Explaining, convincing and proving

  • Far Horizon
    problem
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    Far Horizon

    Age
    14 to 16
    Challenge level
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    An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

  • Harmonic Triangle
    problem
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    Harmonic Triangle

    Age
    14 to 16
    Challenge level
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    Can you see how to build a harmonic triangle? Can you work out the next two rows?

  • LCM Sudoku
    problem
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    LCM Sudoku

    Age
    14 to 16
    Challenge level
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    Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

  • Partly Circles
    problem
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    Partly Circles

    Age
    14 to 16
    Challenge level
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    What is the same and what is different about these circle questions? What connections can you make?

  • Fit for photocopying
    problem
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    Fit for Photocopying

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

  • Difference Sudoku
    problem
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    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
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    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?

  • Iffy logic
    problem
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    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
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    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
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    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?