Scale Drawings - Worksheet 8 - 7th Grade

Hard

Solve problems using scale drawings and scale factors (Hard)

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.

Scale drawings are used everywhere — in architecture, cartography, engineering, and art. Understanding them applies proportional reasoning to spatial problems and gives students a concrete context for the abstract concept of similar figures.

  • Interpret a scale factor and use it to find actual lengths
  • Create scale drawings from real measurements
  • Solve problems involving scale factors and map scales
  • Calculate the scale factor between two similar figures
  • Use a map scale to find the real distance between two locations

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
18 + 19 =
2
19 + 4 =
3
17 + 14 =
4
14 + 7 =
5
6 + 12 =
6
17 + 19 =
7
18 + 14 =
8
20 + 6 =
9
16 + 11 =
10
5 + 14 =
11
7 + 5 =
12
17 + 16 =
13
1 + 13 =
14
15 + 5 =
15
3 + 6 =
16
16 + 18 =
17
18 + 18 =
18
1 + 16 =

Answer Key

1. 372. 233. 314. 215. 186. 367. 328. 269. 2710. 1911. 1212. 3313. 1414. 2015. 916. 3417. 3618. 17

Frequently Asked Questions

How do I download this scale drawings - worksheet 8 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. 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 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.