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	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) are correct, and (iii) is incorrect.

Q.2	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.3	The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. The present ages of the father and son respectively are:
	a) 25 years, 10 years		b) 36 years, 9 years
	c) 39 years, 6 years		d) 35 years, 10 years

Q.4	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.5	Given a triangle with side AB = 8cm. To get a line segment AB' = 3/4 of AB, it is required to divide the line segment AB in the ratio:
	a) 3: 4		b) 4: 3
	c) 1: 3		d) 3: 1

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	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.8	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.9	What is the value of sin A cos A tan A + cos A sin A cot A?
	a) sin2 A + cos A		b) sin2 A + tan2 A
	c) sin2 A + cot2 A		d) cosec2 A - cot2 A

Q.10	A club holds an election for the post of chairperson. The probabilities that candidates Anthony and Joseph will be elected are 0.36 and 0.47 respectively. Find the probability that neither Anthony nor Joseph will be elected:
	a) 0.83		b) 0.53
	c) 0.37		d) 0.17

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.