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 |
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. |
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Q.2 |
If (x3 + ax2 + bx + 4) / (x2 + x - 2) is a polynomial of degree 1 in x, then what are the values of a and b, respectively? |
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Q.3 |
From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is: |
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Q.4 |
Which of the following relationships is correct? |
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Q.5 |
ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to: ![]() |
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Q.6 |
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: |
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Q.7 |
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get: |
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Q.8 |
A die is thrown once. Find the probability of getting a number less than 8. |
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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: |
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Q.10 |
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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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : b | Q.4 : a | Q.5 : d | Q.6 : a | Q.7 : d | Q.8 : b | Q.9 : c | Q.10 : a