Find the sum of the digits of (111111111)².

Write the digit in unit’s place when the following number are squared:

4, 5, 9, 24, 17, 76, 34, 52, 33, 2319, 18, 3458, 3453.

Write all numbers from 400 to 425 which end in 2, 3, 7 or 8. Check if any of these is a perfect square.

Suppose x² + y² = z².

(i) if x = 4 and y = 3, find z;

(ii) if x = 5 and z = 13, find y;

(iii) if y = 15 and z = 17, find x.

A sum of Rs. 2304 is equally distributed among several people. Each gets as many rupees as the number of persons. How much does each one get?