Explaining, convincing and proving

  • Fit for photocopying
    problem

    Fit for photocopying

    Age
    14 to 16
    Challenge level
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    Explore the relationships between different paper sizes.

  • Difference Sudoku
    problem

    Difference Sudoku

    Age
    14 to 16
    Challenge level
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    Use the differences to find the solution to this Sudoku.

  • Mega Quadratic Equations
    problem

    Mega quadratic equations

    Age
    14 to 18
    Challenge level
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    What do you get when you raise a quadratic to the power of a quadratic?

  • Dalmatians
    problem

    Dalmatians

    Age
    14 to 18
    Challenge level
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    Investigate the sequences obtained by starting with any positive 2 digit number (10a+b) and repeatedly using the rule 10a+b maps to 10b-a to get the next number in the sequence.
  • Road maker
    problem

    Road maker

    Age
    14 to 18
    Challenge level
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    Which of these roads will satisfy a Munchkin builder?
  • Iffy logic
    problem

    Iffy logic

    Age
    14 to 18
    Challenge level
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    Can you rearrange the cards to make a series of correct mathematical statements?

  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
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    Can you work out which spinners were used to generate the frequency charts?

  • Summing geometric progressions
    problem

    Summing geometric progressions

    Age
    14 to 18
    Challenge level
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    Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

  • Perception versus reality
    problem

    Perception versus reality

    Age
    14 to 18
    Challenge level
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    Infographics are a powerful way of communicating statistical information. Can you come up with your own?

  • IFFY triangles
    problem

    IFFY triangles

    Age
    14 to 18
    Challenge level
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    Can you prove these triangle theorems both ways?