Triangles

  • problem
    Favourite

    Rectangle Tangle

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

    The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

  • Transformations on a Pegboard
    problem
    Favourite

    Transformations on a Pegboard

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

    How would you move the bands on the pegboard to alter these shapes?

  • Nine-Pin Triangles
    problem
    Favourite

    Nine-pin Triangles

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

    How many different triangles can you make on a circular pegboard that has nine pegs?

  • Putting Two and Two Together
    problem

    Putting Two and Two Together

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
  • Triangle Relations
    problem

    Triangle Relations

    Age
    7 to 11
    Challenge level
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    What do these two triangles have in common? How are they related?
  • Three Triangles
    problem

    Three Triangles

    Age
    7 to 11
    Challenge level
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    What do you notice when you put three triangles together?
  • Name That Triangle!
    problem
    Favourite

    Name That Triangle!

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

    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • Possible Pairs
    problem

    Possible Pairs

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

    In this game, you turn over two cards and try to draw a triangle which has both properties.

  • Triangle in a Square
    problem

    Triangle in a Square

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?
  • Regular Rings 1
    problem

    Regular Rings 1

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