OBJECTIVE TEST

Given that (23 × 82) × 79 = 148,994, find the exact value of (2.3 × 82) × 7.9

14.8994

148.994

1489.94

14899.4

148994.0

If x is an integer, list the members of the set, {2 ≤ x < 10}.

{3, 4, 5, 6, 7, 8, 9}

{2, 3, 4, 5, 6, 7, 8, 9}

{3, 4, 5, 6, 7, 8, 9, 10}

{2, 3, 4, 5, 6, 7, ,8, 9, 10}

If 50 oranges cost ₵2,500.00 how many oranges can be bought for ₵15,000.00?

300

360

In triangle PQR, |PQ| = |QR|, and angle PQR = 90°.

Find x.

30°

45°

60°

90°

180°

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)

Commutative

Associative

Closure

Distributive

13	12	17
E	F	10
11	16	G

Use the magic square above to answer the question below

Find the value of E.

A point (-2, 3) is reflected in the x-axis. Find the image of the point.

(-3, -2)

(-3, 2)

(-2, -3)

(-2, 3)

Write 0.55 as a fraction in its lowest term.

$\frac{11}{200}$

$\frac{11}{20}$

$\frac{11}{2}$

$\frac{11}{5}$

The figure above is the net of

a cylinder

a triangle

a pyramid

a cone

a sphere

10.

Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.

3 : 2

1 : 3

2 : 3

2 : 1

11.

Simplify: (2ab²) (3a²b)

5a²b²

6a²b²

5a²b³

6a³b²

6a³b³

12.

There are 6 girls and 18 boys in a class. What percentage of the class are girls?

14.40%

25.00%

33.33%

66.67%

75.00%

13.

Factorize 22ab – 11ac + 6rb – 3rc.

(2b – c) (11a + 3r)

(2b + c) (11a – 3r)

(2b – c) (11a – 3r)

(2b + c) (11a + 3r)

14.

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

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

15.

The sum of 5 and x divided by 4 is equal to 3.25. Find the value of x.

2 $\frac{1}{4}$

-3 $\frac{4}{13}$

16.

Find the missing numbers in the sequence 4, 8, 12, _ , _ , _ , 28

14, 16, 22

14, 18, 22

6, 18, 22

16, 20, 24

16, 22, 24

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.

Find the Lowest Common Multiple (LCM) of 2² x 3 x 5² and 2³ x 3² x 5.

2² x 3 x 5

2² x 3² x 5²

2³ x 3 x 5

2³ x 3² x 5²

19.

A mother has GH₵ 5.00 and gives each of her 3 children GH₵ 1.50 as pocket money. How much is left for her?

GH₵ 3.50

GH₵ 4.5

GH₵ 0.15

GH₵ 0.50

20.

What set does the following graph represent?

{x:x < 2}

{x:x ≤ 2}

{x:x > 2}

{x:x ≥ 2}

21.

Find the largest value of these numbers: -1, 0, -6, -3.

-1

-3

-6

22.

A hall which is 8 m long is represented on a diagram as 4 cm long. What is the scale of the diagram?

1 : 200

1 : 250

1 : 400

1 : 800

23.

If r = $(\begin{matrix} 2 \\ 5 \end{matrix})$ and t = $(\begin{matrix} -2 \\ -3 \end{matrix})$ , evaluate r + t.

$(\begin{matrix} 0 \\ -2 \end{matrix})$

$(\begin{matrix} 0 \\ 2 \end{matrix})$

$(\begin{matrix} 4 \\ 2 \end{matrix})$

$(\begin{matrix} 4 \\ 8 \end{matrix})$

24.

In a class, there are 12 girls and 48 boys. Find the percentage of boys in the class.

20%

40%

60%

80%

25.

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

26.

If 21:2x = 7:12, find the value of x.

27.

The probability of obtaining a head when a coin is tossed is $\frac{1}{3}$ . What is the probability of obtaining a tail?

$\frac{2}{3}$

$\frac{1}{2}$

$\frac{1}{3}$

28.

U = {0, 1}. How many subsets have U?

29.

Find the area of a square, if its perimeter is 28 cm.

784 cm²

196 cm²

49 cm²

14 cm²

30.

A certain number is subtracted from 12 and the result is multiplied by 3. If the answer is 21, find the number.

31.

If $1.00 = ₵340.00, what was the cedi value of an article which cost $6.50?

₵6,630.00

₵2,380.00

₵2,210.00

₵346.50

₵333.50

32.

Find the solution set of n - $\frac{2}{3}$ > $\frac{1}{3}$ - n.

{n:n > -1}

{n:n = 0}

{n:n > $\frac{1}{3}$ }

{n:n > $\frac{1}{2}$ }

{n:n > 1}

33.

The number of pupils who attended hospital from eight classes on a particular day are:

1,5,3,1,7,5,1,1.

Calculate the mean

34.

Factorize: 3ax + 6a - x - 2

(3a+1)(x+2)

(3a+1)(x-2)

3a(x-2)

(3a-1)(x+2)

35.

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?

36.

In the diagram above, ∆ABC is an isosceles triangle. ∠ABD is 108°. Find the value of y.

37.

Write in standard form 1342.

0.1342 x 10^-3

0.1342 x 10^-4

13.42 x 10²

1.342 x 10³

1.342 x 10⁴

38.

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

39.

A shop increased all its prices by 10%. Calculate the new price for an article which previously sold for ₵7,500.00

₵6,750.00

₵7,575.00

₵7,800.00

₵8,250.00

₵8,350.00

40.

A printing machine prints 600 books in 3 hours. How many books will the machine print in 5 hours?

360 books

1000 books

1800 books

3000 books

THEORY QUESTIONS

(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)

A fair die and a fair coin are thrown together once.

(i)

Write down the set of all possible outcomes.

(ii)

Find the probability of obtaining a prime number and a tail.

(b)

The map of a field is drawn to a scale of 1 : 100. If the width and area of the field on the map are 8 cm and 88 cm² respectively, find in m², the area of the actual field.

(c)

Copy and complete the 3 x 3 magic square such that the sum of the numbers in each row, column and diagonal is equal to 21.

10	3
	7

(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.

(a)

In the diagram, PADQ and RBCS are parallel lines. │BD│ = │DC│, angle ADB = 65° and angle ABR = 50°.

(i)

Calculate the angle BDC.

(ii)

Calculate angle ABD.

(iii)

Find angle BAD.

(iv)

What type of triangle is triangle ABD?

(b)

Using a ruler and a pair of compasses only, construct triangle XYZ, with |YZ| = 8 cm, angle XYZ = 60° and |XY|=9 cm.

Measure

(i)

angle YZX;

(ii)

|XZ|

(a)

Solve the inequality $\frac{2x - 1}{4}$ - $\frac{x - 2}{3}$ > 1

(b)

Find the value of the expression 2x - 3y if x = $\frac{1}{3}$ and y = - $\frac{1}{2}$ .

(c)

25 students in a class took an examination in Mathematics and Science. 17 of them passed in Science and 8 passed in both Mathematics and Science. 3 students did not pass in any of the subjects.

Find

(i)

how many passed in Mathematics;

(ii)

the probability of meeting a student who passed in one subject only.

(a)

If 4m - 2(3 + 2m) + m(2m + 4) = 0, find the values of m.

(b)

At a political rally, there were 240 women, 200 men, 160 boys and 120 girls.

(i)

Draw a pie chart to illustrate the information.

(ii)

What percentage of the people at the rally were females?