OBJECTIVE TEST

13	12	17
E	F	10
11	16	G

Use the magic square above to answer the question below

Find the value of E.

Evelyn saved GH₵ 35.48 every month for 8 months. How much did she save?

GH₵ 183.60

GH₵ 280.63

GH₵ 283.20

GH₵ 283.84

Find the size of the angle marked y in the diagram.

35°

45°

55°

90°

Which of the following numbers is the next prime number greater than 23 ?

Find one-hundredth of 1.0756

107.56

10.756

0.01756

0.010756

0.001756

Simplify:

135 pencils were to be packed into boxes. Each box could take 12 pencils. Find the number of boxes that were fully packed.

10 boxes

11 boxes

12 boxes

13 boxes

Simplify 2⁸ ÷ 2³

2²⁴

2¹⁰

2⁵

2³

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

10.

If 6:8 = r:48, find the value of r

11.

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

12.

Kofi had 100 mangoes and sold 80 of them. What is the percentage of mangoes left?

12.5%

18%

20%

25%

13.

A boy scores $\frac{17}{25}$ in a French test. Express his score as a percentage.

17%

34%

68%

85%

14.

If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.

$\frac{3}{8}$

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{5}{8}$

15.

Simplify

⅓

⅙

⅔

16.

Tins of milk each of volume 77 cm³ and weight 170 g were packed into an empty carton of volume 1540 cm³ and weight 500 g.

How many tins of milk can be packed to fill the carton?

17.

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

18.

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

Find the value of x.

65^o

75^o

85^o

100^o

19.

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

20.

Yakubu, Seidu and Amina shared an amount of money in the ratio 3 : 4 : 5. Find how much was shared, if Amina received ₵40,000.00

₵72,000.00

₵80,000.00

₵96,000.00

₵120,000.00

21.

A tank holds 240 litres of water. How much water is in the tank when it is $\frac{4}{5}$ full?

60 litres

132 litres

192 litres

240 litres

22.

18 = 2 x 3²; 42 = 2 x 3 x 7; 90 = 2 x 3² x 5

Use the information above to answer the question below.

Find the LCM of 18, 42 and 90.

2 × 3²

2 × 3 × 7

2 × 3² × 5

2 × 3 × 5 × 7

2 × 3² × 5 × 7

23.

Simplify: $\frac{2a}{3}$ - $\frac{a - b}{2}$ .

a - 3

$\frac{a - 3b}{6}$

$\frac{a + 3b}{6}$

a + 3b

a - b

24.

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.

GH₵ 100(m - n)

GH₵ 100(m + n)

GH₵ 100(n - m)

GH₵ 100( nm )

25.

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.

What is the total number of pupils who study Government?

26.

Express 350 as a product of prime factors

2 × 5 × 7

2 × 5² × 7

2 × 5 × 7²

2² × 5 × 7

27.

It costs a carpenter GH₵ 25.00 to make a chair. How much should it be sold to make a profit of 40%?

GH₵ 15.00

GH₵ 35.00

GH₵ 40.00

GH₵ 50.00

28.

If P¹(4,-5) is the image of P(x,y) translated by r = ( ^-2 ₃), find the values of x and y.

(-6,8)

(-6,-8)

(6,-8)

(6,8)

29.

Simplify: 16 + 5.6 + 0.681

2.2281

22.281

222.81

2228.1

30.

Which of the following inequalities is / are true?

I: $\frac{5}{6}$ > $\frac{3}{4}$ II: $\frac{3}{4}$ > $\frac{3}{5}$ III: $\frac{3}{8}$ > $\frac{1}{2}$ .

I only

II only

III only

I and II only

I and III only

31.

Which property of arithmetic operation is illustrated by the statement: a × (b + c) = ab + ac?

Addition

Association

Commutative

Multiplication

Distributive

32.

A farmer feeds 20 goats with 500 kg of cassava. How many goats can be fed with 200 kg of cassava?

33.

P = {0, 2, 4, 6} and Q = {1, 2, 4, 5}. Find P ∩ Q.

{0, 6}

{2, 4}

{0, 4}

{0, 2, 6}

{0, 1, 2, 4, 5}

34.

Find the volume of a cylinder of height 3 cm and radius 2 cm.

6π cm³

12π cm³

18π cm³

24π cm³

35.

L = $(\begin{matrix} 3 \\ -1 \end{matrix})$ and K = $(\begin{matrix} -4 \\ 2 \end{matrix})$ .

Find L + K.

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

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

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

$(\begin{matrix} 7 \\ -1 \end{matrix})$

$(\begin{matrix} 7 \\ 1 \end{matrix})$

36.

Which of the following are the prime factors of 12?

{1, 3}

{2, 3}

{2, 4, 6, 12}

{2, 3, 4, 6}

37.

Make n the subject of the relation

n = x(y+1)

n = y(x+1)

38.

Express 36 as a product of primes.

2 x 3

2² x 3²

2² x 3³

2³ x 3²

39.

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

40.

The point Q(-2,3) is rotated anticlockwise about the origin through an angle of 90^o. Find the coordinates of its image.

(-3,-2)

(-3,2)

(3,-2)

(3,2)

THEORY QUESTIONS

(a)

The pie chart shows the weight (in kg) of items Mrs. Mensah bought for her household.

(i)

What angle represents fish?

(ii)

If she bought a total of 20 kg of items,

(α)

what is the weight of flour bought?

(β)

express, correct to one decimal place, the weight of sugar as a percentage of the weight of rice.

(b)

In a class of 30 students, five wear glasses. If a student is selected at random from the class, what is the probability that the student does not wear glasses?

(a)

Using a ruler and a pair of compasses only,

(i)

construct triangle ABC with sides |AB| = 7 cm, |BC| = 8 cm and |AC| = 9 cm;

(ii)

draw the perpendicular bisectors of the three sides;

(iii)

locate the point of the intersection, O, of the perpendicular bisector;

(iv)

with center O and radius OA, draw a circle to pass through the vertices of the triangle.

(b)

Measure and write down the radius of the circle you have drawn in (a)(iv).

(c)

Find the product of (2x - 3) and (x -1).

(a)

Express 131_five as a binary numeral

(b)

Three children, Kwabena, Esi and Yaw were given 160 oranges to share. Kwabena gets $\frac{1}{4}$ of the oranges. Esi and Yaw share the remainder in the ratio 3 : 2 respectively.

(i)

Find how many oranges Esi received

(ii)

How many more oranges did Yaw receive than Kwabena?

Copy and complete the table for the relation y = 12x - 9

x	-2	-1	0	1	2	3	4	5
y			-9				39

Using a scale of 2 cm to 1 unit on the x - axis to 10 units in the y - axis, draw on a graph sheet two perpendicular axes ox and oy.

ii)

Using the table, plot all the points of the relation y = 12x - 9 on the graph.

iii)

Draw a straight line through the points.

iv)

Use the graph to find:

(α) y when x = 2.5;

(β) x when y = 10.

List the integers within the interval 7 < x ≤ 14

(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)

The table shows the number of students who scored more than 80% in the listed subject.

Subject	Number of students
Biology	26
Physics	30
Chemistry	32
French	38
Geography	24
History	30

(i)

Draw a pie chart for the distribution.

(ii)

What is the probability that a student chosen at random from the distribution, offers Chemistry?

(b)

A woman bought 210 oranges for GH₵7.50. She sold all of them at 3 for 15 Gp. Find the

(i)

total selling price of the oranges;

(ii)

percentage profit.