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How Many Squares Are Really on a Chessboard?

Squares on a chessboard (all sizes)?

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What is the answer to the chessboard squares riddle?

204. An 8x8 chessboard has 64 single squares plus all the larger 2x2, 3x3, up to 8x8 squares. Adding them all (1+4+9+16+25+36+49+64) gives 204.

Why isn't the answer 64?

64 only counts the smallest single squares. The puzzle asks for squares of every size, including overlapping 2x2 through 8x8 squares, which brings the total to 204.

How do you calculate the number of squares on a chessboard?

Add the squares of 1 through 8: 1+4+9+16+25+36+49+64 = 204. The formula is the sum of n-squared for n=1 to 8.