CREST Mental Maths Olympiad Class 12 Sample Paper

Master complex mental calculations with the CREST Mental Maths Olympiad Sample Paper for Class 12. This sample paper is tailored for advanced learners aiming to boost speed, accuracy, and logical reasoning in high-level math competitions.

What's Inside the Class 12 CREST Mental Maths Sample Paper?

  • High-difficulty questions from Comparing Quantities, Mensuration and Data Handling etc.
  • Time-based practice for quick and strategic thinking
  • Patterned after the official Class 12 CREST Mental Maths Olympiad format

Download the Class 12 CREST Mental Maths Olympiad Sample Paper PDF to begin focused preparation and perform confidently in Olympiad-level challenges.

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Syllabus:

Number System
Algebra
Comparing Quantities
Geometry
Mensuration
Playing with Numbers
Data Handling

Sample Questions

Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

Q.1

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

Q.2

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

Q.3

Simplify the expression:
(−5 + 72) [3 − (−6)3] + (−11 − 2)(8 − 12).

Q.4

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

Q.5

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.6

What will come in place of question mark (?) in the following equation? (approx.)
4433.764 – 2211.993 – 1133.667 + 3377.442 = ?

Q.7

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

Q.8

If f(x) = 2x3 - 3x2 + 12, then find f (2).

Q.9

Cube of sides 2 cm is cut down into cubes of sides 1 cm. What is the ratio of surface area of smaller cubes to that of larger cube?

Q.10

The average age of 30 girls is 13 years. The average of first 18 girls is 15 years. Find out the average age of remaining 12 girls.

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Answers to Sample Questions from CREST Olympiads:

Q.1cQ.2cQ.3cQ.4dQ.5aQ.6aQ.7bQ.8dQ.9cQ.10a

Answers to Sample Questions from CREST Olympiads:

Q.1 : c | Q.2 : c | Q.3 : c | Q.4 : d | Q.5 : a | Q.6 : a | Q.7 : b | Q.8 : d | Q.9 : c | Q.10 : a

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