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Prince William School

further maths

Studying Further Mathematics can also help by introducing some of the ideas which you would meet at the beginning of university courses. Some universities will require Further Mathematics for their Mathematics undergraduate courses and it is strongly recommended for many science courses. The additional study in Statistics also makes it suitable for students applying for Business, Geography or Economics courses. ; so make sure that you are aware of the entry qualifications when choosing a university and course. It is a more challenging A Level and cannot be studied without Maths A Level.

At AS Level students study one more Core module (FP1) and also study 2 new applied modules, Mechanics and Decision Maths.

At A level students study one more Core module (FP2) and also study 2 new applied modules, Statistics 3 and Mechanics 2.

Further Pure 1 This unit comprises techniques from Pure Mathematics (core). Topics include graphs and inequalities, matrices, complex numbers and proof by induction.

Decision Maths is the application of mathematics to real everyday problems. This unit includes networks, linear programming, critical path analysis, simulation and algorithms.

Mechanics is the application of Mathematics to solving physical problems through kinematics and forces. The first unit looks at the equations of motion, projectiles, forces and Newton’s laws of motion.

Further Maths is a very desirable A Level for those students wanting to study Maths, Engineering or any related Maths based courses at university, particularly at the more academic universities

Skills Taught:

The Units are designed to encourage students to:

  • Develop their understanding of Mathematics in a way which promotes confidence and enjoyment;
  • Develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct Mathematical proofs;
  • Extend their range of Mathematical skills and techniques and use them in more difficult, unstructured problems;
  • Develop an understanding of coherence and progression in Mathematics and of how different areas of Mathematics can be linked;
  • Recognise how Mathematics can be used to understand relationships in the real world; Communicate using Mathematics;
  • Understand Mathematical arguments; Acquire the skills needed to use technology such as calculators and to recognise their limitations;
  • See the relevance of Mathematics in other fields of study.


One unit of Core Maths and two Applied units are examined each year in 1 ½ hour papers.