CREST Mental Maths Olympiad Class 9 Previous Year Papers

Q.1

A person takes 20 h to travel a certain distance. If his speed is increased by 25%, then what time will he take to travel the same distance?

Q.2

If a = 12 cm, b = 13 cm, and c = 15 cm, what is the semi-perimeter of the triangle?

Q.3

A man can row 14 km/h in still water. When the stream is running at 2 km/h, it takes him 7 hours to row to a place and to come back. How far is the place?

Q.4

Two pipes can fill a tank in 18 min and 24 min, respectively. Both are opened simultaneously. After how many minutes should the first pipe be closed so that the tank becomes full in 16 min?

Q.5

Study the information carefully and answer the question given beside.
Out of 200 people who attended an office party 100 had Ice-cream, 120 had cold drink, 80 had cake and 10 had none of these three. 100 people had exactly one of three items.

How many people had exactly two of the three items?

Q.6

Five years ago, the average age of P and Q was 15 years. Now, the average age of P, Q and R is 20 years. What would be the age of R after 10 years?

Q.7

If a square is inscribed in a circle, find the ratio of the area of the circle and the square.

Q.8

In the given figure, PQRS is a rectangle. Find PR + QS.

Q.9

In a ∆PQR, PS = SR = SQ and ∠PRS = 55°. Find ∠SQP.

Q.10

What is the mean of the test score for a class of students whose scores are 86, 94, 70, 81, 92, 74, 75, 89, 76, and 97?