Mathematics Past Questions and Answers

A variable y is inversely proportional to x², when y = 10, x = 2. What is y when x = 10?

A 2
B 4
C 100
D 0.4
E 0.1

Question 42:

Two distinct sectors i the same circle substend 100^o and 30^o respectively at the centre of the circle. Their corresponding arcs are in ratio

A 10:3
B 1:100
C 3:1
D 5:2

Question 43:

The arithmetic mean of the ages of 30 pupils in a class is 15.3 years. One boy leaves the class and one girl is enrolled, and the new average age of 30 pupils in the class becomes 15.2 years. How much older is the boy than the girl?

A 30 years
B 6 years
C 9 years
D 3 years
E 1 year

Question 44:

In the diagram, angle QPR = 90^o, angle PSR = 90^o and PR = 5 units. Find the length of QS.

A 5 tan 25^o sin 65^o
B 5 cos 25^o sin 65^o
C 5 tan 25^o cos 65^o
D Cos 25^o cos 65^o
E 5 cosec 25^o

Question 45:

The diagram is the distance time graph of a vehicle. Find its average speed in kilometers per hour during the journey

A 155km/hr
B 50km/hr
C 40km/hr
D 124km/hr
E 84km/hr