Mathematics Grade 7 15 min

Scale drawings: word problems

Scale drawings: word problems

What you'll learn

  • Identify the scale factor in a scale drawing word problem and express it as a ratio or fraction with 80% accuracy.
  • Solve for a missing dimension (either on the scale drawing or the actual object) in a scale drawing word problem using proportions with 75% accuracy.
  • Explain the relationship between the scale factor, the dimensions on the scale drawing, and the actual dimensions in a written explanation that includes correct units of measurement.
  • Apply scale drawing concepts to calculate actual distances from a map with a given scale, solving at least 3 out of 4 problems correctly.

Tutorial Preview

1

A map scale is 1 inch = 4 miles. A road is 3 inches on the map. How long is the real road?

2

A model car's scale is 1 cm = 2 feet. If the real car is 10 feet long, how long is the model?

3

A blueprint shows a 4-foot wall as 2 inches long. What is the scale as '1 inch = ? feet'?

Sample Practice Questions

Easy
A map's scale is 1 cm = 2 meters. A path is 3 cm long on the map. How long is the real path?
0.3 m
1.6 m
2.2 m
3.9 m
Easy
A drawing's scale is 1 inch = 5 feet. A sofa is 2 inches long in the drawing. How long is the real sofa?
0.10 ft
1.7 ft
2.2.5 ft
3.5 ft
Easy
A map's scale is 1 cm = 3 km. A river is 9 km long in real life. How long is it on the map?
0.27 cm
1.6 cm
2.3 cm
3.12 cm

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Ratios, rates, and proportions

Mathematics for other grades

Frequently asked questions

What grade level is "Scale drawings: word problems"?

Scale drawings: word problems is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Scale drawings: word problems?

You'll be able to: Identify the scale factor in a scale drawing word problem and express it as a ratio or fraction with 80% accuracy; Solve for a missing dimension (either on the scale drawing or the actual object) in a scale drawing word problem….

Is "Scale drawings: word problems" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Scale drawings: word problems?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.