OBJECTIVE TEST

If the bearing of A from B is 240^o, find the bearing of B from A

040^o

060^o

120^o

300^o

A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?

Solve: 5x - (7x - 3) ≤ 9.

x ≥ -3

x ≤ -3

x ≥ -6

x ≤ 3

Solve:

A man travelled a distance of 8 km in an hour. How long will it take him to cover a distance of 12 km, travelling at the same speed?

1⅓ hrs

1½ hrs

1¾ hrs

2 hrs

In the Venn diagram M and N are the subsets of the universal set U.

Use this information to answer the question below.

How many members are in the set N?

Factorize: 3ax + 6a - x - 2

(3a+1)(x+2)

(3a+1)(x-2)

3a(x-2)

(3a-1)(x+2)

Divide 0.5445 by 0.09.

5.05

6.05

6.50

60.50

Make h the subject of the relation V = πr²h.

10.

Express 134.78 correct to the nearest tenth

130.0

134.7

134.8

135.0

11.

Which of the following is arranged in ascending order?

-25, -64, 4, 17

-64, -25, 4, 17

-64, -25, 17, 4

17, 4, -25, -64

12.

A trader sold a radio set for GH₵ 72.00 making a profit of 8%. Find, correct to the nearest Ghana cedi, the cost of the radio set.

GH₵ 66.00

GH₵ 67.00

GH₵ 77.00

GH₵ 78.00

13.

Subtract (7x-3) from (5-3x).

10x-8

4x-8

8-10x

2-10x

14.

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

15.

Ama bought a pair of sandals for GH₵ 20.00 and solid it at GH₵ 24.00. Find the percentage profit.

4 %

17 %

20 %

44 %

16.

Evaluate

17.

What is the rule for the mapping?

x→ 3x²-1

x→ 5x²-3

x→ x²+1

x→ 4x-2

18.

The simple interest on GH₵ 450.00 for 4 years is GH₵ 45.00, find the rate of interest

2.5 %

10 %

25 %

6.5 %

19.

Correct 0.024561 to three significant figures.

0.03

0.025

0.0245

0.0246

20.

Arrange

and

in ascending order.

21.

Which property of arithmetic is used in a(x+y) = ax + ay.

Associative

Commutative

Distributive

Initiative

22.

Two sides of a rectangle are 10 cm and 6 cm. Calculate the area of a square with the same perimeter as that of the rectangle.

16 cm²

30 cm²

60 cm²

64 cm²

23.

Which of the following is an infinite set?

{1, 2, ..., 5, 6, 7}

{4, 6, 8, 10, 12}

{2, 3, 5, 7, 11, ...}

{3, 6, ..., 18, 21, ...33, 36}

24.

Find the rule of the mapping

y = 2x + 2

y = -2x + 2

y = 4x

y = -2x + 5

25.

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

-2

-1

26.

Find the image of the point (-2,3) under a reflection in the y-axis.

(2,-3)

(-3,2)

(2,3)

(3,2)

27.

Find the median of the following numbers: 46, 68, 34, 37, 76 and 81.

35.5

28.

Solve the equation

-9

-3

29.

Find the least number that can be added to 207 to make the sum divisible by 17.

30.

Evaluate: (0.07 x 0.02) ÷ 14.

0.01

0.001

0.0001

0.00001

31.

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

32.

In the diagram, line MN is parallel to line TU, line TS cuts line MN at O and ∠MOS = 115^o. Find ∠OTU.

65^o

55^o

45^o

25^o

33.

Which of the following inequalities is represented on the number line?

-2>y>2

-2≤ y < 2

-2 ≥ y > 2

-2 < y ≤ 2

34.

A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?

3.10 p.m.

4.10 p.m.

5.10 p.m.

6.10 p.m.

35.

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

36.

If P = {x:x is an even number greater than two and less or equal to twelve}, list the members of P

{2, 4, 2, 8, 10, 12}

{3,4,6,8,10,12}

{2, 4, 6, 8, 10}

{4, 6, 8, 10, 12}

37.

In the diagram, line AB is parallel to line PD. Find the value of x.

20^o

80^o

100^o

120^o

38.

Which of the following numbers is the largest?

-70

-50

-3

-2

39.

Given that x = 4, y = 7, evaluate 2xy + 3(x+y)

109

40.

Express 0.725 as a fraction in its lowest term.

THEORY QUESTIONS

The marks obtained by students in a class test were

4	8	7	6	7
2	1	7	4	7
3	7	6	4	3
7	5	2	7	2
5	4	8	3	2

Construct a frequency distribution table for the data.

Find the:

mode of the distribution

ii)

median mark of the test;

iii)

mean mark.

Simplify

, leaving the answer in standard form.

Make r the subject of the relation

ii)

From (b)(i), find the value of r when y = 3 and x = 10.

Juliet bought 1,756 kg of frozen chicken, 675 g of vegetables and 95 g of corn oil from a Shopping Mall. What is the total weight of the items she bought in kilogram?

An English textbook costs GH₵ 25.00. The author of the book agreed to take 20% of the cost of each book sold. If 1,702 copies were sold, calculate the author's share.

Simplify:

In the diagram, MN = 13 cm, MP = 15 cm, MS = 12 cm and MS is perpendicular to NP.

Calculate length NP.

x	1	2	3	4	5
↓	↓	↓	↓	↓	↓
y	0	3	6	9	12

The mapping shows the relationship between x and y.

using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 units on the y-axis, draw two perpendicular axes 0x and 0y on a graph sheet for 1 ≤ x ≤ 5 and 0 ≤ x ≤ 14;

ii)

plot the point for each ordered pair, (x, y).

iii)

join the points with a straight line;

iv)

using the graph, find the gradient of the line in (a)(iii);

use the graph to find the equation of the line in (a)(iii).

Simplify: 32 x 8 x 4 x 2, leaving the answer in the form 2ⁿ

In an examination 60 candidates passed Integrated Science or Mathematics. If 15 passed both subjects and 9 more passed Mathematics than Integrated Science, find the:
i) number of candidates who passed in each subject;
ii) probability that a candidate passed exactly one subject.

Factorize: xy + 6x + 3y + 18

Simplify: 5(6 - ab) + 2(-7 + 3ab)

The equation of a straight line is given by 3x - 2y - 6 = 0. Find the:
(i) gradient of the line;
(ii) y-intercept

Adwoa received a commission of 20% on bread she sold. In one week, Adwoa's commission was GH₵ 540.00.
(i) How much bread did she sell during that week?
(ii) Find her average daily commission.