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 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: |
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Q.2 |
The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is: |
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Q.3 |
A die is thrown once. Find the probability of getting a number greater than 6. |
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Q.4 |
It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is: |
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Q.5 |
The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________. |
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Q.6 |
In the given figure, AP and BP are angle bisectors of ∠A and ∠B, respectively which meets at P on the parallelogram ABCD. Then 2∠APB = ? ![]() |
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Q.7 |
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.8 |
The square root of 5 + 2√6 is: |
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Q.9 |
The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hours earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina: |
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Q.10 |
1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ? |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : c | Q.3 : a | Q.4 : b | Q.5 : a | Q.6 : a | Q.7 : b | Q.8 : d | Q.9 : d | Q.10 : b