Being resilient

  • 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?

  • Vector walk
    problem
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    Vector Walk

    Age
    14 to 18
    Challenge level
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    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Exploring cubic functions
    problem
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    Exploring Cubic Functions

    Age
    14 to 18
    Challenge level
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    Quadratic graphs are very familiar, but what patterns can you explore with cubics?

  • Back fitter
    problem
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    Back Fitter

    Age
    14 to 18
    Challenge level
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    10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

  • Kite in a Square
    problem
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    Kite in a Square

    Age
    14 to 18
    Challenge level
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    Can you make sense of the three methods to work out what fraction of the total area is shaded?

  • Curve fitter
    problem
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    Curve Fitter

    Age
    14 to 18
    Challenge level
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    This problem challenges you to find cubic equations which satisfy different conditions.

  • 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.