Angles - points, lines and parallel lines

  • 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.
  • Square World
    problem

    Square World

    Age
    16 to 18
    Challenge level
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    P is a point inside a square ABCD such that PA= 1, PB = 2 and PC = 3. How big is angle APB ?
  • Isosceles Meld
    problem

    Isosceles Meld

    Age
    11 to 14
    Challenge level
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    Weekly Problem 9 - 2012
    What is the angle QPT in this diagram?
  • Octa-flower
    problem
    Favourite

    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?
  • Angular Reflection
    problem

    Angular Reflection

    Age
    11 to 14
    Challenge level
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    Weekly Problem 28 - 2013
    Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?
  • Pegboard Quads
    problem

    Pegboard Quads

    Age
    14 to 16
    Challenge level
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    Make different quadrilaterals on a nine-point pegboard, and work out their angles. What do you notice?