GCSE Maths (AQA)

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Using Scale Diagrams

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Geometry and Measures Mensuration and Calculation

Using Scale Diagrams

3:16 Scale Diagrams & Bearings
Spec R2 R12 G15
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  • To convert from a scale diagram to real life, measure a line on the diagram and multiply it by the scale factor
  • Scale factor of 1 to 100 means every distance on the plan represents a distance a hundred times as large in the actual building
  • One centimeter on the plan represents a hundred centimeters or one meter in the actual building
  • To convert from real life to a scale diagram, divide the real life measurement by the scale factor
  • Example: doorway is 0.8 meters wide in real life, in the scale drawing it should be 0.8 centimeters
  • Scale diagram has a scale of 1 centimeter to 200 centimeters
  • Kitchen is 2.5 meters long in real life
  • Part 1: Calculate the real life length of the hallway
  • Part 2: Calculate the horizontal length of the kitchen on the scale diagram
  • Step 1: Multiply the length on the scale diagram by the scale factor to get the real life length
  • Step 2: Convert the length of the kitchen to the same units as the scale
  • Step 3: Divide the real life length of the kitchen by the scale factor to get the length in the scale drawing

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