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

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	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.2	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.3	The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hours earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina:
	a) 10 km/h		b) 4 km/h
	c) 9 km/h		d) 6.25 km/h

Q.4	The polynomial 11a2 - 12√2 a + 2 on factorization gives:
	a) (11a + √2) (a - √2)		b) (a - √2) (11a - √2)
	c) (a + 11) (a + √2)		d) (11a - √2) (a + √2)

Q.5	The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is:
	a) 2 : 3, y = 3		b) 3 : 2, y = 4
	c) 3 : 2, y = 3		d) 3 : 2, y = 2

Q.6	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.7	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.8	If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?
	a) 3xyz/abc		b) xyz/abc
	c) 3xyzabc		d) 3

Q.9	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.10	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)

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