What angle is needed for a ball to do a circuit of the billiard table and then pass through its original position?

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. . . .

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. . . .

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?

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

A metal puzzle which led to some mathematical questions.

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.

On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?

Measure the two angles. What do you notice?

Make a clinometer and use it to help you estimate the heights of tall objects.

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

Make an equilateral triangle by folding paper and use it to make patterns of your own.

Jennifer Piggott and Charlie Gilderdale describe a free interactive circular geoboard environment that can lead learners to pose mathematical questions.

Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?

Suggestions for worthwhile mathematical activity on the subject of angle measurement for all pupils.

Make five different quadrilaterals on a nine-point pegboard, without using the centre peg. Work out the angles in each quadrilateral you make. Now, what other relationships you can see?