GCSE Maths

Compound Measures

Edexcel

Introduction

  • When we calculate a quantity using other quantities then it is called a Compound Measure which represents the relationship between these quantities and the units used.
  • The Compound Measures are denoted as Ratio or Rate such as “per” unit (km/h, m/s etc.)
  • These Measures are widely used in Business, Engineering and Science and solving real-life problems.

Examples:

  • Speed
  • Density
  • Pressure
Diagram showing the speed formula s = d ÷ t

Easy Way to Solve Problems

  • We can make it easy to solve the problems related to Compound Measures by learning the Triangle method.

Consider following three Compound Measures –

Speed triangle
Pressure triangle
Density triangle

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How to use the Triangle Method

  • Let us see the use of the Triangle to find one quantity if the other two are known.
Speed–distance–time triangle

To find Speed:

  • Hide Speed in the Triangle, then using Distance and Time as the quantities remaining, formula for calculating Speed will be-
$$Speed = \frac{Distance}{Time}$$

To find Distance:

  • Hide Distance in the Triangle, then using Speed and Time as the quantities remaining, formula for calculating Distance is
$$Distance = Speed \times Time$$

To find Time:

  • Hide Time in the Triangle, then using Speed and Distance as the quantities remaining formula for calculating Time is –
$$Time = \frac{Distance}{Speed}$$

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