Q13 of 114 Page 3

Which of the numbers for which you cannot decide whether they are squares.

All the natural numbers whose unit digit is 0, 1, 4, 5, 6 or 9 can not be said surely if they are square numbers or not

Which of the following numbers are squares of even numbers?

121, 225, 256, 324, 1296, 6561, 5476, 4489, 373758

By just examining the units digits, can you tell which of the following cannot be whole squares?

(i) 1026 (ii) 1028

(iii)1024 (iv) 1022

(v) 1023 (vi) 1027

Write five numbers which you cannot decide whether they are square just by looking at the unit’s digit.

Write true (T) or false (F) for the following statements.

(i) The number of digits in a square number is even.

(ii) The square of a prime number is prime

(iii) The sum of two square numbers is a square number.

(iv) The difference of two square numbers is a square number.

(v) The product of two square numbers is a square number.

(vi) No square number is negative.

(vii) There is no square number between 50 and 56.

(viii) There are fourteen square number upto 200.