CREST Mental Maths Olympiad Class 12 Previous Year Papers

Q.1

Factorise:
x³ - x² - mx - m + x - 1

Q.2

Simplify:

Q.3

∆XYZ and ∆PYZ are two isosceles triangles on the same base YZ. If ∠P = 120^o and ∠XYP = 40^o. Find x.

Q.4

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

Q.5

For what value of p, the quadratic equation, x² - 4x + p = 0, will have real and distinct roots?

Q.6

Ten men can do a piece of work in 12 days. How many men are needed to complete the work in 20 days?

Q.7

30 men can plant 60 trees in 5 hours. If 5 men leave the job, how many trees will be planted in 10 hours?

Q.8

$600 are invested at 5% simple interest p.a. In how much time will it double itself ?

Q.9

In a bag there are 5 white, 6 black and 3 green cards. One card is drawn at random. What is the probability of having a card which is not green?

Q.10

Factorise:

x(x² + y² −z²) − z(x² + y² −z²)