Angles - points, lines and parallel lines

  • Small pepper seedlings in turquoise pots.
    problem

    Symmetric Angles

    Age
    14 to 16
    Challenge level

    This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

  • A Problem of time
    problem

    A Problem of Time

    Age
    14 to 16
    Challenge level

    Consider a watch face which has identical hands and identical marks for the hours. It is opposite to a mirror. When is the time as read direct and in the mirror exactly the same between 6 and 7?

  • Similarly so
    problem

    Similarly So

    Age
    14 to 16
    Challenge level

    ABCD is a square. P is the midpoint of AB and is joined to C. A line from D perpendicular to PC meets the line at the point Q. Prove AQ = AD.

  • Orbiting Billiard Balls
    problem

    Orbiting Billiard Balls

    Age
    14 to 16
    Challenge level

    What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?

  • Watch those Wheels
    page

    Watch Those Wheels

    Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!
  • Making Maths: Clinometer
    page

    Making Maths: Clinometer

    You can use a clinometer to measure the height of tall things that you can't possibly reach to the top of, Make a clinometer and use it to help you estimate the heights of tall objects.
  • Using GeoGebra
    article

    Using GeoGebra

    Never used GeoGebra before? This article for complete beginners will help you to get started with this free dynamic geometry software.

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