Being collaborative

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

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?

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?