Exploring and noticing

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

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

Can you work out how to produce different shades of pink paint?

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

Can you describe this route to infinity? Where will the arrows take you next?

Take a look at the video and try to find a sequence of moves that will untangle the ropes.

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

With access to weather station data, what interesting questions can you investigate?

Play around with sets of five numbers and see what you can discover about different types of average...

Play around with the Fibonacci sequence and discover some surprising results!