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Measurements and Their Errors

  • 3 subtopics
  • 16 things to know
  • Papers 1 and 3

What Measurements and Their Errors covers

Measurements and their errors runs through the whole course and can be examined on any paper. It covers the SI system, how uncertainty is calculated and combined, and how to estimate a quantity to the right order of magnitude.

Where it is assessed

Papers 1 and 3

Core content, then practical skills and data analysis.

Check the AQA specification ↗

The 3 subtopics

Each one has its own page. AQA AS Physics students sit this topic in the first year.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What are the SI base units for mass, amount of substance and electric current?

Key term

How are derived units formed, and what do the prefixes tera and giga represent?

Numbers

What does the prefix milli mean, and how do you convert millimetres to metres?

Numbers

Why use kilowatt-hours instead of joules, what is one kilowatt-hour worth, and how many kilowatt-hours is 4.46 × 10⁷ J?

Evaluation

What are absolute and fractional uncertainty, and what does accuracy mean?

Evaluation

How is percentage uncertainty found, and how do uncertainties combine when adding?

Evaluation

How do uncertainties combine when quantities are multiplied, divided or raised to a power?

Evaluation

How are the extreme lines of best fit used to find uncertainty in a gradient?

Evaluation

How is gradient uncertainty calculated, what is a zero error, and how can it be corrected?

Evaluation

Why are absolute uncertainties added when two measurements are subtracted?

Evaluation

How do you combine uncertainty for a square root, and how many figures should you quote?

Numbers

When two measurements are multiplied together, how do you combine their uncertainties?

Process

When two measurements are added together, how do you combine their absolute uncertainties?

Numbers

How is the order of magnitude of a derived quantity estimated?

Numbers

Where does the boundary between adjacent orders of magnitude lie, and why?

Key term

What does it mean to estimate a quantity to the nearest order of magnitude?

Take Measurements and Their Errors further

The same content, four other ways.

Commonly confused

Pairs that lose marks when they are blurred together.

  • Accuracy vs Precision

    Accuracy: closeness to the accepted value. Precision: closeness of repeated readings to each other.

  • Random error vs Systematic error

    Random error: unpredictable variation causing scatter. Systematic error: consistent bias shifting readings in one direction.

  • Absolute uncertainty vs Percentage uncertainty

    Absolute uncertainty: uncertainty expressed in measurement units. Percentage uncertainty: uncertainty expressed relative to the measured value.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    What is the SI base unit for mass, and what is its symbol?

    Model answer

    The kilogram, symbol kg.

  2. 2

    What is the SI base unit for amount of substance, and what is its symbol?

    Model answer

    The mole, symbol mol.

  3. 3

    What is the SI base unit for electric current, and what is its symbol?

    Model answer

    The ampere, symbol A.

  4. 4

    How are SI derived units formed from fundamental units?

    Model answer

    By combining fundamental units through multiplication or division.

  5. 5

    What power of ten does the SI prefix tera (T) represent?

    Model answer

    10¹².

  6. 6

    What power of ten does the SI prefix giga (G) represent?

    Model answer

    10⁹.

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Measurements and Their Errors
Particles and Radiation
Waves
Mechanics and Materials

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Sort every topic into what you know and what you do not, then drill only the weak ones.

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AP = 4πr²σT⁴.
BThe surface area of a spherical star is 4πr².
CP₁/P₂ = (r₁²/r₂²) × (T₁⁴/T₂⁴).

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Spot the fault in a statement. The traps are the mistakes students actually make.

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Short focus games to reset attention, so the next set lands better than the last.

Measurements and Their Errors revision questions

Is Measurements and Their Errors examined at AS in AQA Physics?
Yes. It sits in Papers 1 and 3, which you take in the first year, so it is on the AS paper as well as counting towards the full A level.
What does Measurements and Their Errors cover in AQA AS-Level Physics?
3 subtopics: use of si units and their prefixes, limitation of physical measurements and estimation of physical quantities. Each one has its own page with questions and model answers.
How is Measurements and Their Errors organised?
By the AQA 7408 specification, subtopic by subtopic, so it matches the order you are taught it in.

Every question in Measurements and Their Errors, on a schedule.

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