CREST Mental Maths Olympiad Class 9 Previous Year Papers

Q.1

What will be the area of a circle with circumference equal to 88 cm?

Q.2

What is the coefficient of x² in the polynomial P(x) = 3x³ + 10(x – x²) – 5x² – 2?

Q.3

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

Q.4

What are the two roots of the equation (x + 4) (x – 5) = 0?

Q.5

A starts a business with $24,000 and later B joins him with $48,000. After how many months did B join if the profit is distributed in an equal ratio?

Q.6

An equilateral triangle is cut up into smaller equilateral triangles with side 1/6 of the original. Find the number of triangles thus formed.

Q.7

ΔABC and ΔDEC are the right triangles with ∠B = ∠E = 90°, find BE.

Q.8

A man travelled a certain distance by train at a rate of 15 km/h and walked back at the rate of 12 km/h. The whole journey took 9 hours. Find the distance he travelled.

Q.9

What is the value of x, if the median of the following data is 27.5?
              24, 25, 26, x + 2, x + 3, 30, 33, 37

Q.10

The ratio of the present ages of Peter and Tom is 8:7. Five years ago, the ratio of their ages was 3:2. Find the present age of Peter.