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 numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction.
	a) 3/7		b) 4/8
	c) 2/7		d) 3/8

Q.2	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)

Q.3	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.4	The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________.
	a) (3, 3)		b) (2, 2)
	c) (1, 1)		d) (0, 0)

Q.5	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.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(a + b + c)
	c)  a3 + b3 + c3 - 3abc		d) 3abc

Q.7	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.8	ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). P, Q, R, and S are mid-points of AB, BC, CD and DA, respectively. The quadrilateral PQRS is a:
	a) Square		b) Rectangle
	c) Rhombus		d) None of these

Q.9	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.10	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)

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