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 (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.2	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.3	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

Q.4	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.5	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.6	20 people are invited for a party. If two particular persons are seated on either side of the host, then find the number of ways in which they and the host can be seated at a circular table:
	a) 2 (18)!		b) 18! 3!
	c) 19! 2!		d) None of these

Q.7	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.8	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.9	If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
	a) 35		b) 32
	c) 36		d) 34

Q.10	ABCD is a parallelogram, E is the mid-point of AB and CE bisects angle BCD. The value of angle DEC is:
	a) 60⁰		b) 90⁰
	c) 100⁰		d) 120⁰

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