
Visualising and representing
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problem
Putting two and two together
In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together? -
problem
Triangular faces
This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures? -
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problem
Funnel
A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?
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problem
Cola can
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
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problem
Reef and Granny
Have a look at what happens when you pull a reef knot and a granny knot tight. Which do you think is best for securing things together? Why?
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problem
How many pieces this time?
How many pieces of string have been used in these patterns? Can you describe how you know? -