Free Cambridge A Level Maths Notes (9709): Topic-by-Topic
You can get free Cambridge A Level Maths notes for every 9709 topic on the Tutopiya Learning Portal, with a quiz for each topic. The table below links each topic straight to its notes and quiz, and marks whether it is AS or A Level content. Use the notes to learn the content, then check yourself with the quiz and past papers.
Key takeaways
- Free topic notes and quizzes for Cambridge International A Level Mathematics (9709) are below, in syllabus order.
- Check which papers or units you are entered for before revising.
- Notes alone rarely secure an A or A*. Combine them with active recall and timed past papers.
- Other free sources, such as ZNotes and Physics & Maths Tutor, work well alongside the portal.
9709 at a glance
| Paper | Level | What it covers |
|---|---|---|
| Paper 1: Pure Mathematics 1 | AS and A Level | Quadratics, functions, coordinate geometry, circular measure, trigonometry, series, differentiation, integration |
| Paper 2: Pure Mathematics 2 | AS only | Logarithms, trigonometry, differentiation and integration for the P1 + P2 AS route |
| Paper 3: Pure Mathematics 3 | A Level | Algebra, logarithms, trigonometry, differentiation, integration, numerical solutions, vectors, differential equations, complex numbers |
| Paper 4: Mechanics | AS or A Level | Forces and equilibrium, kinematics, momentum, Newton’s laws, energy, work and power |
| Paper 5: Probability and Statistics 1 | AS or A Level | Data representation, permutations and combinations, probability, discrete random variables, the normal distribution |
| Paper 6: Probability and Statistics 2 | A Level | Poisson distribution, linear combinations, continuous random variables, sampling and estimation, hypothesis tests |
For the full A Level, students sit Papers 1 and 3 plus either Papers 4 and 5, or Papers 5 and 6. AS students sit Paper 1 plus Paper 2, 4 or 5.
Free Cambridge A Level Maths notes by topic
| Topic | Level | Covers | Free notes | Start a quiz |
|---|---|---|---|---|
| Pure Mathematics 1 - Paper 1 | AS and A Level | Quadratics, Functions, Coordinate geometry, Circular measure, Trigonometry, Series and 2 more | Free notes | Quiz |
| Pure Mathematics 2 - Paper 2 | AS only | Algebra, Logarithmic and exponential functions, Trigonometry, Differentiation, Integration, Numerical solution of equations | Free notes | Quiz |
| Pure Mathematics 3 - Paper 3 | A Level | Algebra, Logarithmic and exponential functions, Trigonometry, Differentiation, Integration, Numerical solution of equations and 3 more | Free notes | Quiz |
| Mechanics - Paper 4 | AS or A Level | Forces and Equilibrium, Kinematics of motion in a straight line, Momentum, Newton’s laws of motion, Energy, work and power | Free notes | Quiz |
| Probability and Statistics 1 - Paper 5 | AS or A Level | Representation of data, Measures of Central Tendency and Variation, Permutations and Combinations, Probability, Discrete Random Variables, The Normal distribution | Free notes | Quiz |
| Probability and Statistics 2 - Paper 6 | A Level | The Poisson distribution, Linear combinations of random variables, Continuous random variables, Sampling and estimation, Hypothesis tests | Free notes | Quiz |
The whole syllabus is on the Cambridge International A Level Mathematics portal page. Not sure where to start? Try the diagnostic challenge to find your weakest topics first.
What good Maths notes look like
- Worked examples beat summaries. Maths notes are only useful if each method has a fully worked example you can redo without looking.
- Keep a formula list separate from the methods. The formula list (MF19) is provided in the exam, so learn when to use each result, not just what it says.
- Organise by paper. Each paper is examined separately, so notes for P1, P3 and your applied papers should stay separate.
How to revise with free notes
- Start from the syllabus. Tick off each topic in the table as you finish its notes.
- Read, then close the notes. Write down everything you remember, then check what you missed.
- Take the topic quiz. A quick quiz after each topic shows whether the content has stuck.
- Move to past papers. Practise exam questions for that topic, then full timed papers closer to the exam.
- Mark with the mark scheme. Compare your wording with the mark scheme and add missing key terms to your notes.
Common mistakes
- Revising Paper 3 before Paper 1 methods are secure
- Reading worked solutions instead of attempting the question first
- Ignoring accuracy instructions (3 significant figures, exact form)
Other free Maths sources
- ZNotes: free, condensed student-written notes for many Cambridge A Level subjects. See our ZNotes alternatives for A Level.
- Physics & Maths Tutor (PMT): free notes and topic questions for many subjects. See PMT alternatives for A Level.
- Past papers: free from the exam board and archive sites. See PapaCambridge alternatives for A Level.
- Your exam board: the syllabus or specification, specimen papers and examiner reports show exactly what is assessed.
Topic deep dives on our blog
- Energy, Work And Power in Cambridge International A Level Mathematics (9709)
- Functions in Cambridge International A Level Mathematics (9709)
- Vectors in Cambridge International A Level Mathematics (9709)
When notes aren’t enough
If the same topics keep costing marks, a one-to-one tutor who teaches 9709 can find the gap quickly. Tutopiya tutors set their own rates, plans start from 4 hours a month, and the trial lesson is free with no card required.
Related
- Save My Exams alternative for Cambridge A Level Maths
- 9709 exam trends
- Cambridge International A Level Mathematics grade boundaries
- Free A Level notes for every subject
- Websites like Save My Exams for A Level
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Frequently asked questions
Where can I get free Cambridge A Level Maths notes? +
The Tutopiya Learning Portal has free notes and a quiz for every 9709 topic, linked in the table on this page. ZNotes, Physics & Maths Tutor and the exam board's own materials are other useful free sources.
Which papers do I need notes for in Cambridge A Level Maths? +
It depends on your route. Full A Level students sit Papers 1 and 3 plus Papers 4 and 5, or Papers 5 and 6. Ask your school which route you are entered for and focus your notes on those papers.
Are free notes enough for an A* in Cambridge A Level Maths? +
Rarely on their own. Use notes to learn the content, then test yourself with quizzes and timed past papers, and compare your answers with mark schemes.
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