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 x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ? |
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Q.2 |
The square root of 5 + 2√6 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 |
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.5 |
The difference between the squares of two consecutive even integers is always divisible by: |
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Q.6 |
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.7 |
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction. |
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Q.8 |
If x = 3 + 2√2, then what will be the value of x2 + 1/x2? |
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Q.9 |
The polynomials ax2 + 3x2 - 3 and 2x3 - 5x + a when divide by (x - 4) leaves remainders R1 and R2, respectively, then value of a if 2R1 - R2 = 0, is: |
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Q.10 |
The numerical expression 3/8 + (-5)/7 = -19/56 shows that: |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : d | Q.3 : a | Q.4 : c | Q.5 : b | Q.6 : a | Q.7 : a | Q.8 : d | Q.9 : b | Q.10 : a