Uni-Sine
UK exams
UK examsGCSE

AQA GCSE Combined Science equation sheet (8464 and 8465): every equation

Published 4 min read

Papers reset in

Formula sheet

Press the card to sit today's Combined Science paper with this sheet beside it. The list is AQA's June 2027 Physics Equations Sheet, which both Trilogy and Synergy use, regrouped by topic.

Formula sheet

GCSE Combined Science Foundation

Open formula sheet

Energy

E_k=\frac{1}{2}mv^2kinetic energy = ½ × mass × speed²
E_e=\frac{1}{2}ke^2elastic potential energy (energy stored in a stretched spring) = ½ × spring constant × extension²
E_p=mghgravitational potential energy = mass × gravitational field strength × height
\Delta E=mc\Delta\thetachange in thermal energy = mass × specific heat capacity × temperature change
P=\frac{E}{t}power = energy transferred ÷ time
P=\frac{W}{t}power = work done ÷ time
\text{efficiency}=\frac{\text{useful output energy transfer}}{\text{total input energy transfer}}efficiency = useful output energy transfer ÷ total input energy transfer
\text{efficiency}=\frac{\text{useful power output}}{\text{total power input}}efficiency = useful power output ÷ total power input

Electricity

Q=Itcharge flow = current × time
V=IRpotential difference = current × resistance
P=VIpower = potential difference × current
P=I^2Rpower = current² × resistance
E=Ptenergy transferred = power × time
E=QVenergy transferred = charge flow × potential difference

Particle model of matter

\rho=\frac{m}{V}density = mass ÷ volume
E=mLthermal energy for a change of state = mass × specific latent heat

Forces and motion

W=mgweight = mass × gravitational field strength
W=Fswork done = force × distance moved in the direction of the force
F=keforce on a spring = spring constant × extension
s=vtdistance travelled = speed × time
a=\frac{\Delta v}{t}acceleration = change in velocity ÷ time taken
v^2-u^2=2asfinal velocity² − initial velocity² = 2 × acceleration × distance
F=maresultant force = mass × acceleration
p=mvmomentum = mass × velocity (Higher Tier only)

Waves

T=\frac{1}{f}period = 1 ÷ frequency
v=f\lambdawave speed = frequency × wavelength

Magnetism and electromagnetism

F=BIlforce on a conductor at right angles to a magnetic field = magnetic flux density × current × length (Higher Tier only)
V_pI_p=V_sI_sfor a 100% efficient transformer, primary potential difference × primary current = secondary potential difference × secondary current (Higher Tier only)

Combined Science and separate Physics

The separate GCSE Physics (8463) sheet has 35 equations. This one has 28. The Physics only extras are the moment of a force, pressure, the pressure due to a column of liquid, the gas equation pV = constant, force and change in momentum, magnification and the potential difference ratio for transformers. See the AQA GCSE Physics equation sheet guide for the full list.

Why Trilogy and Synergy share one sheet

AQA prints the same sheet for 8464 and 8465, headed "for use in June 2027 only". It runs to 28 equations, seven fewer than the separate Physics sheet. Missing are moments, pressure, the liquid column, pV = constant, magnification, F = mΔv/Δt and the transformer ratio, so a Combined question will never need them.

Not on it

  • Every number you need to substitute.
  • Units, which are expected in SI.
  • The chemistry papers' needs: they use a periodic table instead.
  • Words and symbols for efficiency: AQA prints two efficiency lines in words alone.

Worked example: period of a wave

Mains electricity has a frequency of 50 Hz. AQA's sheet carries the period line T = 1/f, which neither Edexcel nor OCR print.

T=\frac{1}{f}=\frac{1}{50}=0.02\ \text{s}

Worked example: power in a resistor

A current of 2.5 A flows through a resistor of 8.0 Ω. Both the P = VI and P = I²R lines are on the sheet, and the current and resistance are given, so use the second.

P=I^2R=2.5^2\times8.0=50\ \text{W}

Worked example: kinetic energy

A 0.60 kg ball moves at 4.0 m/s.

E_k=\frac{1}{2}mv^2=\frac{1}{2}\times0.60\times4.0^2=4.8\ \text{J}

Practise picking the right equation in our Laws of Motion course, then press Mark to check it there:

Choose the equation of motion that solves each problem.

Press Mark to have your answer marked in the Laws of Motion course.

After 2027

AQA says Ofqual's conditions from 2028 keep the sheets, with a clean copy in every paper and a ban on questions that can be answered by copying from them. For standard-demand questions that currently ask you to write down the equation linking the quantities, that is a real change. Read AQA's announcement. The separate Physics sheet is in our AQA GCSE Physics guide, and the other boards are in the Combined Science comparison.

Mock practice

Our daily Foundation and Higher papers are 8 questions worth 25 to 35 marks and are not AQA papers. Sit one against the clock.

Exam answers

When today's paper has been marked, a worked mark scheme and answers appear alongside it. They are written by us, and we do not host AQA's official answers.

Common questions

Which AQA papers give this sheet?
The physics papers in Combined Science: Trilogy (8464) and all of Synergy (8465).
How many equations does it have?
28, and 3 are HT.
Is there a period equation?
Yes, T = 1/f, only on AQA's Combined Science sheet among the boards we read.
Is the 2027 sheet new?
No, AQA says it is unchanged from 2026.
Are constants provided?
No, so read the question for g, c and L.

Revision cards

Say the answer first, then flip the card to check it.

Where to go next

  • Solve it

    Specific Heat Capacity Calculator

    Work out heating energy and specific and latent heat

    Open the tool
  • Learn it

    Laws of Motion

    Newton's laws, momentum, and the forces that shape our world

    Start the course
  • Test it

    GCSE Combined Science Foundation

    A new exam-style paper every day, with instant marking and a mark scheme

    Start today's paper
Read next
UK · GCSEGCSE Combined Science equation sheet: every boardThe GCSE Combined Science physics equation sheets for AQA, Edexcel and OCR compared: the 22 equations every sheet gives, and where they differ.