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 quadratic expression x2 + (a - 4)x + (a + 4) is a perfect square, then find the value of a:
	a) 0 and -4		b) 0 and 6
	c) 0 and 12		d) 6 and 12

Q.2	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.3	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).

Q.4	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.5	The figure below shows two concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at point B, C, D and A. The ratio of the perimeter of the outer circle to that of polygon ABCD is:
	a) π : 4		b) 3π : 2
	c) π : 2		d) π : 1

Q.6	Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1, -1) and parallel to PS is:
	a) 2x - 9y - 11 = 0		b) 2x - 9y - 7 = 0
	c) 2x + 9y - 11 = 0		d) 2x + 9y + 7 = 0

Q.7	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.8	If a/b, b/c, and c/a are in AP, then which of the following is true?
	a) ca2, ab2 and bc2 are in AP.		b) ab2, bc2 and ca2 are in AP.
	c) a2b, b2c and c2a are in AP.		d) a, b, and c are in AP.

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	If α and β are the roots of the equation x2 + x + 1 = 0, then the equation whose roots are α19 and β7 is:
	a) x2 - x - 1 = 0		b) x2 - x + 1 = 0
	c) x2 + x - 1 = 0		d) x2 + x + 1 = 0

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.