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.
What's Included in the Sample Paper?
Well-structured multiple-choice questions based on Class 9 maths topics.
Two sections: Practical Mathematics and Achiever's Section to develop deeper thinking.
Answer key with explanations to support guided learning and independent revision.
Download the Class 9 Maths Olympiad Sample Paper (PDF)
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.
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
The ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3) and hence the value of y is:
Q.2
In the given figure, AP and BP are angle bisectors of ∠A and ∠B, respectively which meets at P on the parallelogram ABCD. Then 2∠APB = ?
Q.3
Which of the following is/are correct? I. If two sides of a triangle are unequal, the larger side has the greater angle opposite to it. II. The sum of any two sides of a triangle is greater than its third side. III. If all the line segments can be drawn to a given line from an external point, the perpendicular line segment is the shortest. IV. If all the three sides of a triangle are equal, it is called a scalene triangle.
Q.4
A die is thrown once. Find the probability of getting a number greater than 6.
Q.5
The difference between the squares of two consecutive even integers is always divisible by:
Q.6
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:
Q.7
The square root of 5 + 2√6 is:
Q.8
The two lines 3x + 4y - 6 = 0 and 6x + ky - 7 = 0 are such that any line which is perpendicular to the first line is also perpendicular to the second line: Then, k = ______.
Q.9
The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator, then find the fraction.
Q.10
In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle-point of AC. If a square is constructed with BD as one of its sides, what is the area of the square?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
a
Q.3
b
Q.4
a
Q.5
b
Q.6
b
Q.7
d
Q.8
d
Q.9
a
Q.10
b
Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : b | Q.4 : a | Q.5 : b | Q.6 : b | Q.7 : d | Q.8 : d | Q.9 : a | Q.10 : b
