Units — Edexcel International GCSE Physics — Physics with Kate
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(a) Units
Edexcel International GCSE Physics · spec point (a) at the start of every section

Units

In this lesson you'll learn to: give the right unit for every quantity on the course, work out the unit of an answer straight from the equation you used, and convert minutes, hours, centimetres, millimetres and grams before you substitute anything.
Prefer to watch? Scroll to the bottom for the video on this topic A video walkthrough is coming soon — it will appear at the bottom of this page

Start here — have a play

Don't read anything yet. Choose your topic from the dropdown, then drop the unit of each quantity into the equation and watch the unit of the answer build itself. Then try the match-up against the clock, and the conversions — that last tab is where most marks are quietly lost.

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The equation

Click the unit of each quantity

The unit of the answer
Fill in the units above and the unit of the answer builds itself.

Why this works. You are never asked to invent a unit. The unit always comes straight out of the equation you already know — so if you can remember the equation, you can work out the unit, even under pressure in the exam.

time 0s slips 0
Click a quantity on the left, then its unit on the right.
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Choose the correct value.
The golden rule — always convert before you calculate. Every equation on the formula sheet wants time in seconds, distance in metres and mass in kilograms. Convert first, then substitute.
minutes → s  × 60 hours → s  × 3600 cm → m  ÷ 100 mm → m  ÷ 1000 g → kg  ÷ 1000 M (mega)  × 1 000 000 k (kilo)  × 1000 c (centi)  ÷ 100 m (milli)  ÷ 1000

Physics With Kate · physicswithkate.com — Edexcel International GCSE Physics

▲ The topic you pick is shared by the first two tabs, so set it once and the whole widget matches your booklet.

Spotted the pattern? The unit always comes out of the equation.

You never have to remember that power is measured in watts — you can work it out. The notes below give you every unit you need, the three you must not muddle up, and the conversions to do before you press a calculator button.

Read the notes ↓

Revision notes

Units are the first thing in every section of the spec — 1 (a), 2 (a), 3 (a), and so on all the way to 8 (a). That is not an accident. Edexcel put them first because every single calculation in the section that follows depends on getting them right.

A measurement is a number and a unit

"The current is 3" means nothing. 3 amps? 3 milliamps? A number on its own is not an answer in physics, it is half an answer.

Examiners are strict about this because the unit is what tells you what was measured. Every mark scheme that asks for a calculation expects the unit with it.

⭐ Key fact

A number with no unit, or with the wrong unit, scores zero — even when the arithmetic is perfect. Always write the unit on your final answer.

Where a unit comes from

Here is the bit almost nobody is told: you do not have to memorise every unit separately. The unit of an answer comes straight out of the equation you used.

Take power. The equation is:

power = energy transferred ÷ time

Energy is in joules and time is in seconds, so power must be in joules per second. That unit is used so often it was given its own name — the watt. So 1 W = 1 J/s, and a 60 W lamp transfers 60 joules every second.

The same trick works everywhere:

EquationUnits you put inUnit of the answer
speed = distance ÷ timem ÷ sm/s
acceleration = change in velocity ÷ timem/s ÷ sm/s²
force = mass × accelerationkg × m/s²N
work done = force × distanceN × mJ
power = energy ÷ timeJ ÷ sW
charge = current × timeA × sC
voltage = energy ÷ chargeJ ÷ CV
resistance = voltage ÷ currentV ÷ AΩ
density = mass ÷ volumekg ÷ m³kg/m³
pressure = force ÷ areaN ÷ m²N/m² (Pa)

Read that last column out loud with the word "per" where the divide sign is: metres per second, joules per second, kilograms per cubic metre. "Per" always means divide, and it always means for every one of the thing underneath.

The units you need

These are the ones that come up. Learn the block for the topic you are revising rather than trying to swallow the lot in one go.

QuantityUnitWhere you meet it
masskgeverywhere
distance, displacement, length, extension, wavelengthmeverywhere
time, half-life, time periodseverywhere
speed, velocity, wave speedm/sTopics 1, 3, 8
accelerationm/s²Topic 1
force, weightNTopics 1, 5, 6
gravitational field strength, gN/kgTopics 1, 4
momentumkg m/sTopic 1
moment of a forceN mTopic 1
energy, work doneJTopics 1, 2, 4, 5
powerWTopics 2, 4, 6
currentATopics 2, 6
chargeCTopic 2
voltage, potential differenceVTopics 2, 6
resistanceΩTopic 2
frequencyHzTopics 3, 6
angle of incidence, reflection, refractiondegrees (°)Topic 3
densitykg/m³Topic 5
pressureN/m² or PaTopic 5
volumeTopic 5
temperature°CTopic 5
specific heat capacityJ/(kg °C)Topic 5
activity of a sourceBqTopic 7
count ratecounts/sTopic 7

Some units have a name. Some are just written out.

A handful of units were used so often that they were given a name and a letter of their own:

  • the newton (N) — instead of writing kg m/s² every time
  • the joule (J) — instead of newton metres
  • the watt (W) — instead of joules per second
  • the coulomb (C), the volt (V) and the ohm (Ω) for electricity
  • the pascal (Pa) for pressure, and the becquerel (Bq) for activity

The rest never got a name, so you write them out in full: m/s, m/s², kg m/s, kg/m³, J/(kg °C). Neither kind is harder than the other — they are just written differently.

Three traps worth knowing

⚠ Trap 1 — N m is not always J

Work done = force × distance = newton metres, and that is written as joules (J).
A moment = force × distance as well — but a moment is a turning effect, not energy, so it is always written N m and never J. Same multiplication, different quantity, different unit name.

⚠ Trap 2 — some things have no unit at all

Efficiency = useful energy out ÷ total energy in. Joules divided by joules — the units cancel. Efficiency is just a number, or a percentage, and writing a unit on it loses the mark. The same goes for a refractive index and a transformer's turns ratio.

⚠ Trap 3 — weight is in newtons, not kilograms

Kilograms measure mass, which never changes. Weight is a force, so it is measured in newtons, and it changes if you move somewhere with a different g. "My weight is 60 kg" is fine in the street and wrong in the exam.

Convert first, then calculate

This is the single biggest source of dropped marks in the whole subject, and it has nothing to do with physics — it is arithmetic done in the wrong order.

Every equation on the formula sheet expects seconds, metres and kilograms. If a question gives you minutes, centimetres or grams, convert before you substitute.

You are givenDo thisExample
minutes → seconds× 6025 min = 1500 s
hours → seconds× 36002 h = 7200 s
centimetres → metres÷ 1004.5 cm = 0.045 m
millimetres → metres÷ 100040 mm = 0.04 m
kilometres → metres× 10001.5 km = 1500 m
grams → kilograms÷ 1000500 g = 0.5 kg

Three letters get stuck on the front of units to save writing zeros. They mean exactly the same thing every time, whatever unit follows them:

PrefixMeansExample
M — mega× 1 000 0002.5 MW = 2 500 000 W
k — kilo× 10003 kW = 3000 W · 12 kJ = 12 000 J
c — centi÷ 100250 cm = 2.5 m
m — milli÷ 1000250 mA = 0.25 A

Watch the two ms: a small m in front of a unit means milli (mA, mm), but m on its own is metres. And a capital M is a million, not a milli.

Worked examples

A lamp transfers 600 J of energy in 30 s. Give the power, with its unit.

power = energy ÷ time = 600 ÷ 30 = 20. Energy was in joules and time in seconds, so the answer is in joules per second — 20 W.

A source has a half-life of 25 minutes. What is that in seconds?

Minutes → seconds means × 60, so 25 × 60 = 1500 s. Do this before using it in any equation — substituting 25 would make every later answer wrong.

A motor is 0.6 efficient. What is the unit of that answer?

There isn't one. Efficiency is joules ÷ joules, so the units cancel — the answer is just 0.6, or 60%. Adding "J" would lose the mark.

A spanner is turned with a force of 30 N at a distance of 0.2 m. Give the moment.

moment = force × distance = 30 × 0.2 = 6. Newtons × metres, so the answer is 6 N mnot 6 J. A moment is a turning effect, not energy.

A block has a mass of 500 g and a volume of 0.002 m³. Give its density.

Convert first: 500 g ÷ 1000 = 0.5 kg. Then density = mass ÷ volume = 0.5 ÷ 0.002 = 250 kg/m³. Feeding in 500 would have given an answer 1000 times too big.

📘 Now do it in your workbook

Write the units in yourself, do the matching and the conversions on paper, then check against the answers at the back of the book.

Edexcel iGCSE Physics Workbook · UNITS · free 4-page sample

Every booklet in the series opens with its own Units page, because the units you need change from section to section — but the way you work them out never does. The free sample gathers those pages together; the full workbook covers the whole section with worked answers.

✅ Can you do it? Tick as you go

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🎉 Nice work! You've ticked off every objective for this spec point. Don't forget to hit “Mark complete” at the bottom of the lesson.

Prefer to watch? Here's the whole thing

Video walkthrough — coming soon

Everything above, explained out loud — useful for a last-minute recap, or if you'd rather hear it than read it.

Everything above, explained out loud — useful for a last-minute recap, or if you'd rather hear it than read it. The video is on its way.

🎬

Video coming soon

The walkthrough for this lesson is being filmed and will appear right here. Until then, the notes and the free workbook pages above cover every mark.

▲ In GHL you can also use the lesson's built-in video field instead of this embed.

Now put it into practice

Watching is the easy bit — units only stick once you have written them in yourself and got a few wrong. The Units pages of the workbook are free, and the full book covers the whole topic with worked answers.

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