OBJECTIVE TEST

Mark is 30 years old. Yaw is half as old as Mark. Paul is 10 years older than Yaw. How old is Paul?

30 years

25 years

20 years

15 years

10 years

In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

Use this information to answer the question below.

How many pupils do not read either Mathematics or English?

In the diagram, P→P¹, Q→Q¹, R→R¹, where P¹Q¹R¹ is an enlargement.

What is the scale factor of this enlargement?

–2

$\frac{1}{3}$

$\frac{1}{2}$

Find the sum of 124.3, 0.275 and 74.06. (Correct your answer to one decimal place)

198.6

198.7

892.0

892.4

The length of a spring when a mass of n kg is hung on it is L = (74 + 15n) mm. What is the length of the spring when a mass of 1.20kg is hanged on it?

75.20 mm

89.00 mm

92.00 mm

97.00 mm

104.00 mm

A basket contains 450 oranges, if each orange costs ₵15.00, find the total cost of the oranges.

₵30.00

₵465.00

₵435.00

₵675.00

₵6,750.00

The marks obtained by six boys in a test are: 14, 20, 25, 15, 28 and 16. Find the mean mark.

19.67

22.00

23.20

26.40

28.00

If r = $(\begin{matrix} 2 \\ -5 \end{matrix})$ and s = $(\begin{matrix} -2 \\ 5 \end{matrix})$ , calculate 2r - 3s.

$(\begin{matrix} -10 \\ -25 \end{matrix})$

$(\begin{matrix} -2 \\ -25 \end{matrix})$

$(\begin{matrix} 10 \\ -25 \end{matrix})$

$(\begin{matrix} 10 \\ 25 \end{matrix})$

The population of Ghana was 5,000,000 in 1957. The population in 1998 was estimated to be 17,000,000. Find the percentage increase in population from 1957 to 1998.

2.4%

24%

240%

2400%

10.

A table which cost ₵2,400.00 to manufacture was sold for ₵3,000.00. Find the profit percent.

80%

25%

24%

20%

11.1%

11.

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

12.

Simplify $\frac{6^{2}}{2^{2} x 3}$

13.

Simplify: 11 – (11 – 4) + 13.

–7

–17

14.

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Use this information to answer the question below

What is the probability that a boy chosen at random scored 3?

$\frac{1}{27}$

$\frac{1}{18}$

$\frac{1}{10}$

$\frac{1}{5}$

$\frac{1}{3}$

15.

Ama has 4 one cedi notes and orders an ice cream for GH₵ 1.75 and two toffees at 50 GP each.

How much does she have left?

GH₵ 1.25

GH₵ 1.75

GH₵ 2.25

GH₵ 2.75

16.

Find the highest common factor of 15 and 21.

17.

The number of pupils who attended hospital from eight classes on a particular day are:

1,5,3,1,7,5,1,1.

What is the modal number?

18.

If 5 boys took 14 days to cultivate a piece of land, how long will it take 7 boys working at the same rate to cultivate the land?

14 days

12 days

10 days

8 days

19.

The table below shows the average rainfall in a town from March 2003 to August 2003.

Use it to answer the question below.

Month	March	April	May	June	July	August
Rainfall (mm)	96	147	281	452	265	139

What was the mean rainfall in the town over the six months?

230 mm

281 mm

366 mm

452 mm

20.

A man spends GH₵ 560.0 out of his weekly wage of GH₵ 700.00 and saves the rest. What percentage did he save?

10%

15%

20%

25%

21.

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, $\frac{15}{8}$

22.

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.

7 hours 33 minutes

7 hours 53 minutes

8 hours 13 minutes

8 hours 20 minutes

23.

Find the bearing of Q from P in the diagram above.

030°

060°

070°

090°

150°

24.

What is the value of the digit 8 in the number 78000?

8 ten thousands

8 thousands

8 hundreds

8 tens

25.

What is the value of x in the relation 5^x = 125?

26.

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

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

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

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

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

27.

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

-3

- $\frac{3}{4}$

$\frac{5}{3}$

28.

Which of the following represents the net of a pyramid?

29.

Find how many pieces of cloth 5 $\frac{1}{2}$ m long that can be cut from a roll of cloth 121 m long.

665 $\frac{1}{2}$

115 $\frac{1}{2}$

30.

Which of the following is true?

{0, 2, 6, 9, 12} is a subset of even numbers.

{-1, 0, 2, 3, 5} is a subset of odd numbers.

{-2, -1, 1, 3, 9} is a subset of integers.

{2, 3, 5, 7, 27} is a subset of prime numbers.

{9, 18, 21, 27, 36} is a subset of multiples of 9.

31.

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

32.

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

33.

If 15% of the length of a rope is 75 cm, find half of the length of the rope.

500 cm

250 cm

150 cm

100 cm

34.

How many edges has a triangular prism?

35.

Express 3/8 as a decimal fraction.

0.429

0.375

0.365

0.625

36.

Find the rule of the mapping:

1	2	3	4	5	x
↓	↓	↓	↓	↓	↓
5	8	11	14	17	y

x + 2

x + 4

2x + 3

3x + 2

37.

If 6:8 = r:48, find the value of r

38.

Simplify 200 x 0.01 x 372 leaving your answer in standard form.

74.4 x 10¹

7.44 x 10¹

7.44 x 10²

7.44 x 10⁴

39.

Use the mapping below to answer the question below.

2³ → 8

2² → 4

2¹ → 2

2⁰ → a

2^-1 → b

What is the value of b?

–2

$\frac{1}{4}$

$\frac{1}{2}$

40.

Which of the following dimensions of a triangle form the sides of a right angled triangle?

3cm, 4cm, 6cm

3cm, 5cm, 7cm

5cm, 12cm, 13cm

5cm, 13cm, 17cm

THEORY QUESTIONS

(a)

(i)

Using a pair of compasses and ruler only, construct triangle XYZ with XZ = 12cm, XY = 10cm and angle XYZ = 90°.

(ii)

Measure YZ.

(iii)

Calculate the area of triangle XYZ

(iv)

Measure angle ZXY.

(b)

An isosceles triangle has a perimeter of (9y – 15) cm.

What is the length of each of the two equal sides, if its third side is (3y – 7) cm?

(a)

A car runs on the average at 45 km to 5 litres of fuel. Calculate how many litres of fuel are required for a journey of 117 km.

(b)

(i)

Solve for x in the inequality $\frac{2}{3}$ (2x + 5) ≤ 8 $\frac{2}{3}$

(ii)

Illustrate the solution on the number line.

(c)

A factory increased its production by 22 $\frac{1}{2}$ % and produced 49,000 tonnes. How many tonnes was it producing before?

(a)

The diagram AEBCD shows the shape of Mr. Awuah's garden, which is made up of a rectangular portion ABCD and a triangular portion AEB.

|AB| = |DC| = 90 m, |AD| = |BC| = 70 m, |AE| = 48.5 m and |EB| = 50 m. The height of the triangle is 20 m.

Find

(i)

area of ABCD;

(ii)

area of AEB;

(iii)

total area of the garden;

(iv)

perimeter of the garden.

(b)

Find the value of x if $\frac{3x - 2}{5}$ is greater than $\frac{1 - 4x}{10}$ by 5

(a)

Using a pair of compasses and ruler only,

(i)

Construct the triangle ABC with |AB| = 8 cm, |BC| = 8cm and |AC| = 7cm.

(ii)

Bisect angle ABC and let the bisector meet AC at D. Produce |BD| to P such that |BD| = |DP|. Join AP and CP.

(b)

Measure

(i)

angle ADB;

(ii)

|AP|.

(c)

What kind of quadrilateral is ABCP?

(a)

If 4m - 2(3 + 2m) + m(2m + 4) = 0, find the values of m.

(b)

At a political rally, there were 240 women, 200 men, 160 boys and 120 girls.

(i)

Draw a pie chart to illustrate the information.

(ii)

What percentage of the people at the rally were females?

The table shows the number of students in a JSS class who prepared various dishes for their practical.

Dishes	No. of students
Fufu and light soup	5
Banku and Okro stew	20
Fried rice	30
Fried plantain and beans	25
Boiled yam and palaver sauce	10

(a)

(i)

Draw a pie chart for the distribution above.

(ii)

What dish was prepared most?

(iii)

What percentage of students prepared fried rice

(b)

What is the probability that a student chosen at random cooked fried plantain and beans?