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Al Qalam Academy Teacher Recruitment Questions

Total questions: 25

Worksheet time: 35mins

Name
Class
Date
1.

The base of a parallelogram is 8 cm and the height is 12 cm. What is the area of the parallelogram in m2.

(a)  

2.

8 out of 20 students in a class wear glasses. What is the probability that a student selected at random does not wear glasses?

(a)  

3.

If the bearing of A from B is 2500 , what is the bearing of B from A?

(a)  

4.

The angle of elevation of the top of a building from a point 10 m away on level ground is 300. Calculate the height of the building. Correct your answer to 3 decimals places.

(a)  

5.

A regular polygon has the sum of its interior angles as 3240o . Find the number of sides the polygon has

(a)  

6.

Simplify 4(r + 3t) - 4(2t - r)

(a)  

7.

The mean age of five students whose ages are 8 , y , 13 , 12 and 10 is 10. Find the value of y in years.

(a)  

8.

Solve the simultaneous equation. 2p + y = 8 and p + y = 5

(a)  

9.

The surface area of a sphere of radius r is A , where S = 4πr2 . Express r in terms of S and π

a)

Square root of S/2π

b)

Square root of 2S/4π

c)

Square root of S/4π

d)

Square root of 4π/S

10.

P varies inversely as Q and P = 16 when Q = 25. What is the relationship between P and Q if k is constant?

(a)  

11.

Write 1997 in Roman numerals

(a)  

12.

One - third of a number is subtracted from 11. The result is one and half times the original number. What is the number?

(a)  

13.

How many years will it take to earn #8100 simple interest on #180 000 at 9% per annum?

(a)  

14.

A rope of 488.6 meters long is divided into equal pieces of 1.4 meters long. How many pieces are obtained?

(a)  

15.

In a triangle, angles are 400 , 750 and 2y0. Find the value of y

(a)  

16.

Simplify 1101102 - 1011012. Leave your answer in base ten.

(a)  

17.

The area of a trapezium is 126 cm2. If its parallel sides are 11 cm and 17 cm , calculate the vertical distance between the parallel sides

(a)  

18.

There are 180 girls in a mixed school. If the ratio of girls to boys is 3:4. The total number of students in the schools is

(a)  

19.

Find the product of the mean and median of the following set of numbers 4, 5, 6, 6, 7, 6 , 1

(a)  

20.

Find the area of a circle of radius 7 cm. Take π = 22/7

(a)  

21.

A bag contains 7 red pens , 5 black pens and 8 blue pens. If one pen is picked at random from the bag. What is the probability that it is blue?

(a)  

22.

A shirt is tagged #520.00 in a store. If 10% is given off as a discount , how much is paid for the shirt?

(a)  

23.

Doda has Y naira. He spent 35.00. The amount he has left is greater than 15.00. Write an inequality in Y.

a)

Y+35<15

b)

Y-35<15

c)

Y+35>15

d)

Y-35>15

24.

In triangle PQR above, the length of the side PQ is

a)

3 cm

b)

√95 cm

c)

8 cm

d)

√193 cm

25.

Which of the following is correct about the diagram above

a)

Cos @ = 6/8

b)

Sin @ = 6/10

c)

tan @ = 8/10

d)

tan @ = 8/6