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
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:
Q.2
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?
Q.3
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.4
The difference between the squares of two consecutive even integers is always divisible by:
Q.5
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.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
1/2 (a + b + c) {(a - b)2 + (b - c)2 + (c - a)2} = ?
Q.8
A rectangular box has dimensions x, y and z units, where x < y < z. If one dimension is increased by one unit, then the increase in volume is:
Q.9
In the following figure , O is the centre of the circle. If ∠MPN = 55⁰, then find the value of: ∠MON + ∠OMN + 1/2 ∠MNO
Q.10
ABCD is a rhombus with angle ABC = 56⁰, then angle ACD is equal to:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
b
Q.2
b
Q.3
d
Q.4
b
Q.5
b
Q.6
b
Q.7
c
Q.8
a
Q.9
b
Q.10
d
Answers to Sample Questions from CREST Olympiads:
Q.1 : b | Q.2 : b | Q.3 : d | Q.4 : b | Q.5 : b | Q.6 : b | Q.7 : c | Q.8 : a | Q.9 : b | Q.10 : d
