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

A die is thrown once. Find the probability of getting a number less than 8.

Q.2

In the following figure , O is the centre of the circle. If ∠MPN = 55⁰, then find the value of: 
∠MON + ∠OMN + 1/2 ∠MNO



Q.3

Which of the following relationships is correct?

Q.4

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

Q.5

20 people are invited for a party. If two particular persons are seated on either side of the host, then find the number of ways in which they and the host can be seated at a circular table:

Q.6

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 =  ?



Q.7

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



Q.8

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.

Q.9

If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?

Q.10

Which of the following is/are correct?
I. If two sides of a triangle are unequal, the larger side has the greater angle opposite to it.
II. The sum of any two sides of a triangle is greater than its third side.
III. If all the line segments can be drawn to a given line from an external point, the perpendicular line segment is the shortest.
IV. If all the three sides of a triangle are equal, it is called a scalene triangle.

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Answers to Sample Questions from CREST Olympiads:

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

Answers to Sample Questions from CREST Olympiads:

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

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