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	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.2	The area of a rectangular field is 460 m2. If the length is 15% more than the breadth, then what is the breadth of the field?
	a) 15 m		b) 34.5 m
	c) 26 m		d) 20 m

Q.3	The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hours earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina:
	a) 10 km/h		b) 4 km/h
	c) 9 km/h		d) 6.25 km/h

Q.4	The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is:
	a) 2 : 3, y = 3		b) 3 : 2, y = 4
	c) 3 : 2, y = 3		d) 3 : 2, y = 2

Q.5	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.6	ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:
	a) 90⁰		b) 60⁰
	c) 56⁰		d) 62⁰

Q.7	1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ?
	a) a3 + b3 + c3 + 3abc		b) a3 + b3 + c3 + 3abc(a + b + c)
	c)  a3 + b3 + c3 - 3abc		d) 3abc

Q.8	The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________.
	a) triangle		b) rectangle
	c) trapezium		d) rhombus

Q.9	In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle-point of AC. If a square is constructed with BD as one of its sides, what is the area of the square?
	a) 4.5 cm2		b) 2.5 cm2
	c) 6.35 cm2		d) None of these

Q.10	If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
	a) -2		b) -1
	c) 1		d) 2

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