CREST Mental Maths Olympiad Class 12 Previous Year Papers

Q.1

Factorise:

x(x² + y² −z²) − z(x² + y² −z²)

Q.2

The marked price of a radio is $480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, find his gain%.

Q.3

In the parallelogram shown below, find ∠ABC.

Q.4

Simplify:

x² − 13x − 42 = (x − 6) (x − 7)

Q.5

How many km/h does a man walk who passes through a street 600 m long in 5 minutes?

Q.6

Which number is divisible by 17?
123445, 133365, 32376, 245346

Q.7

Simplify:

3/5th of 24% of 500 - 32 = ?

Q.8

Find the mean of the data given below:
10, 5, 13, 4, 9, 12, 11 and 24

Q.9

In ABC, AB = AC. ∠DBC = ∠DCB = 40^o. Find x.

Q.10

Solve:
(7³ + 20) x (3⁵ ÷ 3⁰)