CREST Mental Maths Olympiad Class 12 Previous Year Papers

Q.1

Factorise:
x⁴ + x²y² + y⁴

Q.2

In a 300 m race, Rex beats Max by 60 m or 15 s. How much time A does take to complete the race?

Q.3

What will come in place of question mark (?) in the following equation? (approx.)
1599 × 199 ÷ 49 – 1398 + 3877 = ?

Q.4

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.5

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

Q.6

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

Q.7

Convert this recurring fraction to decimal:

Q.8

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.9

In the figure, ∠AOB = 140^o. Find ∠ADB.

Q.10

Find the value of x + y.