**CHAPTER - 1**

- State Euclid division lemma.

- Prove that {root 5} is an irrational number.
- Prove that cube of any +ve integer is 9m, 9m+1 or 9m+8 where q is some integer

**CHAPTER - 5**

- find the nth term of the A.P. 2, 5, 8……………, find its 54 Th term
- What are an A.P. and a term?
- Find the sum of first
*n*odd natural numbers. - Find sum of first 22 terms of an A.P. in which d=22 and a22=149.
- A man is employed to count Rs 10710.He counts @ Rs 180/minute for half an hour. After it he counts @Rs 3 less than the preceding minute. What time he had taken to count the entire money?

**CHAPTER - 7{Theorems only}**

- Thale’s theorem.
- If 2 triangles ABC and PQR are similar then prove that ratios of their areas are in ratio of squares of their corresponding sides.
- Pythagoras theorem.