OBJECTIVE TEST

Amina spends $\frac{17}{35}$ of her pocket money on transport and food. If she spends $\frac{2}{7}$ on transport only, what fraction does she spend on food?

$\frac{1}{4}$

$\frac{1}{5}$

$\frac{5}{7}$

$\frac{15}{28}$

$\frac{18}{35}$

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

The Venn diagram below shows the number of pupils in a class of 40, who speak Twi or Ga or neither.

Use it to answer the question below.

How many pupils speak Twi and Ga?

In the diagram above, KGM is a right-angled triangle and angle GKM = 62°. Find the angle of elevation of K from M.

28°

62°

90°

118°

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

35°

43°

67°

78°

137°

Araba bought an electric cooker for ₵540,000.00 at a discount of 10%. Find the actual price of the electric cooker.

₵469,000.00

₵496,000.00

₵594,000.00

₵600,000.00

₵605,000.00

Adjoa and Ama share ₵600.00 between them in the ratio 3 : 2. Find Adjoa's share.

₵200.00

₵240.00

₵300.00

₵360.00

₵400.00

Which of the following sets of angles form the interior angles of a right angled triangle?

{20°, 50°, 90°}

{80°, 60°, 90°}

{45°, 45°, 90°}

{65°, 90°, 35°}

When a number is doubled and the result is decreased by 9, the answer is 19. Find the number.

10.

The population of a town in 1990 was 88,000. The population increased by 20% in 1998. Find the population in 1998.

70,400

94,600

96,800

105,600

11.

The diameter of a circular tray is 28 cm. Find the area of the tray.

[Take π = $\frac{22}{7}$ ]

44 cm²

88 cm²

154 cm²

616 cm²

2464 cm²

12.

Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?

60km

17km

13km

7km

13.

The letters in the word HIPPOPOTAMUS are placed in a box. What is the probability of taking out a letter that is a vowel?

$\frac{1}{12}$

$\frac{3}{12}$

$\frac{5}{12}$

$\frac{7}{12}$

14.

The diagram above is the net of a

cone.

cuboid.

rectangular prism.

pyramid

15.

If c = $\frac{b^{2} + 4r}{2ar}$ , find c when b = 3, r = 4 and a = 5

$\frac{19}{40}$

$\frac{11}{20}$

$\frac{3}{8}$

$\frac{5}{8}$

16.

A train travels at a speed of 80km per hour. How long will it take to travel a distance of 320km?

2 hours

3 hours

4 hours

5 hours

17.

Simplify: -27 + 18 - (10 - 14) - (-2)

-3

-7

-11

-35

18.

What is the rule for the mapping?

x→ 3x²-1

x→ 5x²-3

x→ x²+1

x→ 4x-2

19.

How many 15Gp Christmas cards can be bought with GH₵18.00?

120

150

180

270

20.

Forty percent of students in a class speak Ga and seventy five percent speak Twi. Each student speaks at least one of the two languages.

Use the information above to answer the question below.

What percentage of the class speaks both Ga and Twi?

10%

15%

30%

21.

Express 1.25 as a percentage.

25%

75%

125%

175%

22.

There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is red?

$\frac{2}{5}$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{4}{5}$

23.

Find the gradient of the line which passes through the points (2, 3) and (-4, 5).

-3

- $\frac{1}{3}$

$\frac{1}{3}$

24.

What property of addition is defined by (a + b)+ c = a + (b + c)?

Union

Inverse

Commutative

Distributive

Associative

25.

Make d the subject of the relation n = 2d + 3

d = $\frac{3n}{2}$

d = $\frac{n + 3}{2}$

d = $\frac{n - 3}{2}$

d = $\frac{3 - n}{2}$

26.

Three girls Ama, Adjoa and Abena measured the length of the sides of 3 right-angled triangles as follows:

Ama's measurements were 80 mm, 40 mm, 50 mm.

Adjoa's measurements were 50 mm, 120 mm, 130 mm.

Abena's measurements were 20 mm, 30 mm and 40 mm.

Whose measurement(s) was / were correct?

Ama's only

Abena's and Ama's

Adjoa's and Abena's

Ama's and Adjoa's only

Adjoa's only

27.

Simplify 0.1 x 0.02 x 0.003 (leaving your answer in standard form)

6x10^-7

6x10^-6

6x10⁵

6x10⁶

28.

The following addition is in base ten. Find the missing addend.

	2	3	4	5
+	1	0	4	5
	*	*	*	*
	5	1	1	0

1300

1720

2765

4065

9500

29.

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

x ≥ 10

x ≤ 10

x ≤ 40

x ≥ 40

30.

Simplify $(\begin{matrix} 2 \\ -3 \end{matrix})$ - $(\begin{matrix} -1 \\ 5 \end{matrix})$

$(\begin{matrix} -3 \\ 8 \end{matrix})$

$(\begin{matrix} 3 \\ -8 \end{matrix})$

$(\begin{matrix} -3 \\ -8 \end{matrix})$

$(\begin{matrix} 3 \\ 8 \end{matrix})$

$(\begin{matrix} -3 \\ 2 \end{matrix})$

31.

If s = $(\begin{matrix} -1 \\ 4 \end{matrix})$ and r = $(\begin{matrix} 3 \\ 2 \end{matrix})$ , find 3s + r.

$(\begin{matrix} 0 \\ 14 \end{matrix})$

$(\begin{matrix} 0 \\ 6 \end{matrix})$

$(\begin{matrix} 6 \\ 6 \end{matrix})$

$(\begin{matrix} 6 \\ 14 \end{matrix})$

32.

Which of the following statements best describes the construction below?

Construction of a horizontal line CD

Construction of a line parallel to AB

Construction of the bisector of AB.

Construction of a top line

Construction of a vertical line.

33.

The diagram shows the conversion graph for miles and kilometres.

Use it to answer the question below

Express 4 kilometres in miles.

6.4

3.5

2.5

34.

The length of a rectangular fence is 25 m. The ratio of the length to the width is 5:3. Find the width of the rectangular fence.

9 m

13 m

15 m

16 m

35.

Tins of milk each of volume 77 cm³ and weight 170 g were packed into an empty carton of volume 1540 cm³ and weight 500 g.

What is the weight of the carton when packed with the tins of milk?

2.06 kg

2.94 kg

3.90 kg

8.50 kg

36.

Find the Least Common Multiple (LCM) of the numbers 5,10 and 12.

2 x 3 x 5

2 x 3² x 5

2² x 3 x 5

2² x 3² x 5²

37.

Change 124_five to a base ten numeral.

38.

If p x q x r = 1197, and p = 19, q = 3, find r.

39.

A man deposited an amount of money in his savings account for 5 years. The rate of interest was 14% per annum. If the interest was ₵35,000.00, find the amount deposited.

₵85,000.00

₵50,000.00

₵39,900.00

₵24,500.00

₵15,000.00

40.

Kofi, Kojo and Ama shared GH₵480,000.00 in the ratio 3:5:4.

How much did Ama receive?

GH₵160,000.00

GH₵200,000.00

GH₵218,181.81

GH₵342,859.14

THEORY QUESTIONS

(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?

If 11y = (18)²-(15)², find the value of y.

Find the perimeter of a circle with radius 35 cm. (Take π = 22⁄7)

Given that

make r the subject of the relation

ii)

find the value of r when s = 117, m = 2 and n = -3.

(a)

Using a ruler and a pair of compasses only, construct ∆PQR such that angle PQR = 90°, |PQ| = 5.5 cm and |QR| = 8 cm.

(b)

Construct a perpendicular of PR from Q.

(c)

Locate M, the intersection of the perpendicular and PR.

(d)

Measure:

(i)

|MR|;

(ii)

|QM|.

(e)

Calculate, correct to the nearest whole number, the area of triangle QMR.

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?

Using a ruler and a pair of compasses only,

(a)

Construct triangle ABC such that |AB| = 6 cm, |AC| = 10cm and |BC| = 8 cm. Measure angle ABC.

(b)

Construct the perpendicular bisectors (mediators) of |AB| and |BC|. Let the bisectors meet at O.

(c)

Construct a circle with centre O and radius OA. Measure the radius of the circle.

(a)

Given that a = $(\begin{matrix} 2 \\ 3 \end{matrix})$ , b = $(\begin{matrix} x \\ -3 \end{matrix})$ and c = $(\begin{matrix} 7 \\ 3 \end{matrix})$ , find:

(i)

the value of x, if 2a + b = c;

(ii)

d = c - 3a;

(iii)

|d|

(b)

A polytank contains 4500 litres of water and $\frac{1}{5}$ of the water is used for cleaning.

(i)

Find the volume of water used for cleaning.

(ii)

What percentage of water is left in the tank?