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Take an A4 piece of paper ...
How small can you make it by folding?
How many different sorts of triangle can you produce by folding?
Can you produce four identical triangles?

What is the quickest way to produce a square?
Can you make other quadrilaterals by folding?

Or by folding a long sheet of paper ...

piece of paper folded to make long shape

What can you produce?
Other shapes?
More folds?