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Scale Diagrams Worksheet
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Scale Diagrams Worksheet
Show your working where needed. Convert measurements to the same units before comparing or simplifying a scale.
Understanding and converting scales
1.A map uses the scale 1:40,000. Which statement correctly describes this scale?
- 1 cm on the map represents 40,000 cm, or 400 m, in real life.
- 1 cm on the map represents 40 km in real life.
- 40 cm on the map represents 1 km in real life.
- 1 cm on the map represents 4 m in real life.
2.A flat is drawn at a scale of 1:150. A bedroom measures 2.8 cm by 3.6 cm on the plan. Find its actual dimensions in metres.
3.A full-size sculpture is 3.6 m tall. A miniature is made at a scale of 1:30. How tall is the miniature in centimetres?
4.Write each scale as a ratio in the form 1:n. Convert units first. a) 4 cm represents 2 km. b) 3 mm represents 12 m.
Using scale diagrams
5.A park layout has a scale of 1:300. On the layout, a straight path is 3.2 cm long, a circular flower bed has a diameter of 1.5 cm, and a shed measures 0.9 cm by 1.4 cm. Find each actual measurement in metres.
6.On a walking map with scale 1:20,000, two landmarks are 6.5 cm apart. What is their actual distance?
- 1.3 km
- 13 km
- 130 km
- 1,300 km
7.A scale drawing shows a running track that is 8 cm long. The real track is 120 m long. Find the drawing's scale in the form 1:n.
Scale in real-world work
8.A builder draws a conservatory at a scale of 1:50. Its real dimensions are 4.5 m by 3.2 m. What dimensions should the drawing show, in centimetres?
9.A route is 14 cm long on a map and 280 km in real life. Find the map scale in the form 1:n.
10.Describe two different jobs where scale diagrams are useful. For each job, give an example of something the person might plan or represent.
3 printable pages
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