GCSE · Standard form

Standard form in contextExam-style questions

How standard-form arithmetic solves real scale problems — distances, masses, populations — and why unit conversion has to happen before the powers of ten can do their work.

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19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
The population of a city is $2.4 \times 10^6$ . Write this as an ordinary number.
Level 1 · 1 markTry it
2
A grain of sand has mass $0.0004$ g. Write this mass in standard form.
Level 1 · 1 markTry it
3
Which is larger, $3.2 \times 10^4$ or $9.8 \times 10^3$ ? Explain how you know.
Level 1 · 1 markTry it
4
Write these in order of size, smallest first: $\quad 5 \times 10^3 \qquad 2 \times 10^4 \qquad 8 \times 10^2$
Level 1 · 1 markTry it
5
The distance from the Earth to the Moon is about $3.8 \times 10^5$ km. A rocket travels this distance in $4$ days. How far does it travel each day, on average? Give your answer in standard form.
Level 2 · 2 marksTry it

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