GCSE Physics Equations Sheet Explained: Every Formula You Need

One of the most reassuring facts about GCSE Physics is also one of the most misunderstood: you're given a printed equations sheet in the exam. The catch is that not every equation is on it — most exam boards expect you to memorise a shorter list of "core" equations, and mixing this up is one of the most common (and most avoidable) reasons students lose marks.

This guide breaks the full equations landscape into two clear groups — given equations and memorised equations — explains what each symbol actually represents in plain English, and shows you the simplest way to use them under exam pressure, whether you're sitting AQA, Edexcel, or OCR GCSE Physics, or the equivalent IGCSE Physics paper.

Given vs Memorised: The Distinction That Actually Matters

Every major exam board provides a physics equations sheet inside the exam paper — but this sheet typically only covers around half of the equations you're expected to know. The rest, usually the more foundational ones (like speed, density, and force), you're expected to recall from memory.

Many educators observe that students who lose marks here usually aren't confused by the physics — they simply didn't realise a "memorise list" existed separately from the "given list," and either try to memorise everything (wasting revision time) or assume everything is given (and freeze when it isn't on the sheet).

Roughly speaking, across AQA, Edexcel, and OCR:

• Given equations tend to be the more complex, less intuitive ones (e.g., equations involving GPE, EPE, or circular motion)
• Memorised equations tend to be the ones used constantly across multiple topics (e.g., speed, density, force = mass × acceleration)

Always check your specific board's official equations list, since the exact split varies slightly — but the pattern above holds across all three major boards. Keep in mind that we also cover these in detail in our Required Practicals Guide.

The Equations You're Almost Always Expected to Memorise

This is a representative core list — always cross-check against your own board's specification, since minor differences exist between boards and between foundation/higher tiers.

The Equations Usually Given to You (But You Must Know How to Use)

These typically appear printed on the exam paper itself, but knowing the formula isn't enough — you're still tested on substituting values correctly, rearranging, and interpreting the result:

• Gravitational Potential Energy = mass × gravitational field strength × height
• Elastic Potential Energy = ½ × spring constant × extension²
• Force on a spring = spring constant × extension (Hooke's Law)
• Moment = force × distance
• Pressure = force ÷ area
• Refractive index equations
• Circular motion / centripetal force equations (higher tier)

Common exam trap: students see the equation printed and assume the question is "easy," then lose marks by substituting the wrong values, mixing up units (e.g., using cm instead of m), or forgetting to square a value that needs squaring (like velocity in kinetic energy).

How to Rearrange a GCSE Physics Equation Without Panicking

Rearranging is where a lot of otherwise strong students lose marks, purely from unfamiliarity with algebra under pressure. A simple, reliable method:

1. Write the original equation first — always, even if you think you can skip it. This alone earns method marks even if the final answer is wrong.
2. Identify what you're solving for, and treat the equation like a balance — whatever you do to one side, do to the other.
3. Substitute the numbers last, only once the equation is rearranged into the form you need.

Formula triangles (where you cover the quantity you want to find and read off the remaining relationship) can help build early confidence, but many educators observe that students who rely on formula triangles into Year 11 often struggle with unfamiliar equations that don't fit the triangle pattern — real algebraic rearranging is a more transferable skill for higher grades.

Units: The Silent Mark-Loser

A huge number of "close but wrong" answers in GCSE Physics come down to units, not understanding. A few patterns worth knowing cold:

• Always convert to SI units before calculating (cm → m, g → kg, minutes → seconds)
• Forgetting to square or cube a unit correctly (e.g., density in kg/m³, not kg/m)
• Leaving a numerical answer without a unit — this almost always loses a mark, even with correct maths

Does Combined Science Use the Same Equations Sheet as Triple Science?

Largely yes, but Triple Science (separate Physics) students are typically expected to know a small number of additional equations beyond the Combined Science list — particularly around more advanced topics like circular motion, specific heat capacity in more depth, and some higher-tier-only content. If you're taking Triple Science, always revise from the Physics-only equations list specifically, not the Combined Science version, to avoid missing anything.

Case Study

The Gurukul 3-Pass Equations Revision Method

1. First pass — sort: split every equation into "given" and "must memorise" using your specific board's official list.
2. Second pass — meaning: for each equation, say out loud (or write) what every symbol represents and its unit, not just the formula shape.
3. Third pass — application: practise using each equation inside a real past-paper questions, not in isolation, since exam questions test application, not recall alone.

Frequently Asked Questions

Conclusion

The GCSE Physics equations sheet is meant to be a safety net, not a full answer key — and understanding exactly which equations you're expected to memorise, versus which will be handed to you, removes a surprising amount of exam-day anxiety. Once the sorting is done, the real skill is application: knowing what each symbol means, converting units correctly, and rearranging with confidence under time pressure. That combination, more than raw memorisation, is what turns equations from a stress point into one of the most reliably scorable parts of the paper.