Being resourceful

  • 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
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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?

  • Perception versus reality
    problem
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    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?

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

  • Always Perfect
    problem
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    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.

  • Two Trees
    problem
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    Two Trees

    Age
    16 to 18
    Challenge level
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    Can you find the distance between the two trees using the information given?

  • Teams
    problem
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    Teams

    Age
    16 to 18
    Challenge level
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    Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

  • Equation Attack
    problem
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    Equation Attack

    Age
    16 to 18
    Challenge level
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    The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.