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by Brian Gladman on August 11, 2015

Sunday Times Teaser 2759 – King Lear II

by Nick MacKinnon

The King divided his square kingdom into sixteen equal smaller squares, keeping one and dividing the rest among his daughters in the form of identically shaped connected areas each consisting of more than one of the small squares.

Knowing which type of square the King kept (corner, edge or centre) would allow you to work out how many daughters he had.

When the squares are numbered from 1 to 16 from left to right and then top to bottom, the sum of the numbers on Cordelia’s squares is a perfect square.  Knowing this value would allow you to work out the number of the square kept by the King.

What was this number and what were the numbers on Cordelia’s squares?

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