Hartlepool Sixth Form College


AS / A Level Mathematics

Course Content

There are three overarching themes in AS / A-Level Mathematics:

  • Mathematical argument, language and proof
  • Mathematical problem solving
  • Mathematical modelling

The branches of mathematics that you will study are:

  • Pure Mathematics: This is the bulk of the course and builds on your knowledge from GCSE. Some topics will already be familiar such as algebra, trigonometry, and geometry. You will need to have an excellent grasp of algebraic techniques for success in these questions.
  • Statistics: This will involve analysing a large data set which you will study in lessons in the lead up to the exam.
  • Mechanics: Similar to Physics, the mechanics element of the course applies mathematics to real life objects and the forces applied to them.

Mathematics students need to have a real passion for the subject and be keen to do at least four hours per week independent study outside of the classroom. If you are good at mathematics; why not consider studying further mathematics? If you choose to study further mathematics, you will cover all of the content mentioned above as well as some additional topics, developing your understanding of these branches of mathematics further.


Mathematics is a requirement on most science courses, but an A-Level in Mathematics could lead to the study of the following at university:

  • Mathematics (Some universities also require further mathematics)
  • Engineering (maths is a requirement for all types)
  • Economics
  • Business studies
  • Accounting

A degree in mathematics can lead to a career in almost any sector, (except those that require specific training e.g. medicine) with popular career choices being:

  • Statistician
  • Accountant
  • Actuary
  • Operational research

AS / A-Level Further Mathematics

Course Content

If you enjoy mathematics you should consider studying both A-Level Mathematics and A-Level Further Mathematics. To study a course in Further Mathematics, you need to have at least a grade 7 in GCSE Mathematics and have an excellent knowledge of higher tier GCSE. To study Further Mathematics A-Level you must also study Mathematics A-Level as some of the course content is dependent on what you would study in the Mathematics A-Level.

In addition to the topics you study in A-Level Mathematics you will have the opportunity to study some topics you met at GCSE in more depth and meet some new topics including complex numbers and matrices.


Further Mathematics is particularly useful for students who wish to follow careers in Mathematics or Engineering. Some of the top universities will require you to study Further Mathematics as a condition to a place on their course.

GCSE Mathematics

If you have not quite achieved what you would have liked to at GCSE, don’t worry we can help! We provide a range of options that you can study over a one-year period, which on successful completion will allow you to bridge that gap and move to Level 3 programmes of study.

Course Content

This is a re-sit course is for you if you did not achieve a grade 4 or higher in school. This specially designed course is available for just sixth form students as it condenses the traditional two-year Edexcel GCSE (9-1) Mathematics course into an intensive one-year course. You will, however, be given plenty of support and all lessons are well structured to give you the knowledge and exam techniques to achieve success. At the end of the course, students will sit exactly the same GCSE papers as given to Year 11 students in school.


There are three exam papers, each worth 80 marks and each 1hour 30 minutes in length. Paper 1 is the only paper not to allow the use of a calculator. On each paper, 50% of marks will be targeted at grades 1, 2 and the lower part of grade 3, and 50% of the marks will be targeted at the upper part of grade 3 and grades 4 and 5.