Visualising and representing

  • Fitting flat shapes
    problem

    Fitting flat shapes

    Age
    16 to 18
    Challenge level
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    How efficiently can various flat shapes be fitted together?
  • bio graphs
    problem

    Bio graphs

    Age
    14 to 16
    Challenge level
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    What biological growth processes can you fit to these graphs?

  • Putting Two and Two Together
    problem

    Putting two and two together

    Age
    7 to 11
    Challenge level
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    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?
  • Triangular Faces
    problem

    Triangular faces

    Age
    7 to 11
    Challenge level
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    This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?
  • Sea Level
    problem

    Sea level

    Age
    7 to 11
    Challenge level
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    What numbers would you put on this number line as it goes under the sea level?

  • problem

    Funnel

    Age
    14 to 16
    Challenge level
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    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 ?

  • Cola can
    problem

    Cola can

    Age
    11 to 14
    Challenge level
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    An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

  • Reef and Granny
    problem

    Reef and Granny

    Age
    7 to 11
    Challenge level
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    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?

  • How Many Pieces This Time?
    problem

    How many pieces this time?

    Age
    5 to 7
    Challenge level
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    How many pieces of string have been used in these patterns? Can you describe how you know?
  • How Many Pieces?
    problem

    How many pieces?

    Age
    5 to 7
    Challenge level
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    How many loops of string have been used to make these patterns?