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 the coefficients of (2r + 4)th term is equal to the coefficient of (r - 2)th term in the expansion of (1 + x)18, find the value of r:
	a) 2		b) 4
	c) 6		d) 8

Q.2	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.3	The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. The present ages of the father and son respectively are:
	a) 25 years, 10 years		b) 36 years, 9 years
	c) 39 years, 6 years		d) 35 years, 10 years

Q.4	What are the respective values of the quotient and remainder when x2002 - 2001 is divided by x91?
	a) x91x22, 2001		b) x91, 2001
	c) x91x21, -2001		d) x9, -2001

Q.5	In the given figure (not to scale), 'O' is the centre of the circle, and AB and PC are the tangents to the circle at A and P, respectively. IF ∠PAB = 40⁰, then find the measure of ∠PCA:
	a) 100⁰		b) 80⁰
	c) 60⁰		d) 70⁰

Q.6	Yon spent 0.5x% of his monthly salary on rent. He spent x% of the remaining salary on food, 2x% of the remaining salary on transport and 4x% of the remaining salary on various bills. If these expenditures are denoted by R, F, T, and S, respectively, and if x is 20, then find the ascending order of these expenditures:
	a) R, S, F, T		b) R, F, T, S
	c) R, T, F, S		d) R, F, S, T

Q.7	A club holds an election for the post of chairperson. The probabilities that candidates Anthony and Joseph will be elected are 0.36 and 0.47 respectively. Find the probability that neither Anthony nor Joseph will be elected:
	a) 0.83		b) 0.53
	c) 0.37		d) 0.17

Q.8	Which of the following is the equation of a straight line?
	a) y = 2x2		b) x2 + y2 = a2
	c) (x/a) + (y/b) = 1		d) (x2/a2)+ (y2/b2) = 1

Q.9	If α and β are the roots of the equation x2 - 5x + 6 = 0, then the value of (α2 - β2) is equal to:
	a) 5		b) -5
	c) ±5		d) +6

Q.10	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

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.