Prison Cell Maths Investigation

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?

Please download or print off the full maths investigation for you to solve below:

Prison Cell Investigation

Hint: There is more than one solution. How many solutions can you find?

Have fun!


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