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	The ratio of the number of students in two classrooms, C1 and C2, is 2:3. It is observed that after shifting ten students from C1 to C2, the ratio is 3:7. Further, how many students have to be shifted from C2 to C1 for the new ratio to become 9:11?
	a) 10		b) 15
	c) 20		d) 8

Q.2	The polynomials ax2 + 3x2 - 3 and 2x3 - 5x + a when divide by (x - 4) leaves remainders R1 and R2, respectively, then value of a if 2R1 - R2 = 0, is:
	a) -18/127		b) 18/31
	c) 17/127		d) -17/31

Q.3	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.4	If (x3 + ax2 + bx + 4) / (x2 + x - 2) is a polynomial of degree 1 in x, then what are the values of a and b, respectively?
	a) -1, -4		b) -1, 4
	c) 3, -4		d) 3, 4

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

Q.6	The numerical expression 3/8 + (-5)/7 = -19/56 shows that:
	a) Rational numbers are closed under addition		b) Rational numbers are not closed under addition
	c) Rational numbers are closed under multiplication		d) Addition of rational numbers is not commutative

Q.7	In the following figure , O is the centre of the circle. If ∠MPN = 55⁰, then find the value of:  ∠MON + ∠OMN + 1/2 ∠MNO
	a) 145⁰		b) 162 1/2⁰
	c) 158 1/2⁰		d) 180⁰

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

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

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