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 x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is: |
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Q.2 |
20 people are invited for a party. If two particular persons are seated on either side of the host, then find the number of ways in which they and the host can be seated at a circular table: |
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Q.3 |
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.4 |
A die is thrown once. Find the probability of getting a number greater than 6. |
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Q.5 |
ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle: ![]() |
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Q.6 |
Which of the following relationships is correct? |
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Q.7 |
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.8 |
ABCD is a parallelogram, E is the mid-point of AB and CE bisects angle BCD. The value of angle DEC is: ![]() |
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Q.9 |
A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base of sides 9 cm, 12 cm and 15 cm. Find the height of the new prism and the change in the whole surface area: |
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Q.10 |
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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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : c | Q.4 : a | Q.5 : b | Q.6 : a | Q.7 : d | Q.8 : b | Q.9 : c | Q.10 : c