Awarding Body:OCRCourse Duration:1/2 Years


A Level Further Mathematics is the perfect companion to your Mathematics A level if you see your career heading down a scientific route or if you have a genuine love of solving problems and the world of Mathematics. There will be an introductory task to complete after enrolment in order to set the scene for the first topics in pure maths at the start of the course.

Course Content

With strong algebraic skills, a good understanding of problem solving techniques and a grade 7 to 9 in your GCSE Mathematics you will be well placed to undertake this course in addition to your A level Mathematics course.

Year 1 Content

Core Pure Maths

  • Complex numbers
  • Matrices
  • Planes
  • Algebra
  • Polynomial equations

Modelling With Algorithms

  • General algorithms
  • Graphs and network theory
  • Linear Programming in 2D and 3D
  • Critical Path Analysis


  • Equations of motion
  • Friction
  • Moments
  • Centres of mass
  • Work, Power and Energy

Year 2 Content

In year 2, there is a choice of whether to specialise in mechanics, core pure or to add numerical methods or the FPT (further pure with technology) module. Each module builds on knowledge gained in year 1 courses in Further Mathematics and Mathematics.

The important skills of modelling problems, mathematical reasoning and problem solving are key themes in mathematics and are developed further in this course. We take a more rigorous approach to proving mathematical results and the structure of mathematical arguments.

Methods of Teaching

Lessons will be varied, mixing investigations, class discussions, checking progress with mini-white boards and the ‘practice that makes perfect’.  The graphical calculator offers tools for deepening our understanding, allowing for checking of working and graphical interpretations of complex problems.  (You will have opportunities to develop your calculator skills in lessons). Your teacher will show you how to make effective use of the department intranet and the wealth of resources to support your journey through more advanced topics.  The subject content is assessed regularly by class tests and homework assignments.

There is a well-resourced workshop, for additional support, every lunchtime. Teachers and upper sixth students will be present at each session to offer you help. During the year there are also module specific workshops available to further maths students in core pure in years 1 and 2.

Methods & Patterns of Assessment

There will be a series of external exams in May/June at the end of the 2 year course.
There is no coursework in the Further Maths courses. 

Paper 1 (all students) – Core Pure - 2hours 40mins – 50% of final grade.

Paper 2 (all students) – Modelling with algorithms - 1hour 15mins – 17% of final grade.

Other exams sat depend on the year 2 modules chosen.

Financial Implications

You will need to purchase three textbooks, one for each of the modules in year 1, core pure, mechanics and modelling with algorithms. Personal stationery is also required and we will make good use of the graphical calculator that is required for Maths A level.  In some cases, where there is difficulty meeting these costs, the college student support fund may help.

Where Could It Take Me?

A level Mathematics provides a sound basis for many degree courses but is essential for those studying courses with a high level of mathematical content, e.g. Mathematics, Statistics, Engineering, Computer Science and Economics.
An A level in further mathematics, enhances and deepens your knowledge and will better prepare you for mathematically rich degree courses, or top tier russell group universities.

Entry Requirements

5 GCSEs at grade 4 or above, including English, plus a grade 7 or above in Maths.

Good algebraic skills are essential.

Further Maths will also require a real love of the subject.

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