It is difficult to calculate mentally but once you start doing it you start enjoying calculations, moreover it saves time. We can use the short cut methods to verify our answers also.
Let us discuss some techniques.
1. Finding square of numbers between 50 to 60.
Let us take number 54. We can calculate using traditional way. It is 2916. Short cut method is
Step 1- Add the right digit i.e. 4 to 25. 4+25=29.
Step 2- Square the right digit i.e. 4. 4x4=16
Step 3- Answer is 2916.
56 x 56 = (25+6)36 i.e. 3136.
58 x 58 = (25+8)64 i.e. 3364.
Try more.