Angles - points, lines and parallel lines

problem
Take the right angle

Age

7 to 11

Challenge level

How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
problem
Sweeping hands

Age

7 to 11

Challenge level

Use your knowledge of angles to work out how many degrees the hour and minute hands of a clock travel through in different amounts of time.
problem
Overlapping squares

Age

7 to 11

Challenge level

Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.
problem
How safe are you?

Age

7 to 11

Challenge level

How much do you have to turn these dials by in order to unlock the safes?
problem
Six places to visit

Age

7 to 11

Challenge level

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?
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
National flags

Age

7 to 11

Challenge level

This problem explores the shapes and symmetries in some national flags.
problem
Dotty relationship

Age

7 to 11

Challenge level

Can you draw perpendicular lines without using a protractor? Investigate how this is possible.
problem
Clock hands

Age

7 to 11

Challenge level

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
problem
Watch the clock

Age

7 to 11

Challenge level

During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?