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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Open CREST Mathematics Olympiad Class 10 Previous Year Paper (PDF)

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	Feder was married 8 years ago. Today her age is 1 2/7 times that at the time of marriage. At present her daughter's age is 1/6 of her age. What was her daughter's age 3 years ago?
	a) 6 years		b) 7 years
	c) 3 years		d) 2 years

Q.2	In a group in which everyone likes at least one of the two fruits, 40% like apples, 80% like bananas, and 20% like both apples and bananas. Find the percentage of people who like only apples:
	a) 30%		b) 40%
	c) 20%		d) 60%

Q.3	If the length and breadth of a rectangular plot are increased by 50% and 20% respectively, then the new area is how many times the original area?
	a) 5/9		b) 10
	c) 9/5		d) 1/2

Q.4	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.5	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.6	A jar contains 75 L of milk. Each day, 15 L is drawn out and replaced with 15 L of water. On which day will the amount of milk in the container become less than 15 L?
	a) 5th day		b) 7th day
	c) 6th day		d) 8th day

Q.7	In a bag, there are 2 red balls, 3 green balls and 4 brown balls. Find the probability of drawing a ball at random being red or green:
	a) 5/9		b) 1/4
	c) 1/5		d) 4/9

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	A cow is tethered at corner A by a rope. Neither the cow nor the rope is allowed to enter △ABC. ∠A = 30°, AB = AC = 10 m, and BC = 6 m. What area can the cow graze if the rope is 8 m long?
	a) 133 1/6π sq. m		b) 121 π sq. m
	c) 132 π sq. m		d) 176/3 π sq. m

Q.10	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

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.