OBJECTIVE TEST

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

If 2x = 5(x - 2) + 7, find the value of x.

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

-1

5 $\frac{2}{3}$

The bar chart shows the mark distribution of pupils in a test. Use it to answer the question below

How many pupils took the test?

In an examination, 60% of the candidates passed. The number that passed was 240. How many candidates failed?

140

160

360

400

600

Mensah packed 1,800 apples into a number of boxes. If each box contained 120 apples, how many boxes were fully packed?

Which of the following is equivalent to 2² × 6³?

2⁶ × 3³

2⁵ × 3³

2⁴ × 3

2³ × 3³

Find the tangent of the angle marked y in the diagram below.

$\frac{3}{5}$

$\frac{3}{4}$

$\frac{4}{5}$

$\frac{4}{3}$

$\frac{5}{3}$

Solve the inequality 2x + 10 ≥ $\frac{7}{2}$ x - 5.

x ≥ 10

x ≤ 10

x ≤ 40

x ≥ 40

The angle formed by one complete revolution is equivalent to

one right angle

two right angles

three right angles

four right angles

10.

Madam Nancy wants to know which of the teachers in her school is liked best by most of the students. Which of the following methods is most suitable for collecting the data?

Experiment

Database

Questionnaire

Observation

11.

Simplify $\frac{4}{3}$ x - $\frac{2}{9}$ x

$\frac{2}{9}$ x

$\frac{2}{3}$ x

$\frac{10}{9}$ x

$\frac{14}{9}$ x

12.

Find the highest (greatest) common factor of 63 and 81.

13.

Solve 25x + 450 ≤ 3000.

x ≥ 102

x ≤ 102

x ≥ 138

x ≤ 138

14.

If the gradient of a straight line is zero, then the line

is vertical.

is horizontal.

falls to the right.

rises to the right.

15.

If a = 2² × 2³ ÷ 2⁴, find the value of a

2⁹

2⁵

2²

16.

Find the missing members in the set {5, 10, 15, _ , 25, _ , _ ,40}

20 and 30

30 and 35

20 and 35

20, 30 and 35

30, 35 and 45

17.

In the relation v = u+ at, find v when u = 6, a = 10 and t = 2

120

18.

Which of the following is the set of prime factors of 12?

{2, 3}

{1, 2, 3}

{1, 2, 4, 6}

{2, 3, 4, 6}

19.

Use the mapping below to answer the question below.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	-4	-2	0	2	m

What is the rule for this mapping?

x→ 2(x - 3)

x→ x - 5

x→ 2(x - 2)

x→ 2x-3

20.

A fair coin and a fair die are rolled together once. Find the probability of obtaining a tail and an odd number.

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{1}{2}$

21.

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

340^o

220^o

140^o

50^o

22.

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

23.

Evaluate $(\frac{2}{3} - \frac{1}{4}) \div \frac{5}{6}$ .

$\frac{1}{2}$

$\frac{1}{5}$

$\frac{2}{3}$

-2

-12

24.

If 4956 × 25 = 123,900, evaluate 495.6 × 2.5 leaving the answer in standard form.

1.239 × 10²

1.239 × 10³

1.239 × 10⁴

1.239 × 10⁵

25.

Which of the following can be made from the net below?

Triangular prism

Square pyramid

Triangular pyramid

Cuboid

26.

An angle which is greater than 180^o but less than 360^o is

a right angle.

an acute angle.

an obtuse angle.

a reflex angle.

27.

Find the missing number in the following binary operation:

	1	1	0	0	1	1	0
-	*	*	*	*	*	*	*
		1	1	1	0	1	1

111011

101001

100011

101110

101011

28.

In the diagram, ∠ QPR = 30° and |QR| = 5 cm.

[Take sin 30° = $\frac{1}{2}$ ].

Find the length of PQ.

2.5 cm

5.0 cm

12.0 cm

10.0 cm

29.

If the set P = {1, 2, 3, 4, 5} which of the following statements best describes P?

Set of whole numbers up to 6

Set of counting numbers less than 6

Set of counting numbers greater than 6

Set of integers less than 6

30.

A trader sold half of a piece of cloth and used two-fifths of the remaining to sew a dress.

What fraction of the cloth was left?

$\frac{1}{10}$

$\frac{3}{10}$

$\frac{1}{5}$

$\frac{1}{2}$

31.

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)

32.

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

-2>y>2

-2≤ y < 2

-2 ≥ y > 2

-2 < y ≤ 2

33.

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

Kwaku earns GH₵630.00 a month. How much of this does he spend on food?

GH₵140.00

GH₵157.00

GH₵210.00

GH₵350.00

34.

One of the factors of the expression 4m² + 12m - 8m - 24 is (4m - 8). Find the other factor.

m - 3

m + 3

2m + 3

2m - 3

35.

Express 34m 5cm 6mm in millimetres

340506 mm

342506 mm

34056 mm

30456 mm

34565 mm

36.

Which of the following numbers is the largest?

-70

-50

-3

-2

37.

Arrange the following fractions in descending order of magnitude:

$\frac{2}{3}$ , $\frac{5}{7}$ , $\frac{2}{5}$ , $\frac{1}{2}$ .

$\frac{5}{7}$ , $\frac{2}{5}$ , $\frac{2}{3}$ , $\frac{1}{2}$

$\frac{5}{7}$ , $\frac{2}{3}$ , $\frac{1}{2}$ , $\frac{2}{5}$

$\frac{1}{2}$ , $\frac{2}{5}$ , $\frac{5}{7}$ , $\frac{2}{3}$

$\frac{1}{2}$ , $\frac{5}{7}$ , $\frac{2}{3}$ , $\frac{2}{5}$

38.

Kofi bought 4 books at an average price of ₵2,500.00. If the total cost of 3 of the books was ₵6,500.00, find the cost of the fourth book.

₵3,500.00

₵4,000.00

₵4,500.00

₵6,500.00

₵10,000.00

39.

Write 0.01723 in standard form.

0.01723 x 10^-2

0.01723 x 10²

1.723 x 10^-2

1.723 x 10²

40.

The area of a rectangle is 18 cm². If one of its sides is 2cm long, find its perimeter.

18 cm

20 cm

22 cm

36 cm

THEORY QUESTIONS

(a)

Copy and complete the table for the relation y = 5 - 2x for -3 ≤ x ≤ 4.

x	-3	-2	-1	0	1	2	3	4
y	11			5		1		-3

(b)

Using a scale of 2 cm to 1 unit on th x-axis and 2 cm to 2 units on the y-axis, draw on a graph sheet two perpendicular axes ox and oy for -5 ≤ x ≤ 5 and -12 ≤ y ≤ 12.

(c)

(i)

Using the table, plot all the points of the relation y = 5 - 2x.

(ii)

Draw a straight line through all the points.

(d)

Using the graph, find the:

(i)

value of y when x = -2.6;

(ii)

value of x when y = -2.8;

(iii)

gradient of the line.

(a)

Using a scale of 2 cm to 1 unit on both axes, draw on a graph sheet two perpendicular axes 0x and 0y for -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5.

(i)

Plot, indicating the coordinates of all points P(1,1), Q(1,2),R(2,2) and S(2,1) on the graph sheet. Join the points to form square PQRS.

(ii)

Draw and indicate clearly all coordinates, the image P₁Q₁R₁S₁ of square PQRS under an enlargement from the origin with a scale factor of 2, where P → P₁,Q → Q₁, R → R₁ and S → S₁.

(iii)

Draw and indicate clearly all coordinates, the image P₂Q₂R₂S₂ of square P₁Q₁R₁S₁ under a reflection in the x-axis where P₁ → P₂,Q₁ → Q₂, R₁ → R₂ and S₁ → S₂.

(b)

Using the graph in (a), find the gradient of line R₂S.

The diagram shows a running track ABCDEFA. AB and ED are the straight sides. The ends AFE and BCD are semi circular shapes.

|AB| = |ED| = 90 m and |AE| = |BD| = 70 m.

Find

(a)

the total length of the two semi circular ends, AFE and BCD;

(b)

the perimeter of the running track ABCDEFA;

(c)

the total area of the running track ABCDEF.

[Take π = $\frac{22}{7}$ ]

The table below shows the distribution of pupils in a JSS form one (1) class who speak some of the Ghanaian languages.

Ghanaian Language	No. of students who speak the language
Nzema	5
Ga	20
Twi	30
Ewe	25
Fante	10

(a)

Draw a pie chart for the distribution.

(b)

What is the modal Ghanaian language?

(c)

If a pupil is selected at random from the form, what is the probability that he speaks Ga?

(a)

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OX and OY on a graph sheet. On the same graph sheet, mark the x-axis from -10 to 10 and the y-axis from -10 to 10.

(i)

Plot A(2, 2), B(6, 2) and C(4, 6). Join AB, BC and AC

(ii)

Draw the image triangle A₁B₁C₁ of triangle ABC under a clockwise rotation of 90° about the origin, where A→A₁, B→B₁ and C→C₁.

(iii)

Draw the image triangle A₂B₂C₂ of triangle ABC under a reflection in the y-axis, where A→A₂, B→B₂ and C→C₂

(b)

When 12 is added to a certain number and the sum is multiplied by 4, the result is 60. Find the number

(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?