AS/A Level Mathematics


  • Start Date: 01/09/2026
  • Course is for: School Leaver
  • Course Length: 1 Year
  • Funding Support Funding Support:
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In your study of maths you develop skills in analysing and interpreting data, finding patterns and drawing conclusions.

You’ll learn to approach problems in an analytical and rigorous way, formulating theories and applying them to solve problems.

Maths in many ways establishes in you an ability to deal with abstract concepts.

Employers place a high value on these skills so there is significant demand for mathematicians and statisticians.

Our mathematicians have pursued careers in the petroleum and nuclear industries, in medicine, and engineering.

Mathematicians are also in high demand in well paid sectors such as pharmaceuticals, insurance, market research, banking and accountancy.

AS Level

Paper 1: Pure Mathematics

Topic 1 – Proof

Topic 2 – Algebra and functions

Topic 3 – Coordinate geometry in the (x, y) plane

Topic 4 – Sequences and series

Topic 5 – Trigonometry

Topic 6 – Exponentials and logarithms

Topic 7 – Differentiation

Topic 8 – Integration

Topic 9 – Vectors
 

Paper 2: Statistics and Mechanics

Section A: Statistics

Topic 1 – Statistical sampling

Topic 2 – Data presentation and interpretation

Topic 3 – Probability

Topic 4 – Statistical distributions

Topic 5 – Statistical hypothesis testing

Section B: Mechanics

Topic 6 – Quantities and units in mechanics

Topic 7 – Kinematics

Topic 8 – Forces and Newton’s laws

A Level:

Paper 1: Pure Mathematics 1

Paper 2: Pure Mathematics 2

Topic 1 – Proof

Topic 2 – Algebra and functions

Topic 3 – Coordinate geometry in the (x, y) plane

Topic 4 – Sequences and series

Topic 5 – Trigonometry

Topic 6 – Exponentials and logarithms

Topic 7 – Differentiation

Topic 8 – Integration

Topic 9 – Numerical methods

Topic 10 – Vectors


Paper 3: Statistics and Mechanics

Section A: Statistics

Topic 1 – Statistical sampling

Topic 2 – Data presentation and interpretation

Topic 3 – Probability

Topic 4 – Statistical distributions

Topic 5 – Statistical hypothesis testing

Section B: Mechanics

Topic 6 – Quantities and units in mechanics

Topic 7 – Kinematics

Topic 8 – Forces and Newton’s laws

Topic 9 – Moments

Assessment

Topic tests will take place regularly on this course and full mocks will be held in January.

AS students sit 2 exams at the end of the first year and A Level students sit 3 exams at the end of year 2.

Both universities and employers hold an A Level qualification in Mathematics in high regard.

With the appropriate combination of other AS and A Levels, A Level Mathematics can lead to a wide variety of options when choosing higher education courses.

Typical examples include Medicine, Engineering, Law, Business, Social and Political sciences, Natural sciences, and of course Mathematics itself.

Similarly the employment opportunities are equally diverse.

Further Mathematics is strongly recommended for those students who wish to apply to those universities listed in the ‘top ten’ for such subjects as Engineering, Economics, or Mathematics.

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 Mathematics, you will be expected to have a grade 7 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.

Whatever support you need, we’re here for you and will make sure you get the most out of your time at college.

We have expert teams in place to look after every single one of our students.

Our specialist teams can help with:

  • Learning difficulties
  • Physical and sensory disabilities
  • Dyslexia, dyspraxia, neurodiversity or other specific learning difficulties
  • Mental health and well being
  • Exam access arrangements
  • Money, finance and bursary advice
  • Careers advice, job and university applications

See here for more information, pop into one of our enrolment events, call us on 0191 490 4627.

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

  • Precision Instrument Makers and Repairers
  • Higher Level Teaching Assistants
  • Estate Agents and Auctioneers
  • Teachers of English as a Foreign Language
  • Secondary Education Teaching Professionals

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

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

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.

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.

Law and Government: Knowledge of laws, legal codes, court procedures, precedents, government regulations, executive orders, agency rules, and the democratic political process.

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.

Median Salary

£22,474

Averge Qualifications

Level 3 NVQ; A Levels

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.

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

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.

Sociology and Anthropology: Knowledge of group behaviour and dynamics, societal trends and influences, human migrations, ethnicity, cultures and their history and origins.

Median Salary

£38,565

Averge Qualifications

Level 5 NVQ; Masters

Apply Now

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

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

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.

Mathematics

Using mathematics to solve problems.

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.

Speaking

Talking to others to convey information effectively.

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.

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 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.

Mathematics

Using mathematics to solve problems.

Science

Using scientific rules and methods to solve problems.

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School Leaver Course Guide 2026/2027

View or download our course guide for 16-18 year olds.

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