OBJECTIVE TEST

200 bottles of equal capacity hold 350 litres of water. How much water does each bottle hold?

1750 litres

175 litres

17.5 litres

1.75 litres

0.17 litres

Kofi paid rent of GH₵1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income.

GH₵600.00

GH₵5,400.00

GH₵6,000.00

GH₵18,000.00

Use the mapping below to answer the question below.

( $\frac{1}{2}$ ) → (1) → (3.14)

(1) → (2) → (6.28)

(2) → (4) → (12.56)

(3) → (6) → (x)

(y) → (10) → (31.4)

Find the value of x

9.42

18.84

25.12

Express 2345 in standard form.

2.345 x 10¹

2.345 x 10²

2.345 x 10³

2.345 x 10⁴

2.345 x 10⁵

Solve: 5x - (7x - 3) ≤ 9.

x ≥ -3

x ≤ -3

x ≥ -6

x ≤ 3

The circumference of a circular track is 15.4 m. Find the diameter of the track.

[Take π = $\frac{22}{7}$ ]

4.9 m

22 m

24 m

24.5 m

A boy scores $\frac{17}{25}$ in a French test. Express his score as a percentage.

17%

34%

68%

85%

Which of the following are the prime factors of 12?

{1, 3}

{2, 3}

{2, 4, 6, 12}

{2, 3, 4, 6}

Find the area of a circle whose diameter is 7 cm.

[Take π = $\frac{22}{7}$ ]

11 cm²

38 $\frac{1}{2}$ cm²

44 $\frac{1}{2}$ cm²

54 cm²

10.

Find the solution set of 2x + 4 > -6

{x = -5}

{x < 5}

{x > 5}

{x < -5}

{x > -5}

11.

The marked price of a radio set is ₵450,000. A discount of 5% of the marked price is allowed. What is the selling price of the radio set?

₵427,000

₵427,500

₵428,571

₵472,500

₵473,684

12.

A bag contains 6 blue and 5 black balls. What is the probability of picking a black ball at random?

$\frac{1}{11}$

$\frac{1}{5}$

$\frac{5}{11}$

$\frac{6}{11}$

13.

What is the name of the figure above?

Cuboid

Kite

Triangle

Pyramid

14.

Which of the following is not a prime number?

15.

Find in base ten the value of 4 in 143_five.

16.

Which of the fractions $\frac{13}{20}$ , $\frac{3}{5}$ , $\frac{3}{4}$ and $\frac{7}{10}$ is greatest?

$\frac{3}{5}$

$\frac{3}{4}$

$\frac{7}{10}$

$\frac{13}{20}$

17.

The perimeter of a rectangle is 48 cm. if the length is 14 cm, find its width.

24 cm

20 cm

10 cm

3.4 cm

18.

Kofi's age in the next ten years will be four times his age five years ago. How old is Kofi now?

19.

If 8.51 ÷ 2.3 = 3.7, find the value of 85.1 ÷ 2.3

0.037

0.37

3.7

370

20.

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

21.

Which of the following would you use to measure an angle?

Ruler

A pair of compasses

A set square

A protractor

22.

A car travels 36 kilometres in an hour. Find its speed in metres per second.

10 ms^-1

100 ms^-1

20 ms^-1

200 ms^-1

23.

Simplify 16² x 8²

2¹⁰

2¹⁴

2¹⁵

2¹⁶

24.

Express 72 as a product of prime factors.

2³ x 3²

2² x 3³

2² x 3²

2 x 3

25.

If x = {1, 2, 3, 4, 5}, find the truth set of 2x + 1 < 7

{1, 2}

{2, 3}

{1, 2, 3}

{3}

{2}

26.

Solve the inequality: $\frac{1}{2}$ (3x - 1) + 1 ≤ 7 + 2x.

x ≥ -14

x ≤ -14

x ≥ -13

x ≤ -13

27.

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

12%

13%

18%

28.

The cost of 12 note books is GH₵ 54.84. Find the cost of one note book.

GH₵ 5.57

GH₵ 4.67

GH₵ 4.57

GH₵ 3.57

29.

Factorize completely xy - xm - my + m².

(m-y)(x-m)

(x-m)(y-m)

(m-y)(m-x)

(y-m)(m-x)

30.

If 2^x = 8, what is the value of x?

31.

simplify: 4a - 9b -2(2a - 3b).

8a + 3b

8a - 3b

-15b

-3b

32.

Arrange the following fractions in descending order $\frac{3}{4}$ , $\frac{5}{8}$ , $\frac{4}{5}$ , $\frac{13}{20}$

$\frac{4}{5}$ , $\frac{3}{4}$ , $\frac{13}{20}$ , $\frac{5}{8}$

$\frac{4}{5}$ , $\frac{5}{8}$ , $\frac{3}{4}$ , $\frac{13}{20}$

$\frac{5}{8}$ , $\frac{4}{5}$ , $\frac{3}{4}$ , $\frac{13}{20}$

$\frac{4}{5}$ , $\frac{5}{8}$ , $\frac{13}{20}$ , $\frac{3}{4}$

$\frac{13}{20}$ , $\frac{5}{8}$ , $\frac{4}{5}$ , $\frac{3}{4}$

33.

Arrange the following fractions from the lowest to the highest: $\frac{3}{4}$ , $\frac{2}{3}$ and $\frac{3}{5}$ .

$\frac{3}{5}$ , $\frac{2}{3}$ , $\frac{3}{4}$

$\frac{3}{5}$ , $\frac{3}{4}$ , $\frac{2}{3}$

$\frac{3}{4}$ , $\frac{2}{3}$ , $\frac{3}{5}$

$\frac{3}{4}$ , $\frac{3}{5}$ , $\frac{2}{3}$

$\frac{2}{3}$ , $\frac{3}{5}$ , $\frac{3}{4}$

34.

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

35.

In the figure below, PQ and RS are straight lines. Find the value of the angle marked w°.

27°

53°

63°

127°

36.

The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8cm, find its breadth.

2 cm

3 cm

5 cm

6 cm

37.

Find the perimeter of the kite below.

38 cm

64 cm

76 cm

88 cm

38.

What is the fifth term of the sequence $\frac{1}{3}$ , $\frac{2}{5}$ , $\frac{7}{15}$ ...?

$\frac{4}{9}$

$\frac{5}{11}$

$\frac{6}{13}$

$\frac{3}{5}$

39.

A bottle of soft drink costs ₵200.00. The commission paid on one bottle is 2% of the cost price. Find the commission paid on 24 bottles of the soft drink.

₵96.00

₵296.00

₵400.00

₵4,704.00

₵4,800.00

40.

Use the information below to answer the question below

In the diagram above, the cylinder has diameter 4 cm and length 14 cm.

[Take π = $\frac{22}{7}$ ]

What is the volume of the cylinder?

176 cm³

44 cm³

$\frac{176}{7}$ cm³

$\frac{88}{7}$ cm³

$\frac{44}{7}$ cm³

THEORY QUESTIONS

(a)

Using a ruler and a pair of compasses only, construct:

(i)

triangle XYZ with |XY| = 9 cm,
|YZ| = 12 cm and |XZ| = 8 cm.

(ii)

the perpendicular bisector of line XY.

(iii)

the perpendicular bisector of line XZ.

(b)

(i)

Label the point of intersection of the two bisectors as T;

(ii)

With point T as center, draw a circle of radius 6 cm.

(c)

Measure:

(i)

|TX|;

(ii)

angle XYZ.

A teacher conducted a class test and the result is displayed in a frequency table below.

Marks	1	2	3	4	5	6	7	8	9
Frequency	2	4	2	2	10	5	6	7	2

(a)

Using the frequency table, find

(i)

the modal mark for the class

(ii)

the number of candidates who wrote the test

(iii)

the mean mark for the test.

(b)

If the teacher decides that the pass mark is 4, what is the probability that a student chosen at random from the class failed the test?

(c)

Draw a bar chart for the distribution.

The table below shows the marks scored out of 10 by some candidates in a test.

Mark	1	2	3	4	5	6	7	8
Number of candidates	2	3	5	7	8	13	7	5

(a)

From the table, find

(i)

the modal mark;

(ii)

how many candidates took the test;

(iii)

the mean mark for the test.

(b)

If 20% of the candidates failed,

(i)

how many failed?

(ii)

What is the least mark a candidate should score in order to pass?

ξ = {1, 2, 3, 4, ...,18}
A = {Prime numbers}
B= {Odd numbers greater than 3}

(a)

If A and B are subsets of the Universal set, ξ, list the members of A and B.

(b)

Find the set

(i)

A ∩ B;

(ii)

A ∪ B.

(c)

(i)

Illustrate ξ, A and B on a Venn diagram.

(ii)

Shade the region for prime factors of 18 on the Venn diagram.

Solve:

Multiply 0.03858 by 0.02, leaving the answer in standard form.

A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth of the water in the container. (Take π = 22⁄7)

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.