Year 12

Building Core
Mathematical Knowledge

In Year 12, your focus will be on developing a strong foundation in pure mathematics, which makes up two-thirds of the course. You will explore algebra, geometry, trigonometry and calculus in depth, gaining a secure understanding of the fundamental techniques that underpin advanced mathematics. This includes learning how to manipulate functions, solve equations and interpret graphs, alongside developing skills in logical proof and mathematical reasoning. These pure mathematics skills are assessed through three exam papers, with applied elements embedded in two of them.

Applied mathematics forms the remaining third of your studies, split between mechanics and statistics. Mechanics introduces you to concepts such as forces, energy, motion and Newton’s laws, linking mathematics with physics to explain how and why objects move. In statistics, you will analyse data, explore probability models and develop techniques for hypothesis testing. These skills are invaluable for interpreting information accurately and making evidence-based conclusions.

Throughout Year 12, you will be encouraged to think logically, work methodically and approach unfamiliar problems with confidence. Support is available through dedicated workshops and booster sessions, while enrichment opportunities, such as the UKMT Mathematics Challenges, allow you to test your skills in a competitive and stimulating environment.