OBJECTIVE TEST

Simplify $\frac{1}{2}$ (1 $\frac{1}{2}$ + $\frac{3}{4}$ ÷ $\frac{1}{4}$ )

1 $\frac{1}{2}$

2 $\frac{1}{4}$

2 $\frac{3}{4}$

4 $\frac{1}{2}$

Arrange the following in descending order:

In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

Use this information to answer the question below.

How many pupils read English only?

In the diagram below, triangle QRT is the enlargement of QST.

Which side of triangle QRT corresponds to side QT of triangle QST?

Simplify 3a²b³ × 4a³b.

12a⁵b⁴

12a⁴b⁵

7a⁵b⁴

7a⁴b⁵

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

If r = $(\begin{matrix} 3 \\ 1 \end{matrix})$ and s = $(\begin{matrix} -2 \\ 1 \end{matrix})$ , calculate 6(r + 2s).

$(\begin{matrix} -1 \\ 3 \end{matrix})$

$(\begin{matrix} 1 \\ 3 \end{matrix})$

$(\begin{matrix} 7 \\ 3 \end{matrix})$

$(\begin{matrix} -6 \\ 18 \end{matrix})$

$(\begin{matrix} 6 \\ 18 \end{matrix})$

Which of the following expressions is illustrated on the number line.

x ≤ -2

x < -2

x ≥ -2

x > -2

The following addition is done in base ten. What number represents abc?

	2	2	2
	3	4	3
	a	b	c
1	0	0	0

324

242

423

435

234

10.

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

11.

In the diagram, QP is parallel to ST, angle QPR = 68^o and angle SRT = 40^o.

Use the information to answer the question below:

Find the value of angle TSR.

40^o

68^o

72^o

112^o

12.

Express 0.625 as a fraction in its lowest term.

$\frac{7}{8}$

$\frac{3}{4}$

$\frac{5}{8}$

$\frac{1}{2}$

$\frac{1}{3}$

13.

Give that

and

find a + b.

14.

A car travels 72 kilometres in an hour. Find its speed in metres per second.

5 ms^-1

20 ms^-1

50 ms^-1

200 ms^-1

1200 ms^-1

15.

Find the smallest number which is divisible by 16 and 20?

120

160

16.

P = {1, 2, 3, 8, 10}, Q = {8, 1, x, 3, 2}. If P = Q, what is the value of x?

17.

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 circle.

[Take π = $\frac{22}{7}$ ]

3.14 cm²

6.28 cm²

4.00 cm²

12.56 cm²

18.

Factorize completely xy - xm - my + m².

(m-y)(x-m)

(x-m)(y-m)

(m-y)(m-x)

(y-m)(m-x)

19.

In sharing 95 oranges with Dede, Fofo kept 45 of them and shared the rest equally with Dede. How many oranges did Dede get?

20.

Find the size of the angle marked a in the diagram above.

30°

60°

90°

120°

180°

21.

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

22.

Given that A = {1, 2, 3, 4, 5, 6} and B = {3, 6, 9, 12}, find A ∪ B.

{3, 6}

{6, 12}

{2, 3, 4, 5, 9, 12}

{1, 2, 3, 4, 5, 6, 9, 12}

23.

How many lines of symmetry has a square?

24.

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Use this information to answer the question below.

How many pupils study only Government?

25.

Change 124_five to a base ten numeral.

26.

What is the image of 3 in the mapping x → 3x + 7?

27.

Kofi deposited ₵500,000.00 with a bank for 2 years at a rate of 10% per annum. Find the simple interest

₵10,000.00

₵20,000.00

₵50,000.00

₵100,000.00

28.

Expand (7r - 5)(3r+4).

21r² + 13r - 20

21r² - 13r - 20

21r² - 43r - 20

21r² + 43r - 20

29.

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

2x² - y²

4x² - y²

2x² + 4xy - y²

4x² + 4xy - y²

30.

The marks obtained by 9 students in a test are 3, 3, 4, 5, 6, 7, 7, 7, 8.

Use this information to answer the question below.

What is the mode?

31.

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

What fraction of Mr. Awuah's income is spent on food?

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{5}$

$\frac{1}{2}$

32.

P = {3, 6, 9, 12, 15}. Which of the following best describes the set P?

The set of multiples of 3 less than 18

The set of multiples of 3

The set of odd numbers

The set of odd numbers less than 16

33.

Find the highest common factor (HCF) of 48, 60 and 96.

34.

On a map, two towns P and Q are 15.5 cm apart. The scale of the map is 1 cm: 4 km. Calculate the actual distance between P and Q.

15.5 km

31 km

46 km

60 km

62 km

35.

Simplify

-1

36.

A 3.6 m long string is to be cut into pieces, each of length 40 cm. How many pieces can be cut from the string?

37.

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

(6, -2)

(-3, 6)

(-3, -6)

(-1, 0)

38.

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

39.

Make a subject of the relation P = 2(a + b)

a = $\frac{P - 2b}{2}$

a = $\frac{P + 2b}{2}$

a = $\frac{2b - P}{2}$

a = $\frac{P - b}{2}$

a = $\frac{P - 2}{b}$

40.

Factorize: 5ay - by + 15a - 3b.

(y + 3)(5a - b)

(y + 5)(3a - b)

(y - 3)(5a + b)

(y - 5)(3a + b)

THEORY QUESTIONS

Two consecutive odd numbers are such that seven times the smaller, sutracted from nine times the bigger, gives 144. Find the two numbers.

A paint manufacturing company has a machine which fills 24 tins with paint in 5 minutes.

How many tins will the machine fill in

1 minute, correct to the nearest whole number?

1 hour?

How many hours will it take to fill 1440 tins?

Given that s = $\frac{n}{2}$ [2a + (n - 1)d], a = 3,d = 4 and n = 10, find the value of s.

(a)

In a class of 39 students, 19 offer French and 25 offer Ga. Five students do not offer any of the two languages. How many students offer only French?

(b)

In the diagram above, AC is parallel to DG, angle BFG = 118° and angle ABE = 83°.

Find the value of

(i)

angle CBF;

(ii)

(c)

A fair die is thrown once.

(i)

Write down the set of all the possible outcomes.

(ii)

Find the probability of obtaining a multiple of 2.

(iii)

What is the probability of obtaining a prime number?

(a)

In an examination, 50 candiates sat for either Mathematics or English Language.

60% passed in Mathematics and 48% passed in English Language. If each candiate passed in at least one of the subjects, how many candidates passed in:

(i)

Mathematics?

(ii)

English Language?

(b)

Illustrate the information given in (a) on a Venn diagram.

(c)

Using the Venn diagram, find the number of candidates who passed in:

(i)

both subjects;

(ii)

Mathematics only.

(d)

If a = $(\begin{matrix} 4 \\ -5 \end{matrix})$ and b = $(\begin{matrix} 2x \\ 3+y \end{matrix})$ are equal vectors, find the values of x and y.

The table below shows the ages of students admitted in a hospital.

Age (years)	10	11	12	13	14	15
Number of students	5	1	7	10	3	4

Use the information to answer the following question:

What is the modal age?

Calculate, correct to two decimal places, the mean age of the students.

Rice is sold at GH₵56.00 per bag of 50 kg. A trader bought some bags of rice and paid GH₵1,344.00.00

How many bags of rice did the trader buy?

If the trader retailed the bags of rice at GH₵1.40 per kg, how much profit was made on 1 kg of rice?

The following table gives the distribution of sales of soft drinks sold by the Jatokrom JSS canteen in one week.

Soft Drink	No. of Bottles Sold
Fanta	13
Pepsi Cola	21
Mirinda	14
Coca-cola	17
Sprite	7

Draw a pie chart to illustrate the sales.

The mapping below has the rule, y = 2x + 3.

x	0	1	2	3	4
↓	↓	↓	↓	↓	↓
y	-	5	7	-	-

(a)

(i)

Copy the mapping and fill in the missing numbers

(ii)

Using a scale of 2 cm to 1 unit on both axes on a graph sheet, choose the origin O and draw the perpendicular axes OX and OY.

(iii)

On the same graph sheet, mark the x-axis from 0 to 5 and the y-axis from 0 to 12.

(iv)

Plot on the graph sheet the ordered pairs (x, y) from the mapping and join all the points using a straight edge.

(b)

From your graph, find:

(i)

y when x = 3.5;

(ii)

x when y = 8;

(iii)

the gradient of the line y = 2x + 3.