AS/A Level Mathematics

Apply NowContact us
  • Start Date: 01/09/2026
  • Course is for: School Leaver
  • Course Length: 1 Year
  • Funding Support Funding Support:
    What is this
  • Learning Support:
    Find Out More

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?

  • Chartered and Certified Accountants
  • Finance and Investment Analysts and Advisers
  • Finance Officers
  • Financial Managers and Directors
  • Financial Accounts Managers
  • Financial and Accounting Technicians
  • 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

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

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

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

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.

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.

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
£45,917

Average Qualifications
Level 3 NVQ; A Levels

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

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.
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.
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

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

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

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
Two womens football players laughing whilst sat on a bench Two students playing basketball

JOIN OUR SPORTS ACADEMIES

Eight specialist sport academies, all offering first class training, coaching and playing opportunities for everyone, regardless of what you study.

Find out more

Connect with our Academy socials:

Group of friends laughing together

Enrolment Event

Monday 18 May 2026

Find Out More

Say Hello to Rugby

Wednesday 27 May 2026

Find Out More

 

UPCOMING EVENTS.

Find out about all our upcoming events here. Simply sign up and come along.

VIEW ALL EVENTS

School Leaver Course Guide 2026/2027

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

View Here
Gateshead College School leaver guide_26-27