OBJECTIVE TEST

The figure above is the net of

a cylinder

a triangle

a pyramid

a cone

a sphere

If a = $(\begin{matrix} 2 \\ 4 \end{matrix})$ and b = $(\begin{matrix} -3 \\ 2 \end{matrix})$ , find 2a - b.

$(\begin{matrix} 1 \\ 6 \end{matrix})$

$(\begin{matrix} 7 \\ 6 \end{matrix})$

$(\begin{matrix} 1 \\ 10 \end{matrix})$

$(\begin{matrix} 7 \\ 10 \end{matrix})$

Simplify 3(5a² + 2c) - 2a(1 - 3a) - 6c.

21a² - 2a - 6c

13a² - 2a - 12c

13a² - 2a

21a² - 2a

If r = $\frac{m + 1}{m - 2}$ , express m in terms of r.

m = $\frac{2r + 1}{r - 1}$

m = $\frac{2r + 1}{r + 1}$

m = $\frac{2r - 1}{r - 1}$

m = $\frac{2r - 1}{r + 1}$

If 13x – 12 = 5x + 60, find x

–9

–6

Write 3560 in standard form.

3.56 x 10^-4

3.56 x 10^-3

3.56 x 10³

3.56 x 10⁴

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

Correct 0.00025 to one significant figure.

0.2

0.003

0.0002

0.0003

The perimeter of the figure below is 71 cm. Find the diameter of the semi-circumference portion.

[Take π = $\frac{22}{7}$ ]

1.0 cm

3.5 cm

7.0 cm

14.0 cm

10.

In the diagram below, K is an enlargement of J. Use it to answer the question below.

Find the value of x.

3.0 m

3.5 m

4.5 m

6.0 m

9.0 m

11.

Kojo can buy 15 shirts at GH₵4.00 each. If the price is increased to GH₵5.00, how many shirts can he now buy?

12.

If x →3x – 4, what is the image of –2?

–10

–2

–1

13.

Convert 134_five to a base ten numeral

220

14.

The sum of the interior angles of a regular polygon with 10 sides is

144^o.

900^o.

1,440^o.

1,800^o.

15.

Araba bought an electric cooker for ₵540,000.00 at a discount of 10%. Find the actual price of the electric cooker.

₵469,000.00

₵496,000.00

₵594,000.00

₵600,000.00

₵605,000.00

16.

Express 3.75 as a mixed fraction.

3 $\frac{1}{5}$

3 $\frac{1}{4}$

3 $\frac{1}{3}$

3 $\frac{3}{4}$

17.

A match box contains 40 sticks. If 15 of them are spolit, find the probability that a stick chosen at random is not spoilt?

18.

Simplify: 7a – 3(b – a)

4a – 3b

6a – 3b

8a – 3b

10a – 3b

10a + 3b

19.

Which of the following is the largest set?

{Whole numbers}

{Composite}

{Natural numbers}

{Integers}

20.

Use the information below to answer the question below

In the diagram above, the cylinder has diameter 4 cm and length 14 cm.

[Take π = $\frac{22}{7}$ ]

The area of the base is

176 cm²

44 cm²

$\frac{176}{7}$ cm²

$\frac{88}{7}$ cm²

$\frac{44}{7}$ cm²

21.

Simplify 2⁸ ÷ 2³

2²⁴

2¹⁰

2⁵

2³

22.

The pie chart above shows the distribution of 360 pupils to various houses in a school.

Use it to answer the question below

How many more students are in Yellow House than in Blue House?

100

23.

Charles and Helen started a business with an amount of GH₵ 7,000.00. If their contributions were in the ratio 4:3 respectively, find Helen's contribution.

GH₵ 2,500.00

GH₵ 3,000.00

GH₵ 4,000.00

GH₵ 5,000.00

24.

A bottle of soft drink costs ₵200.00. The commission paid on one bottle is 2% of the cost price. Find the commission paid on 24 bottles of the soft drink.

₵96.00

₵296.00

₵400.00

₵4,704.00

₵4,800.00

25.

What is the value of four in the number 7073.48?

four tenth

four

forty

four hundred

26.

Remove the brackets: a – 2(b – 3c)

a – 2b – 3c

a – 2b - 6c

a – 2b + 6c

a + 2b + 6c

a – 2b + 3c

27.

Simplify: -15 - (-20) + (-10).

-45

-5

-25

28.

The price of a gas cooker costing ₵450,000.00 was increased by 10%. Find its new price.

₵45,000.00

₵49,000.00

₵405,000.00

₵495,000.00

29.

The length of a rectangular playing field is 5 metres longer than its width. If the perimeter of the field is 150 metres, find its width.

30 metres

35 metres

40 metres

45 metres

30.

Find x, if $\frac{1}{x}$ + $\frac{1}{3}$ = 1

- $\frac{3}{2}$

- $\frac{2}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{2}$

31.

Calculate the size of an exterior angle of a regular pentagon.

72°

90°

108°

360°

540°

32.

Find the rule for the mapping:

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	4	2	0	-2	-4

y = 2x + 2

y = -2x + 2

y = 4x

y = -2x + 6

33.

Use the diagram below to answer the question below

Find the value of x.

68^o

75^o

112^o

124^o

34.

Change 110011_two to number in base ten.

35.

Simplify 2⁹ ÷ 2³

2³

2⁶

2¹²

2²⁷

36.

How many faces has a closed cylindrical object?

37.

Which of the following statements best describe the construction above?

Constructing 30°

Constructing 60°

Constructing 120°

Constructing 135°

38.

The scale of a map is 1 : 100,000. What is the distance (in km) between two towns 4 cm apart on the map?

0.04

0.4

4.0

400

39.

What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?

40.

Simplify: (2ab²)² x 3a³b.

6a⁴b⁵

12a³b⁴

12a⁶b⁴

12a⁵b⁵

THEORY QUESTIONS

(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 = $\frac{22}{7}$ ]

The table shows the distribution of the ages (in years) of children in a nursery school.

Age (years)	1	2	3	4	5
Number of children	6	4	2	3	5

(a)

Find

(i)

the modal age

(ii)

the mean age

(b)

Draw a bar chart for the distribution.

(c)

What is the probability that a child chosen at random from the school is 4 years old?

In the Venn diagram, M and N are intersecting sets in the universal set µ.

(a)

Express n(M) and n(N) in terms of x.

(b)

Given that n(M) = n(N), find the:

(i)

Value of x.

(ii)

n(µ)

(c)

Simplify: 2⁶ ÷ (2² x 2¹) ÷ 2⁵.

Using a ruler and a pair of compasses only,

(a)

construct triangle PQR in which |PQ| = 8 cm, angle QPR = 45° and angle PQR = 90°. Measure |QR|

(b)

construct the mediator of line PQ to meet line PR at the point S.

(c)

With S as the centre and radius 3 cm, construct a circle

(a)

Evaluate $\frac{0.035 x 1.02}{0.0015}$ , leaving the answer in standard form.

(b)

An amount of GH₵4,200.00 was shared betwen Aba and Kwame. If Aba had $\frac{5}{7}$ of the amount,

(i)

how much did Kwame receive?

(ii)

what percentage of Aba's share did Kwame receive?

(c)

Find the value of x in the diagram below.

(a)

Evaluate $\frac{4000 x 0.35}{0.05}$ , leaving the answer in standard form.

(b)

Mr Boakye gets 10% commission on type P house he sells and 15% on type Q house.

He sells 3 type P houses at GH₵ 700,000.00 each and 4 type Q at GH₵ 1,400,000.00 each.

Calculate the total commissions he makes.