Exploring and noticing

  • Strange Bank Account
    problem

    Strange bank account

    Age
    11 to 14
    Challenge level
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    Imagine a very strange bank account where you are only allowed to do two things...

  • ReflectoR ! RotcelfeR
    problem

    ReflectoR ! RotcelfeR

    Age
    7 to 11
    Challenge level
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    Can you place the blocks so that you see the reflection in the picture?

  • Fence it
    problem

    Fence it

    Age
    11 to 14
    Challenge level
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    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

  • Beelines
    problem

    Beelines

    Age
    14 to 16
    Challenge level
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    Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

  • Simply Graphs
    problem

    Simply graphs

    Age
    16 to 18
    Challenge level
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    Look for the common features in these graphs. Which graphs belong together?
  • Olympic Turns
    problem

    Olympic turns

    Age
    7 to 11
    Challenge level
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    This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

  • Now and Then
    problem

    Now and then

    Age
    7 to 11
    Challenge level
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    Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?