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	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.2	A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base of sides 9 cm, 12 cm and 15 cm. Find the height of the new prism and the change in the whole surface area:
	a) 10 cm, 120 cm2		b) 8 cm, 132 cm2
	c) 10 cm, 132 cm2		d) 8 cm, 120 cm2

Q.3	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.4	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

Q.5	In the given figure, AP and BP are angle bisectors of ∠A and ∠B, respectively which meets at P on the parallelogram ABCD. Then 2∠APB =  ?
	a) ∠C + ∠D		b) ∠A + ∠C
	c) ∠B + ∠D		d) 2 x ∠C

Q.6	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.7	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.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	The area of a rectangular field is 460 m2. If the length is 15% more than the breadth, then what is the breadth of the field?
	a) 15 m		b) 34.5 m
	c) 26 m		d) 20 m

Q.10	If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
	a) -2		b) -1
	c) 1		d) 2

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