CREST Mathematics Olympiad Class 10 Previous Year Papers

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

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	Which among the following is a singleton set?
	a) The set A consisting of all prime numbers less than 10.		b) The set B consisting of all squares up to 10.
	c) The set C consisting of all numbers up to 10 that are neither prime nor composite.		d) The set D of all odd numbers up to 10.

Q.2	Write the general term in the expansion of (x2 -y)6:
	a) (-1)r . 6Cr x12 - 2r		b) (-1)r 6Cr x12 - 2r . yr
	c) (1)r 6Cr . yr		d) (1)r 6Cr x12 . yr

Q.3	In ∆ABC, ∠B = 90⁰. P, Q and R are the midpoints of AB, BC and AC, respectively. Which of the following options can be the vertices of a cyclic quadrilateral?
	a) A, P, Q and R		b) B, P, R and Q
	c) C, Q P and R		d) All of these

Q.4	If 3y + 4x = 1, y = x + 5 and 5y + bx = 3 are concurrent, find the value of 'b'.
	a) 1		b) 3
	c) 6		d) 0

Q.5	Find the quadratic equation whose roots are reciprocal of the roots of the equation 3x2 - 20x + 17 = 0.
	a) 17x2 - 20x + 3 = 0		b) 17x2 + 20x + 3 = 0
	c) 17x2 - 20x - 3 = 0		d) 17x2 + 20x - 3 = 0

Q.6	Which term is numerically greatest term in the expansion of (3 + 2x)49, when x = 1/5?
	a) 4th term		b) 5th term
	c) 6th term		d) 7th term

Q.7	30% of the items were sold at a profit of 40% while the remaining were sold at x% loss. If the overall loss is 10%, find the value of x.
	a) 30%		b) 30.42%
	c) 31.42%		d) 31.24%

Q.8	Find the values of a and b for which 3x3 - ax2 - 74x + b is a multiple of x2 + 2x - 24.
	a) a = -5, b = 24		b) a = 5, b = 24
	c) a = 13, b = 16		d) a = -13, b = 16

Q.9	A tower stands vertically on the ground. From a point on the ground which is 30 m away from the foot of a tower, the angle of elevation of the top of the tower is found to be 45⁰. Find the height of the tower.
	a) 28 m		b) 30 m
	c) 32 m		d) 35 m

Q.10	If cos x / (1 + cosec x) + cos x / (cosec x - 1) = 2, then which one of the following is one of the values of x?
	a) π/2		b) π/3
	c) π/4		d) π/6

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.