Explaining, convincing and proving

  • Less is More
    problem
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    Less Is More

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

    Use your knowledge of place value to try to win this game. How will you maximise your score?

  • Compare the Calculations
    problem
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    Compare the Calculations

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

    Can you put these four calculations into order of difficulty? How did you decide?

  • Guess What?
    problem
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    Guess What?

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

    Can you find out which 3D shape your partner has chosen before they work out your shape?

  • An Easy Way to Multiply by 10?
    problem
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    An Easy Way to Multiply by 10?

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

    Do you agree with Badger's statements? Is Badger's reasoning 'watertight'? Why or why not?

  • Diagonally Square
    problem
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    Diagonally Square

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

    Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

  • Digit Discovery
    problem
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    Digit Discovery

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

    Here is an interesting property about two sets of digits. Can you work out what the digits might be?

  • problem
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    Reach 100

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

    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • Stringy Quads
    problem
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    Stringy Quads

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

    This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

  • Route Product
    problem
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    Route Product

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

    Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

  • Overlaps
    problem
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    Overlaps

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

    What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.