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	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

Q.2	In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to?
	a) 1/√2		b) 1/√3
	c) 1/2		d) 1/3

Q.3	On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
	a) 8a2		b) 8a2b
	c) 8a3b		d) 8a3

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

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	The difference between the squares of two consecutive even integers is always divisible by:
	a) 3		b) 4
	c) 6		d) 7

Q.7	If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______
	a) (61/29, -24/29)		b) (-61/29, 24/29)
	c) (61/29, 24/29)		d) (-61/29, -24/29)

Q.8	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.9	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.10	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

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