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	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

Q.2	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.3	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.4	The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observation of the set is increased by 2, then the median of the new set:
	a) Is increased by 2		b) Is decreased by 2
	c) Is two times the original median		d) Remains the same as that of the original set

Q.5	The boundary of the shaded region in the given diagram consists of three semi-circular arcs, the smaller ones being equal. If the diameter of the larger arc is 10 cm, the area of the shaded region is (π = 3.14):
	a) 39.25 cm2		b) 46.45 cm2
	c) 35.60 cm2		d) 37.95 cm2

Q.6	If angles with measure x and y form a complementary pair, then angles with which of the following measures will form a supplementary pair?
	a) 3		b) 4
	c) 5		d) 6

Q.7	If α and β are the roots of the equation x2 - 5x + 6 = 0, then the value of (α2 - β2) is equal to:
	a) 5		b) -5
	c) ±5		d) +6

Q.8	In a group of people where each one likes at least one fruit out of apple or banana, 40% like apple 80% like banana while 20% like both apple and banana. Find the percentage of people who like only apple:
	a) 30%		b) 40%
	c) 20%		d) 60%

Q.9	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.10	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

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.