Scale Diagrams Worksheet

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📏 Part 1: Reading and Converting Scales

1. A map has a scale of 1:50,000. What does this mean?

1 cm on the map represents 50,000 cm in real life

1 cm on the map represents 500 m in real life

1 cm on the map represents 50 km in real life

Both A and B are correct

2. On a floor plan with scale 1:200, a room measures 3 cm by 4 cm. What are the actual dimensions of the room?

Actual dimensions: ________ m by ________ m

3. A model car is built to a scale of 1:24. If the real car is 4.8 m long, how long is the model?

Model length: ________ cm

4. Convert these scales to their simplest form:

a) 2 cm : 1 km = 1 : __________

b) 5 mm : 25 m = 1 : __________

🗺️ Part 2: Applying Scale Diagrams

5. A garden plan is drawn to a scale of 1:250. On the plan:

• The garden path is 2.4 cm long

• The pond has a diameter of 1.6 cm

• The greenhouse measures 0.8 cm by 1.2 cm

Calculate the real measurements:

a) Garden path: ________ m

b) Pond diameter: ________ m

c) Greenhouse: ________ m by ________ m

6. On a map with scale 1:25,000, two towns are 8.4 cm apart. What is the actual distance between them?

2.1 km

21 km

210 km

2,100 km

7. A scale drawing of a school field shows a football pitch that is 10.5 cm long and 6.8 cm wide. If the actual pitch is 105 m long, what is the scale of the drawing?

Scale: 1 : __________

🏗️ Part 3: Real-World Applications

8. An architect's plan for a house extension uses a scale of 1:100. The client wants a new kitchen that is 5 m by 3.5 m in real life. How should this appear on the plan?

Kitchen on plan: ________ cm by ________ cm

9. A map shows that the distance from London to Birmingham is 16.8 cm. The actual distance is 210 km. What scale is the map using?

Map scale: 1 : __________

10. Explain why scale diagrams are important in at least two different professions. Give specific examples of how they might be used.