Angles in polygons

  • 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.

  • 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

    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?

  • 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.

  • 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?
  • 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?

  • Timber!
    problem

    Timber!

    Age
    7 to 11
    Challenge level
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    How can the school caretaker be sure that the tree would miss the school buildings if it fell?
  • Fred the Class Robot
    problem

    Fred the class robot

    Age
    7 to 11
    Challenge level
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    Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?