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June 09, 2015

Easy Trick to find Squares between 40 to 60 and 90 to 110

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Hi Friends, I am Sunkari Sandeep. Here I am sharing a simple trick to find squares between 40 to 60 and 90 to 110. Happy Reading :)

We already know squares of 1 to 10 . with this simple squares we can get squares of 40 to 60 and also 90 to 110. the way to get squares is follows

4 square is 16 so 40 square is 1600

6 square is 36 so 60 square is 3600

9 square is 81 so 90 square is 8100

11 square is 121 so 110 square is 12100

next how to get squares between 40 to 60 and 90 to 110

is simple ... get the middle numbers ie., 5 square 25 so 50 square 2500

49 square is

50-1=49 so 50 square minus 100 plus 1 is 2401

48 square is

50-2= 48 so 50 square minus 200 plus 4 is 2304

here in 50-1 , 1 represents 100 and add 1 square to get 49 square

50-2, 2 represents 200 and add 2 square to get 48 square

likewise from 47 to 41

from 50 to 60 squares , the process is same but instead of subtracting we have to add 100,200 so on ...

51 square = 50+1= 2500 +100+1= 2601

52 square = 50+2= 2500 +200+4=2704

53 square = 50+3= 2500 +300+9=2809

so on....

from 90 to 110 the above process continues but we have to double up hundreds ie....
for 100 we have to take 200
for 200 we have to take 400 so on.......

Note : This also works for square roots in reverse process


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