CREST Mental Maths Olympiad Class 12 Previous Year Papers

Q.1

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

Q.2

At a point 30 m away from the foot of a tower the angle of elevation of the top of the tower is 60^o. Find the height of the tower.

Q.3

What will come in place of question mark (?) in the following number series?
2, 3, 5, 8, 12, ?

Q.4

For what value of k will the equation 5y² – 20y + (k – 1) = 0 have real and equal roots?

Q.5

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

Q.6

Factorise:

x(x² + y² −z²) − z(x² + y² −z²)

Q.7

Solve:
(7³ + 20) x (3⁵ ÷ 3⁰)

Q.8

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

Q.9

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

Q.10

Simplify:

x² − 13x − 42 = (x − 6) (x − 7)