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Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with $15$ copies of itself, be used to cover an eight by eight chessboard?

A tetronimo.

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What about the other four tetrominoes?

If the set of tetrominoes can fill the board sketch a solution showing how this can be done and if it is impossible to cover the board then explain why.