Symmetry

  • Octa-flower
    problem
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    Octa-Flower

    Age
    16 to 18
    Challenge level
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    Join some regular octahedra, face touching face and one vertex of each meeting at a point. How many octahedra can you fit around this point?
  • Mean Geometrically
    problem
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    Mean Geometrically

    Age
    16 to 18
    Challenge level
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    A and B are two points on a circle centre O. Tangents at A and B cut at C. CO cuts the circle at D. What is the relationship between areas of ADBO, ABO and ACBO?
  • Exploded Squares
    problem
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    Exploded Squares

    Age
    5 to 7
    Challenge level
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    Can you create symmetrical designs by cutting a square into strips?

  • problem
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    Poly Plug Pattern

    Age
    5 to 7
    Challenge level
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    Create a pattern on the small grid. How could you extend your pattern on the larger grid?

  • Colouring Triangles
    problem
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    Colouring Triangles

    Age
    5 to 7
    Challenge level
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    Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

  • A Cartesian Puzzle
    problem
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    A Cartesian Puzzle

    Age
    7 to 11
    Challenge level
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    Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

  • Coordinate Challenge
    problem
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    Coordinate Challenge

    Age
    7 to 11
    Challenge level
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    Use the clues about the symmetrical properties of these letters to place them on the grid.

  • National Flags
    problem
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    National Flags

    Age
    7 to 11
    Challenge level
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    This problem explores the shapes and symmetries in some national flags.

  • Shape Draw
    problem
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    Shape Draw

    Age
    7 to 11
    Challenge level
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    Use the information on these cards to draw the shape that is being described.