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	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.2	Train A can cross a 180 m long platform in 90 seconds. Train B has a speed which is twice that of A. A's length is 90% that of B. B can cross a 200 m long platform in x seconds. Find x.
	a) 40		b) 45
	c) 50		d) 60

Q.3	ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:
	a) 90⁰		b) 60⁰
	c) 56⁰		d) 62⁰

Q.4	If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
	a) -1		b) 1
	c) 2		d) -2

Q.5	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.6	1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ?
	a) a3 + b3 + c3 + 3abc		b) a3 + b3 + c3 - 3abc
	c) a3 + b3 + c3 + 3abc(a + b + c)		d) 3abc

Q.7	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.8	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.9	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.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

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