Further Mathematics AQA A-Level Revision
Complete topic breakdowns, revision notes, exam practice questions, and adaptive quizzes for the AQA A-Level Further Mathematics specification.
Complete topic breakdowns, revision notes, exam practice questions, and adaptive quizzes for the AQA A-Level Further Mathematics specification.
Specification: 7367
This subject will help you develop key knowledge and skills required for exam success.
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AQA A-Level Further Mathematics is designed for students with a passion for mathematics who want to deepen their understanding beyond the standard A-Level Maths curriculum. It introduces advanced pure topics such as complex numbers, further calculus, and matrices, while also offering a choice of applied modules. This qualification is ideal for those aiming for degrees in mathematics, physics, engineering, or computer science, where strong analytical skills are essential.
The course is structured to develop logical reasoning, problem-solving, and abstract thinking. You will study pure mathematics in greater depth, covering areas like polar coordinates, hyperbolic functions, and differential equations. The applied component allows you to specialise in either Mechanics and Statistics or Discrete and Statistics, depending on your interests and career aspirations. Mechanics is perfect for future engineers and physicists, while Discrete suits those interested in computer science and algorithm design.
AQA’s specification is linear, meaning all exams are taken at the end of the two-year course. The content builds smoothly from A-Level Mathematics, ensuring a coherent learning journey. With a focus on clear, well-structured questions and supportive resources, AQA aims to make advanced mathematics both challenging and rewarding. The qualification is widely respected by universities and employers, opening doors to competitive STEM courses.
Assessment is entirely through written examinations, with three papers taken at the end of the course. Paper 1 and Paper 2 both cover pure mathematics and each lasts 2 hours, contributing 100 marks and 33.3% of the A-Level. Paper 3 is a 2-hour applied paper also worth 100 marks and 33.3%; students take either Option A (Mechanics and Statistics) or Option B (Discrete and Statistics). All papers are equally weighted, giving a total of 300 marks for the qualification.
Use and apply standard techniques Learners should be able to: • select and correctly carry out routine procedures • accurately recall facts, terminology and definitions
Reason, interpret and communicate mathematically Learners should be able to: • construct rigorous mathematical arguments (including proofs) • make deductions and inferences • assess the validity of mathematical arguments • explain their reasoning • use mathematical language and notation correctly
Solve problems within mathematics and in other contexts Learners should be able to: • translate problems in mathematical and non-mathematical contexts into mathematical processes • interpret solutions to problems in their original context, and, where appropriate, evaluate their accuracy and limitations • translate situations in context into mathematical models • use mathematical models • evaluate the outcomes of modelling in context, recognise the limitations of models and, where appropriate, explain how to refine them
Demonstrates comprehensive and accurate knowledge
Applies knowledge effectively to new contexts
Develops sophisticated analytical arguments
Give a single fact or term
Name, select, or recognise
Set out main features briefly
Give an account of what something is like or what happens
Give reasons with developed cause→effect chains
State similarities AND differences (both required)
Examine in detail showing cause→effect→consequence chains
Weigh up BOTH sides, reach JUSTIFIED conclusion
Make judgments about importance with justification
Show formula→substitution→calculation→answer with units
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