Angles in polygons

  • Isosceles Seven
    problem

    Isosceles seven

    Age
    14 to 16
    Challenge level
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    Is it possible to find the angles in this rather special isosceles triangle?

  • Diagonally Square
    problem

    Diagonally square

    Age
    7 to 11
    Challenge level
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    Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

  • Data Duos
    problem

    Data duos

    Age
    7 to 11
    Challenge level
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    Can you match the Venn diagram with the Carroll diagram that shows the same information?
  • Possible Pairs
    problem

    Possible pairs

    Age
    7 to 11
    Challenge level
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    In this game, you turn over two cards and try to draw a triangle which has both properties.

  • Triangle or No Triangle?
    problem

    Triangle or no triangle?

    Age
    5 to 7
    Challenge level
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    Here is a selection of different shapes. Can you work out which ones are triangles, and why?

  • Name That Triangle!
    problem

    Name that triangle!

    Age
    7 to 11
    Challenge level
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    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • Polygon Rings
    problem

    Polygon rings

    Age
    11 to 14
    Challenge level
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    Join pentagons together edge to edge. Will they form a ring?

  • 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?
  • Square Triangle
    problem

    Square triangle

    Age
    11 to 14
    Challenge level
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    How many triangles have all three angles perfect squares (in degrees)?
  • Round a hexagon
    problem

    Round a hexagon

    Age
    7 to 11
    Challenge level
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    This problem shows that the external angles of an irregular hexagon add to a circle.