Formula Sheets for GCSE and A-Level
Essential formula sheets and equation references for your Maths and Science exams. Know what's on the sheet, what you need to memorise, and how to use them effectively under exam conditions.
GCSE Formula Sheets
GCSE Maths Formula Sheet
Provided in all GCSE Maths exams. Covers area and volume formulas, Pythagoras' theorem, trigonometry (sin, cos, tan), quadratic formula, circle theorems, and probability rules.
What you still need to memorise: Basic arithmetic, fractions, percentages, speed = distance/time, simple shape areas.
Read full guide →GCSE Physics Equation Sheet
All GCSE Physics equations provided. Includes mechanics (F=ma, W=Fd), electricity (V=IR, P=IV, E=VIt), energy (KE, GPE, efficiency), waves, and atomic physics formulas.
What you still need to memorise: Units, how to rearrange equations, which formula applies to which scenario.
Read full guide →GCSE Chemistry Formula Sheet
Key chemistry calculations provided including relative formula mass (Mr), moles (n = m/Mr), concentration (mol/dm³), percentage yield, atom economy, and titration calculations.
What you still need to memorise: Common ions and formulae, balancing equations, reaction types, trends in the periodic table.
Read full guide →A-Level Formula Sheets
A-Level Maths Formula Booklet
Comprehensive formula booklet provided. Covers pure maths (binomial expansion, differentiation, integration), mechanics (SUVAT, forces, moments), and statistics (distributions, hypothesis testing).
Read full guide →A-Level Further Maths Formula Booklet
Extended formula booklet for Further Maths. Includes complex numbers, matrices, differential equations, hyperbolic functions, advanced mechanics, and decision maths.
Read full guide →A-Level Physics Data Sheet
Comprehensive data and formulae booklet. Covers mechanics, materials, waves, electricity, fields (gravitational, electric, magnetic), quantum physics, and nuclear physics equations.
Read full guide →A-Level Chemistry Data Booklet
Full data booklet provided. Includes physical constants, formulae (thermodynamics, kinetics, equilibria), standard electrode potentials, infrared absorption data, and NMR chemical shifts.
Read full guide →How to Use Formula Sheets Effectively
Know what IS and ISN'T on the sheet
The biggest mistake students make is assuming everything is on the formula sheet. Basic formulas like speed = distance/time, density = mass/volume, and simple area calculations are usually NOT provided. Download the official formula sheet from your exam board early in your revision and highlight what you need to memorise separately.
Practice navigating the sheet under timed conditions
During the exam, time pressure is real. You need to be able to find the formula you need quickly - within 5-10 seconds. Practice doing past papers with the formula sheet beside you. Note which formulas you look up most often and where they are on the sheet. Consider lightly annotating the sheet during revision (but remember you can't bring your annotated version into the exam).
Memorise derived relationships anyway
Even if a formula is on the sheet, knowing it by heart saves precious time. For example, while V=IR is provided in Physics, you should automatically know that R=V/I and I=V/R without having to look it up or rearrange. The same applies to Maths - know your trigonometric identities, not just where to find them.
Use the sheet to check, not to learn from scratch
The formula sheet is a safety net, not a teaching tool. If you're seeing a formula for the first time in the exam, you won't know when to apply it or how to use it correctly. Learn every formula during revision, understand what each variable represents, and practice applying it in different contexts. Then use the sheet in the exam as a quick reference to confirm you've remembered correctly.
Understand the conditions and limitations
Many formulas only apply in specific situations. For example, SUVAT equations in Physics only work for constant acceleration. The binomial expansion formula in Maths has conditions on the value of n. The formula sheet doesn't tell you these conditions - that's knowledge you need to bring to the exam. Make sure you know not just the formula, but when and how to use it.
Official Exam Board Websites
Download links above go directly to official PDFs. For other subjects or WJEC, visit the exam board websites below.
Frequently Asked Questions
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More Exam Resources
Practice applying formulas with UpGrades
Knowing the formula is one thing - applying it correctly under exam conditions is another. UpGrades gives you unlimited practice with adaptive questions that help you master when and how to use every formula.
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