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 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.2	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.3	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.4	A die is thrown once. Find the probability of getting a number less than 8.
	a) 11/23		b) 1
	c) 1/2		d) 3/2

Q.5	From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is:
	a) (8 - π) sq. cm.		b) (16 - 4 π) sq. cm.
	c) (16 - 8 π) sq. cm.		d) (4 - 2 π) sq. cm.

Q.6	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.7	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.8	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.9	If G is the centroid and AD, BE, CF are three medians of the triangle ABC with an area of 72 cm2, then the area of triangle BDG is:
	a) 12 cm2		b) 16 cm2
	c) 24 cm2		d) 8 cm2

Q.10	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

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