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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 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.2 |
The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________. |
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Q.3 |
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.4 |
ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC. |
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Q.5 |
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.6 |
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.7 |
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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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 |
ABCD is a square of side 'a' cm. AB, BC, CD and AD are all chords of circles with equal radii. If the chords subtend an angle of 120⁰ at the centre of their respective circles, find the total area of the given figure, where arcs are a part of the circle: ![]() |
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Q.10 |
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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Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : a | Q.3 : b | Q.4 : c | Q.5 : b | Q.6 : c | Q.7 : a | Q.8 : a | Q.9 : b | Q.10 : d