### Rationals Between...

What fractions can you find between the square roots of 65 and 67?

### There's a Limit

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

### Tweedle Dum and Tweedle Dee

Two brothers were left some money, amounting to an exact number of pounds, to divide between them. DEE undertook the division. "But your heap is larger than mine!" cried DUM...

# More Twisting and Turning

##### Age 11 to 16Challenge Level

Take another look at the video in Twisting and Turning.

Can you spot the strategy they used to get back to $0$?
Here is an interactive tool you can use to try out some strategies.