OBJECTIVE TEST

Evaluate 10 ÷ (3 $\frac{1}{2}$ + 1 $\frac{1}{5}$ )

2 $\frac{6}{47}$

4 $\frac{2}{35}$

2 $\frac{1}{6}$

4 $\frac{7}{10}$

The pie chart shows the distribution of programmes offered by 720 students at Kofikrom.

Use this information to answer the question below.

Find the value of the angle marked y.

90°

100°

110°

120°

The interior angle of a regular polygon is 120°. How many sides has the polygon?

Express 242 as a product of prime factors.

2² x 11²

2 x 11²

2² x 11

2 x 11

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

-3

-7

-11

-35

Find the gradient of the line that joins the points A(-3,5) and B(7,-2).

How many lines of symmetry has an equilateral triangle?

Simplify $\frac{30}{5(-2)}$

-10

-6

-3

Kwame gets a commission of 20% on bread sold. In one week, Kwame's commission was ₵45,000.00. How much bread did he sell during that week?

₵205,000.00

₵220,000.00

₵225,000.00

₵235,000.00

10.

Which of the following figures is a rhombus?

11.

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

12.

In the diagram, ML and PQ are parallel lines.

Find the value of v

32°

40°

58°

140°

180°

13.

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

14.

Find the GCF (HCF) of 2³ × 3² and 2³ × 3⁴.

648

15.

If 22% of a rope is 55 m long, find the full length of the rope.

12.1 m

25 m

121 m

250 m

2500 m

16.

If A = {5,10,15,20,25,125} and B = {5,10,15,20,25,625}, list the elements of A ∪ B

{5,25}

{10,20,125,625}

{5,15,25,125,625}

{5,10,15,20,25,125,625}

17.

Adwoa and Ama share an amount of ₵6,000.00 in the ratio 3 : 2. Find Adwoa's share.

₵2,000.00

₵2,400.00

₵3,000.00

₵3,600.00

₵4,000.00

18.

Find the equation of the straight line passing through the points (-3,5) and (6,8)

y = ⅓^x

y = ⅓^x+6

y = ⅓^x-10

y = ⅓^x+14

19.

Calculate the simple interest on GH₵450.00 for 2 years at 12% per annum.

GH₵ 191.00

GH₵ 108.00

GH₵ 54.00

GH₵ 27.00

20.

The scale of a map is 1 : 100,000. What is the distance (in km) between two towns 4 cm apart on the map?

0.04

0.4

4.0

400

21.

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

22.

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

$\frac{1}{4}$

$\frac{1}{2}$

23.

Solve: 4x - 2(x + 5) = -10.

x = -10

x = 0

x = $\frac{1}{2}$

x = 2

24.

A trader received a commission of 25% on the sales he made in a month. His commission was ₵180,000.00. Find his total sales for the month.

₵135,000.00

₵150,000.00

₵240,000.00

₵540,000.00

₵720,000.00

25.

Use the mapping below to answer the question below.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	-4	-2	0	2	m

Find m.

–4

26.

Simplify 3(6b – 9a) + 7(6a – 5b)

17b + 6a

-17b + 6a

17b + 48a

15a – 17b

17b – 15a

27.

Solve for y, if 3 + 3y = 1 - 13y

- $\frac{1}{8}$

- $\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{4}$

28.

Find the mean of the following set of numbers 10, 12, 14 and 16.

29.

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 y

30.

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

31.

A man travelled a distance of 1.5 km in 30 minutes. What distance can he cover in 50 minutes, travelling at the same speed?

2.2 km

2.5 km

2.8 km

3.2 km

32.

In an enlargement with scale factor 2, which of the following statements is not true?

Each length is multiplied by 2.

Each angle remains the same.

The shape of the figure does not change.

The size of the figure does not change.

33.

How many lines of symmetry has a square?

34.

A simple interest of GH₵ 37,500.00 is earned on an amount of GH₵ 500,000.00 for 3 years. Calculate the percentage rate.

20.0 %

10.0 %

5.0 %

2.5 %

35.

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

36.

How many faces has a cube?

37.

In the diagram, ABCD is a parallelogram; BC and AF are straight lines. Angle ABC = 110° and angle DEF = 40°. Find the angle marked θ.

30°

40°

50°

70°

110°

38.

Find the truth set of 5x – 8 ≤ 2x + 4.

{x ≥ 4}

{x ≥ -4}

{x ≤ 4}

{x ≤ -4}

{x = 4}

39.

A map is drawn to the scale 1:100,000. What distance in kilometres is represented by 5 cm on the map?

0.5 km

5.0 km

50.0 km

500.0 km

40.

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%

THEORY QUESTIONS

(a)

A cylinder closed at one end has radius 7 cm and height 20 cm.

(i)

Find its total surface area.

(ii)

If the cylinder is filled with water to a depth of 5 cm, calculate the volume of the water in it.

[Take π = $\frac{22}{7}$ ]

(b)

Evaluate $\frac{0.07 x 0.6}{0.014 x 0.03}$ , leaving your answer in standard form.

(a)

The cost (P), in Ghana cedis, of producing n items is given by the formula,

P = $\frac{3}{4}$ n + 1800.

Find the:

(i)

cost of producing 2,000 items;

(ii)

number of items that will be produced with GH₵2,400.00;

(iii)

cost when no items are produced.

(b)

A passenger travelling by air is allowed a maximum of 20 kg luggage. A man has four bags weighing 3.5 kg, 15 kg, 2 kg and 1.5 kg.

(i)

Find the excess weight of his luggage.

(ii)

Express the excess weight as a percentage of the maximum weight allowed.

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 property worth GH₵ 10,480.00 is shared between a widow and her 10 children in the ratio 1:4 respectively. The children shared their portion equally. Find each child's share.

The data shows the distribution of marks in a class test.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

Use the data to answer the following questions:

make a Stem and Leaf plot of the data;

how many students scored more than 10 marks and less than 20 marks?

iii

what is the probability of a student scoring less than 20 marks?

(a)

Given the relation

(i)

simplify L;

(ii)

find the value of L when m = 2 and n = 3.

(b)

Solve

(c)

A salesman gets a commission of 5¹⁄₂% of the value of items he sells. The salesman sells 12 textbooks at GH₵ 25.00 per book, 3 scientific calculators at GH₵ 50.00 per calculator and 8 packets of bic pens at GH₵ 50.00 per packet. Calculate the salesman's commission.

(a)

P = {Factors of 30}
Q = {Multiples of 5 less than 40}

Find P ∩ Q

(b)

A trader saved GH₵200.00 for 3 years at 12% simple interest per annum. What will be the total amount in the trader's account at the end of the 3 years?

(c)

Evaluate $\frac{4.56 x 3.6}{0.12}$ and leave your answer in standard form.

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32

27	55	19	65	69	46
38	42	14	57	11	13
14	67	22	10	25	17
45	39	61	52	43	24
28	63	56	49	64	32