AQA A-Level Mathematics
Explore your course, one topic at a time.
Explore your topics
22 study areas
Overarching themes3 subtopics
Pure mathematics10 topics
Proof
A: Proof4 objectivesAlgebra and functions
B: Algebra and functions33 objectivesCoordinate geometry in the (x, y) plane
C: Coordinate geometry in the (x, y) plane12 objectivesSequences and series
D: Sequences and series18 objectivesTrigonometry
E: Trigonometry28 objectivesExponentials and logarithms
F: Exponentials and logarithms21 objectivesDifferentiation
G: Differentiation21 objectivesIntegration
H: Integration25 objectivesNumerical methods
I: Numerical methods12 objectivesVectors
J: Vectors15 objectives
Statistics5 topics
Statistical sampling
K: Statistical sampling4 objectivesData presentation and interpretation
L: Data presentation and interpretation14 objectivesProbability
M: Probability10 objectivesStatistical distributions
N: Statistical distributions10 objectivesStatistical hypothesis testing
O: Statistical hypothesis testing9 objectives
Mechanics4 topics
Quantities and units in mechanics
P: Quantities and units in mechanics3 objectivesKinematics
Q: Kinematics15 objectivesForces and Newton’s laws
R: Forces and Newton’s laws18 objectivesMoments
S: Moments3 objectives
About this course
About AQA A-Level Mathematics
AQA A-Level Mathematics is a two-year linear course designed to deepen your understanding of mathematical concepts and their real-world applications. Building on GCSE knowledge, the specification is structured around three main themes: pure mathematics, mechanics, and statistics. Pure mathematics forms the backbone, covering topics such as algebra, functions, coordinate geometry, sequences, trigonometry, exponentials, calculus, and numerical methods. The applied components allow you to specialise in either mechanics (forces, motion, moments) or statistics (data handling, probability, distributions, hypothesis testing), giving you a taste of how mathematics is used in physics, engineering, and data analysis.
The course emphasises mathematical argument, language, and proof, encouraging you to think logically and communicate ideas clearly. It develops problem-solving skills that are highly valued by universities and employers. Throughout the two years, you will engage with increasingly sophisticated problems, many set in context, preparing you for further study in STEM, economics, social sciences, or any field requiring analytical thinking.
AQA’s specification is coherent and well structured, with three equally weighted exam papers at the end of the second year. The pure content is assessed across all papers, ensuring a thorough grounding, while the applied content is split over two papers. This linear approach means you build and connect knowledge over time, with no coursework to distract from mastering the core skills. The qualification is respected by higher education institutions and aligns with the latest government subject criteria for mathematics.
Assessment Structure
Assessment is entirely by written examination, with three papers taken at the end of the course. Paper 1 covers pure mathematics, Paper 2 covers pure mathematics and mechanics, and Paper 3 covers pure mathematics and statistics. Each paper lasts 2 hours, carries 100 marks, and accounts for one third of the final A-Level grade (total 300 marks). There is no coursework, and the qualification is linear, meaning all content is assessed at the end of the two years.
Why Choose AQA?
- AQA provides exceptional support materials, including past papers, mark schemes, and detailed examiners’ reports that help you understand what the examiners are looking for. Their resources are designed to build confidence and exam technique throughout the course.
- The specification has a strong focus on real-world applications, with mechanics and statistics modules that are directly relevant to university courses in science, engineering, economics, and data science. This practical approach helps you see the relevance of mathematics beyond the classroom.
- Many teachers and schools trust AQA because of its clear, accessible exam papers and consistent standards. The board’s question styles are known for being fair and well scaffolded, rewarding methodical working as well as correct answers. Additionally, the linear structure with final exams only means you have time to develop a deep understanding without the pressure of ongoing assessed coursework.
Frequently Asked Questions
How many exams are there in AQA A-Level Maths and what do they cover?
Can I resit individual AQA Maths papers if I don’t do well in one?
What is the difference between AQA and Edexcel A-Level Maths?
Do I have to do both mechanics and statistics, or can I choose one?
What calculator do I need for AQA A-Level Mathematics?
Assessment and exam guidance
Assessment Objectives
Use and apply standard techniques.
Reason, interpret and communicate mathematically.
Solve problems within mathematics and in other contexts.
Exam Structure
Paper 1: Pure mathematics
2h
Duration
100
Marks
33.33%
Weighting
Paper 2: Pure mathematics and mechanics
2h
Duration
100
Marks
33.33%
Weighting
Paper 3: Pure mathematics and statistics
2h
Duration
100
Marks
33.33%
Weighting
Tips and common mistakes
Common Exam Mistakes
Pitfalls to avoid in your exams
- •Treating an identity as an equation to be solved: for example, solving sin²θ + cos²θ = 1 for θ. Correction: an identity is true for all permitted values, so it is proved by manipulation, not solved.
- •Writing 'therefore' when only 'if' has been established, reversing the direction of an argument. Correction: check whether the converse is true; use 'if and only if' only when both directions hold.
- •Using 'equation' for any algebraic string, so that 5x + 3 is called an equation. Correction: an equation must contain an equals sign; 5x + 3 is an expression with terms 5x and 3, coefficient 5 and variable x.
- •Sketching a graph without labelling axes, intercepts or key points, so the diagram cannot support the deduction. Correction: annotate the sketch with the features the argument uses.
- •Reading f⁻¹(x) as 1/f(x). Correction: f⁻¹ is the inverse function, so f⁻¹(f(x)) = x where the inverse exists; the reciprocal is written 1/f(x) or [f(x)]⁻¹.
- •Dropping brackets when substituting, for example writing sin x + y for sin(x + y). Correction: brackets show the argument of the function; sin(x + y) is not generally sin x + sin y.
- •Confusing the equals sign with 'the next step is', so that 2x + 3 = 7 = 2x = 4. Correction: keep one equality per statement, or use implication arrows, so each line is true.
- •Misusing index notation, such as writing x² × x³ = x⁶. Correction: when multiplying powers of the same base, add the indices: x² × x³ = x⁵.
Top Examiner Tips
Expert advice for exam success
- •Before writing, decide whether a sketch or diagram will make the argument clearer; a labelled sketch often earns credit for structure as well as answer.
- •Use a short glossary check: name each symbol in your working as constant, coefficient, term, variable or index, and correct yourself if the label is wrong.
- •When a question says 'show that' or 'prove', write connected prose with reasons; when it says 'solve', an equation is expected and an identity would be inappropriate.
- •Leave a clear final statement that answers the question, since an unexplained answer can lose communication credit even when the arithmetic is right.
- •Write notation as you would read it aloud; if the line does not read as a true sentence, rewrite it before continuing.
- •Use brackets generously when substituting into functions, especially with negative numbers and fractions.
- •Check the meaning of any symbol before using it: for example, confirm whether a question uses degrees or radians, and whether a logarithm is base 10, base e or general.
- •In 'show that' questions, keep the given expression unchanged on one side and manipulate the other, so the syntax of the target statement is preserved.
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