Visualising and representing

  • Speeding boats
    problem

    Speeding boats

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

    Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?

  • Curve match
    problem

    Curve match

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

    Which curve is which, and how would you plan a route to pass between them?

  • What is the question?
    problem

    What is the question?

    Age
    11 to 16
    Challenge level
    filled star empty star empty star
    These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?
  • Reflecting Lines
    problem

    Reflecting lines

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

    Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

  • Building Gnomons
    problem

    Building gnomons

    Age
    14 to 16
    Challenge level
    filled star empty star empty star
    Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.
  • Curvy areas
    problem

    Curvy areas

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

    Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

  • problem

    At right angles

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

    Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

  • 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?

  • Maths filler
    problem

    Maths filler

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

    Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?