CREST Mathematics Olympiad Class 10 Previous Year Papers

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

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	Solve and find the roots of the equation: 2(x2 - 6) = 3(x - 4)
	a) -3, -1/2		b) 2, 1
	c) 1, 1/2		d) 0, 3/2

Q.2	In ∆ABC, ∠B = 90⁰. P, Q and R are the midpoints of AB, BC and AC, respectively. Which of the following options can be the vertices of a cyclic quadrilateral?
	a) A, P, Q and R		b) B, P, R and Q
	c) C, Q P and R		d) All of these

Q.3	Find the quadratic equation whose roots are reciprocal of the roots of the equation 3x2 - 20x + 17 = 0.
	a) 17x2 - 20x + 3 = 0		b) 17x2 + 20x + 3 = 0
	c) 17x2 - 20x - 3 = 0		d) 17x2 + 20x - 3 = 0

Q.4	If tan A = 1/2 and tan B = 1/3, then which of the following is true?
	a) A + B = πc/4		b) A - B = πc/4
	c) 2(A + B) = πc/4		d) AB = πc/4

Q.5	A certain strain of virus occurs three times every 25 minutes. In how much time will it become 729 times its initial value?
	a) 125 minutes		b) 100 minutes
	c) 150 minutes		d) 175 minutes

Q.6	Which among the following is a singleton set?
	a) The set A consisting of all prime numbers less than 10.		b) The set B consisting of all squares up to 10.
	c) The set C consisting of all numbers up to 10 that are neither prime nor composite.		d) The set D of all odd numbers up to 10.

Q.7	Find the values of a and b for which 3x3 - ax2 - 74x + b is a multiple of x2 + 2x - 24.
	a) a = -5, b = 24		b) a = 5, b = 24
	c) a = 13, b = 16		d) a = -13, b = 16

Q.8	The angles of elevation of the top of a tower from two points at distances m and n metres are complementary. If the two points and the base of the tower are on the same straight line, then what will be the height of the tower?
	a) √(mn)		b) mn
	c) m/n		d) n/m

Q.9	Two vertices of a triangle are (5, -1) and (-2, 3). If the orthocentre of the triangle is the origin, find the third vertex.
	a) (4, 7)		b) (4, -7)
	c) (-4, 7)		d) (-4, -7)

Q.10	The following steps are involved in finding a number, if the positive number is less than its square by 30. Arrange them in sequential order: (A) x2 - x - 30 = 0 (B) x = 6 (C) x2 - x = 30 (D) (x + 5) (x - 6) = 0
	a) CADB		b) DCBA
	c) DCAB		d) CDAB

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.