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

The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is:

Q.3

The square root of 5 + 2√6 is:

Q.4

In the following figure, two isosceles right triangles, DEF and HGI are on the same base DH and DH are parallel to FI. If DE = GH = 9 cm and DH = 20 cm, then the area of the quadrilateral FEGI is ________.



Q.5

If we add 1 to the numerator and subtract 1 from the denominator the fraction becomes 1. It also becomes 1/2 if we add 1 to the denominator, then the sum of the numerator and the denominator of the fraction is:

Q.6

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:

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



Q.8

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

Q.9

The area of a rectangular field is 460 m2. If the length is 15% more than the breadth, then what is the breadth of the field?

Q.10

A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base of sides 9 cm, 12 cm and 15 cm. Find the height of the new prism and the change in the whole surface area:

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Answers to Sample Questions from CREST Olympiads:

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

Answers to Sample Questions from CREST Olympiads:

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

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