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 |
ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC. |
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Q.2 |
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.3 |
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.4 |
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.5 |
In the given figure, LM is parallel to QR. If LM divides the triangle PQR such that the area of trapezium LMRQ is two times the area of triangle PLM, then what is PL/PQ equal to? ![]() |
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Q.6 |
The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________. |
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Q.7 |
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.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 |
If x = 3 + 2√2, then what will be the value of x2 + 1/x2? |
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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 : c | Q.3 : d | Q.4 : b | Q.5 : b | Q.6 : c | Q.7 : a | Q.8 : b | Q.9 : d | Q.10 : c