**MATHEMATICS SHORTCUTS**

*1. How to Find the Square of Number ending with 5?*

*We know*

*• 52 = 25*

*• 152 = 225*

*• 252 = 625*

*Now see the similarity. In all these numbers the last two digits are same. That*

*is 25. The only thing it changes is the first digit.*

*How to find that?*

*a) What is 152?*

*We know the last two digits of the square will be 25. Now take the first digit of*

*15; i.e. 1. Multiply 1 with it’s next number. i.e. 2. So 1 x 2 = 2. Answer is 225.*

*b) What is 252?*

*We know the last two digits of the square will be 25. Now take the first digit of*

*25; i.e. 2. Multiply 2 with it’s next number. i.e. 3. So 2 x 3 = 6. Answer is 625.*

*c) What is 552?*

*(5 x 6) 25 = 3025*

*d) What is 852?*

*(8 x 9) 25 = 7225. Hardly it takes less than 5 seconds. You don’t even need to*

*write the numbers on the paper.*

*Try 1052*

*As usual (10 x 11) 25 = 11025 is the answer. Our usual method will take a*

*minimum of 30 seconds to do this simple multiplication. Now we can easily*

*save 25 seconds.*

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**MATHEMATICS SHORTCUTS**

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