An 8 by 8 chessboard is placed so that a black square is in the top left-hand corner. Starting in the top left square and working along each row in turn, coloured counters are placed, one on each square, following the sequence black, white, red, black, white, red and so on. When the right-hand end of each row is reached, the pattern continues, starting at the left-hand end of the row beneath, until there is one counter on every square.
In the final arrangement, what fraction of the counters are on squares of the same colour as themselves?
Select one option, then click Submit.
Select an option, then submit.
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Intermediate Mathematical Challenge 2006 (2006)
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