Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
How many right angles can you make using two sticks?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Have you ever noticed the patterns in car wheel trims? These
questions will make you look at car wheels in a different way!
How good are you at estimating angles?
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.
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
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
Explore patterns based on a rhombus. How can you enlarge the
pattern - or explode it?
Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be. . . .
Can you describe the journey to each of the six places on these
maps? How would you turn at each junction?
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
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?
A metal puzzle which led to some mathematical questions.
How much do you have to turn these dials by in order to unlock the
An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
Pythagoras of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. Find out about the important developments he made in mathematics, astronomy, and the theory of music.
Jennifer Piggott and Charlie Gilderdale describe a free interactive
circular geoboard environment that can lead learners to pose
This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.