OBJECTIVE TEST

Solve: 3(x - 2) - $\frac{x}{3}$ + 6 > 0.

x < 0

x > 0

x > 3

x > $\frac{1}{8}$

Ama is three times as old as Kofi. The sum of their ages is 40. How old is Ama?

10 years

30 years

37 years

43 years

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

Inverse

Identity

Commutative

Distributive

Associative

What is the name of the figure above?

Cuboid

Kite

Triangle

Pyramid

If 8x - 3(2x - 4) = 4, find the value of x.

-8

-4

There are 20 beads in a box. Some are red and some green. The chance that one bead taken at random from the box is red is $\frac{1}{4}$ . Find the number of red beads in the box.

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

12%

13%

18%

An amount of GH₵ 375,000.00 was needed to build a clinic for a community of twelve towns. Each community contributed GH₵ 25,000.00. If the District Assembly also contributed GH₵ 30,500.00, how much more is needed to build the clinic?

GH₵ 44,500.00

GH₵ 45,500.00

GH₵ 35,500.00

GH₵ 75,000.00

A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

120

10.

Find 2 $\frac{1}{2}$ % of ₵2,000.00

₵40.00

₵50.00

₵100.00

₵800.00

₵5,000.00

11.

Arrange the following fractions in descending order of magnitude: $\frac{1}{2}$ , $\frac{17}{20}$ , $\frac{3}{4}$

$\frac{3}{4}$ , $\frac{17}{20}$ , $\frac{1}{2}$

$\frac{17}{20}$ , $\frac{3}{4}$ , $\frac{1}{2}$

$\frac{1}{2}$ , $\frac{3}{4}$ , $\frac{17}{20}$

$\frac{1}{2}$ , $\frac{17}{20}$ , $\frac{3}{4}$

12.

Simplify: -13 – (-3) + (-10).

-26

-20

-10

- 6

13.

Express 30 cm as a percentage of 2 m.

0.5%

1.5%

6.7%

15%

66.7%

14.

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

15.

Solve: (1-x)÷3 < 4.

x < -11

x > -11

x < 11

x >11

16.

Ama bought a pair of sandals for GH₵ 20.00 and solid it at GH₵ 24.00. Find the percentage profit.

4 %

17 %

20 %

44 %

17.

In the figure below, triangle ABC is an enlargement of triangle ADE. If |AE| = 20 cm and |EC| = 10 cm. What is the scale factor of the enlargement?

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{5}{2}$

18.

Which of the following numbers is the largest?

-70

-50

-3

-2

19.

Factorize completely the expression 2xy – 6y + 7x – 21

(x – 3)(2y + 7)

(x + 3)(2y – 7)

(y – 3) (2x +7)

(y + 3) (2x – 7)

20.

Simplify

21.

Find the simple interest on GH₵ 350.00 for 4 years at 5% per annum.

GH₵ 20.00

GH₵ 35.00

GH₵ 70.00

GH₵ 140.00

22.

A basket contains 450 oranges, if each orange costs ₵15.00, find the total cost of the oranges.

₵30.00

₵465.00

₵435.00

₵675.00

₵6,750.00

23.

P = {prime numbers less than 20} and Q = {odd numbers less than 10}.

Find P ∩ Q

{2, 3}

{1, 3, 5, 7, 11)

{3, 5, 7, 9}

{3, 5, 7}

{3, 5, 7, 11}

24.

If y : 28 = 5 : 7, find y.

31.2

37.5

25.

A survey shows that 28% of all the men in a village are vegetarian. What is the probability that a man selected at random from the village is a vegetarian?

$\frac{7}{25}$

$\frac{41}{50}$

$\frac{1}{2}$

26.

John's uncle sent him ₵120,000.00 through a bank which charges 5% commission. How much commission was paid?

₵5,000.00

₵6,000.00

₵7,000.00

₵7,200.00

27.

If n² + 1 = 50, find n

24.5

$\sqrt{51}$

28.

Correct 0.02751 to three decimal places.

0.027

0.028

0.03

0.28

29.

State the rule for the mapping

x	1	2	3	4
↓	↓	↓	↓	↓
y	15	30	46	60

x → 15x

x → 15 + x

x → $\frac{15}{x}$

x → 10 + 5x

30.

The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below

What is the modal mark?

31.

In the relation $\frac{1}{R}$ = $\frac{1}{R_{1}}$ + $\frac{1}{R_{2}}$ , if R₁ = 1 and R₂ = 3,
find R

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{2}$

$\frac{4}{3}$

32.

If $\frac{3}{15}$ is equivalent to $\frac{45}{a}$ , find a

225

150

135

33.

The point K(1,5) is rotated through 90^o anti-clockwise about the origin.

Find the coordinates of the image of K.

(5,-1)

(-5,1)

(-1,5)

(1,-5)

34.

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

35.

If R = $\frac{h}{2}$ + $\frac{d^{2}}{8h}$ , find R when d = 8 and h = 6.

3 $\frac{1}{6}$

4 $\frac{1}{3}$

4 $\frac{3}{4}$

4 $\frac{9}{16}$

36.

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

223

271

281

291

37.

Evaluate $\frac{20}{a}$ - b, if a = 30 and b = 1.

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

- $\frac{1}{3}$

$\frac{1}{3}$

1 $\frac{2}{3}$

38.

Correct 48,947.2547 to the nearest hundred.

490

48,900

48,950

49,000

39.

M = {multiples of 3 between 10 and 20}
N = {even numbers between 10 and 20}.

Find M ∩ N.

{12, 18}

{12, 15, 18}

{12, 14, 16, 18}

{12, 14, 15, 16, 18}

{10, 12, 14, 15, 18, 20}

40.

Calculate, correct to two decimal places, 0.61 ÷ 0.8

0.07

0.08

0.76

0.83

7.62

THEORY QUESTIONS

Simplify

, leaving the answer in standard form.

Make r the subject of the relation

ii)

From (b)(i), find the value of r when y = 3 and x = 10.

Juliet bought 1,756 kg of frozen chicken, 675 g of vegetables and 95 g of corn oil from a Shopping Mall. What is the total weight of the items she bought in kilogram?

(a)

Given that a = $(\begin{matrix} -3 \\ 3 \end{matrix})$ and b = $(\begin{matrix} 4 \\ -6 \end{matrix})$ , calculate

(i)

a + 2b;

(ii)

$\frac{1}{2}$ (2a - b)

(b)

The number of pupils in a primary school is given in the table below:

Class	One	Two	Three	Four	Five	Six
Number of pupils	24	35	35	20	21	45

(i)

Find the number of pupils in the school.

(ii)

What is the mean number of pupils in a class?

(iii)

What percentage of pupils are in class six?

(c)

Convert 312_five to base ten numeral.

(a)

If p = 4, a = 16, b = -5 and c = 3, evaluate p² - $\frac{(a - b)}{c}$

(b)

Solve the inequality 5x – 3(x – 1) ≥ 39. Illustrate your answer on the number line.

(c)

If x = $(\begin{matrix} -3 \\ 2 \end{matrix})$ and y = $(\begin{matrix} 4 \\ -1 \end{matrix})$ , find

(i)

x + 2y

(ii)

3x – y

(a)

Given that u = 4, t = 5, a = 10 and s = ut + $\frac{1}{2}$ at², find the value of s.

(b)

The selling price of a gas cooker is GH₵450.00. If a customer is allowed a discount of 20%, calculate the:

(i)

discount;

(ii)

amount paid by the customer.

(c)

A crate of minerals containing ten bottles of Coca Cola and fourteen bottles of Fanta was given to some children for a birthday party. If a child chose a drink at random from the crate, find the probability that it was Fanta.

(a)

There are 30 boys in a sporting club. 20 of them play hockey and 15 play volley-ball. Each boy plays at least one of the two games.

(i)

Illustrate the information on a Venn diagram

(ii)

How many boys play volleyball only?

(b)

Factorize xy + 3x + 6y + 18

(c)

Multiply (3 + x) by (5 – 2x)

(a)

Using a ruler and a pair of compasses only,

(i)

construct a triangle XYZ with length XY = 7 cm, length YZ = 5 cm and angle XYZ = 45^o.

(ii)

Measure and write down the length of XZ.

(b)

Given that the circumference of a circle is 44 cm, find

(i)

the radius of the circle;

(ii)

the area of the circle.

[Take π = $\frac{22}{7}$ ]