Visualising and representing

  • Number Pyramids
    problem

    Number pyramids

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

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Odds, Evens and More Evens
    problem

    Odds, evens and more evens

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

    Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

  • Track design
    problem

    Track design

    Age
    14 to 16
    Challenge level
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    Where should runners start the 200m race so that they have all run the same distance by the finish?

  • 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?

  • What's that graph?
    problem

    What's that graph?

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

    Can you work out which processes are represented by the graphs?

  • Alison's quilt
    problem

    Alison's quilt

    Age
    11 to 14
    Challenge level
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    Nine squares are fitted together to form a rectangle. Can you find its dimensions?
  • Fractions Rectangle
    problem

    Fractions rectangle

    Age
    11 to 14
    Challenge level
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    The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
  • 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?
  • Vector journeys
    problem

    Vector journeys

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

    Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

  • Fill Me Up
    problem

    Fill me up

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

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