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.
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.
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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
| Q.1 | Q.2 | Q.3 | Q.4 | Q.5 | Q.6 | Q.7 | Q.8 | Q.9 | Q.10 |
Q.1 |
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is: |
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Q.2 |
In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to? ![]() |
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Q.3 |
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get: |
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Q.4 |
The square root of 5 + 2√6 is: |
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Q.5 |
ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC. |
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Q.6 |
The difference between the squares of two consecutive even integers is always divisible by: |
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Q.7 |
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______ |
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Q.8 |
The points A(2, 3), B(3, 5), C(7, 7) and D(5, 6) are such that: |
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Q.9 |
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: |
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Q.10 |
If x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ? |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : b | Q.3 : d | Q.4 : d | Q.5 : c | Q.6 : b | Q.7 : d | Q.8 : d | Q.9 : a | Q.10 : a