Describing patterns and sequences

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Explore one of these five pictures.

MatildaMatildaMatil... What is the 1000th letter?

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Have a go at this 3D extension to the Pebbles problem.

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

This task requires learners to explain and help others, asking and answering questions.

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?