Foundation vs Higher tier: which equations differ
By Engr. Mehmood Kakar · Updated
Quick answer
On the AQA GCSE Physics (8463) equation sheet, 6 of the 35 equations are Higher tier only: p = hρg, p = mv, F = mΔv/Δt, F = BIl and the two transformer equations. Foundation papers lead to grades 1–5 and Higher papers to grades 4–9 (with a grade 3 allowed). Both tiers use the same equation sheet; the Higher-only equations are marked HT.
What the tiers are
GCSE Physics is taken at Foundation or Higher tier. You sit all your papers at the same tier. On AQA GCSE Physics (8463) both tiers have two papers of 1 hour 45 minutes, each worth 100 marks: Paper 1 covers energy, electricity, particle model and atomic structure; Paper 2 covers forces, waves, magnetism and space.
| Foundation | Higher | |
|---|---|---|
| Grades available | 1–5 | 4–9 (allowed grade 3) |
| Equation sheet | The same sheet, with Higher-only equations marked HT | |
| Questions | More short, structured steps | More multi-step and extended questions |
The 6 Higher-only equations
These are marked HT on AQA’s GCSE Physics sheet. Foundation students won’t need them.
| Equation | In words | Solver |
|---|---|---|
| p = h ρ g | pressure due to a column of liquid = height of column × density of liquid × gravitational field strength | Open |
| p = m v | momentum = mass × velocity | Open |
| F = m Δv / Δt | force = change in momentum ÷ time taken | Open |
| F = B I l | force on a conductor (at right angles to a magnetic field) carrying a current = magnetic flux density × current × length | Open |
| Vp / Vs = np / ns | p.d. across primary coil ÷ p.d. across secondary coil = turns on primary coil ÷ turns on secondary coil | Open |
| Vp Ip = Vs Is | p.d. across primary × current in primary = p.d. across secondary × current in secondary | Open |
Half-life calculations (working out the activity or net decline after several half-lives) are also Higher tier on AQA, even though half-life itself is taught at both tiers.
Physics-only equations
Separate from the tier, some equations are only in GCSE Physics and not in Combined Science: Trilogy. Combined Science students don’t need these:
- p V = constant Pressure and volume
- M = F d Moments
- p = F / A Pressure
- p = h ρ g Liquid pressure · also Higher tier only
- F = m Δv / Δt Force and momentum change · also Higher tier only
- magnification = hi / ho Magnification
- Vp / Vs = np / ns Transformer turns ratio · also Higher tier only
- Vp Ip = Vs Is Transformer power · also Higher tier only
Equations for both tiers
The other 29 equations on the sheet can come up at Foundation or Higher. Every one has a step-by-step solver; the interactive equation sheet can filter them by tier and course.
Which tier is right?
Your teacher decides your tier with you, usually after mocks. In general:
- Foundation suits students working towards grades 3–5. A grade 5 on Foundation is the top grade available, so a strong Foundation student can still get a good pass.
- Higher suits students aiming for grade 6 or above. There is a safety net of an allowed grade 3, but a student who scores below that gets a U, so it carries more risk for borderline students.
Whichever tier you take, the same skills earn the marks: picking the right equation, rearranging, converting units and setting out working. Practise those on the solvers and with how to show your working.
Frequently asked questions
What grades can you get in Foundation tier GCSE Physics?
Foundation tier papers give grades 1 to 5. Higher tier papers give grades 4 to 9, with an allowed grade 3 for students who narrowly miss grade 4. In Combined Science the equivalent ranges are 1-1 to 5-5 and 4-4 to 9-9.
Which equations are Higher tier only in AQA GCSE Physics?
Six: pressure due to a column of liquid (p = hρg), momentum (p = mv), force as rate of change of momentum (F = mΔv/Δt), force on a conductor (F = BIl), the transformer turns ratio and transformer power (VpIp = VsIs).
Do Foundation and Higher use the same equation sheet?
Yes. AQA prints one sheet with the Higher-only equations marked HT. Foundation students won’t be asked to use those.
Is v² − u² = 2as Higher tier?
No. On the AQA GCSE Physics equation sheet it is not marked HT, so it can appear on both tiers.