Further Mathematics


Mathematics students at Charters School will be equipped to deal with the mathematics they will encounter in everyday life. Students will be encouraged to be independent learners, and to develop the confidence and resilience to try different approaches in order to reach a solution. They will be analytical, logical and able to think critically, while developing the mathematical literacy needed to interpret problems and present their ideas coherently.

This means our students will be able to:

  • Explain the reasoning behind mathematical processes, and incorporate problems which require students to demonstrate their understanding of the topic as well as their ability to apply the method
  • Present challenges during lessons which require resilience and analytical thinking
  • Model appropriate mathematical vocabulary and encourage mathematical literacy so students can correctly express their understandings
  • Provide opportunities to work independently both during and out of lessons
  • Interlink topics within the Mathematics curriculum and emphasise the mathematical links to different subject areas to ensure effective reinforcement of skills learnt.


Further Mathematics provides the opportunity for students to extend and deepen their knowledge and understanding further, building beyond the standard A level course. Students will use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts. Students will also be required to clearly communicate the mathematical rationale for their decisions. This course is studied in addition to the A level mathematics course.


The course is assessed by four papers at the end of Year 13. All papers are 75 marks in total, 90 minutes long and count for 25% of the final grade. Papers 1 and 2 are Core Pure Mathematics, paper 3 is Further Pure 1 and paper 4 is Further Statistics 1. Calculators are a requirement for all papers.


The minimum entry requirements for Charters Sixth Form can be viewed here

In addition to these the subject specific entry requirements for Mathematics are:

GCSE grade 8 in Mathematics required.

Students must have completed and handed in the induction homework. Anyone who was not at induction will be given the homework at the start of the course.

Acceptance onto the A level Further Mathematics course is dependent on passing the competency test at the beginning of the year. This is based on the work in the induction booklet and includes skills that are essential to this A level.

Students selecting this course will study A Level Mathematics and Further Mathematics together over two years and will end up with an A level in both Mathematics and Further Mathematics. There is a provision for students to sit the AS Further Mathematics exams should they wish to discontinue with the A Level Further Mathematics course at the end of year 12.

(You do not need to select A level Mathematics as a separate option).




Take a look around the links below to find our where this exciting subject could lead.

Complementary Subjects

Overwhelmingly, students taking Further Mathematics find it to be an enjoyable, rewarding, stimulating and empowering experience. For more able A level Mathematics students it enables them to distinguish themselves as able mathematicians both for university applications and in the employment market.

For students who enjoy mathematics, it provides a challenge and a chance to explore new and/ or more sophisticated mathematical concepts.

Studying Further Mathematics

• broadens their mathematical skills and promotes deeper mathematical thinking;

• helps ensure a successful progression to mathematics-based subjects at university;

• is a requirement for entry to prestigious mathematics-based courses at leading universities and improves their chances of an offer at many others;

• is a way to make their university application stand out;

• is not just for students who want to become engineers or physicists

Future Opportunities

Any student applying to study a science, technology, engineering, or other mathematics-related degree, such as economics, should consider taking Further Mathematics to at least AS level.

Be Inspired by Exploring Further


The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth: The Story of Paul Erdös and the Search for Mathematical Truth

The biography of a mathematical genius. Paul Erdos was the most prolific pure mathematician in history and, arguably, the strangest too.

Advanced Problems in Mathematics: Preparing for University by Stephen Siklos

This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. 

University of Cambridge, (Mathematics Faculty) Reading List 

Recommended books for young people who are interested in mathematics. They are grouped into three different categories:

  • History of Mathematics
  • Recreational
  • Thinking Mathematically


Discover more about this fascinating subject:

Balls and Cones - Numberphile

An unexpected way to inflate a balloon - Numberphile


UKMT Maths Chllenge 

Senior Mathematical Challenge archive