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	An item is marked at a mark-up of x%. It is discounted by y% while being sold to a customer. If the shopkeeper does not gain or loss anything, which of the following is definitely true?
	a) x = y		b) x > y
	c) x < y		d) No definite relation exists

Q.2	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.3	X men and Y women work together for n days. The wages per day of a man and woman are in the ratio 5: 4. If the total wages of all the men for n days to the ratio of the total wages of all the women for n days is 40: 32, then find the ratio of X to Y:
	a) 25: 16		b) 5: 4
	c) 1: 1		d) 3 : 5

Q.4	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

Q.5	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.6	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.7	What is the possibility of getting at least 6 heads if eight coins are tossed simultaneously?
	a) 37/256		b) 25/57
	c) 1/13		d) 5/27

Q.8	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.9	Find the equation of the line which passes through the point of intersection of the lines 2x - y + 5 = 0 and 5x + 3y - 4 = 0 and is perpendicular to the line x - 3y + 21 = 0:
	a) 3x + y = 0		b) 3x + y + 21 = 0
	c) 2x + y + 10 = 0		d) 3y - x + 21 = 0

Q.10	A cow is tethered at corner A by a rope. Neither the cow nor the rope is allowed to enter ∆ABC. ∠A = 30⁰, AB = AC = 10 m and BC = 6 cm. What is the area that can be grazed by the cow if the length of the rope is 8 m?
	a) 133 1/6π sq. m		b) 121 π sq. m
	c) 132 π sq. m		d) 176/3 π sq. m

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.