Okay so we received several answers ranging from 0 - 205.
It was requested that I post the answer.
Most of the populous is aware the chess Board is made of 64 square tiles. Being 8 tiles on a side it seems logical to say 8x8 = 64.
However this is only 1/8th of the true answer, because it neglects to recognize the other 7 sized squares. Such as the 2x2 squares, or the 3x3 squares. The number of these squares on a side are inversely propotionate to their size.
So on each side there are not only
8 - 1x1 squares, but also
7 - 2x2 squares,
6 - 3x3 squares
5 - 4x4 "
4 - 5x5 "
3 - 6x6 "
2 - 7x7 "
and yes the board itself is 1 large 8x8 square.
Having determined the number of squares on a side you do a little multiplication.
8x8 = 64 the common answer
7x7 = 49
6x6 = 36
5x5 = 25
4x4 = 16
3x3 = 9
2x2 = 4
1x1 = 1 and a little addition
And now you can go stump all of your less informed friends.