Angles - points, lines and parallel lines

  • Small pepper seedlings in turquoise pots.
    problem

    Angle Hunt

    Age
    11 to 14
    Challenge level

    Weekly Problem 39 - 2010
    If you know three lengths and an angle in this diagram, can you find another angle by calculation?

  • Small pepper seedlings in turquoise pots.
    problem

    Outside the Nonagon

    Age
    11 to 14
    Challenge level

    Weekly Problem 44 - 2010
    Extend two of the sides of a nonagon to form an angle. How large is this acute angle?

  • Small pepper seedlings in turquoise pots.
    problem

    Six Minutes Past Eight

    Age
    11 to 14
    Challenge level

    Weekly Problem 45 - 2007
    What is the obtuse angle between the hands of a clock at 6 minutes past 8 o'clock?

  • Small pepper seedlings in turquoise pots.
    problem

    Hexapentagon

    Age
    11 to 14
    Challenge level

    Weekly Problem 53 - 2007
    The diagram shows a regular pentagon and regular hexagon which overlap. What is the value of x?

  • LOGO Challenge 7 - More Stars and Squares
    problem

    Logo Challenge 7 - More Stars and Squares

    Age
    11 to 16
    Challenge level

    Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.

  • A pointed metal arrowhead on the end of an arrow.
    problem

    Arrowhead

    Age
    14 to 16
    Challenge level

    The points P, Q, R and S are the midpoints of the edges of a non-convex quadrilateral.What do you notice about the quadrilateral PQRS and its area?

  • Hand Swap
    problem

    Hand Swap

    Age
    14 to 16
    Challenge level

    My train left London between 6 a.m. and 7 a.m. and arrived in Paris between 9 a.m. and 10 a.m. At the start and end of the journey the hands on my watch were in exactly the same positions but the minute hand and hour hand had swopped places. What time did the train leave London and how long did the journey take?

  • Parallel Universe
    problem

    Parallel Universe

    Age
    14 to 16
    Challenge level

    An equilateral triangle is constructed on BC. A line QD is drawn, where Q is the midpoint of AC. Prove that AB // QD.

  • Small pepper seedlings in turquoise pots.
    problem

    Angle to Chord

    Age
    14 to 16
    Challenge level

    Weekly Problem 23 - 2008
    A triangle has been drawn inside this circle. Can you find the length of the chord it forms?

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