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 following figure, two isosceles right triangles, DEF and HGI are on the same base DH and DH are parallel to FI. If DE = GH = 9 cm and DH = 20 cm, then the area of the quadrilateral FEGI is ________.
	a) 99 cm2		b) 40.5 cm2
	c) 81 cm2		d) 180 cm2

Q.2	In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error per cent in the area is:
	a) 3.3		b) 3.0
	c) 2.9		d) 2.7

Q.3	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.4	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.5	The square root of 5 + 2√6 is:
	a) √3 + 2		b) √3 - √2
	c) √2 - √3		d) √3 + √2

Q.6	If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?
	a) 3xyz/abc		b) xyz/abc
	c) 3xyzabc		d) 3

Q.7	ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:
	a) 90⁰		b) 60⁰
	c) 56⁰		d) 62⁰

Q.8	The two lines 3x + 4y - 6 = 0 and 6x + ky - 7 = 0 are such that any line which is perpendicular to the first line is also perpendicular to the second line: Then, k = ______.
	a) -8		b) -6
	c) 6		d) 8

Q.9	In the given figure, AP and BP are angle bisectors of ∠A and ∠B, respectively which meets at P on the parallelogram ABCD. Then 2∠APB =  ?
	a) ∠C + ∠D		b) ∠A + ∠C
	c) ∠B + ∠D		d) 2 x ∠C

Q.10	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

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