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
A right triangular prism of height 18 cm and of base sides 5 cm, 12 cm and 13 cm is transformed into another right triangular prism on a base of sides 9 cm, 12 cm and 15 cm. Find the height of the new prism and the change in the whole surface area:
Q.2
The circum-centre of the triangle formed by points O(0, 0), A(6, 0) and B(0, 6) is ___________.
Q.3
The speed of Karolina is 5 km/h more than that of Andrea. Andrea reaches his home from office 2 hours earlier than Karolina. If Andrea and Karolina stay 12 km and 48 km from their respective offices, find the speed of Karolina:
Q.4
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:
Q.5
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.6
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.7
The solution set formed by the regions x + y > 7 and x + y < 10 in the first quadrant represents a _________.
Q.8
From four corners of a square sheet of side 4 cm, four pieces, each in the shape of an arc of a circle with a radius of 2 cm are cut out. The area of the remaining portion is:
Q.9
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.10
If (x3 + ax2 + bx + 4) / (x2 + x - 2) is a polynomial of degree 1 in x, then what are the values of a and b, respectively?
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
c
Q.2
a
Q.3
d
Q.4
a
Q.5
a
Q.6
b
Q.7
c
Q.8
b
Q.9
b
Q.10
a
Answers to Sample Questions from CREST Olympiads:
Q.1 : c | Q.2 : a | Q.3 : d | Q.4 : a | Q.5 : a | Q.6 : b | Q.7 : c | Q.8 : b | Q.9 : b | Q.10 : a
