Visualising and representing

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

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

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...