OBJECTIVE TEST

If E = {prime numbers between 10 and 20} and F = {odd numbers between 0 and 16},
find E ∩ F.

{11}

{11, 13}

{3, 11, 13}

{3, 11, 13, 15}

The pie chart shows the household budget of a family.

Use the information to answer the question below

If the family's income was GH₵ 40,000.00, how much was spent on clothing?

GH₵ 1,600.00

GH₵ 2,000.00

GH₵ 3,200.00

GH₵ 4,400.00

There are 12 boys and 18 girls in a class

Find the fraction of boys in the class.

⅖

⅗

⅔

Solve for y in the equation $\frac{1}{3}$ y + $\frac{1}{5}$ y = 8

A shop is rented at GH₵ 9.00 per month. How much money is paid in 1½ years?

GH₵ 162.00

GH₵ 135.00

GH₵ 6.00

GH₵ 13.00

Find the total cost of 25 pens and 75 books if each pen costs GH₵ 0.20 and each book costs GH₵ 0.30.

GH₵ 22.50

GH₵ 23.50

GH₵ 27.50

GH₵ 50.00

In an examination, 154 out of 175 candidates passed. What percentage failed?

12%

13%

18%

If s = $(\begin{matrix} -1 \\ 4 \end{matrix})$ and r = $(\begin{matrix} 3 \\ 2 \end{matrix})$ , find 3s + r.

$(\begin{matrix} 0 \\ 14 \end{matrix})$

$(\begin{matrix} 0 \\ 6 \end{matrix})$

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

$(\begin{matrix} 6 \\ 14 \end{matrix})$

A mapping is defined by x → x² – 1. What is the image of 3 under the mapping?

10.

The dimensions of the rectangle are given in base two. Find its perimeter.

100_two cm

101_two cm

110_two cm

1001_two cm

1010_two cm

11.

Arrange the following in descending order:

12.

Simplify 2 x (3 $\frac{1}{3}$ + 1 $\frac{1}{6}$ )

2 $\frac{1}{3}$

4 $\frac{1}{4}$

6 $\frac{2}{3}$

13.

The area of a rectangle is 18 cm² . One of its sides is 9 cm long. Find its perimeter.

11 cm

18 cm

22 cm

36 cm

54 cm

14.

The height of a flag pole in a scale drawing is 5 cm. If the scale is 1 cm to 3 m, what is the actual height of the pole?

10 m

15 m

8 m

5 m

15.

M = {g, o, q, s} and W = {h, p, r, t}. Find W U W.

{q, r, s, t}

{g, h, o, q, r}

{g, h, o, q, r, t}

{g, h, o, p, q, r, s, t}

16.

Calculate 82.5 ÷ 0.25, expressing the answer in the standard form

3.3 x 10^-3

3.3 x 10

3.3 x 10²

3.3 x 10³

17.

Given that 117(12+18) = 117(15+k), find the value of k

- 15

-30

18.

Which property is illustrated by the statement a × (b + c) = a × b + a × c?

Inverse

Identity

Commutative

Distributive

Associative

19.

Simplify: 16 + 5.6 + 0.681

2.2281

22.281

222.81

2228.1

20.

A bag contains 5 black and 6 white balls. What is the probability of picking a white ball?

$\frac{1}{11}$

$\frac{1}{6}$

$\frac{1}{5}$

$\frac{5}{11}$

$\frac{6}{11}$

21.

OPQR is a trapezium whose height is 20 cm. What is the area?

460 cm²

600 cm²

920 cm²

960 cm²

1000 cm²

22.

A man deposited an amount of money in his savings account for 5 years. The rate of interest was 14% per annum. If the interest was ₵35,000.00, find the amount deposited.

₵85,000.00

₵50,000.00

₵39,900.00

₵24,500.00

₵15,000.00

23.

Write 78910 correct to the nearest thousand.

70,000

78,000

79,000

80,000

24.

30 men dig a pit in 21 days. How many days will 14 men take to dig the pit, working at the same rate?

25.

Use the diagram below to answer the question below.

What is the value of c°?

68°

75°

105°

112°

124°

26.

Use the information below to answer the question below.

A rectangular tank has length 3 m, width 2 m and height 1.5 m.

The Alpha Water Company charges ₵40,000.00 for every 1 m³ of water.

Find how much it will cost to fill the tank completely.

₵180,000.00

₵240,000.00

₵300,000.00

₵360,000.00

27.

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

What percentage of his salary does he spend on rent and utilities?

12.1%

12.5%

22.2%

33.3%

28.

If 2y = 5 - 3x, find x when y = 1.

-2 $\frac{1}{3}$

-1

29.

Make d the subject of the relation n = 2d + 3

d = $\frac{3n}{2}$

d = $\frac{n + 3}{2}$

d = $\frac{n - 3}{2}$

d = $\frac{3 - n}{2}$

30.

Study the triangle of odd numbers and use it to answer the question below.

13		b		c		19
	7		9		a
		3		5
			1

Evaluate: a + b + c

31.

If (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5). Find the value of a.

3.0

5.8

6.0

9.0

18.0

32.

Use the graph below to answer the question below.

The travel graph describes the journey of a cyclist from Town X to Town Y.

How many minutes did the cyclist spend at town Y?

15 minutes

20 minutes

30 minutes

45 minutes

60 minutes

33.

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

34.

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

35.

A length of a ribbon is 16.8 m long. How many ribbons 0.36 m long can be cut from it?

0.46

4.60

460

36.

Evaluate $(\frac{2}{3} - \frac{1}{4}) \div \frac{5}{6}$ .

$\frac{1}{2}$

$\frac{1}{5}$

$\frac{2}{3}$

-2

-12

37.

Simplify:

38.

Find the gradient of the straight line which passes through the points (-3,4) and (3,-2).

-2

-1

39.

The volume of a cylinder is 40Π cm³. If the height of the cylinder is 10 cm, find the base radius

1 cm

4 cm

2 cm

3 cm

40.

Evaluate 53 - (-7) + (-15).

THEORY QUESTIONS

(a)

Factorize: (x-y)(3m+n)-(x-y)(m-2n)

(b)

Given that

and

Find the value of (x + y)

(c)

(i)

Find the truth set of

(ii)

Illustrate the answer in (i) on the number line.

(a)

Solve the inequality $\frac{5x - 3}{6}$ - $\frac{2x - 4}{4}$ < 2

(b)

(i)

Copy and complete the table of values for he relation, y = 2x + 1

x	-3	-2	-1	0	1	2	3	4
y	-5	-3		1			7

(ii)

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, plot the ordered pairs (x, y) on a graph sheet.

(iii)

Use a ruler to join the joints plotted.

(iv)

Use your graph to find

(α)

x when y = 4

(β)

y when x = -2.5

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?

(a)

(i)

Ama scored 82,74 and 90 in three tests. What mark should she score in the fourth test, so that her average mark for the four tests would be 85?

(ii)

What was her median score in the four tests?

(b)

In the diagram, AD is parallel to EG, angle CFG = 40^o and triangle BCF is isosceles. Find the value of:

(i)

angle CBF;

(ii)

angle DCF;

(iii)

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

A property worth GH₵ 10,480.00 is shared between a widow and her 10 children in the ratio 1:4 respectively. The children shared their portion equally. Find each child's share.

The data shows the distribution of marks in a class test.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

Use the data to answer the following questions:

make a Stem and Leaf plot of the data;

how many students scored more than 10 marks and less than 20 marks?

iii

what is the probability of a student scoring less than 20 marks?

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32