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Understanding how AQA mark schemes work is as important as knowing the physics content. Mark schemes are rigid — examiners follow them precisely. If you know what patterns examiners look for, you can structure every answer to pick up maximum marks. This lesson covers calculation patterns, equation use, units, graph skills, common conceptual mistakes, and the specific rules for significant figures and extended responses.
Every calculation question in AQA GCSE Physics follows a standard pattern. Examiners look for specific steps, and each step can earn a mark even if your final answer is wrong. This means showing your working can be the difference between 0 marks and 2 out of 3 marks.
| Step | What to Do | Mark Awarded For |
|---|---|---|
| 1. Write the equation | State the relevant equation (in words or symbols) | Correct equation selected |
| 2. Substitute | Put the numbers from the question into the equation | Correct substitution |
| 3. Rearrange (if needed) | Rearrange the equation to make the unknown the subject | Correct rearrangement |
| 4. Calculate | Perform the arithmetic | Correct numerical answer |
| 5. Unit | Write the correct unit | Correct unit |
Question: A car of mass 1200 kg is travelling at 15 m/s. Calculate its kinetic energy. (3 marks)
| Step | Working |
|---|---|
| Equation | E_k = 0.5 x m x v^2 |
| Substitution | E_k = 0.5 x 1200 x 15^2 |
| Calculation | E_k = 0.5 x 1200 x 225 = 135 000 J |
| Answer with unit | 135 000 J (or 135 kJ) |
Exam Tip: Even if you make an arithmetic mistake, you still get marks for the correct equation and correct substitution. ALWAYS show your working. Never just write a final number.
Many exam questions require you to rearrange before substituting. This is worth its own mark.
Example: A force of 500 N is applied to a trolley of mass 25 kg. Calculate the acceleration.
| Step | Working |
|---|---|
| Equation | F = m x a |
| Rearrange | a = F / m |
| Substitution | a = 500 / 25 |
| Answer | a = 20 m/s^2 |
graph LR
A[Write Equation] --> B[Substitute Values]
B --> C[Rearrange if Needed]
C --> D[Calculate]
D --> E[State Answer + Unit]
style E fill:#ccffcc,stroke:#009900
AQA expects you to express answers appropriately. Using standard form and the correct number of significant figures are both assessed.
Standard form is used for very large or very small numbers.
| Standard Number | Standard Form |
|---|---|
| 300 000 000 m/s (speed of light) | 3.0 x 10^8 m/s |
| 0.000 000 001 m (1 nanometre) | 1 x 10^-9 m |
| 6 700 J | 6.7 x 10^3 J |
| 0.025 A | 2.5 x 10^-2 A |
Exam Tip: On a calculator, standard form is entered using the EXP or x10^x button, NOT by typing "x 10 ^". Learn how your specific calculator handles standard form before the exam.
AQA has a specific policy on significant figures:
| Number | Significant Figures | Count |
|---|---|---|
| 4500 | 4, 5 | 2 s.f. (trailing zeros are ambiguous — use standard form: 4.5 x 10^3) |
| 0.0032 | 3, 2 | 2 s.f. (leading zeros are not significant) |
| 10.50 | 1, 0, 5, 0 | 4 s.f. (trailing zeros after a decimal point are significant) |
| 305 | 3, 0, 5 | 3 s.f. (zeros between non-zero digits are significant) |
| Mistake | Example | Correction |
|---|---|---|
| Giving too many decimal places | 135 000.0000 J | 135 000 J or 1.35 x 10^5 J |
| Rounding too early | Rounding an intermediate step changes the final answer | Keep all digits during calculation; only round the final answer |
| Ignoring the instruction | Question says "to 2 s.f." but student writes 135 000 | Should write 140 000 or 1.4 x 10^5 |
| Equation | What It Calculates |
|---|---|
| E_k = 0.5 x m x v^2 | Kinetic energy |
| E_p = m x g x h | Gravitational potential energy |
| E_e = 0.5 x k x e^2 | Elastic potential energy |
| E = m x c x delta_T | Energy transfer (specific heat capacity) |
| P = E / t | Power |
| Efficiency = useful output / total input | Efficiency |
| Q = I x t | Charge flow |
| V = I x R | Ohm's law |
| P = V x I | Electrical power |
| P = I^2 x R | Electrical power (alternative) |
| E = P x t | Energy transferred (electrical) |
| E = Q x V | Energy transferred (charge) |
| rho = m / V | Density |
| W = m x g | Weight |
| W = F x s | Work done |
| F = k x e | Hooke's law |
| s = v x t | Distance (speed equation) |
| a = delta_v / t | Acceleration |
| F = m x a | Newton's second law |
| p = m x v | Momentum |
| v = f x lambda | Wave speed |
| T = 1 / f | Period and frequency |
| V_p / V_s = n_p / n_s | Transformer turns ratio |
| Equation | What It Calculates |
|---|---|
| E = m x L | Specific latent heat |
| p x V = constant | Gas pressure and volume (constant T) |
| moment = F x d | Moments |
| p = h x rho x g | Pressure in a column of liquid (Higher) |
| magnification = image height / object height | Magnification |
| F = B x I x l | Force on a conductor (Higher) |
| V_p x I_p = V_s x I_s | Transformer power (Higher) |
| orbital speed = 2 x pi x r / T | Orbital speed |
Exam Tip: In the exam, even if an equation is on the sheet, you must still know how to USE it. The sheet tells you the equation — it does not tell you what the symbols mean or how to rearrange it. Practise using every equation, whether memorised or given.
Unit conversion errors are one of the most common sources of lost marks. AQA questions often give values in non-standard units to test whether you can convert.
| Conversion | Rule | Example |
|---|---|---|
| kJ to J | Multiply by 1000 | 5 kJ = 5000 J |
| J to kJ | Divide by 1000 | 7500 J = 7.5 kJ |
| km to m | Multiply by 1000 | 2.5 km = 2500 m |
| m to km | Divide by 1000 | 800 m = 0.8 km |
| kW to W | Multiply by 1000 | 3 kW = 3000 W |
| W to kW | Divide by 1000 | 1500 W = 1.5 kW |
| mA to A | Divide by 1000 | 250 mA = 0.25 A |
| A to mA | Multiply by 1000 | 0.6 A = 600 mA |
| cm to m | Divide by 100 | 50 cm = 0.5 m |
| mm to m | Divide by 1000 | 25 mm = 0.025 m |
| g to kg | Divide by 1000 | 500 g = 0.5 kg |
| hours to seconds | Multiply by 3600 | 2 hours = 7200 s |
| minutes to seconds | Multiply by 60 | 5 minutes = 300 s |
| km/h to m/s | Divide by 3.6 | 72 km/h = 20 m/s |
Exam Tip: Before substituting into ANY equation, check that all values are in SI units (metres, kilograms, seconds, amperes, volts, joules, watts, etc.). If the question gives 250 mA, you must convert to 0.25 A before using V = I x R.
Graph questions are worth significant marks on both papers. AQA tests several specific skills.
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