Pupils explore two distinct iterative processes. In the first, they repeatedly multiply a number's digits together to uncover structural traps, and in the second, they must deduce the bizarre logic governing Conway's famous 'Look and Say' sequence.

No prior knowledge necessary.

Print off one copy of the attached 'pupil sheet' for each learner, and one copy of the attached 'teacher sheet' for yourself.

It would be sensible to familiarise your self with the processes involved beforehand, and to go through it once if you consider it to be necessary.

There is a prediction question in the second investigation. You may want to have a little competition - whose guess is closest to the correct answer?