OBJECTIVE TEST

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

The following data show the marks of students in a test:

10,4,1,4,3,3,2,1,1,7,8.

Use the information to answer the question below.

If the pass mark is 4, find the number of students who scored more than the pass mark.

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)

Which of the following inequalities is represented by the number line?

x ≤ -3

x ≥ -3

x < -3

x > -3

x = -3

Arrange the following numbers in ascending order: $\frac{9}{5}$ ,1.88, $\frac{15}{8}$

$\frac{9}{5}$ , $\frac{15}{8}$ ,1.88

$\frac{15}{8}$ ,1.88, $\frac{9}{5}$

1.88, $\frac{9}{5}$ , $\frac{15}{8}$

$\frac{9}{5}$ ,1.88, $\frac{15}{8}$

The perimeter of a rectangle is 26 cm. If its length is 10 cm, find its area.

30 cm²

60 cm²

130 cm²

160 cm²

In an examination, Abu answered nine questions in 2 hours. He spent 20 minutes on the first question and the same time on each of the remaining questions.

How many minutes did he spend on each of the other question?

8.0 minutes

10.0 minutes

12.0 minutes

12.5 minutes

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

12%

13%

18%

The diagram is a square of side 2 cm in which is inscribed a circle with center O.

Use the information to answer the question below.

Find the area of the circle.

[Take π = $\frac{22}{7}$ ]

3.14 cm²

6.28 cm²

4.00 cm²

12.56 cm²

10.

Which of the following describes the relationship between the sets A and B in the Venn diagram below?

A ⊂ B

A ∩ B = 5

A ∩ B = ∅

A ∪ B = {1, 2, 3, 4, 5, 6, 7}

B ⊂ A

11.

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

12.

In the diagram above, the bearing of point B from A is

340^o

220^o

140^o

50^o

13.

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.

14.

Simplify $\frac{0.12 x 0.08}{2.40}$

0.4

0.04

0.004

0.0004

0.00004

15.

Eric and Ebo are to share an amount of ₵800,000.00 in the ratio 5:3 respectively. What will be Ebo's share?

₵30,000.00

₵50,000.00

₵300,000.00

₵500,000.00

16.

In the diagram above, PQSR is a trapezium. PQ is parallel to RS. ∠PQR = ∠QRS. What type of triangle is triangle RQS?

Isosceles

Scalene

Equilateral

Right–angled

Obtuse-angled

17.

The ratio 9 : x is equivalent to 36 : 20. What is the value of x?

18.

A match box contains 40 sticks. If 15 of them are spolit, find the probability that a stick chosen at random is not spoilt?

19.

Find the value of x in the diagram.

28^o

30^o

34^o

60^o

20.

Correct 0.003858 to three significant figures

0.00385

0.00386

0.0039

386

21.

Evaluate $\frac{2}{3}$ (27 - 12) - 6.

22.

The mean of the numbers 4, 3, 3, x is 5, find x

23.

Find the gradient of the line which passes through the points (2, 3) and (-4, 5).

-3

- $\frac{1}{3}$

$\frac{1}{3}$

24.

Evaluate

0.012

0.12

1.2

12.0

25.

Charles and Helen started a business with an amount of GH₵ 7,000.00. If their contributions were in the ratio 4:3 respectively, find Helen's contribution.

GH₵ 2,500.00

GH₵ 3,000.00

GH₵ 4,000.00

GH₵ 5,000.00

26.

The length of a field, 1.2 km long is represented on a map by a line 40 mm long. What is the scale of the map?

1 : 100

1 : 300

1 : 1000

1 : 3000

1 : 30000

27.

Express 25 as a percentage of 75.

300%

100%

50%

33.3%

25%

28.

Which of these best describes the given construction?

Bisecting a line

Constructing the bisector of a line segment

Constructing the perpendicular to a line

Constructing a perpendicular to a given line from a point outside the line

Constructing a perpendicular to a given line through a point on the line

29.

The area of a rectangle is 18 cm² . One of its sides is 9 cm long. Find its perimeter.

11 cm

18 cm

22 cm

36 cm

54 cm

30.

Find the solution set of 2x + 1 < 5 in the domain {-1, 0, 1, 2, 3}.

{-1, 1, 3}

{-1, 0, 1}

{-1, 1, 2}

{0, 1, 2}

31.

In an enlargement, the area of the object was multiplied by 144 to get the area of the image. Find the scale factor of the enlargement.

144

32.

Find the interest on GH₵ 400.00 for 2 years at 10% simple interest per annum.

GH₵ 8.00

GH₵ 40.00

GH₵ 80.00

GH₵ 60.00

33.

Given that m = $\frac{b}{2}$ - t, make t the subject.

t = $\frac{b - 2m}{2}$

t = $\frac{2m - b}{2}$

t = $\frac{2b - m}{2}$

t = $\frac{b + 2m}{2}$

34.

Forty percent of students in a class speak Ga and seventy five percent speak Twi. Each student speaks at least one of the two languages.

Use the information above to answer the question below.

If there are 40 students in the class, how many of them speak Twi?

35.

Use the mapping below to answer the question below

-2	-1	0	2	3	4	......	x
↓	↓	↓	↓	↓	↓		↓
y	-1	1	5	7	9	......	21

Find the value of x

–7

36.

Use the information below to answer the question below

The scores obtained by 8 pupils in a test are 2, 3, 4, 5, 7, 8, 8 and 9

Find the mean score.

4.50

5.75

6.00

8.75

10.00

37.

13	12	17
E	F	10
11	16	G

Use the magic square above to answer the question below

Find the value of F.

38.

A sales girl receives a 5 % commission on all she sells. Find how much she has to sell to receive GH₵ 15.00.

GH₵ 750.00

GH₵ 300.00

GH₵ 75.00

GH₵ 30.00

39.

In the diagram above, A is the centre of the circle with radius 20 cm. If angle BAC is 90°, find the perimeter of the shaded sector.

[Take π = $\frac{22}{7}$ ]

31.4 cm

31.8 cm

40.0 cm

51.4 cm

71.4 cm

40.

State the property used in the operation a(b+c) = ab + ac.

Associative

Distributive

Commutative

Universal

THEORY QUESTIONS

(a)

(i)

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

(ii)

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

(b)

On the same graph sheet, plot the points A(2, 5), B(4, 3) and C(1, 1). Join the points A, B and C to form a triangle.

(c)

Reflect triangle ABC in the y-axis such that A→A₁, B→B₁ and C→C₁. Label the vertices of triangle A₁B₁C₁

(d)

Translate triangle A₁B₁C₁ by the vector $(\begin{matrix} 3 \\ -4 \end{matrix})$ such that A₁→A₂, B₁→B₂, and C₁→C₂. Label the vertices of triangle A₂B₂C₂

(e)

Join the vertices A₁B₁B₂ and C. Name the figure formed.

(f)

Find A₁B₁→

(a)

In a school of 255 students, 80 of them study Arabic only and 125 study French only. Each student studies at least one of the two subjects.

(i)

Draw a Venn diagram to represent the information.

(ii)

How many students study

(α)

both subjects?

(β)

French?

(b)

Make h the subject of v = $\frac{1}{3}$ πr²h.

(c)

A bookseller bought 80 copies of books at GH₵ 3.50 per copy. He sold each of them at GH₵ 4.20. Find

(i)

the total cost price;

(ii)

his percentage profit.

(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 = $\frac{22}{7}$ ]

(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)

A man deposited ₵350,000.00 in his account in a bank. A simple interest of 4% per annum was paid on his deposit. Calculate the total amount at the end of 4 years.

(b)

The cost of sending a telegram is ₵500 for the first 12 words and ₵25.00 for every extra word.

Find the cost of sending a telegram containing 20 words.

(a)

Using a ruler and a pair of compasses only, construct

(i)

triangle ABC such that AB = 12cm, AC = 8cm and BAC = 30°;

(ii)

a perpendicular from C to meet AB at M.

(b)

Measure

(i)

angle ABC;

(ii)

|CM|.

(c)

Calculate the area of triangle ABC.