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Further Mathematics A Level at Long Road Sixth Form College

Course description

If you are a strong mathematician, who enjoys complex problem solving and exploring new Mathematics ideas, you should consider Further Mathematics.

Further Mathematics can only be taken in addition to the Mathematics A level course and so you will achieve two A levels.

The maths syllabus is taught using a theme-based approach, where students engage with problem solving from the start. In lessons you will learn a lot of new mathematics as well as effective study skills and how to work in groups.

Course content

Year 1

You will study the following compulsory topics from Further Pure Maths: complex numbers, matrices, proof by induction, sums of standard series and vectors.

Over the two years, you will also be studying topics from two applied options, Statistics and Mechanics. The statistics and mechanics will develop the ideas introduced in the mathematics course and also bring in some additional topics.

In statistics, new topics include discrete random variables, bivariate data and chi-squared tests. In mechanics, new topics include dimensional analysis, work, energy and power, momentum and impulse and centre of mass.

Year 2

In the second year of the course there is a greater focus on the compulsory Further Pure Maths. We cover year 1 topics in greater depth and also consider the following topics: Maclaurin series, further vectors, calculus (including the use of polar coordinates), hyperbolic functions and differential equations. We will also continue our study of the applied options, Statistics and Mechanics.

Assessment is by examination at the end of Year 2.

Cambridge benefits from having a Further Mathematics Centre based at the Centre for Mathematical Sciences and they often provide revision sessions for Further Mathematics modules. Students also benefit from the STIMULUS project.

Students are entered for the Senior Maths Challenge. In addition we enter a team for the Senior Team Challenge made up of students from years 12 and 13*.  There are also opportunities to attend lectures and other activities arranged by the Further Mathematics Network in Cambridge.


*For details, visit

Entry requirements

At least 7 Grade 4s at GCSE in appropriate subjects including English. You need to have a Grade 7 (but Grade 8/9 preferred ) in Maths.

Examination board: OCR

Future opportunities

The study of Further Mathematics at this level can lead to a range of further studies and possible careers including Mathematics, Physics, Chemistry, Computing, Engineering and Accounting as well as Law, Architecture and other science subjects. Further Maths will also give you a significant head start in courses such as Maths, Engineering and Computing. Students who completed their courses in 2017 are studying, for example, Engineering at Exeter, Computer Science and Maths at Exeter and Maths at the University of East Anglia


Further information


Come to our Open Evening on 17th and 18th October 5-9pm.

How to apply

You can apply for this course through UCAS Progress. Add this course to your favourites so you can start making an application.

Last updated date: 27 September 2018
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