AS/A Level Further Mathematics


  • Start Date: 01/09/2026
  • Course is for: School Leaver
  • Course Length: 1 Year
  • Funding Support Funding Support:
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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?

  • Higher Level Teaching Assistants
  • Teachers of English as a Foreign Language
  • Education Advisers and School Inspectors
  • Precision Instrument Makers and Repairers
  • Education Managers
  • Customer Service Managers

Knowledge

Education and Training: Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.

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

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.

Public Safety and Security: Knowledge of relevant equipment, policies, procedures, and strategies to promote effective local, state, or national security operations for the protection of people, data, property, and institutions.

Psychology: Knowledge of human behaviour and performance; individual differences in ability, personality, and interests; learning and motivation; psychological research methods; and the assessment and treatment of behavioural and affective disorders.

Median Salary

£21,718

Averge Qualifications

Level 2 NVQ; GCSE at grades A*-C

Apply Now

Knowledge

Education and Training: Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.

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

Foreign Language: Knowledge of the structure and content of a foreign (non-English) language including the meaning and spelling of words, rules of composition and grammar, and pronunciation.

Psychology: Knowledge of human behaviour and performance; individual differences in ability, personality, and interests; learning and motivation; psychological research methods; and the assessment and treatment of behavioural and affective disorders.

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.

Median Salary

£37,121

Averge Qualifications

Honours, Bachelor's degree

Apply Now

Knowledge

Education and Training: Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.

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.

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.

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

£34,944

Averge Qualifications

Honours, Bachelor's degree

Apply Now

Knowledge

Mechanical: Knowledge of machines and tools, including their designs, uses, repair, and maintenance.

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.

Engineering and Technology: Knowledge of the practical application of engineering science and technology. This includes applying principles, techniques, procedures, and equipment to the design and production of various goods and services.

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.

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.

Median Salary

£36,248

Averge Qualifications

Level 3 NVQ; A Levels

Apply Now

Knowledge

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.

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.

Education and Training: Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.

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

£38,523

Averge Qualifications

Honours, Bachelor's degree

Apply Now

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.

Education and Training: Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.

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.

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.

Median Salary

£28,799

Averge Qualifications

Level 3 NVQ; A Levels

Apply Now

Skills

Learning Strategies

Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.

Critical Thinking

Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.

Monitoring

Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.

Reading Comprehension

Understanding written sentences and paragraphs in work related documents.

Writing

Communicating effectively in writing as appropriate for the needs of the audience.

Speaking

Talking to others to convey information effectively.

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.

Mathematics

Using mathematics to solve problems.

Science

Using scientific rules and methods to solve problems.

Skills

Learning Strategies

Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.

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.

Speaking

Talking to others to convey information effectively.

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.

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.

Mathematics

Using mathematics to solve problems.

Science

Using scientific rules and methods to solve problems.

Skills

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.

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.

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.

Mathematics

Using mathematics to solve problems.

Science

Using scientific rules and methods to solve problems.

Skills

Active Learning

Understanding the implications of new information for both current and future problem-solving and decision-making.

Mathematics

Using mathematics to solve problems.

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 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.

Science

Using scientific rules and methods to solve problems.

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.

Skills

Monitoring

Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.

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.

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.

Active Learning

Understanding the implications of new information for both current and future problem-solving and decision-making.

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.

Mathematics

Using mathematics to solve problems.

Science

Using scientific rules and methods to solve problems.

Skills

Monitoring

Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.

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.

Speaking

Talking to others to convey information effectively.

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.

Learning Strategies

Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.

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.

Mathematics

Using mathematics to solve problems.

Science

Using scientific rules and methods to solve problems.

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