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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?

Cut and Make

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

Midpoint Triangle

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

Square to L

Age 7 to 11
Challenge Level

Cassandra (from Cambridge) and Josh (from Bedfordshire) both say to cut out the top right quarter of the square and put them on top.

Audre (from Singapore) says to "Split the square in half horizontally or vertically then join them''.

Arthur (from Cambridge) found a different way: "In the top right corner, cut a row of 3 joined to a row of 2 underneath. Flip it over and join it to the top''.

Are there more ways to do it??

If you've gone further with pupils then you might like to see these results.