Being collaborative

  • Strike it out
    problem

    Strike it out

    Age
    5 to 11
    Challenge level
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    Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

  • Vector walk
    problem

    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?

  • Sticky Numbers
    problem

    Sticky numbers

    Age
    11 to 14
    Challenge level
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    Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

  • Coded hundred square
    problem

    Coded hundred square

    Age
    7 to 11
    Challenge level
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    This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

  • Calculus Countdown
    problem

    Calculus countdown

    Age
    16 to 18
    Challenge level
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    Can you hit the target functions using a set of input functions and a little calculus and algebra?

  • Surprising Transformations
    problem

    Surprising transformations

    Age
    14 to 16
    Challenge level
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    I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

  • Keep it simple
    problem

    Keep it simple

    Age
    11 to 14
    Challenge level
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    Can all unit fractions be written as the sum of two unit fractions?

  • Translating Lines
    problem

    Translating lines

    Age
    11 to 14
    Challenge level
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    Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

  • circles in quadrilaterals
    problem

    Circles in quadrilaterals

    Age
    14 to 16
    Challenge level
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    Explore when it is possible to construct a circle which just touches all four sides of a quadrilateral.

  • Back fitter
    problem

    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?