Kinetic energy
m mass (kg), v speed (m/s).
E_k = ½ m v² IB Middle Years Programme 2026
Essential formulas for mechanics, energy, waves, electricity, and magnetism across MYP Years 1-5.
Our formula sheets are free to download — save this one as PDF for offline revision.
Aligned with the latest 2026 syllabus and board specifications. This sheet is prepared to match your exam board’s official specifications for the 2026 exam series.
This formula sheet covers fundamental physics relationships from MYP Years 1-5, helping you solve problems and understand how the physical world works.
Mechanics formulas
Energy relationships
Wave equations
Electricity basics
Mechanical energy, work done, power, and efficiency.
m mass (kg), v speed (m/s).
E_k = ½ m v² g ≈ 9.8 N/kg near Earth’s surface, h height (m).
E_p = m g h k spring constant (N/m), e extension (m).
E_e = ½ k e² F force (N), d distance (m), θ angle between F and motion.
W = F d cos θ Energy or work per unit time.
P = E / t P = W / t Useful output compared to total input.
Efficiency = (useful energy out / total energy in) × 100% ΔE_p for change in height.
ΔE_p = m g Δh Topic Focus
Energy stores
Charge, current, voltage, resistance, and electrical power.
I current (A), Q charge (C), t time (s).
Q = I t Energy transferred per unit charge.
V = W / Q V voltage (V), I current (A), R resistance (Ω).
V = I R Alternative forms from Ohm’s law.
P = V I P = I² R P = V² / R E energy (J), t time (s).
E = P t = V I t Total resistance.
R_total = R₁ + R₂ + … Two resistors.
1/R_total = 1/R₁ + 1/R₂ V_out across R₂.
V₂ = V_supply × R₂ / (R₁ + R₂) Topic Focus
Circuit reasoning
Speed, acceleration, Newton’s laws, weight, momentum, and turning effects.
Average values.
speed = distance / time velocity = displacement / time a (m/s²), v final, u initial, t time.
a = (v − u) / t s displacement, u, v, a, t.
v = u + a t s = u t + ½ a t² v² = u² + 2 a s s = ½ (u + v) t Newton’s second law.
F = m a W (N), m (kg), g (N/kg).
W = m g p (kg m/s).
p = m v Impulse and rate of change of momentum.
F = Δp / Δt Impulse = F Δt = Δp d perpendicular distance from pivot (m).
moment = F × d p (Pa), F normal force (N), A area (m²).
p = F / A ρ (kg/m³), m mass, V volume.
ρ = m / V Topic Focus
Vectors & diagrams
Wave speed, EM spectrum context, reflection and refraction.
v (m/s), f (Hz), λ (m).
v = f λ T (s), f (Hz).
T = 1 / f Angle in vacuum or air approximations often use n.
n = c_air / v_material (definition form) Angles to the normal.
n₁ sin θ₁ = n₂ sin θ₂ Light from denser to rarer medium.
sin C = 1 / n (air to glass approximations) Topic Focus
Waves
Specific heat, latent heat, and ideal gas relationships used at GCSE.
Q (J), m (kg), c (J/kg°C), ΔT change in temperature.
Q = m c ΔT Change of state at constant temperature.
Q = m L n moles, R constant, T kelvin.
p V = n R T Boyle’s law.
p₁ V₁ = p₂ V₂ Topic Focus
Thermal calculations
Exponential decay and astronomical distances.
Activity or count rate halving time.
N = N₀ × (½)^(t / t½) (conceptual form) Decay constant λ, t time.
N = N₀ e^(−λ t) (higher-tier / extension) v recessional speed, d distance, H constant.
v = H₀ d Topic Focus
Nuclear & stars
Boost your Cambridge exam confidence with these proven study strategies from our tutoring experts.
Always include units in calculations. Common units: m/s (speed), N (force), J (energy), W (power).
Sketch situations before calculating. Diagrams help identify forces, directions, and relationships.
Quick answers about this free PDF, how to use it for exam revision, and how it relates to your official syllabus.
Yes. This Tutopiya formula sheet is free to use and you can download it as a PDF from this page for offline revision. There is no payment or account required for the PDF download.
This page groups key Physics formulas in one place for revision. Essential IB Middle Years Programme Physics formulas covering mechanics, energy, waves, electricity, and magnetism for MYP Years 1-5 (ages 11-16). Always cross-check with your official syllabus and past papers for your exam session.
No. In the exam you must follow only what your exam board allows in the hall—usually the official formula booklet or data sheet where provided. This page is a revision and teaching aid, not a replacement for board-issued materials.
It is written for students preparing for assessments at Middle School in Physics, including classroom revision, homework support, and independent study. Teachers and tutors can also share it as a quick reference.
Work through past paper questions, quote the correct formula before substituting values, and check units and notation every time. Pair this sheet with timed practice and mark schemes so you see how examiners expect working to be set out.
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Formulas align with IB MYP Physics curriculum for Years 1-5 (ages 11-16).
Always show your working, include units, and check that answers make physical sense.