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Section 14.2 · Geometry and measure

Scale drawings, maps and plans

Use knowledge of scaling to interpret maps and plans, converting between distances on a drawing and real distances.

6 teaching slides 57 practice questions Worked answers for every question

1 · Teaching slidesuse ← → keys

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2 · Key words

scaleThe rule linking a drawing to real life.
scale drawingA drawing with every length reduced or enlarged equally.
ratio scaleA scale written as 1 : n, in the same units on both sides.
planA scale drawing seen from above.
mapA scale drawing of an area of ground.
representsThe word linking a drawing length to a real one.

3 · Summary of the sectionrevise from this

  • A scale tells you what one length on a drawing stands for in real life.
  • Drawing → real: multiply. Real → drawing: divide.
  • A scale can be written as “1 cm represents 5 m” or as the ratio 1 : 500.
  • For a ratio scale, both sides must be in the same units: 5 m = 500 cm, so 1 cm to 5 m is 1 : 500.
  • The bigger the second number, the smaller the drawing.
  • Useful conversions: 100 cm = 1 m, 100 000 cm = 1 km.
  • Every angle is unchanged, and every length is multiplied by the same number — the shape does not distort.
  • Areas do not scale by the same number: doubling every length multiplies the area by 4.

Video lessons1 videos

Maps and Scales

British corbettmaths

Reading a map scale and converting both ways between map and ground.

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4 · Practice57 questions, easiest first

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14.1 Coordinates and distance

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14.3 Translation