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
The polynomials ax2 + 3x2 - 3 and 2x3 - 5x + a when divide by (x - 4) leaves remainders R1 and R2, respectively, then value of a if 2R1 - R2 = 0, is:
Q.2
An urn contains 6 blue and 'P' green balls. If the probability of drawing a green ball is double that of drawing a blue ball, then 'P' is equal to:
Q.3
The square root of 5 + 2√6 is:
Q.4
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
Q.5
If G is the centroid and AD, BE, CF are three medians of the triangle ABC with an area of 72 cm2, then the area of triangle BDG is:
Q.6
The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________.
Q.7
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.8
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.9
1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ?
Q.10
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:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
d
Q.3
d
Q.4
c
Q.5
a
Q.6
c
Q.7
b
Q.8
b
Q.9
c
Q.10
d
Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : d | Q.3 : d | Q.4 : c | Q.5 : a | Q.6 : c | Q.7 : b | Q.8 : b | Q.9 : c | Q.10 : d
