Q1 of 114 Page 3

Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:

(i) 25


(ii) 37


(iii) 54


(iv) 71


(v) 96

(i) 25

Here, a = 2, b = 5



252 = 625


And,


252 = 25× 25 = 625


(ii) 37


Here, a = 3, b = 7



372 = 1369


And,


372 = 37× 37 = 1369


(iii) 54


Here, a = 5, b = 4



542 = 2916


And,


542 = 54× 54 = 2916


(iv) 71


Here, a = 7, b = 1



712 = 4941


And,


712 = 71× 71 = 4941


(v) 96


Here, a = 9, b = 6



962 = 9216


And,


962 = 96× 96 = 9216


More from this chapter

All 114 →
14

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

 15

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.

 2

Find the squares of the following numbers using diagonal method:

(i) 98


(ii) 273


(iii)348


(iv) 295


(v) 171

 3

Find the squares of the following numbers:

(i) 127 (ii) 503


(iii) 450 (iv) 862


(v) 265