KUULCHAT
MATHEMATICS MOCK

OBJECTIVE TEST

THEORY QUESTIONS

1.

(a)

A man deposited ₵350,000.00 in his account in a bank. A simple interest of 4% per annum was paid on his deposit. Calculate the total amount at the end of 4 years.

(b)

The cost of sending a telegram is ₵500 for the first 12 words and ₵25.00 for every extra word.

Find the cost of sending a telegram containing 20 words.

2.

(a)

E and F are subsets of the universal set U such that

U = {natural numbers less than 15}

E = {even numbers between 1 and 15} and

F = {multiples of 4 between 9 and 15}

(i)

List the elements of U, E and F.

(ii)

Draw a Venn diagram to show the sets U, E and F.

(b)

In a school, 7 10 of the pupils like Mathematics. Half of those pupils who like Mathematics are girls. If there are 240 pupils altogether in the school, how many girls like Mathematics?

(c)

A typist charges 28 Gp for the first five sheets and 8 Gp for each additional sheet she types. How much will she earn, if she types 36 sheets?

3.

a

In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.

i

Draw a Venn diagram to illustrate the given information.

ii

How many girls play:

α

one or two of the games;

β

none of the two games?

b

In the diagram, ABCD is a circle of radius 14 cm and centre O. Line BO is perpendicular to line AC. Calculate, the total area of the shaded portions.

[Take π = 22 7 ]

4.

The bar chart above is the distribution of marks in a class test.

(a)

(i)

Write down the frequency table for the distribution.

(ii)

Use the table to find the mean mark.

(b)

If the pass mark is 4, how many pupils failed the test?

5.

(a)

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

(i)

triangle PQR such that |PQ| = 8cm, angle QPR = 60° and angle PQR = 45°.

(ii)

Measure |QR|.

(b)

A rectangular water tank has length 60cm, width 45cm and height 50cm.

Find

(i)

the total surface area of the tank when closed

(ii)

the volume of the tank

(iii)

the height of the water in the tank, if the tank contains 81,000 cm3 of water.

6.

(a)

Solve the inequality 2x - 1 4 - x - 2 3 > 1

(b)

Find the value of the expression 2x - 3y if x = 1 3 and y = - 1 2 .

(c)

25 students in a class took an examination in Mathematics and Science. 17 of them passed in Science and 8 passed in both Mathematics and Science. 3 students did not pass in any of the subjects.

Find

(i)

how many passed in Mathematics;

(ii)

the probability of meeting a student who passed in one subject only.