OBJECTIVE TEST

Which of the following dimensions of a triangle form the sides of a right angled triangle?

3cm, 4cm, 6cm

3cm, 5cm, 7cm

5cm, 12cm, 13cm

5cm, 13cm, 17cm

Solve 2^x = 8 x 2⁰.

x = 3

x = 2

x = -2

x = -3

Convert 39_ten to a base five numeral.

100111

1110

234

124

103

The ratio of farmers to children in a village is 13 : 11. If there were 312 farmers in the village, how many children were there?

264

143

169

What is the missing number in the sequence: -5, -2, 1, ..., 7?

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

784 cm²

196 cm²

49 cm²

14 cm²

Make n the subject of the relation

n = x(y+1)

n = y(x+1)

Simplify 2⁸ ÷ 2³

2²⁴

2¹⁰

2⁵

2³

Solve the inequality x - $\frac{1}{3}$ ≥ $\frac{2}{3}$ - x.

x ≤ $\frac{1}{2}$

x ≤ $\frac{2}{3}$

x ≥ $\frac{1}{2}$

x ≥ $\frac{2}{3}$

10.

John walks for 22 $\frac{1}{2}$ minutes and runs 7 $\frac{1}{2}$ minutes to school. What percentage of the total time does he spend walking?

25%

30%

33%

75%

11.

The bar chart shows the distances of 5 villages, P, Q, R, S and T from a market town.

Use it to answer the question below.

Which village is farthest from the market town?

12.

Simplify $\frac{2^{2} x 3^{2}}{4^{2} x 3^{3}}$ .

$\frac{1}{12}$

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

13.

In the diagram, P→P¹, Q→Q¹, R→R¹, where P¹Q¹R¹ is an enlargement.

What is the scale factor of this enlargement?

–2

$\frac{1}{3}$

$\frac{1}{2}$

14.

A farmer has 1853 pineapple suckers. He plants 17 pineapples in a row. How many rows can he plant?

109

190

15.

Find the median of the following numbers: 46, 68, 34, 37, 76 and 81.

35.5

16.

The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer the question below.

How many more students offered science subjects than Arts subjects.

160

240

17.

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

18.

Find the next two terms in the sequence 11,7,3,-1,...,...

5,9

3,7

-4,-9

-5,-9

19.

Given that M={a,b,c} find the number of subsets of M

20.

A bag of rice weighs 2 kg. If the empty bag weights 150 g, find the weight of the rice.

[1 kg = 1,000 g]

0.175 kg

0.185 kg

1.850 kg

1.750 kg

21.

Factorize 4ab² – 20ba²

4a(b² – 5b)

4b(b – 5a)

4ab(b - 5a)

4ab(a - 5b)

22.

Which of the following would you use to measure an angle?

Ruler

A pair of compasses

A set square

A protractor

23.

Find the simple interest on ₵15,000.00 at rate of 20% per annum for 5 years.

₵10,000.00

₵15,000.00

₵30,000.00

₵50,000.00

₵90,000.00

24.

The bearing of Aboku from Bebeka is 055°. What is the bearing of Bebeka from Aboku?

035°

055°

125

235°

305°

25.

Simplify:5² x 2² x 5² x 2

2² x 5²

2² x 5⁴

2³ x 5²

2³ x 5⁴

26.

Expand the expression 2(3a + 2b)

6a + 2b

5a + 4b

6a + 4b

10ab

12ab

27.

Find the rule for the mapping:

1	2	3	4	5	...	n
↓	↓	↓	↓	↓	↓	↓
10	21	32	43	54	...	-

n → 10n

n → (10n + 1)

n → (11n - 1)

n → (7n + 3)

28.

Ama is N years old now. How old will she be in 10 years?

(N – 10) years

(N + 10) years

(10 – N) years

10 N years

$\frac{10}{N}$ years

29.

In the diagram, P and Q are two sets and U is the universal set.

Use the information to answer the question below

How many members are in set Q

30.

The pie chart is to be drawn from the data in the following table:

Cassava	20%
Yam	17%
Plantain	28%
Maize	35%

What will be the value of the angle of the sector for maize?

126.0 ^o

100.8 ^o

72.0 ^o

61.2 ^o

31.

Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?

60km

17km

13km

7km

32.

If 21 : 2x = 7 : 10, find x.

2 $\frac{1}{4}$

33.

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.

How much does Mr. Awuah spend on rent?

₵90.00

₵450.00

₵4,500.00

₵9,000.00

₵16,200.00

34.

If 22% of a rope is 55 m long, find the full length of the rope.

12.1 m

25 m

121 m

250 m

2500 m

35.

In triangle ABC, |AB| = |BC| = 5 cm, and |AC| = 8 cm.

Find |BD|.

3 cm

4 cm

9 cm

33 cm

41 cm

36.

Simplify:

37.

If a = $(\begin{matrix} -2 \\ 1 \end{matrix})$ and b = $(\begin{matrix} -5 \\ -3 \end{matrix})$ , find 2a - b.

$(\begin{matrix} 1 \\ 5 \end{matrix})$

$(\begin{matrix} -9 \\ -1 \end{matrix})$

$(\begin{matrix} 5 \\ 1 \end{matrix})$

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

38.

Find the Least Common Multiple (LCM) of the numbers 5,10 and 12.

2 x 3 x 5

2 x 3² x 5

2² x 3 x 5

2² x 3² x 5²

39.

If n² + 1 = 50, find n

24.5

$\sqrt{51}$

40.

Kofi is two years older than Ama. If the sum of their ages is 16, find Ama's age.

7 years

9 years

14 years

18 years

THEORY QUESTIONS

The ages of 20 school children were recorded as follows:

13	9	15	17	13
9	11	9	11	15
17	15	11	9	9
11	15	11	11	11

(a)

Make a frequency table for the data using the ages of 9, 11, 13, ..........

(b)

Use your table to calculate the mean age (correct to the nearest whole number).

(a)

The pie chart shows angles representing the number of candidates who applied for admission into four programmes at a senior secondary school. The number of pupils who applied were 1080.

Find:

(i)

the angle x° representing the Vocational programme.

(ii)

the number of candidates who applied for Business programme.

(iii)

correct to the nearest whole number the percentage of the number of applicants who applied for General Programme.

(b)

The data below shows the distribution of the masses of pupils in a school. On a graph paper, draw a bar chart for the distribution.

Mass (kilograms)	19	20	21	22	23	24
Frequency	5	9	19	25	18	4

(a)

A cylinder closed at one end has radius 7 cm and height 20 cm.

(i)

Find its total surface area.

(ii)

If the cylinder is filled with water to a depth of 5 cm, calculate the volume of the water in it.

[Take π = $\frac{22}{7}$ ]

(b)

Evaluate $\frac{0.07 x 0.6}{0.014 x 0.03}$ , leaving your answer in standard form.

If m = $(\begin{matrix} 2x + 1 \\ 2 - 3y \end{matrix})$ , n = $(\begin{matrix} 6 \\ -8 \end{matrix})$ and (m + n) = $(\begin{matrix} 9 \\ -12 \end{matrix})$ , find the:

values of x and y;

components of m.

Solve the inequality:

$\frac{3}{4}$ (x + 1) + 1 ≤ $\frac{1}{2}$ (x -2) + 5.

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

In the diagram, AB is parallel to CD.

Find the value of:

(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)

Copy and complete the table for the relation y = $\frac{x}{20}$ , where y is the cost(in Ghana cedis) and x is the weight (in grammes) of rice sold in a market.

x (weight in grammes)	50	100	150	200	250	300
y (cost in GH₵)		5.00			12.50

(b)

(i)

On a graph sheet, draw two perpendicular axes OX and OY.

(ii)

Using a scale of 2 cm to 50 grammes on the x-axis and 2 cm to GH₵ 2.00 on the y-axis draw the graph of the relation y = $\frac{x}{20}$ .

(c)

Using the graph, find

(i)

the cost of 175 grammes of rice;

(ii)

the weight of rice that can be bought with GH₵ 14.00