CREST Mathematics Olympiad Class 9 Sample Paper

Class 9 is a stepping stone to more advanced mathematics, and building strong fundamentals is key. The Maths Olympiad Sample Paper for Class 9 is designed to help students practise challenging problems, sharpen logical reasoning, and become familiar with the Olympiad exam format.

What's Included in the Sample Paper?

• Well-structured multiple-choice questions based on Class 9 maths topics.
• Two sections: Practical Mathematics and Achiever's Section to develop deeper thinking.
• Answer key with explanations to support guided learning and independent revision.

Download the Class 9 Maths Olympiad Sample Paper (PDF)

Download the free Class 9 Maths Olympiad Sample Paper in PDF format to help your child practise smartly, identify weak areas, and boost their confidence ahead of the exam.

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Syllabus:

Section 1: Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, 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

Sample Questions

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	The polynomial 11a2 - 12√2 a + 2 on factorization gives:
	a) (11a + √2) (a - √2)		b) (a - √2) (11a - √2)
	c) (a + 11) (a + √2)		d) (11a - √2) (a + √2)

Q.2	ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). P, Q, R, and S are mid-points of AB, BC, CD and DA, respectively. The quadrilateral PQRS is a:
	a) Square		b) Rectangle
	c) Rhombus		d) None of these

Q.3	A speaks truth in 60% of cases and B speaks the truth in 70% of cases. The probability that they will say the same thing while describing a single event is:
	a) 0.56		b) 0.54
	c) 0.38		d) 0.94

Q.4	The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________.
	a) (3, 3)		b) (2, 2)
	c) (1, 1)		d) (0, 0)

Q.5	Which of the following relationships is correct?
	a) P(E) + P(E bar) = 1		b) P(E bar) - P(E) = 1
	c) P(E) = 1 + P(E bar)		d) None of these

Q.6	From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is:
	a) (8 - π) sq. cm.		b) (16 - 4 π) sq. cm.
	c) (16 - 8 π) sq. cm.		d) (4 - 2 π) sq. cm.

Q.7	It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is:
	a) first axiom		b) third axiom
	c) second axiom		d) fourth axiom

Q.8	Two years ago, the ratio of A's age to B's age at that time was 5:9. A's age three years ago was 13 years less than B's age six years ago. What is B's present age?
	a) 38 years		b) 30 years
	c) 34 years		d) 32 years

Q.9	The points A(2, 3), B(3, 5), C(7, 7) and D(5, 6) are such that:
	a) A, B, C and D are collinear		b) ABCD is a parallelogram
	c) D lies inside triangle ABC		d) D lies on the boundary of triangle ABC

Q.10	An urn contains 6 blue and 'P' green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then 'P' is equal to:
	a) 6		b) 18
	c) 24		d) 12

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