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