Visualising and representing

  • Bike Shop
    problem

    Bike shop

    Age
    14 to 16
    Challenge level
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    If I walk to the bike shop, but then cycle back, what is my average speed?
  • 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?

  • Starting Fibonacci
    problem

    Starting Fibonacci

    Age
    11 to 14
    Challenge level
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    What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?

  • Summing geometric progressions
    problem

    Summing geometric progressions

    Age
    14 to 18
    Challenge level
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    Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

  • Kite in a Square
    problem

    Kite in a square

    Age
    14 to 18
    Challenge level
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    Can you make sense of the three methods to work out what fraction of the total area is shaded?

  • Doing and undoing
    problem

    Doing and undoing

    Age
    5 to 11
    Challenge level
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    An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

  • Hyperbolic thinking
    problem

    Hyperbolic thinking

    Age
    16 to 18
    Challenge level
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    Explore the properties of these two fascinating functions using trigonometry as a guide.
  • Constructing Triangles
    problem

    Constructing triangles

    Age
    11 to 14
    Challenge level
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    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Snail One Hundred
    game
    Favourite

    Snail one hundred

    Age
    5 to 7
    Challenge level
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    In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

  • Let us divide!
    problem

    Let us divide!

    Age
    7 to 11
    Challenge level
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    Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?