GCSE Maths Formula Sheet: What's Given vs What You Must Memorise

One of the most common revision mistakes in GCSE Maths isn't a content gap at all — it's memorising formulas that are handed to students in the exam room, while under-revising the ones that aren't. Since the formula sheet ("exam aid") was introduced, all three major boards — AQA, Edexcel, and OCR — provide students with a printed list of selected formulas inside every Maths paper. But the sheet is shorter than most students expect, and several formulas widely assumed to be on it actually aren't.

This guide sets out exactly what's given, what still needs to be memorised, and how this differs between Foundation and Higher tier — so revision time goes where it's actually needed.

Is There Really a Formula Sheet for GCSE Maths?

Yes. Every major exam board provides an official formula sheet (sometimes called an "exam aid" or, for OCR, formulas embedded directly within relevant questions rather than a separate printed sheet) in every GCSE Maths paper — non-calculator and calculator alike. It was introduced as a support measure and has since been confirmed to continue for the lifetime of the current GCSE Maths specifications, so it applies across the current exam series.

Important: having the formula sheet does not mean a formula can be used without understanding it. The sheet removes the memorisation burden, not the need to know when and how to apply each formula — which is where most exam marks are actually lost or gained.

What's Given on the Formula Sheet

The content is broadly consistent across AQA, Edexcel, and OCR, with only minor formatting differences (OCR presents formulas within the question itself rather than as a standalone sheet).

*Foundation tier does not include topics like the sine/cosine rule or quadratic formula at all, which is why they don't appear on the Foundation sheet.*

What's NOT Given — and Must Be Memorised

This is the list that matters most for revision planning, since these are the formulas students most often assume (incorrectly) are provided:

• Area of a circle (πr²) and circumference of a circle (πd or 2πr)
• Basic area formulas — rectangle, triangle (½ × base × height), parallelogram
• Volume and surface area of a sphere
• Volume and curved surface area of a cone
• Volume of a cylinder
• Nth term of a linear and quadratic sequence
• Standard form conventions
• Basic percentage, ratio, and proportion methods
• Angle facts and circle theorem statements (for details, check circle theorems and trigonometry rules)

Does the Formula Sheet Differ Between AQA, Edexcel, and OCR?

The core content is very similar across all three boards, since Ofqual sets the overall approach to which formulas are provided nationally. The main practical difference is presentation: AQA and Edexcel provide a separate printed formula sheet, while OCR tends to embed the relevant formula directly within the question that needs it, rather than as a standalone reference page.

Students should always download and practice with their specific board's official published version, since minor layout and phrasing differences can affect how quickly a formula is found under time pressure.

How to Actually Use the Formula Sheet in Revision

• Get familiar with the layout early, not for the first time in the exam. Practice past papers using the actual sheet, so locating the right formula becomes automatic rather than a time cost.
• Treat "given" as "must still understand," not "can skip." A formula sheet only helps if the student already knows which formula a question requires — that recognition skill still has to be practiced.
• Build a clean, personal "must memorise" list from the formulas confirmed not to be on the sheet, and revise that list specifically, rather than revising formulas broadly without distinguishing given vs memorised.
• Re-check the official board-published sheet each year. While the sheet's format has stayed broadly consistent, official confirmations are published by each board, and relying on secondhand summaries is no substitute for checking the current official version before exams.

Frequently Asked Questions

Conclusion

The GCSE Maths formula sheet genuinely reduces the memorisation load — but only for a specific, fairly short list of formulas: trapezium area, prism volume, compound interest, Pythagoras' theorem and basic trig ratios on both tiers, plus the quadratic formula, sine/cosine rules, and probability rules on Higher tier. Everything else — including circle area and circumference, sphere and cone volume, and basic area formulas — still needs to be memorised properly.