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 |
The numerical expression 3/8 + (-5)/7 = -19/56 shows that: |
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Q.2 |
In the given figure, AP and BP are the angle bisectors of ∠A and ∠B, respectively, and they meet at point P inside parallelogram ABCD. Then 2∠APB = ? ![]() |
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Q.3 |
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______ |
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Q.4 |
The ratio of the number of students in two classrooms, C1 and C2, is 2:3. It is observed that after shifting ten students from C1 to C2, the ratio is 3:7. Further, how many students have to be shifted from C2 to C1 for the new ratio to become 9:11? |
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Q.5 |
The area of a rectangular field is 460 m2. If the length is 15% more than the breadth, then what is the breadth of the field? |
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Q.6 |
A die is thrown once. Find the probability of getting a number greater than 6. |
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Q.7 |
A die is thrown once. Find the probability of getting a number less than 8. |
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Q.8 |
If G is the centroid and AD, BE, CF are three medians of the triangle ABC with an area of 72 cm2, then the area of triangle BDG is: |
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Q.9 |
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.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 : a | Q.3 : d | Q.4 : b | Q.5 : d | Q.6 : a | Q.7 : b | Q.8 : a | Q.9 : a | Q.10 : a