Explaining, convincing and proving

  • Chain of Changes
    problem
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    Chain of Changes

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

  • Skeleton Shapes
    problem
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    Skeleton Shapes

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

  • Halving
    problem
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    Halving

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    These pictures show squares split into halves. Can you find other ways?

  • Ring a Ring of Numbers
    problem
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    Ring a Ring of Numbers

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

  • Wallpaper
    problem
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    Wallpaper

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

  • Pairs of legs
    problem
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    Pairs of Legs

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    How many legs do each of these creatures have? How many pairs is that?

  • The Tall Tower
    problem
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    The Tall Tower

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

  • More Numbers in the Ring
    problem
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    More Numbers in the Ring

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

  • Always, Sometimes or Never?
    problem
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    Always, Sometimes or Never?

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

    Are these statements relating to odd and even numbers always true, sometimes true or never true?

  • Break it up!
    problem
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    Break It Up!

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

    In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?