Nets

  • Thinking 3D
    article

    Thinking 3D

    How can we as teachers begin to introduce 3D ideas to young children? Where do they start? How can we lay the foundations for a later enthusiasm for working in three dimensions?

  • All is Number
    article

    All is number

    Read all about Pythagoras' mathematical discoveries in this article written for students.

  • Net Result
    problem

    Net result

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    The net shown here is cut out and folded to form a cube. Which face is then opposite the face marked X?
  • Air Nets
    problem

    Air nets

    Age
    7 to 18
    Challenge level
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    Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
  • Placeholder: several colourful numbers
    problem

    Chopped dice

    Age
    14 to 16
    Challenge level
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    Can you make a new type of fair die with 14 faces by shaving the corners off a cube?
  • Rhombicubocts
    problem

    Rhombicubocts

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?
  • Cutting a Cube
    problem

    Cutting a cube

    Age
    11 to 14
    Challenge level
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    A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
  • Cubic Conundrum
    problem

    Cubic conundrum

    Age
    7 to 16
    Challenge level
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    Which of the following cubes can be made from these nets?
  • Magic Octahedron
    problem

    Magic octahedron

    Age
    11 to 14
    Challenge level
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    Weekly Problem 20 - 2010
    You have already used Magic Squares, now meet a Magic Octahedron...
  • Three gift boxes wrapped in brown paper with ribbons.
    problem

    More Christmas boxes

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

    What size square should you cut out of each corner of a 10 x 10 grid to make the box that would hold the greatest number of cubes?