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 x = a(b - c), y = b(c - a) and z = c(a - b), then (x/a)3 + (y/b)3 + (z/c)3 = ?
Q.2
ABCD is a parallelogram, E is the mid-point of AB and CE bisects angle BCD. The value of angle DEC is:
Q.3
On simplifying (a + b)3 + (a - b)3 + 6a(a2 - b2) we get:
Q.4
ABCD is a parallelogram, if the two diagonals are equal, find the measure of angle ABC.
Q.5
In measuring the sides of a rectangle, there is an excess of 5% on one side and 2% deficit on the other. Then the error per cent in the area is:
Q.6
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.7
If x = 3 + 2√2, then what will be the value of x2 + 1/x2?
Q.8
20 people are invited for a party. If two particular persons are seated on either side of the host, then find the number of ways in which they and the host can be seated at a circular table:
Q.9
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.10
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
b
Q.3
d
Q.4
c
Q.5
c
Q.6
d
Q.7
d
Q.8
a
Q.9
b
Q.10
b
Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : b | Q.3 : d | Q.4 : c | Q.5 : c | Q.6 : d | Q.7 : d | Q.8 : a | Q.9 : b | Q.10 : b
