Do I need an account to practise Density?

No. You can start practising Density straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Units and compound measures

Density

Q: What are the common mistakes in Density?

Wrong conversion factor applied (e.g. cm-m, g-kg) Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa) Inverts the numerator/denominator in a division/ratio context

63 self-marking GCSE and IGCSE practice questions on Density, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.

Start practising Density (no account needed)

Sample Density questions

A few of the 63 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 12 marksGrade 3-4
A wooden cube has a volume of 18 cm³. The density of the wood is 6 g/cm³. Work out the mass of a wooden cube, in g.
Show the worked solution
Mass = density × volume M1
Mass = 6 × 18 = 108 g A1
Question 22 marksGrade 3-4
A rock has a mass of $36\,920\text{ g}$ and a volume of $14\,200\text{ cm}^3$

What are the common mistakes in Density?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Wrong conversion factor applied (e.g. cm-m, g-kg)
Divided the mass in kilograms directly by the volume in cm³ without converting kg to g first
Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa)
Multiplied mass by density instead of dividing mass by density
Inverts the numerator/denominator in a division/ratio context
Divided volume by density instead of multiplying density by volume

Quick answers about Density

How many Density practice questions are there?: There are 63 self-marking GCSE and IGCSE Maths questions on Density, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Density?: No. You can start practising Density straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.