Visualising and representing

  • Route to infinity
    problem
    Favourite

    Route to Infinity

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you describe this route to infinity? Where will the arrows take you next?

  • Triangle Numbers
    problem
    Favourite

    Triangle Numbers

    Age
    11 to 14
    Challenge level
    2 out of 3

    Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

  • Maths filler
    problem
    Favourite

    Maths Filler

    Age
    11 to 14
    Challenge level
    2 out of 3

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

  • Christmas chocolates
    problem
    Favourite

    Christmas Chocolates

    Age
    11 to 14
    Challenge level
    2 out of 3

    How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

  • The Tower of Hanoi - three wooden poles, with several coloured rings of decreasing sizes on the middle pole.
    problem
    Favourite

    Tower of Hanoi

    Age
    11 to 14
    Challenge level
    2 out of 3

    The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

  • Fill Me Up
    problem
    Favourite

    Fill Me Up

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you sketch graphs to show how the height of water changes in different containers as they are filled?

  • Seven Squares
    problem
    Favourite

    Seven Squares

    Age
    11 to 14
    Challenge level
    2 out of 3

    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
    Favourite

    Alison's Quilt

    Age
    11 to 14
    Challenge level
    2 out of 3

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

  • Temperature
    problem
    Favourite

    Temperature

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there a temperature at which Celsius and Fahrenheit readings are the same?

  • Non-Transitive Dice
    problem
    Favourite

    Non-Transitive Dice

    Age
    11 to 14
    Challenge level
    2 out of 3

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