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	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.2	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.3	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.4	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

Q.5	Read the following statements carefully and choose the correct option: (i) Two figures having the same shape but not necessarily the same size are called similar figures. (ii) All the congruent figures are similar but the converse is not true. (iii) If in a triangle, the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle. (iv) A tangent is a straight line that touches the circle at only one point.
	a) (i), (iii) is true and (ii), (iv) is false		b) (i), (ii) is true and (iii), (iv) is false
	c) All statements are correct		d) (i), (ii) and (iv) is correct and (iv) is incorrect

Q.6	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.7	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.8	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.9	A jar has 75 L of milk. 15 L is drawn out and replaced with 15 L of water. This operation is done once every day. 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.10	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

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.