Angles - points, lines and parallel lines

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.
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?
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?
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

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?
article
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.