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Further Mathematics GCE A Level at Mirfield Free Grammar & Mirfield College

Course description

Taken in addition to A Level Mathematics, this course counts as a second A Level. Further Mathematics is a subject for those students who really enjoy mathematics, have a clear ability and passion for the subject and have an excellent and in-depth understanding of the GCSE course. A Level Further Mathematics is the second fastest growing A Level nationally with a 24% increase in students taking the course from 2015 to 2016. The further mathematics qualification is immensely desirable to universities for those planning to study a degree in Mathematics or related subjects such as engineering or the sciences which require a large amount of mathematical understanding.

The breadth of study on this course means that as well as extending comprehension of Pure Mathematics introducing topics such as matrices, polar co-ordinates and solving simultaneous equations in new and wonderful ways, students will also develop an excellent understanding of two of the following topic areas: statistical methods, mechanics (the study of motion) or discrete Mathematics (with many applications in computing and logistics). Further Mathematics is a challenging course, but is equally very rewarding. In addition to lessons, we offer seminar style support sessions to help students discuss any misconceptions and challenges.

Course content


• Proof

• Complex Numbers

• Matrices

• Further Algebra and Functions

• Further Calculus

• Further Vectors

• Polar Co-ordinates

• Hyperbolic Functions

• Differential Equations

In addition to these, students are required to study two further units.

Entry requirements

Grade 7 or above in GCSE Mathematics and Grade 4 in GCSE English Language

*Please note with government changes to GCSE grading system (9-1) we reserve the right to adjust subject entry requirements and to withdraw subjects which do not meet minimum numbers.

*All subject specific entry requirements are in addition to the General Entry Requirements


Four external examinations:

• Core Pure Mathematics = 50%

• Decision 1 & 2 = 50%

Financial information

16-19 Bursary Fund

This scheme was introduced by the Government to help students study. Contributions and payments ‘in kind’ have been made to students to help with their individual identified needs, such as:

   •   Travel

   •   Stationery costs and packs

   •   Books and revision guides

   •   Educational trips/residential trips

   •   University Open Day visit costs

   •   Employment/apprenticeship opportunities


Bursaries are available to students in the following categories:



Category One:

Students who are identified by the government at ‘most vulnerable’ will be eligible for a guaranteed bursary of £1,200.

Category Two:

Family income is below threshold for working tax credits/free school meals.

Category Three:

Students who have an extreme financial barrier, mitigating circumstances and/or a short-term specific educational or independent living cost.

Applications will be issued during Summer 2018 for students to return on Enrolment Day.

For more information contact us on 01924 483666 or email


Future opportunities

An A Level qualification in further mathematics is desirable if you want to pursue a degree course in mathematics or related courses, in engineering and physics. Many Russell Group universities would like to make further mathematics a pre-requisite of their mathematics courses. Experience has shown that most students who take mathematics degrees have studied further mathematics. Students who successfully completed this course have gone on to careers in mathematics or associated subjects. Our experienced team have also supported students applying to Oxbridge and Warwick to study mathematics including entrance examination preparation for these establishments.

Further information

Very similar to the A Level mathematics course, just twice the enjoyment and challenge! If you enjoyed studying Mathematics at GCSE and have a flair for problem solving and a logical mind, then this is the course for you. Students need to be dedicated, hardworking and effective communicators, with a determined attitude. This course suits those who are resilient and have an aptitude for independent learning and enjoy a challenge.

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: 28 September 2018
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Key information

Contact details

    • Contact name:
    • Emma Salter - Post 16+ Officer
    • Contact telephone number:
    • 01924 483 666
    • Email address:


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    • Find Us

      Travelling to Mirfield College

      We are located on a wonderful campus in Mirfield that belongs to The MFG Academies Trust. For students interested in Post 16 – 19 studies here and want to visit us, Mirfield College is situated in its own building next to The Mirfield Free Grammar Academy.

      Once enrolled with us, you will have your own student access into Mirfield College, just off Slipper Lane.