Scale Drawings Practice — Grade 7 math

Lesson 2: Scale Drawings — Practice Questions

1. A map uses a scale of 1 cm = 25 km. The distance between two towns on the map is 3 cm. What is the actual distance between the towns in kilometers? ___ km
2. A blueprint for a house has a scale of 1 inch = 5 feet. If a wall is 25 feet long in reality, how long should it be on the blueprint in inches? ___ inches
3. A model airplane is built using a scale of 1:50. If the model is 20 cm long, what is the actual length of the airplane in meters? ___ m
4. A scale drawing of a building uses the ratio 1:400. A wall is 8 cm long on the drawing. What is the actual length of the wall in meters?
- A. 32 m
- B. 320 m
- C. 3.2 m
- D. 50 m
5. A floor plan has a scale of 1 inch = 3 feet. A room is 6 inches long on the plan. What is the actual length of the room?
- A. 2 feet
- B. 9 feet
- C. 18 feet
- D. 24 feet
6. A map uses a scale of $1:250$. What does this notation mean?
- A. 1 unit on the map represents 250 units in reality.
- B. 250 units on the map represent 1 unit in reality.
- C. The map is 250 times larger than the actual area.
- D. 1 inch on the map represents 250 miles.
7. A blueprint for a house has a scale of $1 \text{ inch} = 4 \text{ feet}$. This means that for every 1 inch on the blueprint, the actual distance is ___ feet.
8. A model airplane is built using a scale of $\frac{1}{72}$. How does the model's size relate to the actual airplane's size?
- A. The model is 72 times larger than the actual airplane.
- B. The actual airplane is 72 times larger than the model.
- C. The model is 72 inches long.
- D. The actual airplane is $\frac{1}{72}$ the size of the model.
9. A diagram of a cell uses a ratio scale of $1:500$. This means that 1 unit of measurement on the diagram corresponds to ___ units of actual size.
10. Which of the following expresses a scale relationship in unit form?
- A. $1:1000$
- B. $\frac{1}{1000}$
- C. $1 \text{ cm} = 10 \text{ meters}$
- D. $1000:1$