All the squares on a chessboard

How many squares of all sizes ( $1\times1$ up to $8\times8$ ) can be found on a standard $8\times 8$ chessboard?

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How many $k\times k$ squares fit? Their top-left corner has $(9-k)^2$ placements.
$\sum_{k=1}^8 (9-k)^2=\sum_{j=1}^8 j^2=204$ .

Answer

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204

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