Explaining, convincing and proving

  • 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
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    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?

  • Growing Garlic
    problem
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    Growing Garlic

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

    Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

  • Strike it out
    problem
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    Strike It Out

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

    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • Largest Even
    problem
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    Largest Even

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

    How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?