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, E is the mid-point of AB and CE bisects angle BCD. The value of angle DEC is: ![]() |
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Q.2 |
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.3 |
If we add 1 to the numerator and subtract 1 from the denominator the fraction becomes 1. It also becomes 1/2 if we add 1 to the denominator, then the sum of the numerator and the denominator of the fraction is: |
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Q.4 |
A person invested $5,000 at the rate of 6% per annum for two years at SI. At the end of two years, he took the entire amount along with interest and invested in another scheme offering 10% CI for two years. What is the total amount received at the end of four years? |
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Q.5 |
If (x3 + ax2 + bx + 4) / (x2 + x - 2) is a polynomial of degree 1 in x, then what are the values of a and b, respectively? |
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Q.6 |
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.7 |
The polynomial 11a2 - 12√2 a + 2 on factorization gives: |
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Q.8 |
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.9 |
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.10 |
1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ? |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : d | Q.3 : b | Q.4 : d | Q.5 : a | Q.6 : b | Q.7 : b | Q.8 : a | Q.9 : a | Q.10 : c