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 |
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 |
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get: |
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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 square root of 5 + 2√6 is: |
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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 |
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.8 |
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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Q.9 |
ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to: ![]() |
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Q.10 |
Which of the following relationships is correct? |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : c | Q.3 : d | Q.4 : b | Q.5 : d | Q.6 : d | Q.7 : b | Q.8 : a | Q.9 : d | Q.10 : a