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 |
In the following figure, two isosceles right triangles, DEF and HGI are on the same base DH and DH are parallel to FI. If DE = GH = 9 cm and DH = 20 cm, then the area of the quadrilateral FEGI is ________. ![]() |
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Q.2 |
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is: |
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Q.3 |
Which of the following is/are correct? |
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Q.4 |
The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is: |
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Q.5 |
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.6 |
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.7 |
ABCD is a rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). P, Q, R, and S are mid-points of AB, BC, CD and DA, respectively. The quadrilateral PQRS is a: |
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Q.8 |
A speaks truth in 60% of cases and B speaks the truth in 70% of cases. The probability that they will say the same thing while describing a single event is: |
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Q.9 |
1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ? |
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Q.10 |
The difference between the squares of two consecutive even integers is always divisible by: |
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Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : c | Q.3 : b | Q.4 : c | Q.5 : b | Q.6 : d | Q.7 : c | Q.8 : b | Q.9 : c | Q.10 : b