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For younger learners

  • Early Years Foundation Stage

Cut and Make

Age 7 to 11
Challenge Level Yellow star
  • Problem
  • Student Solutions
  • Teachers' Resources

Take a square of paper, fold it in half from corner to corner and cut along the fold.

Take one of the triangles, fold it in half and cut along the fold.

square with lines marking cuts

Use the three pieces to make a large triangle, a parallelogram and the square again.

triangle parallelogram square

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Cutting Corners

Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

Square to L

Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.

Midpoint Triangle

Can you cut up a square in the way shown and make the pieces into a triangle?

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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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