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  • Early Years Foundation Stage

Rearrange the Square

Age 5 to 7
Challenge Level Yellow star
  • Problem
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A pupil from Lauriston School said:

The best way to do this is to do it physically, always look for the long side.

Louise suggests a different method:

Locate either the short side where the cut was made or three remaining right angles, then draw in the sides of the square, this will allow you to see where the triangle has been placed.

Sam from Godalming College submitted this solution which he says he did by sight:

Well done Sam and thank you everyone for writing in!




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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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