Methodical recommendation:

Theory

Number Name Description
1. Introduction to irrational numbers Know the irrational numbers.

Practice Questions

Number Name Type Difficulty Marks Description
1. Identify the irrational number Other easy 1 m. To anlyse and identify the irrational number.
2. The story of pi (π) Other medium 4 m. To know the story of pi(π).
3. TBQ - Prove the irrationality Other medium 3 m. To verify whether the given number is an irrational number using the method of 'proof by contradiction'.
4. Prove the following Other medium 4 m. Try to prove the given irrational number.
5. Verify the following Other medium 3 m. To verify whether the given number is an irrational number using the method of 'proof by contradiction'.
6. TBQ - Construction of length √n on the number line Other medium 4 m. Learn to represent the irrational number on the number line.
7. TBQ - Find the length of the hypotenuse Other medium 1 m. Practice a problem based on square root spiral.
8. Constructing a square root spiral Other hard 3 m. To draw the square root spiral for the given number using the number line.
9. Analyse and answer the question Other hard 1 m. To understand Properties of real numbers
10. CBQ - Operations on irrational numbers Other hard 4 m. To find the area of the rectangular bed