Why study A level further maths?

Further maths is designed for you if you have an enthusiasm for maths, and want to go on to degrees in maths, engineering, the sciences and economics. The qualification is deeper and broader than A level maths.

As well as building on algebra and calculus introduced in A level maths, the core content introduces complex numbers and matrices, fundamental ideas with wide applications in engineering, physical sciences and computing. The non core contents include different options that can enable students to specialise in areas of maths that are particularly relevant to their interests and future aspirations.

Level: A level

Board: AQA

Head of department:
Mrs C Reeves

Entry requirement: Grade 8 GCSE maths; five grade 5s at GCSE including English

How is A level further maths delivered and assessed?

YearUnitContentAssessment
12Core pure mathematics 1Complex numbers, matrices, proof, vectors, polar coordinates, hyperbolic functions
Optional content introductionStudents may begin optional topics such as mechanics, statistics, discrete/decision mathsInternal assessment / mock exams
13Paper 1: core pure 1Builds on year 12 core pure topics1-hour and 30-minute written exam
Paper 2: core pure 2Further calculus, differential equations, further vectors, series, groups1-hour and 30-minute written exam
Paper 3: optional moduleChoice of mechanics, statistics, discrete, extra pure mathematics1-hour and 30-minute written exam

Optional module choices (paper 3):

  • Further mechanics: momentum, circular motion, work-energy
  • Further statistics: distributions, hypothesis testing, correlation
  • Discrete/decision: graph theory, algorithms, linear programming
  • Extra pure: deeper exploration of pure maths topics (often for mathematically inclined students)