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.

>> Join CREST Olympiads WhatsApp Channel for latest updates. Sample PDF of CREST Mathematics Olympiad for Class 9:

If your web browser doesn't have a PDF Plugin. Instead you can Click here to download the PDF

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	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.3	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.4	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

Q.5	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.6	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.7	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.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	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.10	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

Your Score: 0/10