Visualising and representing

  • 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.

  • Alquerque
    game

    Alquerque

    Age
    5 to 18

    This game for two, was played in ancient Egypt as far back as 1400 BC. The game was taken by the Moors to Spain, where it is mentioned in 13th century manuscripts, and the Spanish name Alquerque derives from the Arabic El- quirkat. Watch out for being 'huffed'.