Year P16 Being resourceful

  • crossing the bridge
    problem
    Favourite

    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • Parabolic Patterns
    problem
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    Parabolic Patterns

    Age
    14 to 18
    Challenge level
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    The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.

  • Which spinners?
    problem
    Favourite

    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
    Favourite

    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
    Favourite

    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?

  • Iff
    problem
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    Iff

    Age
    14 to 18
    Challenge level
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    Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

  • Always Perfect
    problem
    Favourite

    Always Perfect

    Age
    14 to 18
    Challenge level
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    Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

  • Negative 3 to the power of negative 3.
    problem
    Favourite

    Negative Powers

    Age
    14 to 18
    Challenge level
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    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • All tangled up
    problem

    All Tangled Up

    Age
    14 to 18
    Challenge level
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    Can you tangle yourself up and reach any fraction?