Visualising and representing

  • Seven Squares
    problem

    Seven squares

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

    Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

  • A blue patchwork quilt draped over a white sofa.
    problem

    Alison's quilt

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

    Nine squares are fitted together to form a rectangle. Can you find its dimensions?

  • Non-Transitive Dice
    problem

    Non-transitive dice

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

    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • Triathlon and Fitness
    problem

    Triathlon and fitness

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

    The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

  • Always a multiple?
    problem

    Always a multiple?

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

    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • 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?

  • 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?

  • 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...

  • Reversals
    problem

    Reversals

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

    Where should you start, if you want to finish back where you started?

  • Fibonacci Surprises
    problem

    Fibonacci surprises

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

    Play around with the Fibonacci sequence and discover some surprising results!