Visualising and representing

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

Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

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

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

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

Is there a temperature at which Celsius and Fahrenheit readings are the same?

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

The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

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