Many universities consider mathematics to be one of the most valuable A-levels. It is a pre-requisite for some of the courses; Physics, Accountancy, Mathematics and Statistics. If you are considering a career in the area of mathematics Further Mathematics at A-level would certainly be advantageous. You will have the opportunity to develop decision making and problem solving skills, transferable to any career path you choose.

Some of the skills you will learn:

  • Construct rigorous mathematical arguments.
  • Assess the validity of mathematical arguments and explain your reasoning.
  • Translate problems in mathematical and non-mathematical contexts into mathematical processes.
  • Translate situations in context into mathematical models, evaluate the outcomes of modelling in context, recognise the limitations of models and, where appropriate,  explain how to refine them.

A Level Mathematics

Paper 1 and Paper 2 Pure Mathematics

Topics include; Proof, Algebra and Functions, Co-ordinate Geometry in the (x,y) Plane, Sequences and Series, Trigonometry, Exponentials and Logarithms, Vectors, Sequences and Series, Binomial Expansion, Differentiation, Integration and Numerical Methods.

Paper 3 Statistics and Mechanics;

Topics include; Data Presentation and Interpretation, Correlation and Regression, Binomial Distribution, Normal Distribution and Statistical Hypothesis Testing, Probability, Kinematics, Forces and Newton's Laws, Moments, Static Rigid Bodies, Projectiles, Application and Further Kinematics.

Each paper is two hours long.


Further Mathematics qualifications are highly regarded by universities. Students who take Further Mathematics are demonstrating a strong desire for their mathematics studies, as well as learning mathematics that is very useful for any mathematically rich degree.
A Level Further Mathematics

Paper 1 and 2 Core Mathematics

Topics include; Complex Numbers, Series, Roots of Polynomials, Volumes of Revolution, Matrices, Linear Transformations, Proof by Induction, Vectors, Methods in Calculus, Polar Coordinates, Hyperbolic Functions, Methods in Differential Equations and Modelling with Differential Equations

Paper 3 and 4 Further Pure Mathematics

Topics include; Inequalities, Vectors, Conic Sections, Taylor Series, Methods in Calculus, Numerical Methods, Reducible Differential Equations, Number Theory, Groups, Recurrence Relations, Matrix Algebra and Integration Techniques.

Each paper is one hour and thirty minutes.