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	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.2	ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle:
	a) [a2 + 4 (πa2/9 - a2/3√2)]		b) [a2 + 4 (πa2/9 - a2/4√3)]
	c) [9a2 - 4π + 3√3 a2]		d) None of these

Q.3	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.4	A die is thrown once. Find the probability of getting a number greater than 6.
	a) 0		b) 1
	c) 1/7		d) 2/7

Q.5	ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC.
	a) 70°		b) 80°
	c) 90°		d) 100°

Q.6	A rectangular box has dimensions x, y and z units, where x < y < z. If one dimension is increased by one unit, then the increase in volume is:
	a) Greatest when x is increased.		b) Greatest when y is increased.
	c) Greatest when z is increased.		d) The same, regardless of whichever dimension is increased.

Q.7	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

Q.8	The square root of 5 + 2√6 is:
	a) √3 + 2		b) √3 - √2
	c) √2 - √3		d) √3 + √2

Q.9	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.10	If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
	a) -1		b) 1
	c) 2		d) -2

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