Question 1

Write 0.01723 in standard form.

A. \(0.01723 \times 10^-2\)
B. \(0.01723 \times 10^2\)
C. \(1.723 \times 10^-2\)
D. \(1.723 \times 10^2\)

Question 2

What is the value of 3x² + 2x - 7 when x = -3?

A. -40
B. -33
C. 14
D. 26

Question 3

Find the image of the point S(-2,2) when it is reflected in the y-axis.

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

Question 4

What is the actual bearing of S25°E?

A. 035°
B. 065°
C. 115°
D. 155°

Question 5

Given that \( m=\frac{b}{2} - t \), make t the subject.

A. \( t=\frac{b-2m}{2} \)
B. \( t=\frac{2m-b}{2} \)
C. \( t=\frac{2b-m}{2} \)
D. \( t=\frac{b+2m}{2} \)

Question 6

Expand (x - 2)(x + 4).

A. x² + 2x - 8
B. x² + 2x + 8
C. x² - 4x - 8
D. x² - x - 8

Question 7

If n(E) = 15, n(F) = 20 and n(E∩F) = 6, find n(E∪F).

A. 21
B. 26
C. 29
D. 35

Question 8

Tony shared \(\frac{2}{3} \) of his plot of land equally among his three sons. What fraction of the plot did each get?

A. \(\frac{2}{9} \)
B. \(\frac{1}{3} \)
C. \(\frac{1}{2} \)
D. \(\frac{5}{9} \)

Question 9

Araba and Ama share 20 oranges in such a way that Ama receives 12 oranges. Find the ratio of Araba's share to that of Ama.

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

Question 10

Solve: 3(x - 2) - x³ + 6 > 0.

A. x < 0
B. x > 0
C. x > 3
D. x > 18

Question 11

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below:

\(\begin{array}{|c|c|} \hline \text{Stem} & \text{Leaf} \\ \hline 2 & 0, 2, 5, 7, 8 \\ \hline 3 & 2, 7, 9 \\ \hline 4 & 3, 5, 5, 5 \\ \hline 5 & 4, 6, 6, 8 \\ \hline 6 & 3, 5, 7 \\ \hline 7 & 0, 6 \\ \hline \end{array} \)

What is the modal mark?

A. 35
B. 45
C. 56
D. 76

Question 12

How many students took the test?

A. 20
B. 21
C. 22
D. 27

Question 13

Find the median mark.

A. 45
B. 47
C. 54
D. 76

Question 14

Which of the following is an even prime number?

A. 2
B. 1
C. 4
D. 8

Question 15

If \(2n-5=\frac{1}{2}n \) , find the value of n.

A. 13
B. 12
C. 21
D. 31

Question 16

Find the simple interest on GH₵ 350.00 for 4 years at 5% per annum.

A. GH₵ 20.00
B. GH₵ 35.00
C. GH₵ 70.00
D. GH₵ 140.00

Question 17

A straight line passes through the points P(-5,-3) and Q(-4,-7). Find the gradient of the line PQ.

A. -4
B. \(-\frac{1}{4} \)
C. \(-\frac{1}{4} \)
D. 4

Question 18

Given that 1 kilometre = \(\frac{5}{8} \) mile, what is 240 miles in kilometres?

A. 150 km
B. 190 km
C. 384 km
D. 390 km

Question 19

John walks for \(22\frac{1}{2} \) minutes and runs for \(7\frac{1}{2} \) minutes to school. What percentage of the total time does he spend walking?

A. 25%
B. 30%
C. 75%
D. 33%

Question 20

Kobby is 5 years older than his brother. If Kobby is 13 years old, how old is his brother?

A. 7 years
B. 8 years
C. 10 years
D. 18 years

Question 21

Find the rule for the mapping:

\( \begin{array}{cccccc} x & 1 & 2 & 3 & 4 & 5 \\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow\\ y & 4 & 2 & 0 & -2 & -4 \\ \end{array} \)

A. y = 2x + 2
B. y = -2x + 2
C. y = 4x
D. y = -2x + 6

Question 22

Arrange the following numbers in ascending order: \(\frac{9}{5} \), 1.88, \(\frac{15}{8} \)

A. 1.88, \(\frac{9}{5} \), \(\frac{15}{8} \)
B. \(\frac{15}{8} \), 1.88, \(\frac{9}{5} \)
C. \(\frac{9}{5} \), \(\frac{15}{8} \), 1.88
D. \(\frac{9}{5} \), 1.88, \(\frac{15}{8} \)

Question 23

Simplify: (x - 1)² - 1.

A. x² - 2x
B. x² + 2x
C. x² - 2x - 1
D. x² - 2x + 1

Question 24

A bag contains 20 oranges of which 6 are bad. Find the probability of picking a good orange from the bag.

A. \(\frac{1}{20} \)
B. \(\frac{3}{10} \)
C. \(\frac{1}{6} \)
D. \(\frac{7}{10} \)

Question 25

In the diagram, AB is parallel to CD, Angle AGE is 80°, angle CFG = 5k and angle CFE = r.

What is the value of r?

A. 16°
B. 20°
C. 80°
D. 160°

Question 26

Find the value of k.

A. 16°
B. 20°
C. 80°
D. 160°

Question 27

Simplify: \(\left( 1 \frac{1}{2} - \frac{5}{6} \right) \times \frac{9}{10} \).

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

Question 28

Factorize 2pq + 6p - 6q - 18.

A. 2(p - 3)(q - 3)
B. 2(p + 3)(q + 3)
C. 2(p - 3)(q + 3)
D. 2(p + 3)(q - 3)

Question 29

The diagram is a square of side 2 cm in which is inscribed a circle with center O. Use the information to answer the question below. Find the area of the shaded portion. [\(\text{Take } \pi = \frac{22}{7}\)]

A. 0.86 cm²
B. 3.00 cm²
C. 6.28 cm²
D. 12.56 cm²

Question 30

Find the area of the circle. [Take π = \( \frac{22}{7}) \)]

A. 3.14 cm²
B. 6.28 cm²
C. 4.00 cm²
D. 12.56 cm²

Question 31

A man can take 12 hours to do a piece of work. How long will it take 6 men working at the same rate to do the work?

A. 6 hours
B. 3 hours
C. 2 hours
D. 72 hours

Question 32

Convert 12.03 metres to centimetres.

A. 0.1203 cm
B. 120.3 cm
C. 1203 cm
D. 12030 cm

Question 33

A quadrilateral with one pair of opposite sides parallel is called

A. kite
B. rectangle
C. square
D. trapezium

Question 34

A book was sold for GH₵ 48.00 at a profit of 20%. Find the cost price.

A. GH₵ 38.40
B. GH₵ 40.00
C. GH₵ 60.00
D. GH₵ 57.00

Question 35

Find the vector which translates the point (2,6) to (5,4).

A. \(\begin{pmatrix} -3 \\ 2 \end{pmatrix}\)
B. \(\begin{pmatrix} -1 \\ -4 \end{pmatrix}\)
C. \(\begin{pmatrix} 3 \\ -2 \end{pmatrix}\)
D. \(\begin{pmatrix} -7 \\ -10 \end{pmatrix}\)

Question 36

Cement and sand were mixed in the ratio 2:5. How many kilograms of cement was contained in the 35 kg of the mixture?

A. 7 kg
B. 10 kg
C. 14 kg
D. 28 kg

Question 37

Which of the following is not an integer?

A. 0
B. 1
C. 0.5
D. -5

Question 38

Simplify: \( \frac{5^7 \times 5^{-4}}{5^3} \).

A. 0
B. 1
C. 5
D. 25

Question 39

The height of a cylinder is 5 cm and the radius 7 cm. Find the volume of the cylinder. [\(\text{Take } \pi = \frac{22}{7}\)]

A. 770 cm³
B. 700 cm³
C. 154 cm³
D. 110 cm³

Question 40

If \( q=\begin{pmatrix} -2 \\ 3 \end{pmatrix}\) and \(r=\begin{pmatrix} 3 \\ -2 \end{pmatrix}\) find q - r.

A. \(\begin{pmatrix} -5 \\ 5 \end{pmatrix}\)
B. \(\begin{pmatrix} 5 \\ -5 \end{pmatrix}\)
C. \(\begin{pmatrix} -1 \\ 1 \end{pmatrix}\)
D. \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\)