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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?

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.

Twice as Big?

Age 7 to 11
Challenge Level

We received several solutions to this problem - thank you to all of you who wrote in, including Ivy, Kelsie and William from Mason Middle School; Issy from Culford Prep and Jessica and Philip from CWBS. Here is the image that Jessica and Philip sent:


We also had suggestions about how to go about tackling the problem, for example by starting at the top and fitting shapes in, then gradually working down. Very good advice!