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
It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is:
Q.2
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
Q.3
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:
Q.4
A die is thrown once. Find the probability of getting a number less than 8.
Q.5
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
Q.6
The two lines 3x + 4y - 6 = 0 and 6x + ky - 7 = 0 are such that any line which is perpendicular to the first line is also perpendicular to the second line: Then, k = ______.
Q.7
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.8
In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle-point of AC. If a square is constructed with BD as one of its sides, what is the area of the square?
Q.9
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.10
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:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
c
Q.3
c
Q.4
b
Q.5
d
Q.6
d
Q.7
d
Q.8
b
Q.9
c
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : c | Q.3 : c | Q.4 : b | Q.5 : d | Q.6 : d | Q.7 : d | Q.8 : b | Q.9 : c | Q.10 : a
