Explaining, convincing and proving

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

    Age
    5 to 11
    Challenge level
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    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
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    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
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    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
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    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
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    How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

  • Dicey Addition
    problem
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    Dicey addition

    Age
    5 to 11
    Challenge level
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    In these addition games, you'll need to think strategically to get closest to the target.

  • Discuss and Choose
    problem
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    Discuss and choose

    Age
    5 to 11
    Challenge level
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    This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

  • Order, Order!
    problem
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    Order, order!

    Age
    5 to 11
    Challenge level
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    Can you place these quantities in order from smallest to largest?

  • Digit Addition
    problem
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    Digit addition

    Age
    5 to 11
    Challenge level
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    Try out this number trick. What happens with different starting numbers? What do you notice?

  • Sweetie Box
    problem

    Sweetie box

    Age
    5 to 11
    Challenge level
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    Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?