Visualising and representing

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?

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...

What's special about the area of quadrilaterals drawn in a square?

Can you minimise the amount of wood needed to build the roof of my garden shed?

Just because a problem is impossible doesn't mean it's difficult...