Several graphs of the sort occurring commonly in biology are given. How many processes can you map to each graph?

Can you construct a cubic equation with a certain distance between its turning points?

Match the charts of these functions to the charts of their integrals.

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?

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.