All topics that are taught in the Single Mathematics A level can be tested in Further Mathematics A level. The Further Mathematics course continues these topics to a much higher level as well as introducing new pure topics such as complex numbers, hyperbolic functions and matrices. The further study of mechanics develops understanding of how solid objects behave and circular motion. The statistics part develops understanding further of hypothesis testing, considering when they can go wrong, and how the chances of that happening can be reduced, as well as a formal mathematical study of the chi-squared test.