Help your students prepare for their Maths GCSE with this free compound measures worksheet of 34 questions and answers
Compound measures are measures that use more than one unit.
Speed (Distance, Time)
Speed is found using the formula Speed = Distance divided by Time. The units for speed are therefore distance per unit of time. Examples include miles per hour or metres per second.
To find the average speed for a whole journey we would calculate the total distance divided by the total time.
Density (Mass, Volume)
Density is calculated using the formula Density – Mass divided by Volume. The units for density are therefore mass per unit of volume. Examples include g/cm3 and kg/m3, since the volume of cuboids, prisms and all 3D objects is measured in cubic units.
Pressure (Force, Area)
Pressure is calculated using the formula Pressure = Force divided by Area. The units are therefore force per unit of area. Examples include N/m2 and Pa (Pascals).
Other compound measures
Other measures that use compound units include rates of pay, for example £15/hour and rates of flow, for example 10 litres/min.
Looking forward, students can then progress to additional ratio and proportion worksheets, for example a ratio worksheet or a simplifying and equivalent ratios worksheet.
For more teaching and learning support on Ratio and Proportion our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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