Visualising and representing

  • The Farmers' Field Boundary
    problem

    The farmers' field boundary

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

  • What numbers can we make now?
    problem

    What numbers can we make now?

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

  • Khun Phaen Escapes to Freedom
    game

    Khun Phaen escapes to freedom

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

  • Triangles to Tetrahedra
    problem

    Triangles to tetrahedra

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

  • Cuboids
    problem

    Cuboids

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Efficient cutting
    problem

    Efficient cutting

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • Up and across
    problem

    Up and across

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Cola can
    problem

    Cola can

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

  • The Triangle Game
    game

    The triangle game

    Age
    11 to 16
    Challenge level
    filled star empty star empty star
    Can you discover whether this is a fair game?