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 Questions

Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10

Q.1

Two years ago, the ratio of A's age to B's age at that time was 5:9. A's age three years ago was 13 years less than B's age six years ago. What is B's present age?

Q.2

If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:

Q.3

The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________.

Q.4

The points A(2, 3), B(3, 5), C(7, 7) and D(5, 6) are such that:

Q.5

ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:



Q.6

A person invested $5,000 at the rate of 6% per annum for two years at SI. At the end of two years, he took the entire amount along with interest and invested in another scheme offering 10% CI for two years. What is the total amount received at the end of four years?

Q.7

1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ?

Q.8

ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle:



Q.9

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:

Q.10

In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to?



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Answers to Sample Questions from CREST Olympiads:

Q.1aQ.2bQ.3aQ.4dQ.5dQ.6dQ.7cQ.8bQ.9cQ.10b

Answers to Sample Questions from CREST Olympiads:

Q.1 : a | Q.2 : b | Q.3 : a | Q.4 : d | Q.5 : d | Q.6 : d | Q.7 : c | Q.8 : b | Q.9 : c | Q.10 : b

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