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A Level Notes

About These Notes

These notes are written with the rigour of an undergraduate textbook, but targeted at the Year 12–13 A Level syllabus. Every definition is precise, every theorem is proved (or its proof is sketched with enough detail for you to complete it), and every formula is derived from first principles.

The goal is not just exam preparation — it is to build the deep mathematical, physical, and logical intuition that makes exam questions feel like applications of things you truly understand.

Exam Boards Covered

BoardSpecificationNotes
AQA7356/7357 (Maths), 7407/7408 (Physics), 7516/7517 (CS), 7135/7136 (Econ)Content annotated where AQA diverges
Edexcel (Pearson)9MA0 (Maths), 9PH0 (Physics), 4CP1 (CS), 9EC0 (Econ)Content annotated where Edexcel diverges
OCR (A)H240 (Maths), H556 (Physics), H446 (CS), H460 (Econ)Content annotated where OCR diverges
Cambridge International (CIE)9709 (Maths), 9702 (Physics), 9618 (CS), 9708 (Econ)Content annotated where CIE diverges

Where boards agree on a topic (which is most of the pure content), you will find a single unified treatment. Where they diverge — in optional modules, specific formulae given in formula booklets, or assessment style — differences are noted in clearly labelled callouts.

How to Use These Notes

  1. Read the theory first. Each topic builds on previous ones. Follow the sidebar order.
  2. Work through the proofs. Don't skip them — understanding why a result holds is what separates grade A* students from the rest.
  3. Attempt the problem sets. Each topic ends with multi-step problems that test deep understanding, not just recall.
  4. Use the diagnostic tests. The final page of each subject contains a diagnostic question bank. Your pattern of wrong answers will tell you exactly which topics to revisit, with direct links.

Subjects

  • Mathematics — Pure mathematics, statistics, and mechanics
  • Physics — Mechanics, waves, electricity, fields, thermal, nuclear, and astrophysics
  • Computer Science — Fundamentals, data structures, algorithms, programming, and theory
  • Economics — Microeconomics and macroeconomics