Help your students prepare for their Maths GCSE with this free density worksheet of 30 + questions and answers
Density is a measure of the mass of something per unit volume. It is usually measured in kilograms per cubic metre or grams per cubic centimetre. Calculating density is done using the density formula: Density = Mass divided by Volume.
For example, if we have a piece of wood with a volume of 100cm3 and a mass of 80g, we can calculate the density of the object: Density = 80 divided by 100 = 0.8g/cm^3. Sometimes we might be given information about the side lengths of the object rather than the volume, in which case we start by calculating the volume and then use this for the density calculation.
By rearranging the density formula, we can get the following formulae for volume and mass:
Volume = Mass divided by Density and Mass = Density multiplied by Volume. The answers we get by using these formulae may be non-exact, in which case we can round them to an appropriate number of decimal places or significant figures.
Some useful conversions include: 1 ml of water fills 1cm^3, and 1000kg = 1 tonne. We therefore multiply millilitres by 1 to get centimetres, and we divide kilograms by 1000 to get tonnes.
Looking forward, students can then progress to additional exchange and conversion rates worksheets, and other ratio and proportion worksheets for example a ratio worksheet or a simplifying and equivalent ratios worksheet.
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