OBJECTIVE TEST

The volume of water in a rectangular tank is 30 cm³ .The length of the tank is 5 cm and its breadth is 2 cm. Calculate the depth of water in the tank.

4.0 cm

3.0 cm

5.0 cm

6.0 cm

Write 39.975 km correct to three significant figures.

39 km

39.975

49 km

40.0 km

40.9 km

A cylinder has a radius 6 cm and height 7 cm. Find its volume.

[Take π = $\frac{22}{7}$ ]

132 cm³

264 cm³

294 cm³

792 cm³

924 cm³

Find the smallest number which is divisible by 16 and 20?

120

160

If A = {18, 19, 20} and B = {15, 16, 17}, find A∩B.

{15, 16, 17, 18, 19, 20}

{15, 16, 18, 19}

{18, 19}

{}

The dimensions of a cuboid are 2 cm, P cm and 5 cm. Which of the following is an expression for the volume of the cuboid?

7P cm³

(7 + P) cm³

10P cm³

(10 + P) cm³

The ratio of boys to girls in a school is 9 : 11. If there are 400 pupils in the school, how many boys are there?

120

180

220

280

The ages of the members of a social club are 20 years, 55 years, 60 years and 25 years. Find the mean age of the members of the club.

20 years

30 years

40 years

50 years

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

How much does Mr. Awuah spend on rent?

₵90.00

₵450.00

₵4,500.00

₵9,000.00

₵16,200.00

10.

find the value of n.

0.0105

0.105

105

1050

11.

The pie chart is to be drawn from the data in the following table:

Cassava	20%
Yam	17%
Plantain	28%
Maize	35%

What will be the value of the angle of the sector for maize?

126.0 ^o

100.8 ^o

72.0 ^o

61.2 ^o

12.

Find the diameter of a circle whose circumference is 88 cm. [Take π = 22⁄7]

14 cm

22 cm

28 cm

82 cm

13.

The pie chart shows the monthly expenditure of Mr. Awuah whose monthly income is ₵18,000.00.

Use the chart to answer the question below.

What fraction of Mr. Awuah's income is spent on food?

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{2}{5}$

$\frac{1}{2}$

14.

Find the image of 3 under the mapping, x → 10 - 2x.

15.

John's uncle sent him ₵120,000.00 through a bank which charges 5% commission. How much commission was paid?

₵5,000.00

₵6,000.00

₵7,000.00

₵7,200.00

16.

What is the mode of the following numbers: 4, 5, 3, 3, 4, 2, 7, 6, 5, 4, 4, 1?

17.

If r = $(\begin{matrix} 2 \\ -1 \end{matrix})$ and s = $(\begin{matrix} -3 \\ 2 \end{matrix})$ , calculate 2r - 3s.

$(\begin{matrix} -5 \\ 12 \end{matrix})$

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

$(\begin{matrix} 13 \\ -3 \end{matrix})$

$(\begin{matrix} 13 \\ -8 \end{matrix})$

$(\begin{matrix} 13 \\ 8 \end{matrix})$

18.

The population of a town is 56782. What is this number to three significant figures?

567

568

56700

56800

19.

Find the value of n, if

25.003 = (2 x 10)+(5 x 1) + (3 x n)

0.001

0.011

0.01

0.1

20.

In the diagram, QRS is a triangle. Angle QRS = 50° and angle RST = 120°. Find angle RQS.

60°

65°

70°

80°

21.

Make P the subject of the relation, R = $\frac{(P+Q)}{2}$

P = Q - 2R

P = 2R - Q

P = 2R + Q

P = 2Q + R

22.

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

23.

A football field is 120 m long and 75 m wide. What is the perimeter of the field?

195 m

390 m

780 m

900 m

24.

In the diagram, O is the centre of the circle and r is its radius.

Calculate the area of the shaded region.

$\frac{1}{6}$ πr²

$\frac{1}{5}$ πr²

$\frac{1}{3}$ πr²

$\frac{5}{6}$ πr²

$\frac{7}{12}$ πr²

25.

Given that N = {x:x is a factor of 18} and M = {x:x is a multiple of 12}, find N ∩ M.

{1,2,3,6}

{1,2,3,6,12}

{2,3,6,12,18}

{}

26.

A boy throws a die once. What is the probability of getting the number 4?

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{5}{6}$

27.

Find the size of the angle marked a in the diagram above.

30°

60°

90°

120°

180°

28.

What set does the following graph represent?

{x:x < 2}

{x:x ≤ 2}

{x:x > 2}

{x:x ≥ 2}

29.

On a map, 1⁄3 cm represents 5km. If two towns A and B are 18 cm apart on the map, what is the actual distance between them?

27 km

30 km

240 km

270 km

30.

Write two hundred and two million, two thousand, two hundred and two in figures.

202,002,202

202,020,202

202,022,202

202,200,202

31.

If $1.00 = ₵340.00, what was the cedi value of an article which cost $6.50?

₵6,630.00

₵2,380.00

₵2,210.00

₵346.50

₵333.50

32.

A write watch is priced GH₵2,000.00. A shopkeeper allows a discount of 2% on the cost price.

Find the discount on 20 of such wrist watches.

GH₵500.00

GH₵600.00

GH₵800.00

GH₵1,000.00

33.

Simplify $\frac{5^{7} x 5^{4}}{5^{2}}$

5⁷

5⁸

5⁹

5¹³

34.

Simplify: (46 x 102) + (102 x 54)

1,020

10,200

102,000

1,020,000

35.

Name the geometrical figure shown in the diagram below.

parallelogram

triangle

cone

tetrahedron

pyramid

36.

Two sets which have no common members are known as ......

equal sets

equivalent sets

empty sets

disjoint sets

union

37.

In the diagram, P and Q are two sets and U is the universal set.

Use the information to answer the question below

How many members are in set Q

38.

If one-third of a number is added to one-fifth of the same number, the result is 8. Find the number.

39.

Find the image of -3 under the mapping x → 2(x + 3).

40.

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

THEORY QUESTIONS

(a)

Simplify 2 $\frac{3}{4}$ ÷ $(3 \frac{3}{8} - 1 \frac{1}{2})$

(b)

There are 50 pupils in a class. Out of this number, $\frac{1}{10}$ speak French only and $\frac{4}{5}$ of the remainder speak both French and English. If the rest speak English only,

(i)

find the number of students who speak

(α)

both French and English;

(β)

only English.

(ii)

Draw a Venn diagram to illustrate the above information.

(a)

Evaluate $\frac{2^{7} x 3^{4} x 5^{3}}{2^{3} x 3^{2} x 5^{2}}$ , leaving your answer in standard form.

(b)

Kwame rode a bicyble for a distance of x km and walked for another $\frac{1}{2}$ hour at a rate of 6 km per hour. If Kwame covered a total distance of 10 km, find the distance x he covered by bicycle.

(c)

A rectangular tank of length 22 cm, width 9 cm and height 16 cm is filled with water. The water is poured into a cylindrical container of radius 6 cm. Calculate the

(i)

volume of the rectangular tank.

(ii)

depth of water in the cylindrical container.

[Take π = $\frac{22}{7}$ ]

(a)

Using a pair of compasses and a ruler only,

(i)

construct triangle ABC such that |AB| = 10 cm, angle ABC = 30° and |BC| = 8 cm. Measure angle ACB.

(ii)

construct a perpendicular from C to meet line AB at D. Measure |CD|.

(b)

Calculate the area of triangle ABC.

The following is a record of scores obtained by 30 JSS form 2 pupils in a test marked out of 5.

5,	3,	2,	4,	5,	2,	4,	3,	1,	1
3,	4,	2,	3,	4,	5,	3,	4,	3,	2
4,	3,	1,	2,	2,	3,	3,	2,	4,	3

Score (x)	Tally	Frequency (f)	fx

(a)

Copy and complete the table.

(b)

Find the mean of the distribution.

(c)

If a pupil is selected at random from the form, what is the probability that he/she scored 4 marks?

(a)

The ratio of the sheep to goats on a farm is 4 : 7. If there are 1,428 sheep, find how many goats are on the farm.

(b)

Using a ruler and a pair of compasses only, construct a triangle ABC with |AB| = 6cm, |AC| = 8 cm and angle BAC = 30°. Construct the bisector of angle ACB to meet line AB at D.

(i)

Measure |AD| and |BD|.

(ii)

Write down the ratio |AD|:|BD|

(a)

A water tank in the form of a cuboid of height 22 cm and a rectangular base of length 7 cm and width 5 cm is filled with water. The water is then poured into a cylindrical container of diameter 14 cm.

Calculate the height of the water in the cylindrical container.

[Take π = $\frac{22}{7}$ ]

(b)

A trader is given 15 percent discount on goods bought from a factory. If the original price of an item in the factor is ₵45,000,000, calculate

(i)

the discount on the item

(ii)

the amount the trader paid for the item.

(c)

Find the truth set of $\frac{x - 3}{3}$ ≤ $\frac{1}{2}$ + x and illustrate your answer on the number line.