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
Sample Paper
Marking Scheme
Free Study Material
Q.1
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.
a) 15 km/h
b) 16 km/h
c) 17 km/h
d) 18 km/h
Q.2
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.
a) 10 years
b) 12 years
c) 14 years
d) 13 years
Q.3
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.4
In ABC, AB = AC. ∠DBC = ∠DCB = 40o . Find x.
a) 125o
b) 130o
c) 135o
d) 140o
Q.5
The marked price of a radio is $480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, find his gain%.
a) 17%
b) 22%
c) 20%
d) 25%
Q.6
In the figure, ∆ABC and ∆PBC are two isosceles triangles. Find x.
a) 120o
b) 110o
c) 115o
d) 100o
Q.7
How many km/h does a man walk who passes through a street 600 m long in 5 minutes?
a) 24/5 km/h
b) 36/5 km/h
c) 22 km/h
d) 32/5 km/h
Q.8
$600 are invested at 5% simple interest p.a. In how much time will it double itself ?
a) 20 year
b) 24 years
c) 22 years
d) 25 years
Q.9
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.10
In the adjoining figure, find the value of semi perimeter for ∆ABD and ∆BCD .
a) 35 m
b) 38 m
c) 30 m
d) 40 m
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Answers to Sample Questions from CREST Olympiads:
Q.1 a Q.2 a Q.3 d Q.4 b Q.5 c Q.6 c Q.7 b Q.8 a Q.9 b Q.10 d
Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : a | Q.3 : d | Q.4 : b | Q.5 : c | Q.6 : c | Q.7 : b | Q.8 : a | Q.9 : b | Q.10 : d
