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	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.3	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.4	Which of the following relationships is correct?
	a) P(E) + P(E bar) = 1		b) P(E bar) - P(E) = 1
	c) P(E) = 1 + P(E bar)		d) None of these

Q.5	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.6	If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
	a) 35		b) 32
	c) 36		d) 34

Q.7	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.8	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.9	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.10	The square root of 5 + 2√6 is:
	a) √3 + 2		b) √3 - √2
	c) √2 - √3		d) √3 + √2

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