Visualising and representing

  • Tessellating Capitals
    problem

    Tessellating Capitals

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Have you ever tried tessellating capital letters? Have a look at these examples and then try some for yourself.
  • Building with Cubes
    problem

    Building With Cubes

    Age
    5 to 7
    Challenge level
    filled star filled star empty star

    Try to picture these buildings of cubes in your head. Can you make them to check whether you had imagined them correctly?

  • How Many Pieces This Time?
    problem

    How Many Pieces This Time?

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    How many pieces of string have been used in these patterns? Can you describe how you know?
  • Start Cube Drilling
    problem

    Start Cube Drilling

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    Imagine a 3 by 3 by 3 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will have holes drilled through them?

  • Square Surprise
    problem

    Square Surprise

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Why do you think that the red player chose that particular dot in this game of Seeing Squares?
  • HexPentas
    problem

    HexPentas

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

    How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

  • 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?

  • Sweetie Box
    problem

    Sweetie Box

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

    Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?

  • An orange pumpkin sitting on a tree stump.
    game

    Pumpkin Patch

    Age
    5 to 18

    A game for two players based on a game from the Somali people of Africa. The first player to pick all the other's 'pumpkins' is the winner.

  • Seega
    game

    Seega

    Age
    5 to 18

    An ancient game for two from Egypt. You'll need twelve distinctive 'stones' each to play. You could chalk out the board on the ground - do ask permission first.