This course will extend your knowledge of topics covered in GCSE Mathematics, such as algebra and geometry, as well as introducing more advanced techniques. Alongside Pure Mathematics, you will also study Statistics and Mechanics: Statistics will develop your knowledge of probability and your ability to analyse data, enabling you to draw and present valid conclusions from a data set using hypothesis testing and distribution models; Mechanics will apply your knowledge of vectors to understand movement (and lack thereof), collisions and the physical world using simplified models.

What skills will I develop?

You will develop your mathematical skills further, particularly with regards to algebra, graphs and trigonometry.

You will learn advanced mathematical concepts, such as calculus and logarithms, which are applicable in a variety of contexts.

You will learn how to model situations mathematically, including the use of Statistics and Mechanics, as well as developing your problem-solving and reasoning skills.

Ultimately, A Level Mathematics will teach you essential skills that allow you to apply mathematics to the real world, as well as more abstract concepts that are invaluable for supporting the transition to a degree in Mathematics or related disciplines.

What topics will I study?

The following topics are assessed over three equally weighted 2 hour examinations

Pure Mathematics:

  • Proof; Algebra and functions; Coordinate geometry in the (x,y) plane; Sequences and series; Trigonometry; Exponentials and logarithms; Differentiation; Integration; Vectors; Numerical methods

Applied mathematics:

  • Statistics: Statistical sampling; Data presentation and interpretation; Probability; Statistical distributions; Statistical hypothesis testing
  • Mechanics: Quantities and units in mechanics; Kinematics; Forces and Newton’s laws; Moments


Component 1 - Examination: Pure 1 (2 hours - 33.3%)

Component 2 - Examination: Pure 2 (2 hours - 33.3%)

Component 3 - Examination: Applied [Statistics & Mechanics] (2 hours - 33.3%)


Where does the course lead?

Mathematics is in great demand by employers. Some careers make obvious use of mathematics, such as accountancy, banking and financial services. Alternatively, the ability to analyse and solve problems opens up opportunities in local government, the civil service and all areas of industry and commerce. It can also be a university requirement if you intend to study higher education courses in Physics, Engineering, Computer Science, Economics, and, of course, Mathematics at university.

Exam Board


Head of Department

Jason Bagshaw

Entry Requirements

Five grades 4-9 (or equivalent) including at least a grade 6 in Mathematics.

Assessment Breakdown

Examination = 100%