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Overview

A-level Further Mathematics is designed to broaden and deepen the mathematical knowledge and skills developed when studying A-level Mathematics. It may be studied alongside or after taking A level Mathematics. Studying both A-level Mathematics and A-level Further Mathematics provides a foundation for further studies in any Science or Maths-based course, ranging from Computer Science, Medical Sciences, and Psychology to Statistics, Management and Actuarial Science.

Key Facts

Start Dates:

  • 3 January 2023
  • 11 September 2023

Colleges:

  • Bournemouth
  • Brighton
  • London
  • Oxford

Entry level:

  • Academic: Completed 10 years of schooling (GCSE or equivalent)
  • English: IELTS 5.5 or equivalent

Minimum age:

  • 16

Length:

  • 2 Academic Years (3 terms)
  • We also offer a One-Year A-level in Further Maths and an entry from Year 12.

Lessons:

  • Average 7 hours per week for each A-level subject (plus homework and private study)

Learning outcomes

  • Gain UK national university entrance qualification
  • Raise English to university level
  • Develop study skills required at degree level
  • Develop specialist subject expertise

Course content and structure

The following syllabus outline is based on AQA exam board content. Please note that exam boards may vary from college to college.

Year 1

Further Pure Mathematics

  • Coordinate systems (part 1)
  • Inequalities (part 1)
  • Further Trigonometry
  • Further vectors (part 1)

Further Statistics

  • Poisson and binomial distributions (part 1)
  • Discrete probability distributions
  • Poisson and binomial distributions (part 2)
  • Chi squared tests (part 1)

Year 2

Further Pure Mathematics

  • Further vectors (part 2)
  • Coordinate systems (part 2)
  • Inequalities (part 2)
  • Further numerical methods
  • Further calculus
  • Further differential equations

Further Statistics

  • Geometric and negative binomial distributions
  • Hypothesis testing
  • The Central Limit Theorem
  • Chi squared tests (part 2)
  • Probability generating functions
  • Quality of tests

Typical A-level subject combinations with Further Maths

Sample enrichment activities

  • Bletchley Park visit
  • The Big Bang fair, NEC Birmingham
  • UK Maths Challenge
  • Astronomy Club
  • Business Enterprise
  • Science Club

Sample academic calendar (2023-2024 and 2024-2025)

Year 1

Sept

11th: term starts
Student induction

Oct

23 – 27th: half term
Progress tests

Nov

University fairs and talks

Dec

15th: term ends
End of term exams

Jan

8th: term starts

Feb

15th – 16th: half term
Progress tests
University fairs

Mar

End of term exams
22nd: term ends

Apr

8th: term starts

May

Progress tests

June

Exams
14th: term ends

Year 2

Sept

9th: term starts

Oct

21st Oct – 1st Nov: half term
15th October: UCAS deadline (Medicine)
Progress tests

Nov

University fairs and talks

Dec

13th: term ends
End of term exams

    Jan

    6th: term starts
    15th January: UCAS deadline (other subjects)

    Feb

    13 – 14th: half term
    Progress tests

    Mar

    21st: term ends
    Mock exams

    Apr

    7th: term starts
    Progress tests

    May

    Final exams

    June

    13th June: term ends

    Recommended reading

    Below is a list of books which may help you prepare for your studies prior to arrival. Please note that additional books, and online resources such as websites and journals will be shared once you begin your course.

    • Proofiness: How You’re Being Fooled by the Numbers by Chares Seife
    • The Mathematical Experience by Philip J. Davis
    • The Drunkard’s Walk by Leonard Mlodinov
    • Oxford Student’s Mathematics by Oxford Dictionaries
    • Oxford Content and Language Support: Mathematics by Caroline Meyrick and Judy Roberts

    Degree progression

    Further Maths has wide applications in industry, business, finance, science, technology and many others.

    There are a number of degree courses where A-level Further Maths is favoured — including Chemistry, Maths, Medicine and some Engineering programmes.

      Sample alumni progression

      Shujie Feng

      • Maths/Further Maths/Physics
      • University of Edinburgh (Maths)

      Van Khoa Hoang

      • Maths/Further Maths/Physics
      • University of Manchester (Artificial Intelligence)

      Taisei Tsuruoka

      • Maths/Further Maths/Chemistry
      • University of Manchester (Maths)

      Yancheng Xu

      • Maths/Further Maths/Physics/Chemistry
      • Imperial College London (Mechanical Engineering)

      Timofei Fedotov

      • Further Maths/Maths/Biology/Physics
      • University of Oxford (Engineering)

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      The Kings Admissions Team