How many squares of any size are there on an 8 by 8 grid?

8x8=64(1x1)

7x7=49(2x2)

6x6=36(3x3)

5x5=25(4x4)

4x4=16(5x5)

3x3=9 (6x6)

2x2=4 (7x7)

1x1=1 (8x8)

64+49+36+25+16+9+4+1=204

Total=204