Angles - points, lines and parallel lines

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?
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?
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?
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.
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?
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Angle Measurement: An Opportunity for Equity

Suggestions for worthwhile mathematical activity on the subject of angle measurement for all pupils.
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Interacting With the Geometry of the Circle

Jennifer Piggott and Charlie Gilderdale describe a free interactive circular geoboard environment that can lead learners to pose mathematical questions.
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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!
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Making Maths: Equilateral Triangle Folding

Make an equilateral triangle by folding paper and use it to make patterns of your own.
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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.