Visualising and representing

  • Loch Ness
    problem
    Favourite

    Loch Ness

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    Draw graphs of the sine and modulus functions and explain the humps.

  • Differential equation matcher
    problem
    Favourite

    Differential Equation Matcher

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    Match the descriptions of physical processes to these differential equations.

  • Maths Shop Window
    problem

    Maths Shop Window

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Make a functional window display which will both satisfy the manager and make sense to the shoppers
  • Hyperbolic thinking
    problem

    Hyperbolic Thinking

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Explore the properties of these two fascinating functions using trigonometry as a guide.
  • Gosh Cosh
    problem

    Gosh Cosh

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.

  • Curvy Equation
    problem

    Curvy Equation

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    This problem asks you to use your curve sketching knowledge to find all the solutions to an equation.

  • Euler meets Schlegel
    problem

    Euler Meets Schlegel

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    Discover how networks can be used to prove Euler's Polyhedron formula.

  • To swim or to run?
    problem

    To Swim or to Run?

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    The famous film star Birkhoff Maclane wants to reach her refreshing drink. Should she run around the pool or swim across?

  • Folium of Descartes
    problem
    Favourite

    Folium of Descartes

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Investigate the family of graphs given by the equation x^3+y^3=3axy for different values of the constant a.

  • Ford Circles
    problem

    Ford Circles

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Can you find the link between these beautiful circle patterns and Farey Sequences?