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'Prison Cells' printed from http://nrich.maths.org/

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There are seventy eight prisoners in a square cell block of twelve cells. There is one prisoner in one of the cells, two in another cell, three in another, four in another and so on up to twelve prisoners in one of the cells.

The clever prison warder made it easy to check if the prisoners were all there by arranging them so there were twenty five along each wall of the prison block. How did he do it?


(There's more than one solution - send yours in - it might be different to everyone else's!)

Here is an interactive game with which to experiment.

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