Being resilient

  • Harmonic Triangle
    problem
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    Harmonic Triangle

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you see how to build a harmonic triangle? Can you work out the next two rows?

  • Mixing More Paints
    problem
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    Mixing More Paints

    Age
    14 to 16
    Challenge level
    3 out of 3

    Can you find an efficent way to mix paints in any ratio?

  • LCM Sudoku
    problem
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    LCM Sudoku

    Age
    14 to 16
    Challenge level
    3 out of 3

    Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

  • Partly Circles
    problem
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    Partly Circles

    Age
    14 to 16
    Challenge level
    3 out of 3

    What is the same and what is different about these circle questions? What connections can you make?

  • Fit for photocopying
    problem
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    Fit for Photocopying

    Age
    14 to 16
    Challenge level
    3 out of 3

    Explore the relationships between different paper sizes.

  • Mega Quadratic Equations
    problem
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    Mega Quadratic Equations

    Age
    14 to 18
    Challenge level
    1 out of 3

    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
    1 out of 3

    Starting with two basic vector steps, which destinations can you reach on a vector walk?

  • Trapezium made of wooden tangram pieces, including a square and a parallelogram.
    problem
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    Quad in Quad

    Age
    14 to 18
    Challenge level
    2 out of 3

    Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

  • Exploring cubic functions
    problem
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    Exploring Cubic Functions

    Age
    14 to 18
    Challenge level
    2 out of 3

    Quadratic graphs are very familiar, but what patterns can you explore with cubics?

  • 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.