OBJECTIVE TEST

If P = {2,3,4,6,8} and Q = {1,2,3,4}, find P∩Q.

{2,3,4}

{7,9,10}

{2,3,4,6,8}

{1,2,3,4,6,8}

P = {1, 2, 3, 8, 10}, Q = {8, 1, x, 3, 2}. If P = Q, what is the value of x?

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

1 $\frac{1}{2}$

2 $\frac{1}{4}$

2 $\frac{3}{4}$

4 $\frac{1}{2}$

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

equal sets

equivalent sets

empty sets

disjoint sets

union

Simplify $(3 \frac{1}{2} + 7) \div (4 \frac{1}{3} - 3)$

6 $\frac{7}{8}$

7 $\frac{7}{8}$

10 $\frac{1}{2}$

What is the Highest Common Factor (HCF) of 24, 32 and 64?

Express the product of 162.5 x 0.5 in standard form.

81.25 x 10^-1

81.25 x 10

8.125 x 10^-1

8.125 x 10

0.8125 x 10^-2

There are 15 red and 25 black balls in a bag. Find the probability of selecting a black ball from the bag.

$\frac{1}{25}$

$\frac{1}{15}$

$\frac{3}{8}$

$\frac{3}{5}$

$\frac{5}{8}$

A ribbon is 4 m long. How many pieces, each 30 cm long, can be cut from the ribbon?

10.

If the area of the figure above is 60 cm², find x.

8 cm

9 cm

12 cm

16 cm

20 cm

11.

Solve for y in the equation $\frac{1}{3}$ y + $\frac{1}{5}$ y = 8

12.

A hall which is 20 m long is represented on a diagram as 10 cm long. What is the scale of the diagram?

1:200

1:250

1:400

1:500

13.

Find the value of x in the equation $\frac{x}{4}$ = 2

14.

Given that $\sqrt{p^{2} + q^{2}}$ = p x q, find the value of a, if a = $\sqrt{13^{2} + 15^{2}}$

175

195

247

494

15.

Find the circumference of a circle whose area is equal to 64 π cm².

32 π cm

16 π cm

8 π cm

4 π cm

16.

Which of the following fractions is equivalent to $\frac{3}{5}$ ?

$\frac{21}{30}$

$\frac{12}{20}$

$\frac{15}{45}$

$\frac{6}{15}$

17.

If y : 28 = 5 : 7, find y.

31.2

37.5

18.

Find the missing numbers in the sequence 4, 8, 12, _ , _ , _ , 28

14, 16, 22

14, 18, 22

6, 18, 22

16, 20, 24

16, 22, 24

19.

Express 1.25 as a percentage.

25%

75%

125%

175%

20.

Write down all the integers within the interval 21 < y ≤ 27.

{21, 22, 23, 24, 25, 26, 27}

{22, 23, 24, 25, 26, 27}

{21, 22, 23, 24, 25, 26}

{22, 23, 24, 25, 26}

21.

When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.

22.

Convert 12.03 metres to centimetres.

0.1203 cm

120.3

1203 cm

12030 cm

23.

A car is travelling at 60 km per hour. How far does it travel in 2 $\frac{1}{2}$ hours?

30 km

60 km

120 km

150 km

24.

In the diagram above, ∆ABC is an isosceles triangle. ∠ABD is 108°. Find the value of y.

25.

Correct 48,947.2547 to the nearest hundred.

490

48,900

48,950

49,000

26.

On a map 1 cm represents 4.5 km. What is the actual distance between two towns which are 4 cm apart on the map?

9 km

16 km

18 km

19 km

21 km

27.

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

28.

Five cards are numbered one to five. A card is picked at random. What is the probability that it has an even number?

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

29.

Factorize: 3ax + 6a - x - 2

(3a+1)(x+2)

(3a+1)(x-2)

3a(x-2)

(3a-1)(x+2)

30.

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?

$\frac{1}{4}$

$\frac{1}{5}$

$\frac{5}{7}$

$\frac{15}{28}$

$\frac{18}{35}$

31.

Find the product of 17 and 121.

968

1,751

2,057

8,591

32.

The table below gives the number of goals scored by a football team in a league season:

Number of goals scored in a match	0	1	2	3	4	5
Frequency	1	7	6	4	1	1

Use it to answer the question below.

Find the total number of goals scored by the team.

33.

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

34.

Evaluate $\frac{0.54 x 0.7}{9}$

0.0042

0.042

0.42

4.2

35.

If 1 : x is equivalent to 6 $\frac{1}{4}$ : 25, find x.

6.25

100

36.

Ama is N years old now. How old will she be in 10 years?

(N – 10) years

(N + 10) years

(10 – N) years

10 N years

$\frac{10}{N}$ years

37.

Remove the brackets: a – 2(b – 3c)

a – 2b – 3c

a – 2b - 6c

a – 2b + 6c

a + 2b + 6c

a – 2b + 3c

38.

Use the equation y = (x + 2)(x - 2) to answer the question below

If x = -1, find y.

–4

–3

39.

When 0.24 is expresed in the lowest form as $\frac{a}{b}$ , the denominator is

25.

125.

40.

Factorize completely 5xy + 10ny

5y(x + n)

5y(x + 2n)

5xy(1 + 2n)

5(xy + 2ny)

x(5x + 10n)

THEORY QUESTIONS

An aeroplane left the Kotoka International Airport on Wednesday at 7:26 pm and reached its destination after nine hours thirty minutes. Find the day and the time the aeroplane reached its destination.

Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes 0x and 0y on a graph sheet for -10 ≤ x ≤ 10 and -12 ≤ y ≤ 12.

Draw on this graph indicating the coordinates of all vertices, the quadrilateral ABCD with vertices A(0,10),B(-6,-2),C(-3,-11) and D(4,3).

iii

Draw the line x = -2 to meet AB at P and CD at Q.

Measure angles BPQ and PQD.

State the relationship between:

angles BPQ and PQD;

lines AB and CD.

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.

(a)

(i)

Using a pair of compasses and ruler only, construct triangle XYZ with XZ = 12cm, XY = 10cm and angle XYZ = 90°.

(ii)

Measure YZ.

(iii)

Calculate the area of triangle XYZ

(iv)

Measure angle ZXY.

(b)

An isosceles triangle has a perimeter of (9y – 15) cm.

What is the length of each of the two equal sides, if its third side is (3y – 7) cm?

(a)

Solve the equation: $\frac{2x - 1}{3}$ - $\frac{x - 2}{4}$ = 1

(b)

Factorize completely 2ap + aq - bq – 2bp

(c)

Given that m = -2 and n = $\frac{3}{4}$ , find the value of

(i)

m²(n – 1)

(ii)

n² - $\frac{3}{m}$

(a)

List the members of each of the sets B = {Whole numbers from 20 to 30} and D = {factors of 63}

List the members of

(i)

B ∩ D

(ii)

B U D

(b)

In a class of 60 students, 46 passed Mathematics and 42 passed English language. Everybody passed at least one of the two subjects.

(i)

Illustrate this information on a Venn diagram.

(ii)

How many students passed in both subjects?

(a)

Given the sets A = {multiples of 3 less than 12}, B = {integers between 4 and 8} and C = {4,5,7}, find:

(i)

A∩B;

(ii)

(A∪B)∩C;

(ii)

(A∩B)∪C;

(b)

Simplify: 1 $\frac{3}{4}$ - 2 $\frac{5}{6}$ - 1 $\frac{9}{10}$ + 4 $\frac{7}{8}$ .