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 Paper Marking Scheme Free Study Material

Sample Questions

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	Convert this recurring fraction to decimal:
	a) 1.272727		b) 1.27
	c) 1.2727……		d) 1.272

Q.2	In a triangle ABC, s is the semi-perimeter and a, b, and c are the sides of the triangle. If a = 3b = 6c, then s = z × c. Identify z:
	a) 5/7		b) 9/2
	c) 7/9		d) 11/2

Q.3	At a point 30 m away from the foot of a tower the angle of elevation of the top of the tower is 60o. Find the height of the tower.
	a) 15√3 m		b) 30√3 m
	c) 28√2 m		d) 27√2 m

Q.4	If L stands for x, M stands for /, P stands for + and Q stands for -, which one of the following equations is correct? 1 6 P 2 4 M 8 Q 6 M 2 L 3 = ?
	a) 12		b) 11
	c) 10		d) 14

Q.5	What will be the volume of a cylindrical tank whose radius is 7 cm and height is 5 cm?
	a) 270 cm3		b) 370 cm3
	c) 570 cm3		d) 770 cm3

Q.6	Factorise: x(x2 + y2 −z2) − z(x2 + y2 −z2)
	a) (x + y + z) (x2 + y2 + z2)		b) (x - z) (x2 + y2 + z2)
	c) (x + y) (x2 + y2 + z2)		d) (x2 + y2) + (x2 + z2)

Q.7	Diameter of a wheel of a car is 70 cm. How much distance will it cover in 10 revolutions?
	a) 22 m		b) 20 m
	c) 26 m		d) 27 m

Q.8	What will come in place of question mark (?) in the diagram?
	a) 135		b) 154
	c) 144		d) 125

Q.9	The banker's gain on a bill due 1 year hence at 15% p.a. is $9. The true discount is:
	a) $60		b) $56
	c) $64		d) $50

Q.10	What is the quadratic equations whose roots are 3 and 4?
	a) x² – 7x + 12 = 0		b) x² – 3x + 4 = 0
	c) x² – 6x + 9 = 0		d) x² – 2x - 8 = 0

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