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Scale Drawings - Worksheet 10 - 7th Grade

Hard

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

hard: Use another set to practice explaining and checking your answers.

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

About This Worksheet

This hard-level worksheet contains 18 problems designed for 7th Grade students practicing scale drawings. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

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 4 cm on the drawing. What is its real length?
2
A map uses 1 cm for 14 km. Two towns are 28 km apart. How far apart should they be on the map?
3
A drawing uses 1 cm for 2 m. A wall measures 3 cm on the drawing. What is its real length?
4
A map uses 1 cm for 14 km. Two towns are 182 km apart. How far apart should they be on the map?
5
A drawing uses 1 cm for 13 m. A wall measures 4 cm on the drawing. What is its real length?
6
A map uses 1 cm for 8 km. Two towns are 80 km apart. How far apart should they be on the map?
7
A drawing uses 1 cm for 9 m. A wall measures 7 cm on the drawing. What is its real length?
8
A map uses 1 cm for 7 km. Two towns are 28 km apart. How far apart should they be on the map?
9
A drawing uses 1 cm for 6 m. A wall measures 8 cm on the drawing. What is its real length?
10
A map uses 1 cm for 9 km. Two towns are 81 km apart. How far apart should they be on the map?
11
A drawing uses 1 cm for 10 m. A wall measures 4 cm on the drawing. What is its real length?
12
A map uses 1 cm for 3 km. Two towns are 45 km apart. How far apart should they be on the map?
13
A drawing uses 1 cm for 5 m. A wall measures 11 cm on the drawing. What is its real length?
14
A map uses 1 cm for 20 km. Two towns are 100 km apart. How far apart should they be on the map?
15
A drawing uses 1 cm for 12 m. A wall measures 6 cm on the drawing. What is its real length?
16
A map uses 1 cm for 6 km. Two towns are 60 km apart. How far apart should they be on the map?
17
A drawing uses 1 cm for 2 m. A wall measures 8 cm on the drawing. What is its real length?
18
A map uses 1 cm for 20 km. Two towns are 260 km apart. How far apart should they be on the map?

Answer Key

1. 24 m2. 2 cm3. 6 m4. 13 cm5. 52 m6. 10 cm7. 63 m8. 4 cm9. 48 m10. 9 cm11. 40 m12. 15 cm13. 55 m14. 5 cm15. 72 m16. 10 cm17. 16 m18. 13 cm

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Frequently Asked Questions

How do I download this scale drawings - worksheet 10 worksheet?

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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 18 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.