### Big, Bigger, Biggest

Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?

### Infinite Continued Fractions

In this article we are going to look at infinite continued fractions - continued fractions that do not terminate.

### Gosh Cosh

Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.

# Drug Stabiliser

##### Age 16 to 18 Challenge Level:
The maths for half-life of drugs is identical to that for radioactive decay.

Make a table of days against tablets and each day add up the remaining levels for all drugs taken thus far. Thus, on the $n$th day there will be the effect from $n$ tablets to add up. You should do this numerically.