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Square Corners

Age 7 to 11 Challenge Level:

On each of these grids the counters lie at the four corners of a square:

        

What is the greatest number of counters you can place on the grid without four of them lying at the corners of a square?
 

You might like to use this printable sheet.


This problem is taken from 'Mathematical Challenges for Able Pupils Key Stages 1 and 2', published by DfES.