Revision sheets
One printable sheet per unit: every subtopic with what the exam actually asks of it, and the claims that feel true and are not. Built for the week before, when there is no time left to read a chapter.
Free, no account. Print them, keep them, send them to whoever is sitting the paper with you.
Unit 1 · ~60 marks
Analysis & Linear Algebra
30 subtopics · 35 counterexamples
Open the sheetUnit 2 · ~50 marks
Complex Analysis, Algebra & Topology
24 subtopics · 26 counterexamples
Open the sheetUnit 3 · ~45 marks
ODE, PDE & Applied Mathematics
16 subtopics · 12 counterexamples
Open the sheetUnit 4 · ~45 marks
Probability, Statistics & Linear Programming
15 subtopics · 13 counterexamples
Open the sheetWhat is on a sheet
Every subtopic, with what the exam wants
Not a syllabus list — each line says what the paper has actually asked of that subtopic, which is the part a textbook contents page cannot tell you.
The claims that look true
The standard counterexamples for that unit, printed beside the topic they belong to, so the trap and the material sit on the same page.
Built to be printed and passed on
One unit per sheet, no account, no watermark. Ctrl/⌘+P and Save as PDF is the whole workflow.
Nothing on a sheet is newly written: every line is assembled from material already published and checked — the exam-focus notes on the syllabus map and the counterexample bank. The value is the arrangement, and how it is checked says what that verification does and does not cover.
Want the whole syllabus as a tick-list instead? The printable checklist covers all four units on one page.