Question 1

Two brands of air conditioners S and T cost GH₵ 3,000.00 and GH₵ 4,000.00 respectively. A company budgeted GH₵ 20,000.00 to buy air conditioners. If the company bought 5 units of brand S instead of brand T, how much did it save?

GH₵ 1,000.00
GH₵ 5,000.00
GH₵ 20,000.00
GH₵ 15,000.00

Question 2

Zalia and Amina shared an amount of money in the ratio 2 : 5. If Amina had GH₵ 150.00 more than Zalia, how much did they share?

GH₵ 100.00
GH₵ 250.00
GH₵ 450.00
GH₵ 350.00

Question 3

Which of the following is an example of quantitative data?

Colour
Gender
Marital status
Length

Question 4

In the diagram, P and Q are two sets and U is the universal set. Use the information to answer the question below. Find P ∩ Q.

{c, d, e}
{a, b}
{c, b, c, d, e}
{f, g, h}

Question 5

How many members are in set Q?

2
3
8
5

Question 6

Amadu walked to a point such that he is always the same distance from two villages P and Q. Which of the following best describes the locus of Amadu?

An arc passing through line PQ
A circle passing through line PQ
Straight line PQ
Perpendicular bisector of line PQ

Question 7

A bag of rice weighs 2 kg. If the empty bag weighs 150 g, find the weight of the rice. [1 kg = 1,000 g]

0.175 kg
0.185 kg
1.850 kg
1.750 kg

Question 8

Andrews drew three lines such that the length of the first one is 10 cm, the second is 15 cm longer than the first one and the third is 9 cm less than the second. Find the length of the third line.

4 cm
14 cm
34 cm
16 cm

Question 9

Find the truth set of 2x - 4 < 6 + 3x.

{x : x < 2}
{x : x > -2}
{x : x > -10}
{x : x < 10}

Question 10

The locus of points equidistant from a fixed point is called a

chord
circle
mediator
diameter

Question 11

Evaluate: √75 + √18 - √27.

2√3 - 3√2
2√3 + 3√2
√6
5√6

Question 12

In the diagram, line PQ is parallel to line ST. Find the value of the angle marked x.

140°
220°
290°
285°

Question 13

A hawker is carrying a basket load of three types of fruits: oranges, mangoes and pears. If \(\frac{2}{5} \) of the fruits are oranges and \(\frac{6}{25} \) mangoes, what percentage of the fruits are pears?

9 %
18 %
64 %
36 %

Question 14

The diagram shows the graph of a linear relation of the form y = mx + c. Use the graph to answer the question below. Find the slope of the relation.

-2
-1
2
1

Question 15

Find the equation of the relation.

y = -2x + 3
y = -2x + 2
y = 2x + 3
y = 2x - 3

Question 16

Araba is 3 years younger than her sister. If the sum of their ages is 17 years, find Araba's age.

7 years
8 years
10 years
9 years

Question 17

A number of oranges are shared among 50 students and each got 15 oranges. If the same number of oranges are shared equally among 30 students, how many will each student get?

13
15
25
20

Question 18

If the bearing of Q from P is 120°, find the bearing of P from Q.

060°
210°
300°
240°

Question 19

Given the vectors \( m=\begin{pmatrix} -2 \\ -3 \end{pmatrix}\) and \(n=\begin{pmatrix} -2 \\ -3 \end{pmatrix}\), find 2m + n.

\(\begin{pmatrix} 6 \\ 0 \end{pmatrix}\)
\(\begin{pmatrix} -6 \\ 0 \end{pmatrix}\)
\(\begin{pmatrix} 0 \\ 6 \end{pmatrix}\)
\(\begin{pmatrix} 0 \\ -6 \end{pmatrix}\)

Question 20

Simplify: \(\frac{27^{m+1}}{3^{m+2}} \)

\( 3^{2m} \)
\( 3^{2m-1} \)
\( 3^{2m+2} \)
\( 3^{2m+1} \)

Question 21

There are 15 white and 25 black identical balls in a box. If a ball is selected at random from the box, find the probability that it is white.

\(\frac{1}{25} \)
\(\frac{1}{15} \)
\(\frac{3}{8} \)
\(\frac{5}{8} \)

Question 22

The area of a rectangle is 18 cm². If the width is 2 cm, find its perimeter.

18 cm
20 cm
36 cm
22 cm

Question 23

Find the interest on GH₵ 400.00 for 2 years at 10% simple interest per annum.

GH₵ 8.00
GH₵ 40.00
GH₵ 80.00
GH₵ 60.00

Question 24

One of the factors of the expression 4m² + 12m - 8m - 24 is (4m - 8). Find the other factor.

m - 3
m + 3
2m + 3
2m - 3

Question 25

An article which cost GH₵ 600.00 was sold at a discount of 10%. Find the selling price.

GH₵ 60.00
GH₵ 504.00
GH₵ 560.00
GH₵ 540.00

Question 26

Make m the subject of the relation \(\frac{1}{m} = \frac{1}{p} + \frac{1}{r} \) .

\( m = \frac{pr}{r + p} \)
\( m = \frac{pr}{r - p} \)
\( m = \frac{r-p}{pr} \)
\( m = \frac{r+p}{pr} \)

Question 27

The point P(-2, 3) is translated by a vector \(\begin{pmatrix} -1 \\ 3 \end{pmatrix}\) to a point R. Find the coordinates of R.

(6, -2)
(-3, 6)
(-3, -6)
(-1, 0)

Question 28

A frog leaps in such a way that its distance, in metres, from its starting position after each leap is given by 4, 7, 10, ...

Find its distance from the starting position after the 10th leap.

28
31
37
34

Question 29

A bus departed from Elmina at 9:15 pm and arrived in Accra at 2:45 am the next day. How long did the journey take?

4 hours 20 minutes
4 hours 30 minutes
5 hours 30 minutes
5 hours 20 minutes

Question 30

Simplify: 3x - 2(3 + 2x) + x(2x + 4).

2x² + 11x - 6
2x² + 3x - 6
2x² - 4x - 6
2x² + 4x - 6

Question 31

In the diagram, ∠ QPR = 30° and |QR| = 5 cm. [Take sin 30° = \(\frac{1}{})]. Find the length of PQ.

2.5 cm
5.0 cm
12.0 cm
10.0 cm

Question 32

A fair coin and a fair die are rolled together once. Find the probability of obtaining a tail and an odd number.

\(\frac{1}{4}\)
\(\frac{1}{3}\)
\(\frac{}{3}\)
\(\frac{1}{2}\)

Question 33

If the gradient of a straight line is zero, then the line:

is vertical.
is horizontal.
falls to the right.
rises to the right.

Question 34

Madam Nancy wants to know which of the teachers in her school is liked best by most of the students. Which of the following methods is most suitable for collecting the data?

Experiment
Database
Questionnaire
Observation

Question 35

Mensah packed 1,800 apples into a number of boxes. If each box contained 120 apples, how many boxes were fully packed?

15
16
18
17

Question 36

The cost of three items at a shop are GH₵ 72.00, GH₵ 1,105.00 and GH₵ 216.00. If a customer bought all the three items and received a change of GH₵ 107.00, how much did he initially give the shopkeeper?

GH₵ 1,300.00
GH₵ 1,400.00
GH₵ 2,000.00
GH₵ 1,500.00

Question 37

The table shows the results when a student tossed a die many times.

\( \begin{array}{|c|c|} \hline \text{Number on Die} & \text{Frequency} \\ \hline 1 & 4 \\ 2 & 3 \\ 3 & 3 \\ 4 & 2 \\ 5 & 3 \\ 6 & 5 \\ \hline \end{array} \)

Find the mode.

6
5
3
4

Question 38

How many times did the student throw the die?

6
18
21
20

Question 39

Find the image of the point (-3, 5) when it is rotated through 360° about the origin.

(5, -3)
(-3, 5)
(-5, 3)
(-3, -5)

Question 40

A story book contains 50 pages. If a student reads 10 pages per hour, find the relationship between the number of unread pages (N) and time (t).

N = 10t + 50
N = -10t + 50
\(N =-\frac{1}{10}t + 5\)
N = 10t - 50