OBJECTIVE TEST

Make n the subject of the relation 2n + 5 = 7a

n = $\frac{1}{2}$ (7a + 5)

n = $\frac{1}{2}$ (7a - 5)

n = 2(7a + 5)

n = 2(7a - 5)

n = 7a - 5

The points M(1, 3) and N(4, 5) are in the number plane. Find the vector MN→.

$(\begin{matrix} 3 \\ 2 \end{matrix})$

$(\begin{matrix} -3 \\ -2 \end{matrix})$

$(\begin{matrix} 5 \\ 8 \end{matrix})$

$(\begin{matrix} -5 \\ -8 \end{matrix})$

The rule of mapping is x → 2x² - 1. What number does x = 2 map to?

Find the circumference of a circle with radius 3.5 cm.

[Take π = $\frac{22}{7}$ ]

11 cm

22 cm

35 cm

38.5 cm

13	12	17
E	F	10
11	16	G

Use the magic square above to answer the question below

Find the value of F.

Write ₵35,632.00 correct to the nearest thousand cedis.

₵40,000.00

₵36,000.00

₵35,600.00

₵35,000.00

₵30,000.00

The addition below was carried out in base x. Find x.

	2	4	3
	2	2	1
1	0	1	4	_x

Four

Five

Six

Seven

Find the simple interest on GH₵ 600.00 saved for 2 years 8 months at 5% per anum.

GH₵ 64.00

GH₵ 80.00

GH₵ 84.00

GH₵ 92.00

Expand (6 – x)(6 + y)

36 – 6x + 6y – xy

36 – 6x – 6y + xy

36 – 6x – xy

36 + 6y – xy

10.

Subtract (7x-3) from (5-3x).

10x-8

4x-8

8-10x

2-10x

11.

The mean of the numbers 5, 2x,4 and 3 is 5. Find the value of x.

12.

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.

How many pupils study only Government?

13.

The volume of a cylinder is 40Π cm³. If the height of the cylinder is 10 cm, find the base radius

1 cm

4 cm

2 cm

3 cm

14.

Simplify: -27 + 18 - (10 - 14) - (-2)

-3

-7

-11

-35

15.

200 bottles of equal capacity hold 350 litres of water. How much water does each bottle hold?

1750 litres

175 litres

17.5 litres

1.75 litres

0.17 litres

16.

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

17.

The area of a rectangular card is 15 cm². If each side of the card is enlarged by a scale factor 3, find the area of the enlarged card.

45 cm²

75 cm²

90 cm²

135 cm²

18.

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

19.

Use the mapping below to answer the question below.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	-4	-2	0	2	m

Find m.

–4

20.

Simplify

21.

Find the image of P in the mapping below:

1	2	3	P
↓	↓	↓	↓
3	5	7	?

P² + 2

P² + 1

2P + 1

P + 2

P² - 2

22.

In the diagram, AB is parallel to DE, angle ABC = 81^o and angle DCE = 20^o.

Use the information to answer the equestion below:

Find the value of y.

20^o

81^o

79^o

101^o

23.

Find the simple interest on ₵28,000.00 at 3 $\frac{1}{2}$ % per annum for 6 months.

₵490.00

₵560.00

₵980.00

₵4,000.00

₵5,880.00

24.

A tank in the form of a cuboid has length 6 m and breadth 4 m. If the volume of the tank is 36 m³, find the height.

0.67 m

1.5 m

1.8 m

5.0 m

25.

A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?

26.

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

27.

Arrange the following from the highest to the lowest: $\frac{2}{3}$ , -9, $\frac{3}{5}$ and 0.

-9, $\frac{3}{5}$ , $\frac{2}{3}$

-9, 0, $\frac{3}{5}$ , $\frac{2}{3}$

$\frac{3}{5}$ , $\frac{2}{3}$ , 0, -9

$\frac{3}{5}$ , $\frac{2}{3}$ , -9, 0

$\frac{2}{3}$ , $\frac{3}{5}$ , 0, -9

28.

Given the relation $\frac{1}{y}$ = $\frac{1}{c}$ + $\frac{1}{x}$ .

Which of the following expressions is equal to y?

p>c + x

$\frac{2}{cx}$

$\frac{c + x}{2}$

$\frac{cx}{c + x}$

$\frac{c + x}{cx}$

29.

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

30.

If P = {7,11,13} and Q = {9,11,13}, find P ∪ Q

{7,9,11,13}

{7,9}

{11,13}

{9,13}

31.

Calculate the bearing of town P from town K in the diagram below.

005°

085°

095°

265°

275°

32.

A typist charges ₵2,000.00 for the first 5 sheets typed and ₵600.00 for any additional sheet. How much will Barbara pay, if she presents 20 sheets for typing?

₵8,000.00

₵11,000.00

₵12,000.00

₵19,000.00

33.

Simplify: 7(y + 1) – 2(2y + 3)

3y – 5

3y – 2

3y + 1

3y + 4

3y + 13

34.

Find the least common multiple (LCM) of 4, 6 and 10

35.

Mr. Agyekum has 11 of the GH₵ 20.00 notes, 15 of the GH₵ 10.00 notes and 6 of the GH₵ 5.00 notes. How much does Mr. Agyekum have altogether?

GH₵ 280.00

GH₵ 320.00

GH₵ 360.00

GH₵ 400.00

36.

Which of the following best describes the construction?

Constructing a perpendicular at P

Constructing the bisector of line PQ

Constructing an angle of 30^o at P

Constructing an angle of 45^o at P

37.

Evaluate $\frac{4}{5}$ - $\frac{1}{3}$ + $\frac{2}{9}$

$\frac{5}{11}$

$\frac{11}{45}$

$\frac{31}{45}$

$\frac{41}{45}$

38.

If the median of the numbers 9,10,12,x, 20 and 25 is 14, find the value of x.

39.

Express 24 as a product of prime factors.

2 × 3

2² × 3

2³ × 3

2² × 3²

2² × 3³

40.

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

What is the modal mark?

THEORY QUESTIONS

An aeroplane left the Kotoka International Airport on Wednesday at 7:26 pm and reached its destination after nine hours thirty minutes. Find the day and the time the aeroplane reached its destination.

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet for -10 ≤ x ≤ 10 and -12 ≤ y ≤ 12.

Draw on this graph indicating the coordinates of all vertices, the quadrilateral ABCD with vertices A(0,10),B(-6,-2),C(-3,-11) and D(4,3).

iii

Draw the line x = -2 to meet AB at P and CD at Q.

Measure angles BPQ and PQD.

State the relationship between:

angles BPQ and PQD;

lines AB and CD.

(a)

(i)

Find the least Common Multiple (L.C.M.) of 9, 18 and 16.

(ii)

Arrange $\frac{8}{9}$ , $\frac{7}{18}$ and $\frac{10}{16}$ in ascending order of magnitude.

(b)

Using a ruler and a pair of compass only,

(i)

construct a triangle PQR with length PQ = 10 cm, angles QPR = 45^o and PQR = 60^o.

(ii)

Construct the perpendicular bisectors of PR and RQ to meet at T.

(iii)

Measure the length of TP.

(a)

Using a scale of 2 cm to 1unit on both axes, draw two perpendicular lines OX and OY on a graph sheet.

(b)

On this graph sheet, mark the x-axis from –5 to 5 and the y-axis from –6 to 6.

(c)

Plot on the same graph sheet the points A(-2, 4) and B(4, -5). Join the points A and B with the help of a ruler.

(d)

Using the graph , find

(i)

the gradient (slope) of the line AB;

(ii)

the value of x, when y = 0;

(iii)

the value of y when x = 2

(e)

Plot on the same graph sheet the points C(-3, -1) and D(3, 3). Join the points C and D. with the help of a protractor, measure the angle between the lines AB and CD. What is the gradient of the line CD?

(a)

Solve for x, if $\frac{1}{3}$ x + 1 $\frac{2}{3}$ < - $\frac{3}{4}$ x - $\frac{1}{2}$

(b)

The following shows the distribution of marks of students in an examination.

6	43	26	18	27
42	8	22	31	39
55	44	37	47	59
10	12	36	53	48

(i)

Make a stem-and-leaf plot of the marks above.

(ii)

Find the probability of selecting a student who scored between 40 and 50.

(iii)

Find the number of students who passed the examination, if the pass mark was 30.

(a)

In a class of 39 students, 19 offer French and 25 offer Ga. Five students do not offer any of the two languages. How many students offer only French?

(b)

In the diagram above, AC is parallel to DG, angle BFG = 118° and angle ABE = 83°.

Find the value of

(i)

angle CBF;

(ii)

(c)

A fair die is thrown once.

(i)

Write down the set of all the possible outcomes.

(ii)

Find the probability of obtaining a multiple of 2.

(iii)

What is the probability of obtaining a prime number?

The table below shows the marks scored out of 10 by some candidates in a test.

Mark	1	2	3	4	5	6	7	8
Number of candidates	2	3	5	7	8	13	7	5

(a)

From the table, find

(i)

the modal mark;

(ii)

how many candidates took the test;

(iii)

the mean mark for the test.

(b)

If 20% of the candidates failed,

(i)

how many failed?

(ii)

What is the least mark a candidate should score in order to pass?