OBJECTIVE TEST

If (x-3)² = 16, find the positive value of x

The length of a rectangle is three times its width. If its perimeter is 24 cm, find its width.

3 cm

4 cm

6 cm

8 cm

Simplify 6(7a + 4) - 3(8a + 9)

18a - 3

18a + 51

42a - 27

66a -3

Evaluate: (0.07 x 0.02) ÷ 14.

0.01

0.001

0.0001

0.00001

Simplify: $\frac{1}{3} (\frac{1}{2} - \frac{1}{3}) - \frac{1}{3} (\frac{1}{3} - \frac{1}{2})$

- $\frac{1}{9}$

- $\frac{1}{18}$

$\frac{1}{18}$

$\frac{1}{9}$

The instrument used to measure the angle between two lines that meet at a point is known as a

pair of compasses.

set-square.

protractor.

pair of dividers.

Evaluate

Use the following information to answer the question below.

The relation between the Celsius (C) and Fahrenheit (F) scale of temperature is given by:
C = $\frac{5}{9}$ (F - 32).

If C is 40, F will be

104.0

78.4

72.0

65.6

40.0

Simplify $\frac{1}{2}$ (1 $\frac{1}{2}$ + $\frac{3}{4}$ ÷ $\frac{1}{4}$ )

1 $\frac{1}{2}$

2 $\frac{1}{4}$

2 $\frac{3}{4}$

4 $\frac{1}{2}$

10.

The image of P(10, -3) when translated by the vector r is P’ (4, 5). Find r.

11.

If $\frac{3}{15}$ is equivalent to $\frac{45}{a}$ , find a

225

150

135

12.

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.

How many children are 7 or more years old?

13.

Expand (a + 2b)(a - 2b)

a² - 4ab - 4b²

a² + 4ab - 4b²

a² - 4b²

a² + 4b²

14.

Express $\frac{3}{8}$ as a percentage.

0.373%

12%

25%

37 $\frac{1}{2}$ %

40%

15.

Use the information below to answer the question below.

The ages in years of 9 children at a birthday party are 2, 3, 3, 3, 4, 5, 5, 5, 6.

If a child is picked at random, what is the probability that he is 5 years old?

$\frac{2}{9}$

$\frac{1}{3}$

$\frac{4}{9}$

$\frac{5}{9}$

$\frac{2}{3}$

16.

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

{2}

{3}

{4}

{5}

17.

The table below shows the average monthly rainfall at Nankese from March, 1996 to August, 1996.

Month	Mar	Apr	May	Jun	Jul	Aug
Rainfall (mm)	99	145	227	450	267	142

Use it to answer the question below.

What was the total amount of rainfall recorded in April, May and July?

422 mm

639 mm

72 mm

994 mm

1,139 mm

18.

How many edges has a cuboid?

19.

Describe the set of M = {2, 3, 5, 7, 11, 13, 17, 19} in words.

M = {odd numbers less than 20}

M = {factors of 19}

M = {prime numbers less than 20}

M = {whole numbers less than 20}

20.

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

$\frac{-5}{7}$

$\frac{-7}{5}$

$\frac{5}{7}$

$\frac{7}{5}$

21.

If A = {2,6,8} and B = {4,6,8,10}, which of the following statements is true?

A ⊂ B

A ∩ B = {2,6,8}

A ∪ B = {2,4,6,8,10}

A ⊃ B

22.

What time is the clock below showing?

4:30

4:15

3:40

3:20

3:04

23.

Convert 11001_two to a decimal numeral.

24.

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

$\frac{1}{12}$

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

25.

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

26.

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

140

160

360

400

600

27.

The sum of three numbers is 28,542. Two of the numbers are 10,250 and 9,750. Find the third number.

8,452

8,542

9,452

9,542

28.

A bus departed from Elmina at 9:15 pm and arrived in Accra at 2:45 am the next day.

How long did the journey take?

4 hours 20 minutes

4 hours 30 minutes

5 hours 30 minutes

5 hours 20 minutes

29.

How many faces has a rectangular pyramid?

30.

A man deposited an amount of ₵50,000.00 at a bank for 2 years at a rate of 20%. Find the simple interest.

₵1,000.00

₵2,000.00

₵10,000.00

₵20,000.00

₵200,000.00

31.

Find the value of the angle marked y in the diagram.

35°

43°

67°

78°

137°

32.

Calculate 82.5 ÷ 0.25, expressing the answer in the standard form

3.3 x 10^-3

3.3 x 10

3.3 x 10²

3.3 x 10³

33.

Simplify $\frac{2a}{3}$ - $\frac{(a - b)}{2}$

$\frac{a + 3b}{6}$

$\frac{a - 3b}{6}$

$\frac{a - b}{6}$

$\frac{7a - 3b}{6}$

34.

If $\frac{1}{k}$ = $\frac{1}{k_{1}}$ + $\frac{1}{k_{2}}$ , find k when k₁ = 1 and k₂ = 2.

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{3}{2}$

35.

Evaluate $\frac{1}{3}$ [(5 – 1) – (2 – 7)]

-3

-1

36.

135 pencils were to be packed into boxes. Each box could take 12 pencils. Find the number of boxes that were fully packed.

10 boxes

11 boxes

12 boxes

13 boxes

37.

Solve the equation $\frac{1}{5}$ (2 + y) = $\frac{1}{2}$ (y -1).

-3

- $\frac{3}{4}$

$\frac{5}{3}$

38.

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

39.

Not drawn to scale

In the diagram, PQR is a right-angled triangle with |PR| = 15 cm and |QR| = 12 cm. Find the length PQ.

3.0 cm

8.0 cm

9.0 cm

19.2 cm

40.

Kofi bought four pencils at ₵200.00 each and five pens at ₵350.00 each. How much did he pay altogether?

₵2,400.00

₵2,450.00

₵2,550.00

₵2,650.00

THEORY QUESTIONS

(a)

The marks obtained by 20 pupils in a test were as follows:

4	8	7	6	2
1	7	4	3	7
6	4	7	5	2
7	5	4	8	3

(i)

Construct a frequency distribution table for this data.

(ii)

What is the mode of the distribution?

(iii)

Calculate the mean mark.

(iv)

What percentage of the pupils passed, if the pass mark is 6?

(v)

What is the probability that a pupil selected at random scored not more than 5 marks?

(b)

Simplify 7 $\frac{2}{3}$ - 4 $\frac{5}{6}$ + 2 $\frac{3}{8}$

Using a ruler and a pair of compasses only,

(a)

Construct triangle PQR such that the length of PQ = 10 cm, angle QPR = 90° and angle PQR = 30°.

Measure the length of PR.

(b)

Bisect the angle QRP to meet PQ at M.

(c)

With M as centre, and radius MP draw a circle.

(d)

Measure the radius of the circle.

(a)

Solve the equation: $\frac{2x - 1}{3}$ - $\frac{x - 2}{4}$ = 1

(b)

Factorize completely 2ap + aq - bq – 2bp

(c)

Given that m = -2 and n = $\frac{3}{4}$ , find the value of

(i)

m²(n – 1)

(ii)

n² - $\frac{3}{m}$

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?

Using a ruler and a pair of compasses only,

(a)

(i)

construct a triangle ABC such that |AB| = 8 cm, angle ABC = 60° and |BC| = 8 cm.

(ii)

What type of triangle is triangle ABC?

(b)

construct the bisector of angle BAC to meet |BC| at D. Measure |AD|.

(c)

construct the perpendicular bisector of |BA| to meet |AD| at O.

(d)

Using O as centre and radius OD, draw a circle to touch the three sides of the triangle.

(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.