Being resourceful

  • Difference Sudoku
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    Difference Sudoku

    Age
    14 to 16
    Challenge level
    3 out of 3

    Use the differences to find the solution to this Sudoku.

  • Parabolic Patterns
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    Parabolic Patterns

    Age
    14 to 18
    Challenge level
    1 out of 3

    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
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    Which Spinners?

    Age
    14 to 18
    Challenge level
    1 out of 3

    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
    1 out of 3

    Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

  • Perception versus reality
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    Perception Versus Reality

    Age
    14 to 18
    Challenge level
    1 out of 3

    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
    2 out of 3

    Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

  • The Root of the Problem
    problem
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    The Root of the Problem

    Age
    14 to 18
    Challenge level
    2 out of 3

    Find the sum of this series of surds.

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

    Age
    14 to 18
    Challenge level
    2 out of 3

    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
    2 out of 3

    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
    1 out of 3

    Can you find the distance between the two trees using the information given?