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Help your students prepare for their Maths GCSE with this free compound measures worksheet of 34 questions and answers
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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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