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
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.2
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.3
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.4
If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
Q.5
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.6
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.7
The square root of 5 + 2√6 is:
Q.8
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
Q.9
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.10
The ratio of the number of students in two classrooms, C1 and C2, is 2:3. It is observed that after shifting ten students from C1 to C2, the ratio is 3:7. Further, how many students have to be shifted from C2 to C1 for the new ratio to become 9:11?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
d
Q.2
a
Q.3
d
Q.4
d
Q.5
c
Q.6
c
Q.7
d
Q.8
c
Q.9
a
Q.10
b
Answers to Sample Questions from CREST Olympiads:
Q.1 : d | Q.2 : a | Q.3 : d | Q.4 : d | Q.5 : c | Q.6 : c | Q.7 : d | Q.8 : c | Q.9 : a | Q.10 : b
