Every GCSE Maths exam paper (AQA, Edexcel, OCR, WJEC) includes a printed formula sheet on its front or back pages, covering formulas such as the quadratic equation, trigonometric ratios, volume of a sphere and compound interest. Students should identify each formula on the sheet before the exam, since the sheet lists what's provided but assumes fluent use — anything not listed must be memorised.
What is the GCSE Maths formula sheet?
Every major exam board — AQA, Edexcel, OCR and WJEC — prints a formula sheet on the front cover or an inside page of each GCSE Maths exam paper. It's the same sheet across Paper 1 (non-calculator) and Papers 2 and 3 (calculator), and it's identical for Foundation and Higher tier candidates, though Higher papers use more of the formulas on it.
The sheet exists because exam boards accept that some formulas are too long or too easy to mistype under pressure to expect perfect recall — but it is not a substitute for understanding. Students still need to know which formula to select and how to substitute values into it correctly.
What formulas are given in GCSE Maths?
Across the major boards, the provided formula sheet typically includes:
- Quadratic equation formula: the solution to ax² + bx + c = 0
- Compound interest formula: for percentage growth/decay problems
- Sine rule and cosine rule: for non-right-angled triangles
- Area of a triangle using ½ab sin C
- Volume and surface area of a sphere: (4/3)πr³ and 4πr²
- Volume and curved surface area of a cone: (1/3)πr²h and πrl
- Cumulative frequency guidance: median and quartile reading conventions
- Kinematics formulas (Higher tier only, some boards): suvat-style formulas for constant acceleration
Foundation tier papers include a shorter version of the sheet, since content like the sine/cosine rule and sphere/cone formulas doesn't appear at Foundation level.
Which formulas must be memorised?
This is the part students consistently underestimate. The GCSE Maths specification (all boards, set under the Ofqual-regulated national curriculum) lists a much longer set of formulas that students are expected to know without the sheet. These typically include:
| Category | Examples students must memorise |
|---|---|
| Area and perimeter | Area of a circle (πr²), circumference (2πr or πd), area of a trapezium |
| Volume | Volume of a cuboid, prism, cylinder (πr²h) |
| Pythagoras and trigonometry | a² + b² = c², SOH CAH TOA for right-angled triangles |
| Algebra | Expanding brackets, factorising, difference of two squares |
| Number | Percentage change, simple interest, standard form rules |
| Straight-line graphs | Gradient = change in y ÷ change in x, y = mx + c |
| Probability | P(A) + P(not A) = 1, probability from Venn diagrams |
The rule of thumb examiners use: if a formula is short, commonly used across many topics, or something a student "should" derive from basic principles, it is left off the sheet deliberately — including it would make the sheet unusably long and would reward recognition over understanding.
How to use the formula sheet effectively — step by step
- Get a copy early. Every exam board publishes the exact formula sheet as a PDF on its GCSE Maths subject page months before the exam. Print it and keep it visible during revision — don't wait until exam week to see it for the first time.
- Highlight what's new to you. Go through the sheet and mark any formula you don't already know cold. These are the ones to practise recognising and applying, not memorising from scratch.
- Practise finding formulas fast. In timed past papers, deliberately flip to the formula sheet the moment a question needs the sine rule, cosine rule, or sphere volume — build the habit of checking rather than guessing.
- Build your own "not on the sheet" list. Write out every formula from the table above on a single revision card. This becomes the genuine memory-test list, separate from the formula sheet.
- Check units and variable meanings. The sheet states formulas using letters (r, h, l, a, b, c) without always explaining what each represents in the diagram — practise matching sheet notation to labelled diagrams in past papers.
- Rehearse substitution, not just recall. Knowing the volume of a sphere formula is useless if a student can't correctly substitute a radius from a diameter given in the question. Most marks are lost in substitution and rearrangement, not in recalling the formula itself.
Foundation vs Higher tier differences
Higher tier students get access to the full sheet, including the sine rule, cosine rule, kinematics formulas (where used) and sphere/cone formulas, because these topics only appear on Higher papers. Foundation tier students receive a shorter sheet limited to formulas relevant to the Foundation specification — quadratic formula is typically Higher-only on some boards, so check the specific board's tier arrangements via the specification document.
Frequently asked questions
What formulas are given in GCSE Maths exams?
The provided sheet typically includes the quadratic formula, compound interest formula, sine and cosine rules, area of a triangle using sine, and the volume/surface area formulas for spheres and cones. The exact list varies slightly by exam board (AQA, Edexcel, OCR, WJEC), so always check the specific board's published formula sheet.
Which formulas do I need to memorise for GCSE Maths?
Students must memorise formulas not printed on the sheet, including the area of a circle, circumference, Pythagoras' theorem, trigonometric ratios (SOH CAH TOA), volume of a cuboid, cylinder and prism, and basic percentage and algebra rules. These are considered foundational skills rather than facts to look up.
Is the formula sheet the same for Foundation and Higher tier?
No. Higher tier papers include additional formulas — such as the sine rule, cosine rule and sphere/cone formulas — that don't appear on Foundation papers, because those topics aren't examined at Foundation level. Both versions are published by each exam board alongside past papers.
Where can I find the official GCSE Maths formula sheet?
Each exam board (AQA, Edexcel, OCR, WJEC) publishes its formula sheet as a free PDF on its GCSE Mathematics subject page, usually alongside specimen and past papers. Downloading the correct board's version early in revision avoids confusion, since minor layout and formula inclusions differ between boards.
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