Working systematically

  • Cola can
    problem
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    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?

  • Coins
    problem

    Coins

    Age
    11 to 14
    Challenge level
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    A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

  • Which solids can we make?
    problem
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    Which solids can we make?

    Age
    11 to 14
    Challenge level
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    Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

  • What's it worth?
    problem
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    What's it worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • The Best Card Trick?
    problem

    The best card trick?

    Age
    11 to 16
    Challenge level
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    Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

  • Square It
    problem
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    Square it

    Age
    11 to 16
    Challenge level
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    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

  • Semi-regular Tessellations
    problem
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    Semi-regular tessellations

    Age
    11 to 16
    Challenge level
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    Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

  • Charlie's delightful machine
    problem
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    Charlie's delightful machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?