Visualising and representing

  • How Many Pieces?
    problem

    How Many Pieces?

    Age
    5 to 7
    Challenge level
    1 out of 3

    How many loops of string have been used to make these patterns?

  • Two Spinners
    problem

    Two Spinners

    Age
    5 to 7
    Challenge level
    1 out of 3

    What two-digit numbers can you make with these two dice? What can't you make?

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

    Teddy Bear Line-Up

    Age
    5 to 7
    Challenge level
    2 out of 3

    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
    2 out of 3

    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
    2 out of 3

    Move four sticks so there are exactly four triangles.

  • Routes 1 and 5
    problem

    Routes 1 and 5

    Age
    5 to 7
    Challenge level
    2 out of 3

    Find your way through the grid starting at 2 and following these operations. What number do you end on?

  • Tessellating Capitals
    problem

    Tessellating Capitals

    Age
    5 to 7
    Challenge level
    2 out of 3

    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
    2 out of 3

    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
    2 out of 3

    How many pieces of string have been used in these patterns? Can you describe how you know?

  • Tricky Triangles
    problem

    Tricky Triangles

    Age
    5 to 7
    Challenge level
    3 out of 3

    Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?