Visualising and representing

  • Hollow Squares
    problem

    Hollow squares

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

    Which armies can be arranged in hollow square fighting formations?

  • 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.

  • Impossibilities
    problem

    Impossibilities

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

    Just because a problem is impossible doesn't mean it's difficult...

  • Garden Shed
    problem

    Garden shed

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

    Can you minimise the amount of wood needed to build the roof of my garden shed?

  • Perimeter Challenge
    problem

    Perimeter challenge

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

    Can you deduce the perimeters of the shapes from the information given?

  • Add to 200
    problem

    Add to 200

    Age
    11 to 14
    Challenge level
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    By selecting digits for an addition grid, what targets can you make?

  • Quadrilaterals in a Square
    problem

    Quadrilaterals in a square

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

    What's special about the area of quadrilaterals drawn in a square?

  • Triangles in a Square
    problem

    Triangles in a square

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

    What are the possible areas of triangles drawn in a square?

  • Seeing Squares for Two
    game

    Seeing squares for two

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
  • Perception versus reality
    problem

    Perception versus reality

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

    Infographics are a powerful way of communicating statistical information. Can you come up with your own?