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

Q.2	The probability that A can solve a problem is 2/3 and the probability that B can solve the same problem is 3/5, Find the probability that atleast one of A and B are able to solve the problem.
	a) 12/15		b) 13/15
	c) 19/45		d) 17/19

Q.3	If the rth term in the expansion of (x/3 - 2/x2)10 contains x4, then r is equal to:
	a) 2		b) 3
	c) 4		d) 5

Q.4	Given a triangle with side AB = 8cm. To get a line segment AB' = 3/4 of AB, it is required to divide the line segment AB in the ratio:
	a) 3: 4		b) 4: 3
	c) 1: 3		d) 3: 1

Q.5	If (x - 1) is a factor of Ax3 + Bx2 - 36x + 22 and 2B = 64A, find value of A and B:
	a) 4 and 16		b) 6 and 24
	c) 2 and 12		d) 8 and 16

Q.6	The number of common solution(s) for the system of linear equations 2x + 3y + 5 = 0 and 4x + 6y - 10 = 0 is:
	a) 0		b) 1
	c) 2		d) Infinity

Q.7	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.8	The rational number of the form p/q, q ≠ 0, p and q are positive integers, which represents 0.134 bar i.e., (0.1343434………) is:
	a) 134/999		b) 134/990
	c) 133/999		d) 133/990

Q.9	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.10	Which is the smallest of all the chords of a circle passing through a given point in it?
	a) Chord trisected at the point.		b) Chord bisected at the point.
	c) Chord passing through the centre.		d) Both (a) and (b).

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.