Track further pure, mechanics, statistics and optional decision content. Align rows with your chosen WFM01–WFM03 combination and the 2026 International Advanced Level specification.
| Topic | Sub-Topic | Confidence (1–5) | Last Reviewed | Next Review |
|---|---|---|---|---|
| Further Pure Mathematics 1 | Proof and complex numbers | |||
| Further Pure Mathematics 1 | Matrices and transformations | |||
| Further Pure Mathematics 1 | Further algebra and functions | |||
| Further Pure Mathematics 1 | Further calculus: hyperbolic functions | |||
| Further Pure Mathematics 1 | Further calculus: integration techniques | |||
| Further Pure Mathematics 1 | Further vectors and 3D geometry | |||
| Further Pure Mathematics 2 | Further differential equations | |||
| Further Pure Mathematics 2 | Polar coordinates | |||
| Further Pure Mathematics 2 | Further series and limits | |||
| Further Pure Mathematics 2 | Further numerical methods | |||
| Further Pure Mathematics 2 | Inequalities and further proof | |||
| Further Mechanics 1 | Work, energy and power in advanced contexts | |||
| Further Mechanics 1 | Elastic collisions in two dimensions | |||
| Further Mechanics 1 | Circular motion and vertical circles | |||
| Further Mechanics 1 | Further centres of mass | |||
| Further Mechanics 1 | Further momentum and impulse | |||
| Further Statistics 1 | Discrete and continuous distributions | |||
| Further Statistics 1 | Poisson and geometric distributions | |||
| Further Statistics 1 | Chi-squared tests | |||
| Further Statistics 1 | Quality of tests and estimators | |||
| Further Statistics 1 | Regression and correlation | |||
| Further Statistics 2 / Decision (if selected) | Further hypothesis testing | |||
| Further Statistics 2 / Decision (if selected) | Non-parametric tests | |||
| Further Statistics 2 / Decision (if selected) | Algorithms on graphs (decision maths route) | |||
| Further Statistics 2 / Decision (if selected) | Critical path and linear programming | |||
| Further Statistics 2 / Decision (if selected) | Game theory and networks (where applicable) |
Use with our Past Paper Finder for Further Mathematics past papers.
Quick answers about this free revision checklist, how to use it for exam prep, and how it relates to the official syllabus.
This revision checklist mirrors the official Pearson Edexcel International A Level Further Mathematics XFM01 syllabus for the 2026 examination series. Every topic and sub-topic on the page is taken from the published syllabus document, so working through the list in order gives you full coverage of what your exam can assess. It is aligned to the A Level tier expectations. For the authoritative version, always cross-check with the latest syllabus PDF on your exam board's website before your final revision push.
The number of top-level topic groups varies by subject, but you can see the exact count on this page — each major heading in the checklist corresponds to one syllabus topic group, and each row below it is a syllabus-level sub-topic. Use the confidence column (1–5) to flag which sub-topics need more work, and re-score yourself weekly to track real progress instead of guessing.
12–16 weeks of focused revision, working through one topic group per week with weekly past-paper practice, is a realistic target for most A Level students. Use this checklist to plan your weeks: filter by topics you have rated 1–3 and spend your first revision block there. Subjects with heavy practical or extended-writing components (e.g. sciences, English) need more past-paper time in the final block than the topic-by-topic phase.
Revise in roughly the order the syllabus lists the topics — exam boards build later topics on earlier ones, so taking them in syllabus order avoids gaps. Once you have rated every topic, switch to weakest-first: filter the checklist by confidence ≤ 2 and prioritise those topics in your next study block. This is more effective than re-revising topics you already score 4–5 on.
You can find past papers and mark schemes via Tutopiya's Past Paper Finder and on your exam board's official site. Once you have rated each sub-topic on this checklist, attempt past-paper questions on your weakest topics first — practising under timed conditions is the single best predictor of exam performance, more so than re-reading notes.
Use the Download CSV or Print PDF button at the bottom of the checklist. CSV opens in Excel, Numbers or Google Sheets so you can sort by confidence and re-arrange revision order. The PDF is print-ready for offline use. A free Tutopiya account is required for download — this also unlocks the matching topic resources, notes and worked examples on the Learning Portal.
Yes, the checklist itself is free — you can view, score and re-score every topic on this page without an account. The CSV / PDF downloads and access to matching Tutopiya Learning Portal resources require a free account. There is no payment required at any point; teachers and parents can also use this checklist freely with their students.
Yes. The topics and sub-topics on this page are drawn from the current 2026 Pearson Edexcel International A Level Further Mathematics XFM01 specification published by Pearson Edexcel. Exam boards occasionally tweak weighting or assessment structure mid-cycle, so do a quick sanity-check against the official syllabus PDF when you start your revision and again 4 weeks before the exam.