Spheres, cylinders and cones

  • Cylinder Cutting
    problem

    Cylinder cutting

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
  • Which solid?
    problem

    Which solid?

    Age
    7 to 16
    Challenge level
    filled star empty star empty star
    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
  • 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.

  • 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?

  • Yellow drawstring bag.
    problem

    Gym bag

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

    Can Jo make a gym bag for her trainers from the piece of fabric she has?

  • Three tennis balls on a clay surface.
    problem

    Three balls

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

    Do points P and Q lie inside, on, or outside this circle?

  • Tin Tight
    problem

    Tin tight

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

    What's the most efficient proportion for a 1 litre tin of paint?

  • problem

    Immersion

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

    Various solids are lowered into a beaker of water. How does the water level rise in each case?

  • Fill Me Up Too
    problem

    Fill me up too

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

    In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?