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
In the following figure, two isosceles right triangles, DEF and HGI are on the same base DH and DH are parallel to FI. If DE = GH = 9 cm and DH = 20 cm, then the area of the quadrilateral FEGI is ________.
Q.2
If (x + y + z) = 1, xy + yz + zx = -1, xyz = -1, then the value of x3 + y3 + z3 is:
Q.3
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.4
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.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
Train A can cross a 180 m long platform in 90 seconds. Train B has a speed which is twice that of A. A's length is 90% that of B. B can cross a 200 m long platform in x seconds. Find x.
Q.7
The points A(2, 3), B(3, 5), C(7, 7) and D(5, 6) are such that:
Q.8
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:
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 x3 + 5x2 + 10k leaves remainder -2x when divided by x2 + 2, then the value of k is:
Your Score: 0/10
Answers to Sample Questions from CREST Olympiads:
Q.1
a
Q.2
b
Q.3
c
Q.4
a
Q.5
a
Q.6
c
Q.7
d
Q.8
b
Q.9
b
Q.10
c
Answers to Sample Questions from CREST Olympiads:
Q.1 : a | Q.2 : b | Q.3 : c | Q.4 : a | Q.5 : a | Q.6 : c | Q.7 : d | Q.8 : b | Q.9 : b | Q.10 : c
