Explaining, convincing and proving

  • Would You Rather?
    problem
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    Would You Rather?

    Age
    7 to 11
    Challenge level
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    Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

  • A yellow bag containing some threes.
    problem
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    Play to 37

    Age
    7 to 11
    Challenge level
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    In this game the winner is the first to make the total 37. Is this a fair game?

  • Name That Triangle!
    problem
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    Name That Triangle!

    Age
    7 to 11
    Challenge level
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    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • Less is More
    problem
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    Less Is More

    Age
    7 to 11
    Challenge level
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    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
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    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
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    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
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    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
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    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
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    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
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    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.