CREST Mental Maths Olympiad Class 12 Previous Year Papers

Q.1

In a triangle ABC, s is the semi-perimeter and a, b, and c are the sides of the triangle. If a = 3b = 6c, then s = z × c. Identify z:

Q.2

Which number is divisible by 14?
57248, 124556, 89534, 484176

Q.3

In the figure, ABCD is a cyclic quadrilateral. Side CD is produced to both sides so that ∠BCP = 110^o and ∠ADQ = 95^o. What is the sum of angles ∠A and ∠B?

Q.4

What will come in place of question mark (?) in the number series?
10, 18, 28, 40, 54, 70, ?

Q.5

The archery target has three concentric circular regions. The diameter of the regions are in the 1 : 2 : 3. What is the ratio of their areas?

Q.6

Which number is divisible by 2 and 8?
23462, 773292, 204120, 956482

Q.7

Nikson spent $35645 on buying a bike, $24355 on buying a television and the remaining 20% of the total amount he had as cash with him. What was the total amount?

Q.8

If the speed of a swimmer in still water is 9 km/h. Find the downstream speed of the swimmer, when the river is flowing at the speed of 6 km/h.

Q.9

What is the quadratic equations whose roots are 3 and 4?

Q.10

Convert the recurring decimals to fractions: