OBJECTIVE TEST

The table below shows the ages of children at a birthday party.

Ages(years)	No. of Children
1	3
2	4
3	2
4	5
5	4
6	4
7	6
8	4
9	2
10	1

Use this table to answer the question below.

What is the modal age?

The perimeter of an isosceles triangle is 45 cm. Find the length of the third side, if each of the equal sizes is 14 cm long.

11 cm

14 cm

17 cm

31 cm

Simplify: 5 - 7 + 2(3 - 8)

-12

-8

-5

-4

Esi went to the market and bought 500 g of meat, 850 g of fish and 900 g of eggs. What is the total weight of the items she bought in kilograms?

2.20 kg

2.25 kg

2.35 kg

22.50 kg

What name is given to a triangle which has all its sides equal?

Isosceles triangle

Scalene triangle

Equilateral triangle

Right-angle triangle

Abena spent $\frac{1}{5}$ of her money on sweets, $\frac{4}{7}$ on provisions and the rest on gari. What fraction of her money did she spend on gari?

$\frac{27}{35}$

$\frac{13}{35}$

$\frac{8}{35}$

$\frac{5}{35}$

The stem and leaf plot shows the marks scored by students in a French test. Use the information to answer the question below.

Stem	Leaf
2	0 2 5 7 8
3	2 7 9
4	3 5 5 5
5	4 6 6 8
6	3 5 7
7	0 6

How many students took the test?

If P = {2,3,5,7} and Q = {2,4,6,8}, find P∩Q.

{2}

{3}

{4}

{5}

How many lines of symmetry has a rectangle?

10.

Find the image of the point K (3, 5) when it is reflected in the x-axis.

(3, 5)

(5, 3)

(3, -5)

(-3, -5)

11.

On a map, 1⁄3 cm represents 5km. If two towns A and B are 18 cm apart on the map, what is the actual distance between them?

27 km

30 km

240 km

270 km

12.

The point P(3, 4) is translated by the vector $(\begin{matrix} 3 \\ -2 \end{matrix})$ to a new position P^'. Find the coordinates of the image P^'

(0, 2)

(6, -2)

(6, 2)

(6, 6)

13.

A write watch is priced GH₵2,000.00. A shopkeeper allows a discount of 2% on the cost price.

Find the discount on 20 of such wrist watches.

GH₵500.00

GH₵600.00

GH₵800.00

GH₵1,000.00

14.

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.

What is the HCF of 18, 42 and 90?

15.

Find x, if $\frac{1}{x}$ + $\frac{1}{3}$ = 1

- $\frac{3}{2}$

- $\frac{2}{3}$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{2}$

16.

In the Venn diagram M and N are the subsets of the universal set U.

Use this information to answer the question below.

Find M ∩ N

{7}

{2,7}

{3,5,8}

{1,2,3,4,5,6,7,8,9}

17.

Kojo can buy 15 shirts at GH₵4.00 each. If the price is increased to GH₵5.00, how many shirts can he now buy?

18.

Factorize: xy + 5x + 2y + 10.

(x + 5)(2y + 10)

(x + 2)(y + 10)

(x + 5)(y + 2)

(x + 2)(y + 5)

19.

Use the diagram below to answer the question below.

Find the angle marked b.

150^o

140^o

110^o

100^o

20.

A farmer left home at 4:35 am and arrived on his farm at 6:18 am. How long did he take to get to his farm?

1 hour 23 minutes

1 hour 43 minutes

2 hours 43 minutes

10 hours 53 minute

21.

The table shows the marks of some students in a test. Use the information to answer the question below.

Marks	0	1	2	3	4	5	6	7	8	9	10
Number of students	3	4	5	4	5	4	7	3	4	2	2

What is the modal mark?

22.

In the triangle XYZ, angle XZY = 90°, |XY| = 13 cm and |YZ| = 5cm.

What is the length of XZ?

4 cm

8 cm

12 cm

65 cm

23.

Amadu walked to a point such that he is always the same distance from two villages P and Q.

Which of the following best describes the locus of Amadu?

An arc passing through line PQ

A circle passing through line PQ

Straight line PQ

Perpendicular bisector of line PQ

24.

Find the Least Common Multiple (L.C.M) of 2, 3 and 5.

25.

A rectangular tank is 4 m long, 3 m wide and 2.5 m high. What is the volume of the tank?

24 m³

30 m³

36 m³

48 m³

60 m³

26.

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

Find L + K.

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

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

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

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

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

27.

A car is travelling at 60 km per hour. How far does it travel in 2 $\frac{1}{2}$ hours?

30 km

60 km

120 km

150 km

28.

Araba and Ama share 20 oranges in such a way that Ama receives 12 oranges. Find the ratio of Araba's share to that of Ama.

2:5

3:5

3:2

2:3

29.

Arrange the following in descending order of magnitude:

0.32, $\frac{2}{5}$ , 27%, $\frac{1}{3}$ .

0.32, $\frac{2}{5}$ , 27%, $\frac{1}{3}$

0.32, $\frac{1}{3}$ , $\frac{2}{5}$ , 27%

27%, 0.32, $\frac{1}{3}$ , $\frac{2}{5}$

$\frac{2}{5}$ , $\frac{1}{3}$ , 0.32, 27%

30.

When twelve is subtracted from three times a certain number and the result is divided by four, the answer is eighteen. Find the number.

31.

In an examination, 25% of the candidates failed to obtain the pass mark. The number of candidates who passed was 150. How many candidates failed?

113

100

32.

Express 5 as a percentage of 4.

125%

120%

25%

20%

33.

If w = 12, x = 5, y = 6 and z = 4, find the value of wx - yz.

34.

Arrange the following integers from the least to the highest -4,9,-10,-7,and 2.

-10,-7,-4,2,9

-10,9,-7,-4,2

-4,-7,-10,2,9

2,-4,-7,9,-10

35.

Two bells P and Q ring at intervals of 3 hours and 4 hours, respectively. After how many hours will the two bells first ring simultaneously (at the same time)?

6 hours

8 hours

12 hours

24 hours

36.

Simplify $(3 \frac{1}{2} + 7) \div (4 \frac{1}{3} - 3)$

6 $\frac{7}{8}$

7 $\frac{7}{8}$

10 $\frac{1}{2}$

37.

Change 110011_two to number in base ten.

38.

In a class of 23 students, the girls were 7 more than the boys. How many boys were in the class?

39.

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.

40.

In the following diagram RS and WV are parallel lines. The value of the angle marked α is

38^o

52^o

58^o

64^o

THEORY QUESTIONS

(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)

Simplify: (4x + 2)(x - 2) - 3x²

(b)

The following are the angles formed at the center of a circle: 40^o, 60^o, 100^o, 3x^o and 5x^o.

Find the value of x.

(c)

The cost (C) in Ghana Cedis of producing a book of x pages is given by C = 25 + 0.6x.

(i)

Find the cost of producing a book with 220 pages.

(ii)

How many pages are in a book produced at a cost of GH₵ 145.00?

The table below gives the frequency distribution of the marks obtained in a class test by a group of 64 pupils.

Marks (Out of ten)	Frequency
2	9
3	14
4	13
5	10
6	5
7	8
8	2
9	3

(a)

Draw a bar chart for the distribution.

(b)

A pupil is chosen at random from the class. What is the probability that the pupil obtained 7 marks?

(a)

Simplify: 15(4-6) x 49 ÷ 7.

(b)

Expand and simplify: b(12a - 3)-(a - b)(3 + b).

(c)

Akosua walked for 3 hours at the rate of 1 $\frac{1}{2}$ km per hour from her village to Paamu to take a bus to Quamu. If the bus travelling at 15 $\frac{1}{2}$ km per hour takes 2 hours to travel from Paamu to Quamu.

(i)

what is the distance from Akosua's village to Quamu?

(ii)

how long would it take a man, riding a bicycle at 5 km per hour, to travel from Akosua's village to Quamu?

(a)

Copy and complete the table for the relation F = $\frac{9}{5}$ C + 32.

Where F and C are degrees Fahrenheit and degrees Celsius respectively.

°C	0	5	10	15	20	25	30
°F	32				68

(b)

Using a scale of 2 cm to 10 units on the vertical axis (°F) and 2 cm to 5 units on the horizontal axis (°C), draw a linear graph for the relation.

(c)

Use the graph to find the temperature in degrees celsius when F = 55 degrees.

(d)

Interpret the slope of the relation.

(a)

Mr. Mensah's farm is 20 km from his house. He uses his car to travel y km of the distance from his house and then walks 1 $\frac{1}{2}$ hours at the rate of 3 km per hour to get to his farm. Find y.

(b)

The perimeter of a square field is the same as that of a rectangular field. If the length of the rectangular field is 8km and the width is 5km, calculate the area of the square field.

(c)

Find the gradient of the line which passes through the points M(2,-1) and K(-3,6).