GCSE Maths Formula Sheet
Every formula you need for AQA, Edexcel and OCR — in one printable PDF. Download it, pin it to your wall, and never forget a formula again.
Quick Reference
Here are the key formulas from the sheet. Download the full PDF above for the complete list with diagrams.
Area & Perimeter
- •Area of rectangle = length × width
- •Area of triangle = ½ × base × height
- •Area of parallelogram = base × height
- •Area of trapezium = ½(a + b) × h
- •Area of circle = πr²
- •Circumference = 2πr = πd
Volume & Surface Area
- •Volume of cuboid = l × w × h
- •Volume of prism = area of cross-section × length
- •Volume of cylinder = πr²h
- •Volume of sphere = ⁴⁄₃πr³
- •Volume of cone = ⅓πr²h
- •Surface area of sphere = 4πr²
Algebra
- •Quadratic formula: x = (−b ± √(b²−4ac)) / 2a
- •Difference of two squares: a² − b² = (a+b)(a−b)
- •Gradient = (y₂ − y₁) / (x₂ − x₁)
- •Equation of a line: y = mx + c
- •nth term (arithmetic): a + (n−1)d
Trigonometry & Pythagoras
- •Pythagoras: a² + b² = c²
- •sin θ = opposite / hypotenuse
- •cos θ = adjacent / hypotenuse
- •tan θ = opposite / adjacent
- •Sine rule: a/sin A = b/sin B = c/sin C
- •Cosine rule: a² = b² + c² − 2bc cos A
- •Area of triangle = ½ab sin C
Probability & Statistics
- •Probability = favourable outcomes / total outcomes
- •P(A or B) = P(A) + P(B) − P(A and B)
- •P(not A) = 1 − P(A)
- •Mean = sum of values / number of values
- •Compound interest: A = P(1 + r/100)ⁿ
Compound Measures
- •Speed = distance / time
- •Density = mass / volume
- •Pressure = force / area
How to use this formula sheet
- 1. Print it out and stick it on your bedroom wall or inside your revision folder.
- 2. Test yourself — cover the right side and try to recall each formula from memory.
- 3. In the exam, some formulas are given on the front page (area of trapezium, volume of prism, etc.) but many are not. Learn the ones that are NOT given.
- 4. Use our practice questions to apply each formula in exam-style contexts.
Which formulas are given in the exam?
AQA, Edexcel and OCR all provide a formula sheet on the front page of the exam paper. The formulas they give you are:
GIVEN IN THE EXAM
- • Area of trapezium
- • Volume of prism
- • Quadratic formula (Higher)
- • Sine rule, Cosine rule (Higher)
- • Area = ½ab sin C (Higher)
- • Volume of cone and sphere (Higher)
NOT GIVEN — MUST MEMORISE
- • Area of circle, triangle, parallelogram
- • Circumference of a circle
- • Pythagoras' theorem
- • SOH CAH TOA
- • Speed = distance / time
- • Density = mass / volume
- • Compound interest formula
- • y = mx + c
Know the formulas? Now apply them.
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Related resources
GCSE Maths Formulas You Must Know
In-depth guide explaining when and how to use each formula
All 73 GCSE Maths Topics
Step-by-step explanations and worked examples for every topic
7-Day Revision Plan
Structured revision timetable to cover everything before the exam
Download Past Papers
Free AQA past paper PDFs to print and practise