Visualising and representing

  • Yellow, green, purple and blue plastic bears in a line.
    problem

    Teddy Bear Line-Up

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

    What is the least number of moves you can take to rearrange the bears so that no bear is next to a bear of the same colour?

  • Change Around
    problem

    Change Around

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Move just three of the circles so that the triangle faces in the opposite direction.
  • Six to Four
    problem

    Six to Four

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Move four sticks so there are exactly four triangles.
  • Routes 1 and 5
    problem

    Routes 1 and 5

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Find your way through the grid starting at 2 and following these operations. What number do you end on?
  • Eggs in Baskets
    problem
    Favourite

    Eggs in Baskets

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

    There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

  • 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?
  • Olympic rings
    problem
    Favourite

    Olympic Rings

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

    Can you design your own version of the Olympic rings, using interlocking squares instead of circles?

  • problem
    Favourite

    The Amazing Splitting Plant

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

    Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?