Being resourceful

  • A Chance to Win?
    problem

    A chance to win?

    Age
    11 to 14
    Challenge level
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    Imagine you were given the chance to win some money... and imagine you had nothing to lose...

  • Which solids can we make?
    problem

    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?

  • Square It
    problem

    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.

  • Arithmagons
    problem

    Arithmagons

    Age
    11 to 16
    Challenge level
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    Can you find the values at the vertices when you know the values on the edges?

  • Semi-regular Tessellations
    problem

    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

    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?

  • Statistical shorts
    problem

    Statistical shorts

    Age
    11 to 16
    Challenge level
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    Can you decide whether these short statistical statements are always, sometimes or never true?

  • Multiple Surprises
    problem

    Multiple surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • Countdown fractions
    problem

    Countdown fractions

    Age
    11 to 16
    Challenge level
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    Here is a chance to play a fractions version of the classic Countdown Game.