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	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	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.3	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.4	If α and β are the roots of the equation x2 + x + 1 = 0, then the equation whose roots are α19 and β7 is:
	a) x2 - x - 1 = 0		b) x2 - x + 1 = 0
	c) x2 + x - 1 = 0		d) x2 + x + 1 = 0

Q.5	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

Q.6	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.7	If α + β = 90⁰, α = 2β, then find the value of cos2α + sin2β:
	a) 1/2		b) 3/4
	c) 3/2		d) 1

Q.8	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.9	What are the respective values of the quotient and remainder when x2002 - 2001 is divided by x91?
	a) x91x22, 2001		b) x91, 2001
	c) x91x21, -2001		d) x9, -2001

Q.10	If (x - 1) is a factor of Ax3 + Bx2 - 36x + 22 and 2B = 64A, find value of A and B:
	a) 4 and 16		b) 6 and 24
	c) 2 and 12		d) 8 and 16

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.