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 |
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.2 |
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.3 |
ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC. |
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Q.4 |
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.5 |
The polynomial 11a2 - 12√2 a + 2 on factorization gives: |
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Q.6 |
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.7 |
A speaks truth in 60% of cases and B speaks the truth in 70% of cases. The probability that they will say the same thing while describing a single event is: |
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Q.8 |
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.9 |
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______ |
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Q.10 |
The cost of a precious stone varies as the cube of its weight. The stone broke into 3 pieces whose weights are in the ratio 1:2:3. As a result, its cost is reduced. If the cost of the unbroken stone is $96,336, then find the loss incurred due to breakage. |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : c | Q.3 : c | Q.4 : c | Q.5 : b | Q.6 : b | Q.7 : b | Q.8 : c | Q.9 : d | Q.10 : a