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.
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
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
From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is:
Q.3
A rectangular box has dimensions x, y and z units, where x < y < z. If one dimension is increased by one unit, then the increase in volume is:
Q.4
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
Q.5
If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
Q.6
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______
Q.7
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.8
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.9
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
Q.10
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 ________.
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
b
Q.3
a
Q.4
c
Q.5
d
Q.6
d
Q.7
c
Q.8
c
Q.9
d
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : b | Q.3 : a | Q.4 : c | Q.5 : d | Q.6 : d | Q.7 : c | Q.8 : c | Q.9 : d | Q.10 : a
