Year P16 Being resourceful

  • Thinking Mathematically - Short Problems
    problem

    Solve me!

    Age
    16 to 18
    Challenge level
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    Can you use numerical methods to solve this equation to 1 decimal place?

  • Agile Algebra
    problem

    Agile algebra

    Age
    16 to 18
    Challenge level
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    Observe symmetries and engage the power of substitution to solve complicated equations.

  • Thinking Mathematically - Short Problems
    problem

    AP train

    Age
    16 to 18
    Challenge level
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    An arithmetic progression is shifted and shortened, but its sum remains the same...

  • Placeholder: several colourful numbers
    problem

    Speedo

    Age
    16 to 18
    Challenge level
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    Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.

  • To log or not to log?
    problem

    To log or not to log?

    Age
    16 to 18
    Challenge level
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    Which of these logarithmic challenges can you solve?

  • Giants
    problem

    Giants

    Age
    16 to 18
    Challenge level
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    Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

  • A Very Shiny Nose?
    problem

    A very shiny nose?

    Age
    16 to 18
    Challenge level
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    This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.

  • To swim or to run?
    problem

    To swim or to run?

    Age
    16 to 18
    Challenge level
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    The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?

  • Making Waves
    problem

    Making waves

    Age
    16 to 18
    Challenge level
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    Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?