Maths Resources GCSE Worksheets

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Compound Measures Worksheet

Compound Measures Worksheet

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

  • Section 1 of the compound measures worksheet  contains 27 skills-based compound measures questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied compound measures questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam style compound measures questions 
  • Answers and a mark scheme for all compound measures questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR, and Edexcel and WJEC exam boards

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Compound measures at a glance

 

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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GCSE Maths Worksheets

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