Visualising and representing

  • Number Pyramids
    problem
    Favourite

    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?

  • Sieve of Eratosthenes
    problem
    Favourite

    Sieve of Eratosthenes

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

    Follow this recipe for sieving numbers and see what interesting patterns emerge.

  • Olympic Records
    problem
    Favourite

    Olympic Records

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

    Can you deduce which Olympic athletics events are represented by the graphs?

  • Summing Consecutive Numbers
    problem
    Favourite

    Summing Consecutive Numbers

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

    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

  • Constructing Triangles
    problem
    Favourite

    Constructing Triangles

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

    Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

  • Fence it
    problem
    Favourite

    Fence It

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

    If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

  • Up, down, flying around
    game
    Favourite

    Up, Down, Flying Around

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

    Play this game to learn about adding and subtracting positive and negative numbers

  • Triangles in a Square
    problem
    Favourite

    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?

  • Add to 200
    problem
    Favourite

    Add to 200

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

    By selecting digits for an addition grid, what targets can you make?

  • Perimeter Challenge
    problem
    Favourite

    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?