Year 9 Being curious

  • Two's company
    problem

    Two's company

    Age
    11 to 14
    Challenge level
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    Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
  • Cosy corner
    problem

    Cosy corner

    Age
    11 to 14
    Challenge level
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    Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
  • Opposite vertices
    problem

    Opposite vertices

    Age
    11 to 14
    Challenge level
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    Can you recreate squares and rhombuses if you are only given a side or a diagonal?

  • What numbers can we make now?
    problem

    What numbers can we make now?

    Age
    11 to 14
    Challenge level
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    Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

  • Reversals
    problem

    Reversals

    Age
    11 to 14
    Challenge level
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    Where should you start, if you want to finish back where you started?
  • 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?

  • 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?

  • What's it worth?
    problem

    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?

  • Semi-regular Tessellations
    problem

    Semi-regular tessellations

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

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

  • Marbles in a box
    problem

    Marbles in a box

    Age
    11 to 16
    Challenge level
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    How many winning lines can you make in a three-dimensional version of noughts and crosses?