Exponential and logarithmic functions

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

Explore the properties of these two fascinating functions using trigonometry as a guide.

This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

A short challenge concerning prime numbers.

Can you work out which processes are represented by the graphs?

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

How does the half-life of a drug affect the build up of medication in the body over time?