Angles - points, lines and parallel lines

problem
Olympic turns

Age

7 to 11

Challenge level

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
problem
National flags

Age

7 to 11

Challenge level

This problem explores the shapes and symmetries in some national flags.
problem
Cylinder cutting

Age

7 to 11

Challenge level

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
problem
Which solids can we make?

Age

11 to 14

Challenge level

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
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?
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?
problem
What shape?

Age

7 to 14

Challenge level

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
problem
The numbers give the design

Age

7 to 11

Challenge level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
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
Making sixty

Age

14 to 16

Challenge level

Why does this fold create an angle of sixty degrees?