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 |
In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error per cent in the area is: |
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Q.2 |
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get: |
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Q.3 |
The square root of 5 + 2√6 is: |
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Q.4 |
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is: |
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Q.5 |
The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________. |
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Q.6 |
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______ |
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Q.7 |
Two years ago, the ratio of A's age to B's age at that time was 5:9. A's age three years ago was 13 years less than B's age six years ago. What is B's present age? |
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Q.8 |
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k 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 |
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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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : d | Q.3 : d | Q.4 : b | Q.5 : c | Q.6 : d | Q.7 : a | Q.8 : c | Q.9 : d | Q.10 : c