Maths Made Easy

 Short cut Trick to find the square of number between 30 & 40.  Short cut Trick to find the square of number between 30 & 40.                Eg: 33 2  = (30 + 3) 2                          = 30 2  + (60 x 3) + 3 2                          = 900 + 180 + 9                          = 1,089                Eg: 39 2  = (30 + 9) 2                           = 30 2  + (60 x 9) + 9 2                           = 900 + 540 + 81                           = 1,521          ...

 Short cut Trick to find the square of number between 20 & 30.  Short cut Trick to find the square of number between 20 & 30.                Eg: 23 2 = (20 + 3) 2                          = 20 2 + (40 x 3) + 3 2                          = 400 + 120 + 9                          = 529                Eg: 29 2 = (20 + 9) 2                           = 20 2 + (40 x 9) + 9 2                           = 400 + 360 + 81                           = 841           ...

 To find the square of a number between 10 & 20   Eg: 18 2 = ? Step I: Add the number to its ones digit              18 + 8 = 26 Step II: Multiply the Result of step I by 10.              26 x 10 = 260 Step III: Square the ones digit number.              8 2 = 64 Step IV: Add Step II & Step III.              260 + 64 = 324       18 2 = 324                  Eg: 13 2 = (13 + 3) x 10 + 3 2 = 160 + 9 = 169                   Eg: 17 2 = (17 + 7) x 10 + 7 2 = 240 + 49 = 289

Short cut trick to find square of a number ending with 5 and 05   Short cut trick to find square of a number ending with 5 Step I: Multiply the first digit by the first digit plus 1 Step II: Write 25 next to result of Step I.   Eg: 25 2 = 2 x (2 + 1)      25   = 625 Eg: 45 2 = 4 x (4 + 1)      25   = 2025 Eg: 75 2 = 7 x (7 + 1)      25   = 625           Short cut to find square of a number ending with 05 Step I: Square the preceeding number to 05 and multiply by 10 and add the same number. Step II: Write 025 next to result of Step I. Eg: 305 2 =   3 2 x 10 + 3       025   = 93    025 = 93025 Eg: 905 2 =   9 2 x 10 + 9       025   = 819    025 = 819025 Eg: 705 2 =   7 2 x 10 + 7       025   = 497  ...