Working systematically

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Build series for the sine and cosine functions by adding one term at a time, alternately making the approximation too big then too small but getting ever closer.

Can you hang weights in the right place to make the the number balance balanced?

Here are two games you can play. Which offers the better chance of winning?

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Can you work out the fraction of the original triangle that is covered by the inner triangle?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?