Squares of Numbers ending in 5

How to find Squares of Numbers ending in 5 in less than 3 seconds? 35 2 45 2 85 2 etc.

Lets take for example 35 35 x

Here we see that 35 35 x That the Units place adds upto 5+5 = 10 and that the Ten’s place is same.

When this is true what we do is 35 35 x Apply the Word Formulae ‘ By one more than the One before” to the ten’s place. So Whats 1 more than 3?. It is 4. So we multiply 3 with 4 to get 12. That’s the first part of our answer. 12

To get the second part of our answer 35 35 x We multiply 5 with 5 to get 25. That’s the second part of our answer. So our answer becomes 1225. 1225

Now try 85 85 x

Solution 85 85 x 7225 We multiply 5 with 5 to get 25. And multiply 8 with the next number 9 to get 72. So our answer becomes 7225. Simple.

Now try 45 2 55 2 65 2 95 2 105 2 125 2 etc. in the same way.

Now what do we do for these sums? 26 24 x 48 42 x 67 63 x

Note that the units add upto 10 and the tens place is same. So we can apply the same rule “ By one more than the One before” . Lets see what we get. 26 24 x 48 42 x 67 63 x

In 48 x 42 we have 4 multiplied with the next number 5 which gives us 20 and 8 x2 which gives us 16. Therefore our answer 2016. Similarly try the other sums. 26 24 x 48 42 x 67 63 x 6|24 20|16 42|21

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Squares of Numbers ending in 5

by gtekriwal on Oct 31, 2006

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