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Physics · Topics

Measurement and quantities

Before any Physics calculation, you have to measure something and say what you found, and small slips here cost marks everywhere.

On this page
  1. What do I need to know first?
  2. One worked example that uses all five skills
  3. In what order should I study the lessons?
  4. What traps catch students?
  5. How do I use the practice set well?

Measurement and quantities is the foundation of IGCSE Physics: what a physical quantity is, which unit it uses, how to read an instrument, how to handle repeated readings and how sure you can be of a result. Every later topic, from motion to electricity, uses these skills.

Exact wording and required items change between syllabus years, so check the current Cambridge IGCSE Physics 0625 page for your exam year. This page follows the general skills. The Physics learning guide shows where this topic sits in the whole subject.

What do I need to know first?

Only core maths: multiplying and dividing decimals, powers of ten, and fractions. For the vector lesson, Pythagoras’ theorem in a right-angled triangle is enough. No earlier Physics is needed.

One worked example that uses all five skills

A student times 10 swings of a pendulum five times: 18.4 s, 18.7 s, 18.5 s, 18.6 s, 18.3 s. The stopwatch reads to 0.1 s. (Invented example data.)

Unit: seconds are the right unit for time, and the period will be in s as well.

Reading: each value was read from a digital display, so there is no scale to interpolate here, but the same care applies to a stopwatch on an analogue dial.

Mean: (18.4 + 18.7 + 18.5 + 18.6 + 18.3) ÷ 5 = 92.5 ÷ 5 = 18.5 s.

Uncertainty: half the range = (18.7 − 18.3) ÷ 2 = 0.2 s, so 18.5 ± 0.2 s.

Result: period = 18.5 ÷ 10 = 1.85 s, with uncertainty 0.2 ÷ 10 = 0.02 s. Period = 1.85 ± 0.02 s.

Notice that the answer needed a unit, a mean, a spread and a division by the number of swings. The same chain appears in many practical-style questions.

In what order should I study the lessons?

  1. Choose a unit appropriate to a quantity. Every later answer needs a correct unit, so start here.
  2. Read an analogue scale with interpolation. Reading comes before averaging.
  3. Calculate a repeated-measurement mean. This uses the readings you can now take and handles anomalous results.
  4. Distinguish scalar and vector descriptions. This is independent of the readings, but it prepares you for motion and forces.
  5. State a realistic uncertainty from supplied instrument data. It builds on the mean and the scale, so it comes last.

Then use the measurement and quantities practice set to test all five together.

What traps catch students?

  • Squared and cubed unit factors. Converting cm³ to m³ needs 10⁻⁶, not 10⁻².
  • Counting marks, not values. Divisions on a scale are not always worth 1.
  • Dividing by the wrong number after leaving out an anomalous reading.
  • Adding vector sizes when directions differ.
  • Too many digits in a mean or an uncertainty.

How do I use the practice set well?

Attempt it after you have worked through the lessons, not while reading them. Write units in every answer, then check the worked solution. The set ends with a table that sends each error type back to the right lesson.

Writing up measurements well is also a matter of habit. Our teachers can look at that in online one-to-one Physics tuition.

Sources

  1. Cambridge IGCSE Physics 0625 syllabus page

Updated:

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