Scale Diagrams Worksheet

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📐 Part 1: Understanding Scale Diagrams

1. A scale diagram uses the scale 1:50. What does this mean?

1 cm on the diagram represents 50 cm in real life

50 cm on the diagram represents 1 cm in real life

The diagram is 50 times larger than real life

The scale doesn't matter

2. A model car has a scale of 1:20. If the real car is 4.5 metres long, what is the length of the model?

22.5 cm

45 cm

9 cm

90 cm

3. Which of these are common uses for scale diagrams? (Tick all that apply)

Maps

Architectural plans

Model kits

Engineering blueprints

4. A garden plan uses a scale of 1:100. On the plan, a flower bed measures 3 cm by 2 cm. What are the real dimensions of the flower bed?

Real dimensions: _______ m by _______ m

📏 Part 2: Multi-Step Scale Problems

5. A playground slide has these real dimensions: length = 6 metres, height = 3 metres. Draw a scale diagram using the scale 1:200. Show your calculations first.

Calculations:

Scale diagram:

6. A map uses a scale of 1:25,000. Two towns are 8 cm apart on the map.

a) What is the real distance between the towns in metres? _____________

b) Convert your answer to kilometres: _____________

7. Challenge Problem: A model aeroplane has a wingspan of 45 cm and uses a scale of 1:80. If you wanted to make a larger model with a wingspan of 72 cm, what scale would you need to use?

New scale: 1:_______

🎯 Part 3: Real-World Application

8. You are designing a scale plan of your bedroom for a furniture shop. Your bedroom is 4 metres by 3 metres. Choose an appropriate scale that would fit on an A4 sheet of paper and explain your choice.

Chosen scale: 1:_______

9. A school playground is drawn using two different scales. On Plan A (scale 1:500), the football pitch is 20 cm long. On Plan B (scale 1:250), how long would the same football pitch appear?

Length on Plan B: _______ cm

10. Explain one reason why architects and engineers need to be very accurate when creating scale diagrams. Give a specific example of what could go wrong if measurements were incorrect.