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.
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Number System
Algebra
Comparing Quantities
Geometry
Mensuration
Playing with Numbers
Data Handling
| 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? |
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Q.2 |
Simplify: x2 − 13x − 42 = (x − 6) (x − 7) |
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Q.3 |
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? |
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Q.4 |
The banker's gain on a bill due 1 year hence at 15% p.a. is $9. The true discount is: |
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Q.5 |
Find the value of x + y. ![]() |
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Q.6 |
How many km/h does a man walk who passes through a street 600 m long in 5 minutes? |
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Q.7 |
The cost of fencing a circular field at the rate of $10 per meter is $440. What is the radius of the circular field? |
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Q.8 |
For what value of p, the quadratic equation, x2 - 4x + p = 0, will have real and distinct roots? |
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Q.9 |
In a 300 m race, Rex beats Max by 60 m or 15 s. How much time A does take to complete the race? |
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Q.10 |
What will come in place of question mark (?) in the following number series? |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : b | Q.4 : a | Q.5 : a | Q.6 : b | Q.7 : a | Q.8 : d | Q.9 : a | Q.10 : c