Being collaborative

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

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

Which countries have the most naturally athletic populations?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

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