Mathematics Olympiad Sample Papers for Class 11

Math Olympiad Sample Paper for Class 11

Welcome to the Math Olympiad Sample Paper for Class 11! This paper is designed to help students practice and strengthen their math skills through engaging questions, activities, and creative exercises. The focus is on algebra, geometry, trigonometry, arithmetic, and logical reasoning.

Algebra

Questions:

Solve for x: 2x^2 - 5x + 3 = 0
If a + b = 10 and a - b = 4, find a and b.
Expand: (x + 2)^2
Find the value of: 4a^2 - 3b, if a = 2, b = 1

Geometry

Draw a triangle with sides 8 cm, 10 cm, and 12 cm.
What is the sum of the angles in a hexagon?
Define a trapezium and list its properties.

Trigonometry

Find the value of sin 30° + cos 60°.
If tan θ = 1, what is the value of θ?
State the Pythagorean identity.

Arithmetic

Find the HCF of 54 and 72.
Calculate: 325 × 18
What is 1800 ÷ 36?

Word Problems

A train travels 240 km in 4 hours. What is its average speed?

Sample Questions

Solve: 3x^2 - 12 = 0
What is the area of a triangle with base 12 cm and height 8 cm?
Draw a circle and mark its tangent.
Write the next term in the sequence: 5, 10, 20, 40, ___?

Practice Activity

Activity:

List all prime numbers between 50 and 100.
Draw a trapezium and color it.

Fun Activity

Create a trigonometry puzzle for your friends and solve it together.