What's actually in A-Level Maths?
Your child announces they're taking Maths at A-Level. You say something encouraging. Then, at some point over the following weeks, words like "mechanics" and "the large data set" start appearing in the conversation and it becomes clear nobody has actually told you what the course contains. Schools tend to assume parents know. Most don't, and there's no reason they should.
In this guide
Three strands, one qualification
A-Level Maths divides into pure mathematics, statistics and mechanics. Pure is roughly two thirds of the course; statistics and mechanics share the remaining third between them.
Here's the thing worth knowing straight away, because it's the assumption parents most often arrive with. There's no choice involved. Since the 2017 reform every student sitting A-Level Maths does exactly the same content: all the pure, all the statistics, all the mechanics.
If you sat A-Levels yourself in the modular era, you may remember picking modules, and friends taking different combinations. That's gone. One syllabus, everyone, everywhere.
Pure: most of the course
Pure is maths without a story wrapped round it. No cricket balls, no survey data, just the mathematics itself.
It contains the algebra your child already met at GCSE, taken considerably further, plus trigonometry, logarithms and exponentials, sequences and series, vectors, coordinate geometry, and formal proof. And calculus, which is the genuinely new arrival and the backbone of the whole thing.
Because it's two thirds of the marks, pure is where the grade is mostly won or lost. It's also cumulative in a way GCSE wasn't: the differentiation taught in the second half of Year 12 is assumed knowledge in Year 13, and a student who never quite got it doesn't get a fresh start. That's the mechanism behind most Year 13 struggles I see, and it's why keeping up matters more here than it did at GCSE.
Statistics, and the large data set
Statistics covers probability, distributions, sampling, correlation and hypothesis testing. It's the strand that feels most like a separate subject, and students tend to either take to it immediately or find it oddly slippery.
Then there's the large data set, which nobody warns families about.
Each board publishes a real dataset, usually weather data, and students are expected to have worked with it during the course. Exam questions then refer to it directly, assuming familiarity with what's in it and roughly what the numbers look like. A student who's never opened it can lose marks on questions they'd otherwise handle easily, purely because they don't know the context being referred to. It's an unusual thing to have to revise, and it's genuinely worth asking whether your child's class has spent time on it.
Mechanics, which is basically physics
Forces, motion, acceleration, Newton's laws. If that sounds like physics, that's because it is: mechanics is the maths of things moving, and it overlaps heavily with A-Level Physics.
Which produces a pattern worth flagging. Students taking both subjects often find mechanics the easy third, since they're meeting the same ideas twice from two directions. Students taking Maths without Physics sometimes find it the hardest part of the course, not because it's conceptually harder, but because everyone else in the room already has a feel for it.
If your child isn't taking Physics, mechanics is worth watching in Year 12. It's very learnable, but the head start in the room isn't imaginary.
What's genuinely new after GCSE
Three things arrive that have no real GCSE equivalent.
Calculus. Differentiation and integration, meaning rates of change and areas under curves. This is the single biggest new idea in the course and it appears everywhere, including inside mechanics and statistics questions.
Proof. Not "show that this works for these numbers" but demonstrating something is true in every case. It's a different kind of thinking, and it's often the first point at which a student who found GCSE easy has to genuinely stop and work.
Radians. A second way of measuring angles, which replaces degrees for most of the course. Small in itself, quietly disruptive, because every trigonometric fact your child knows has to be re-learned in the new units.
Everything else is GCSE material taken further and faster. That's the honest summary, and it's why the algebra foundation matters so much. I've written more about the size of that step in GCSE to A-Level Maths: how big is the jump?
If your child is starting in September: the most useful thing they can do over the summer isn't reading ahead. It's making GCSE algebra automatic, particularly rearranging, indices, surds and solving quadratics. A-Level assumes those without ever teaching them again, and every hour spent shoring them up now saves several in Year 12.
How the papers work
Three papers, each two hours, each worth 100 marks. All of them sat at the end of Year 13, with nothing from Year 12 banked along the way.
That last point catches families out. There's no AS grade contributing unless the school specifically enters students for one as a separate qualification. Year 12 exams are internal, they don't count towards the A-Level, and everything rests on three papers in one summer.
On Edexcel, papers 1 and 2 are pure and paper 3 splits into statistics and mechanics. Other boards distribute the applied content differently across the three, so AQA and OCR students will see a different arrangement, with the same totals and timings. The content is identical either way.
The bits students find hardest
Fairly consistently, in my experience: proof, trigonometric identities, and integration.
Proof, because it asks for something GCSE never did and there's no procedure to follow. Trig identities, because there are a lot of them and knowing which one to reach for is a judgement rather than a rule. Integration, because it's harder than differentiation in a way that isn't obvious at first, and it rewards pattern recognition built over months rather than anything that can be crammed.
None of these is a sign a student shouldn't be doing the course. All three are normal places to struggle, and all three respond well to being tackled early rather than in the spring of Year 13. If you want the honest picture of the difficulty overall rather than the content, is A-Level Maths hard? covers exactly that.
Common questions
What topics are covered in A-Level Maths?
The course splits into pure mathematics, about two thirds of it, plus statistics and mechanics. Pure covers calculus, algebra, trigonometry, logarithms, sequences, proof and vectors. Statistics covers probability, distributions, sampling and hypothesis testing. Mechanics covers forces, motion and Newton's laws, and is closest to physics.
Is statistics compulsory in A-Level Maths?
Yes. Since the 2017 reform the content is fixed for everyone: every student does both statistics and mechanics, with no optional modules to choose between. Parents who sat modular A-Levels often expect a choice here, and it no longer exists.
How many exam papers are there in A-Level Maths?
Three, each two hours and worth 100 marks, all sat at the end of Year 13. On Edexcel the first two are pure and the third is statistics and mechanics in two halves. Other boards spread the applied content differently, but the totals and timings match.