CREST Mathematics Olympiad Class 10 Previous Year Paper

Getting ready for the Class 10 Maths Olympiad? Practising previous year question papers is one of the most powerful tools to enhance your child's preparation. These papers give students real exam experience while helping them revise smarter and more effectively.

Why Class 10 Previous Year Papers Matter

• Cover crucial topics such as Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic, Equations, Arithmetic Progressions and Triangles etc.
• Help students fine-tune their problem-solving speed and accuracy under timed conditions.
• Develop analytical thinking and familiarity with Olympiad-level questions.

Answer keys are included with each paper, allowing students to check their performance and work on specific areas for improvement.

Download the Maths Olympiad Previous Year Paper for Class 10 (PDF) and give your child the edge they need to succeed in the Olympiad with confidence and clarity.

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Syllabus:

Section 1: Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.

Achievers Section: Higher Order Thinking Questions - Syllabus as per Section 1

Sample Paper Previous Year Paper Marking Scheme Free Study Material

Previous Year Questions

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	If H.C.F. (a, b) = 12 and a x b = 1800, find L.C.M. (a, b):
	a) 3600		b) 900
	c) 150		d) 90

Q.2	How many 1 cm x 1 cm x 1 cm blocks are needed to build the solid rectangular prism shown in the figure given below?
	a) 10		b) 12
	c) 33		d) 36

Q.3	If sec θ = A, cosec θ = B, then which of the following options is correct?
	a) A2 + B2 = AB		b) A2 + B2 = A2B2
	c) A2 - B2 = A2B2		d) A2 + B2 = -A2B2

Q.4	If tan θ = a sin φ/(1 - a cos φ) and tan φ = b sin θ/(1 - b cos θ), then find the value of a/b:
	a) sin θ/(1 - cos θ)		b) sin θ/(1 - cos φ)
	c) sin φ/sin θ		d) sin θ/sin φ

Q.5	Find the value of the following: sin 5θ/sin θ
	a) 16 cos4θ - 12 cos2 θ - 1		b) 16 cos4θ - 12 cos2 θ + 1
	c) 16 cos4θ + 12 cos2 θ - 1		d) 16 cos4θ + 12 cos2 θ + 1

Q.6	If 3 tanA = 4, then find the value of (2 sin A - 7cos A) / (3 cos A + 4):
	a) -13/29		b) 13/11
	c) ∞		d) 29/13

Q.7	If α + β = 90⁰, α = 2β, then find the value of cos2α + sin2β:
	a) 1/2		b) 3/4
	c) 3/2		d) 1

Q.8	Let Tr be the rth term of an A.P. for r = 1, 2, 3, ………… If for some positive integers m, n we have Tm = 1/n and Tn = 1/m, then Tmn equals:
	a) 1		b) 1/m + 1/n
	c) 1/mn		d) 0

Q.9	Evaluate 1/4 (cot4 30⁰ - cosec4 60⁰) + 3/2 (sec2 45⁰ - tan2 30⁰) - 5 cos2 60⁰:
	a) 55/18		b) 11/6
	c) 7/4		d) 0

Q.10	A bag A contains 4 green and 6 red balls. Another bag B contains 3 green and 4 red balls. If one ball is drawn from each bag, find the probability that both are green:
	a) 13/20		b) 1/4
	c) 6/35		d) 8/35

Your Score: 0/10

Additional Preparation Resources

Students can also refer to the following resources to level up their CREST Mathematics Olympiad (CMO) exam preparation for class 10 -

1. CREST Mathematics Worksheets Package for class 10 - It is a package of 5 worksheets. The worksheets are in the same pattern as the previous year paper. Hence, very useful for preparation. Existing users can purchase additional practice worksheets by following these steps: Login at https://www.crestolympiads.com/login -> Dashboard -> Additional Practice -> Buy & new users can visit https://www.crestolympiads.com/registration
2. CREST Mathematics Olympiad book for class 10 - The book covers topic-wise reading material, chapter-wise practice questions with answer key & contains the previous year paper. The book is available in both physical and pdf formats. Proceed now to purchase the Olympiad book. Also, students can view & download the first chapter of the Maths Olympiad book for class 10 for free.

Note: Don’t forget to download the CREST Mathematics Olympiad past year paper pdf for class 10.