \)
D. \(\frac{-11}{13} \)

Question 38

In a class, there are 12 girls and 48 boys. Find the percentage of boys in the class.

A. 20%
B. 40%
C. 60%
D. 80%

Question 39

The bearing of P from Q is 060°. Find the bearing of Q from P.

A. 120°
B. 150°
C. 210°
D. 240°

Question 40

Which of the following statements best describes the construction below?

A. Construction of line AB from P.
B. Construction of perpendicular from P to meet line AB.
C. Construction of an arc of a circle with center P.
D. Construction of the bisector of line AB.