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### Number and algebra

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### Working mathematically

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### For younger learners

# Square Tangram

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Age 7 to 11

Challenge Level

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.