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How many triangles can you make on the 3 by 3 pegboard?

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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?

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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?


Age 7 to 11 Challenge Level:

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?