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 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.2 |
It is known that if x + y = 10, then x + y + z = 10 + z. The Euclid's axiom that illustrates this statement is: |
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Q.3 |
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.4 |
ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to: ![]() |
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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 |
If (4 + 3√5)/(4 - 3√5) = a + b√5, then (a, b) = _______ |
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Q.7 |
Which of the following relationships is correct? |
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Q.8 |
In the following figure , O is the centre of the circle. If ∠MPN = 55⁰, then find the value of: ![]() |
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Q.9 |
If x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k 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 : b | Q.2 : c | Q.3 : c | Q.4 : d | Q.5 : b | Q.6 : d | Q.7 : a | Q.8 : b | Q.9 : c | Q.10 : a