← Back to Scale Drawings

Scale Drawings - Worksheet 6 - 7th Grade

Medium

Convert between drawing lengths and actual lengths using a stated scale.

medium: Practice the same exercise types with a fresh numbered set.

14 problems · 15-20 minutes · Skills: proportional relationships, geometry

About This Worksheet

This medium-level worksheet contains 14 problems designed for 7th Grade students practicing scale drawings. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Multiply, divide and simplify fractions. Read quantities with their units.

  • Convert between drawing lengths and actual lengths using a stated scale.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A drawing uses 1 cm for 9 m. A wall measures 12 cm on the drawing. What is its real length?
Solution Steps:
  1. Multiply the drawing length by the scale factor.
Answer: 108 m
Tip: Check your result using the method in the example before moving to the next question.
1
A drawing uses 1 cm for 6 m. A wall measures 13 cm on the drawing. What is its real length?
2
A map uses 1 cm for 19 km. Two towns are 266 km apart. How far apart should they be on the map?
3
A drawing uses 1 cm for 9 m. A wall measures 3 cm on the drawing. What is its real length?
4
A map uses 1 cm for 19 km. Two towns are 57 km apart. How far apart should they be on the map?
5
A drawing uses 1 cm for 12 m. A wall measures 14 cm on the drawing. What is its real length?
6
A map uses 1 cm for 11 km. Two towns are 143 km apart. How far apart should they be on the map?
7
A drawing uses 1 cm for 11 m. A wall measures 10 cm on the drawing. What is its real length?
8
A map uses 1 cm for 9 km. Two towns are 54 km apart. How far apart should they be on the map?
9
A drawing uses 1 cm for 13 m. A wall measures 7 cm on the drawing. What is its real length?
10
A map uses 1 cm for 5 km. Two towns are 75 km apart. How far apart should they be on the map?
11
A drawing uses 1 cm for 14 m. A wall measures 14 cm on the drawing. What is its real length?
12
A map uses 1 cm for 10 km. Two towns are 110 km apart. How far apart should they be on the map?
13
A drawing uses 1 cm for 15 m. A wall measures 14 cm on the drawing. What is its real length?
14
A map uses 1 cm for 13 km. Two towns are 65 km apart. How far apart should they be on the map?

Answer Key

1. 78 m2. 14 cm3. 27 m4. 3 cm5. 168 m6. 13 cm7. 110 m8. 6 cm9. 91 m10. 15 cm11. 196 m12. 11 cm13. 210 m14. 5 cm

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this scale drawings - worksheet 6 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this proportional relationships worksheet cover?

This worksheet focuses on proportional relationships, geometry. It is designed for 7th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 14 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.