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 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.2
If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?
Q.3
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.4
ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle:
Q.5
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.6
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
Q.7
If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
Q.8
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.9
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.10
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
a
Q.3
a
Q.4
b
Q.5
b
Q.6
b
Q.7
d
Q.8
d
Q.9
b
Q.10
d
Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : a | Q.3 : a | Q.4 : b | Q.5 : b | Q.6 : b | Q.7 : d | Q.8 : d | Q.9 : b | Q.10 : d
