CREST Mental Maths Olympiad Class 10 Sample Paper

Q.1

The age of a father is 4 times that of his son. Five years ago, the father was 7 times as old as his son at the time. What is the present age of the father?

Q.2

A boat travels a distance of 25 km upstream in 5 h. If the speed of the boat in still water is 6 km/h, then find the speed of stream.

Q.3

If P = 3 - 2√2, what is the value of P² + 1/P²?

Q.4

Find the value of question mark (?).
65% of 240 + ? % of 150 = 210

Q.5

A person covers a certain distance at a speed of 60 km/h and returns to the starting point at a speed of 40 km/h. Find the average speed of the person for the whole journey.

Q.6

The bar graph below shows the number of students enrolled in three different disciplines in five different colleges.
What is the total number of students studying B.A. in all the colleges together?

Q.7

Evaluate:
(125 ÷ 625) + 110

Q.8

The average age of three children and their father is 17 years. The average age of these children and their mother is 13 years. Mother's age is 22 years, what is the father's age?

Q.9

The shadow of a vertical pole is √3 of its height. Find the angle of elevation.

Q.10

In the figure, OB and OC are bisectors of ∠B and ∠C of ΔABC respectively. If ∠BAC = 62^o, ∠ABC = 54^o, then find ∠BOC.