Visualising and representing

  • Open Boxes
    problem

    Open Boxes

    Age
    7 to 11
    Challenge level

    Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

  • Regular Rings 1
    problem

    Regular Rings 1

    Age
    7 to 11
    Challenge level

    Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

  • Regular Rings 2
    problem

    Regular Rings 2

    Age
    7 to 11
    Challenge level

    What shape is made when you fold using this crease pattern? Can you make a ring design?

  • Penta Play
    game

    Penta Play

    Age
    7 to 11
    Challenge level

    A shape and space game for 2, 3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board.

  • A stack of four small cardboard boxes.
    problem

    Little Boxes

    Age
    7 to 11
    Challenge level

    How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

  • Hexagon Transformations
    problem

    Hexagon Transformations

    Age
    7 to 11
    Challenge level

    Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

  • Face Painting
    problem

    Face Painting

    Age
    7 to 11
    Challenge level
    You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.
  • Neighbours
    problem

    Neighbours

    Age
    7 to 11
    Challenge level

    In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

  • Dodecamagic
    problem

    Dodecamagic

    Age
    7 to 11
    Challenge level

    Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

  • Child's Play
    problem

    Child's Play

    Age
    7 to 11
    Challenge level

    A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?

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