OBJECTIVE TEST

Evaluate $\frac{1}{2}$ [(4 – 1) – (5 – 6)]

–4.0

1.0

2.0

3.0

4.0

The difference between two numbers is 168. If the smaller number is 113, find the other number.

223

271

281

291

Find the missing number in the following binary operation:

	1	1	0	0	1	1	0
-	*	*	*	*	*	*	*
		1	1	1	0	1	1

111011

101001

100011

101110

101011

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

48.0 m

34.6 m

24.0 m

17.3 m

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

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

Find the median mark.

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

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

2.20 kg

2.25 kg

2.35 kg

22.50 kg

Simplify: 2 × 3² × 3⁴

2 × 3⁵

2 × 3⁶

2 × 3⁸

2 × 9⁶

2 × 9⁸

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

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{5}{9}$

10.

If a number is selected at random from the table below, what is the probability that the number is 5?

Number	1	3	5	7	9
Frequency	25	15	8	10	2

$\frac{8}{25}$

$\frac{4}{25}$

$\frac{1}{12}$

$\frac{2}{15}$

$\frac{5}{8}$

11.

Remove the brackets: a – 2(b – 3c)

a – 2b – 3c

a – 2b - 6c

a – 2b + 6c

a + 2b + 6c

a – 2b + 3c

12.

A housing agent makes a commission of GH₵ 103,500 when he sells a house for GH₵ 690,000. Calculate the percentage of his commission.

15.0 %

10.0 %

7.5 %

5.0 %

13.

Triangle ABC is a right-angled triangle. Find the length of AC.

1 cm

5 cm

7 cm

12 cm

14.

Multiply 0.014 by 0.2

0.00028

0.0028

0.028

0.28

15.

Which of the following sets is equal to {1, 2, 3, 4}?

{2, 4, 1, 5}

{2, 1, 4, 3}

{1, 2, 3, 4, ...}

{2, 3, 4, 5, ...}

16.

Use the information below to answer the question below

The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9

Find the mean score.

4.50

5.75

6.00

8.75

10.00

17.

Simplify

-1

18.

If a trader made a profit of 10% in selling a shirt for GH₵ 44.00, find the cost price

GH₵ 39.60

GH₵ 38.50

GH₵ 48.40

GH₵ 40.00

19.

What is the value of 7 in the number 832713?

Seven thousand

Seven hundred

Seventy

Seven

20.

Express 34 m 5 cm 6 mm in millimetres.

3,456 mm

34,056 mm

34,506 mm

340,506 mm

21.

8 girls can weed a plot of land in 10 days. How many days will 5 girls take to weed the same plot of land, working at the same rate?

6 days

8 days

12 days

16 days

22.

In the diagram, P→P¹, Q→Q¹, R→R¹, where P¹Q¹R¹ is an enlargement.

If |PR| = 3.6 m, what is |P¹R¹|?

–7.2 m

–1.8 m

1.2 m

1.8 m

7.2 m

23.

Illustrate 3 < x < 5 on the number line, where x ∈ {rational numbers}.

24.

Arrange the following in ascending order of magnitude:

0.301,0.3,0.33,0.03.

0.03,0.3,0.301,0.33

0.03,0.301,0.3,0.33

0.33,0.3,0.301,0.03

0.33,0.301,0.3,0.03

25.

The least common multiple (L.C.M) of 16, 30 and 36 is

240

720

26.

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	0	1	4	9	16

What is the rule for the mapping above?

x→x + 3

x→x + 1

x→x - 1

x→x + 2

x→x²

27.

The instrument used to measure the angle between two lines that meet at a point is known as a

pair of compasses.

set-square.

protractor.

pair of dividers.

28.

Which of the following sets of angles form the interior angles of a right angled triangle?

{20°, 50°, 90°}

{80°, 60°, 90°}

{45°, 45°, 90°}

{65°, 90°, 35°}

29.

In which of the following constructions is P equidistant from the points A and B?

30.

An amount of money is shared between Kofi and Ama in the ratio 3 : 5. If Ama received ₵4,650.00, what is Kofi's share?

₵930.00

₵1,550.00

₵1,743.75

₵2,790.00

₵2,906.25

31.

E is the point (4, 2) and F the point (2, 1). Calculate the gradient of the straight line EF.

- $\frac{1}{2}$

-2

$\frac{1}{2}$

32.

Write 4687.02 in standard form.

46.8702 x 10³

46.8702 x 10⁴

4.68702 x 10⁵

4.68702 x 10³

0.468702 x 10⁴

33.

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

GH₵ 20.00

GH₵ 40.00

GH₵ 45.00

GH₵ 240.00

34.

If u = $(\begin{matrix} 2 \\ 1 \end{matrix})$ and v = $(\begin{matrix} -1 \\ 3 \end{matrix})$ , find 3u + 2v.

$(\begin{matrix} 8 \\ 9 \end{matrix})$

$(\begin{matrix} 4 \\ -2 \end{matrix})$

$(\begin{matrix} 4 \\ 0 \end{matrix})$

$(\begin{matrix} 4 \\ 9 \end{matrix})$

$(\begin{matrix} -4 \\ -9 \end{matrix})$

35.

Find k in the vector equation $(\begin{matrix} 3 \\ 4 \end{matrix})$ + k $(\begin{matrix} 3 \\ 4 \end{matrix})$ = - $(\begin{matrix} 3 \\ 4 \end{matrix})$ .

-3

-2

-1

- $\frac{3}{4}$

36.

If a = -4 and b = 3, evaluate $\frac{3a + 2b}{ab}$ .

$\frac{3}{2}$

$\frac{1}{2}$

- $\frac{3}{2}$

37.

Arrange the following fractions in ascending order: $\frac{5}{8}$ , $\frac{11}{20}$ , $\frac{7}{10}$ .

$\frac{5}{8}$ , $\frac{11}{20}$ , $\frac{7}{10}$

$\frac{7}{10}$ , $\frac{5}{8}$ , $\frac{11}{20}$

$\frac{11}{20}$ , $\frac{5}{8}$ , $\frac{7}{10}$

$\frac{5}{8}$ , $\frac{7}{10}$ , $\frac{11}{20}$

38.

The table below gives the ages of members of a juvenile club.

Use it to answer the question below

Age in years	8	9	10	11
Frequency	5	10	6	9

How many people are in the club?

39.

The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?

120

180

220

280

40.

A boy bought 3 pairs of socks at GH₵17.50 per a pair and paid with two GH₵50.00 notes. How much change was he given?

GH₵27.50

GH₵37.50

GH₵47.50

GH₵48.50

THEORY QUESTIONS

(a)

(i)

Using a scale of 2cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet.

(ii)

On the same graph sheet, mark the x-axis from –10 to 10 and the y-axes from –12 to 12.

(iii)

Plot the points A(0, 10), B(-6, -2), C(4, 3) and D(-3,-11).

Use a ruler to join the point A to B and also point C to D.

(b)

(i)

Draw the line x = -2 to meet AB at P and CD at Q.

(ii)

Use a protractor to measure angles BPQ and PQC.

(iii)

What is the common name given to angles BPQ and PQC?

(iv)

State the relationship between lines AB and CD.

An aeroplane left the Kotoka International Airport on Wednesday at 7:26 pm and reached its destination after nine hours thirty minutes. Find the day and the time the aeroplane reached its destination.

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet for -10 ≤ x ≤ 10 and -12 ≤ y ≤ 12.

Draw on this graph indicating the coordinates of all vertices, the quadrilateral ABCD with vertices A(0,10),B(-6,-2),C(-3,-11) and D(4,3).

iii

Draw the line x = -2 to meet AB at P and CD at Q.

Measure angles BPQ and PQD.

State the relationship between:

angles BPQ and PQD;

lines AB and CD.

(a)

A man deposited ₵350,000.00 in his account in a bank. A simple interest of 4% per annum was paid on his deposit. Calculate the total amount at the end of 4 years.

(b)

The cost of sending a telegram is ₵500 for the first 12 words and ₵25.00 for every extra word.

Find the cost of sending a telegram containing 20 words.

(a)

Anita bought 51 tubers of yam at 3 for GH₵10.00. If she sold them and made a loss of 40%, how much did she sell each tuber of yam?

(b)

The volume of a cylinder closed at one end is 1056 cm³. If its height is 21 cm, find its:

(i)

diameter;

(ii)

total surface area.

[Take π = $\frac{22}{7}$ ]

(a)

Using a ruler and a pair of compasses only,

(i)

Construct triangle PQR such that |PQ| = 6cm, |QR| = 4cm and angle PQR = 90°

(ii)

Construct the perpendicular bisectors of PQ and QR. Name the intersection O.

(iii)

Draw a circle O as centre and OQ as radius

(b)

Measure

(i)

|PR|

(ii)

angle QPR

In an examination 60 candidates passed Integrated Science or Mathematics. If 15 passed both subjects and 9 more passed Mathematics than Integrated Science, find the:
i) number of candidates who passed in each subject;
ii) probability that a candidate passed exactly one subject.

Factorize: xy + 6x + 3y + 18