AS/A Level Further Mathematics

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  • Start Date: 01/09/2026
  • Course is for: School Leaver
  • Course Length: 1 Year
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Further Mathematics is an AS/A level qualification designed to deepen and broaden the maths studied in AS/A level Mathematics.

If you choose Further Maths, you also take the Maths A Level, as there is commonality between the two subjects. 

Further Maths is particularly recommended for those wishing to study mathematics, engineering, sciences or computing at undergraduate level.

You will develop your mathematical knowledge by studying three overarching mathematical themes:

  • Mathematical argument, language and proof
  • Mathematical problem solving
  • Mathematical modelling

Within these themes you will study the following mathematical content:

  • Proof
  • Complex numbers
  • Matrices
  • Further algebra and functions
  • Further calculus
  • Further vectors
  • Polar coordinates
  • Hyperbolic functions
  • Differential equations

Required Entry Qualifications

In order to study A-levels with us, all students need to obtain a strong GCSE grade profile, averaging 6 x Grade 6s.

Individual subjects will also have their own specific requirements. In Further Mathematics, you will be expected to have a grade 9 in GCSE Maths.

However, if you do not meet this profile, please still come to one of our enrolment events to discuss all of your options with a member of our A-level team.

The Pearson Edexcel Level 3 Advanced GCE in Further Mathematics consists of four externally-examined papers.

You must take Paper 1 and Paper 2, the two mandatory Core Pure papers, and two optional papers.

You are permitted to take more than the two optional papers if you want to extend your course of study.

WHAT CAN I DO WITH A QUALIFICATION IN AS/A LEVEL FURTHER MATHEMATICS?

  • Chartered and Certified Accountants
  • Financial Accounts Managers
  • Finance Officers
  • Finance and Investment Analysts and Advisers
  • Financial Managers and Directors
  • Actuaries, Economists and Statisticians

Knowledge

Clerical: Knowledge of administrative and clerical procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and other office procedures and terminology.

Mathematics: Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

Economics and Accounting: Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.

Customer and Personal Service: Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.

English Language: Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

Median Salary
£35,867

Average Qualifications
Honours, Bachelor's degree

Find Out More

Knowledge

Economics and Accounting: Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.

Administration and Management: Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modelling, leadership technique, production methods, and coordination of people and resources.

Clerical: Knowledge of administrative and clerical procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and other office procedures and terminology.

Mathematics: Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

Computers and Electronics: Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

Median Salary
£33,956

Average Qualifications
Honours, Bachelor's degree

Find Out More

Knowledge

Clerical: Knowledge of administrative and clerical procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and other office procedures and terminology.

Administration and Management: Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modelling, leadership technique, production methods, and coordination of people and resources.

Mathematics: Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

Economics and Accounting: Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.

Computers and Electronics: Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

Median Salary
£25,783

Average Qualifications
Certificate

Find Out More

Knowledge

Customer and Personal Service: Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.

Mathematics: Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

Economics and Accounting: Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.

Sales and Marketing: Knowledge of principles and methods for showing, promoting, and selling products or services. This includes marketing strategy and tactics, product demonstration, sales techniques, and sales control systems.

Computers and Electronics: Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

Median Salary
£32,157

Average Qualifications
Honours, Bachelor's degree

Find Out More

Knowledge

Economics and Accounting: Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.

Administration and Management: Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modelling, leadership technique, production methods, and coordination of people and resources.

English Language: Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

Mathematics: Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

Personnel and Human Resources: Knowledge of principles and procedures for personnel recruitment, selection, training, compensation and benefits, labour relations and negotiation, and personnel information systems.

Median Salary
£46,840

Average Qualifications
Honours, Bachelor's degree

Find Out More

Knowledge

Mathematics: Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

Computers and Electronics: Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

English Language: Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

Economics and Accounting: Knowledge of economic and accounting principles and practices, the financial markets, banking and the analysis and reporting of financial data.

Administration and Management: Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modelling, leadership technique, production methods, and coordination of people and resources.

Median Salary
£40,101

Average Qualifications
Honours, Bachelor's degree

Find Out More

Pathways

Accounting and Finance
People in these occupations prepare and record accounts of financial dealings within businesses and provide financial analysis, banking, credit, and investment services.
Mathematics and Social Sciences
People in these occupations study mathematical methods, apply mathematics to solve problems, and study and describe human society.

Pathways

Accounting and Finance
People in these occupations prepare and record accounts of financial dealings within businesses and provide financial analysis, banking, credit, and investment services.
Mathematics and Social Sciences
People in these occupations study mathematical methods, apply mathematics to solve problems, and study and describe human society.

Skills

Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Mathematics
Using mathematics to solve problems.
Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Reading Comprehension
Understanding written sentences and paragraphs in work related documents.
Speaking
Talking to others to convey information effectively.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Science
Using scientific rules and methods to solve problems.
View More About This Career

Skills

Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Mathematics
Using mathematics to solve problems.
Reading Comprehension
Understanding written sentences and paragraphs in work related documents.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Speaking
Talking to others to convey information effectively.
Science
Using scientific rules and methods to solve problems.
View More About This Career

Skills

Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Reading Comprehension
Understanding written sentences and paragraphs in work related documents.
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Speaking
Talking to others to convey information effectively.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Mathematics
Using mathematics to solve problems.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Science
Using scientific rules and methods to solve problems.
View More About This Career

Skills

Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Speaking
Talking to others to convey information effectively.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Mathematics
Using mathematics to solve problems.
Reading Comprehension
Understanding written sentences and paragraphs in work related documents.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Science
Using scientific rules and methods to solve problems.
View More About This Career

Skills

Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Reading Comprehension
Understanding written sentences and paragraphs in work related documents.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Mathematics
Using mathematics to solve problems.
Speaking
Talking to others to convey information effectively.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Science
Using scientific rules and methods to solve problems.
View More About This Career

Skills

Mathematics
Using mathematics to solve problems.
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
Reading Comprehension
Understanding written sentences and paragraphs in work related documents.
Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Monitoring
Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
Learning Strategies
Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
Speaking
Talking to others to convey information effectively.
Science
Using scientific rules and methods to solve problems.
View More About This Career
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