### Brain Teasers

# Checkerboard

How many squares of any size are there on an 8x8 checkerboard?

### Hint

There is one 8x8 square, four 7x7 squares...### Answer

204 squaresThere is one 8x8 square, four 7x7 squares, nine 6x6 squares, 16 5x5 squares, 25 4x4 squares, 36 3x3 squares, 49 2x2 squares, and 64 1x1 squares. It can be written like this:

(1^2)+(2^2)+(3^2)+(4^2)+(5^2)+(6^2)+(7^2)+(8^2)=204 squares

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## Comments

this isn't math?

I agree, it should be math. I also thought it was a great teaser. I almost jumped the gun with the 'quick' answer . But worked out the formula after thinking about it. Well done.

This one's really easy.

Yes easy and yes mathematics. Maybe category has been edited?

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