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A set of shapes has five pieces:
Can you make a square using four of the pieces?
You may like to use the interactivity below to try out your ideas, or download this sheet with two sets of pieces for printing and cutting.
Now, can you make a square using all five pieces?
Now, add another set of five pieces (so now there are ten). Can you make a square with all of them?
Printable NRICH Roadshow resource.
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 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?
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.