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Grade 7 Math · Scale Drawings

Grade 7 Scale Drawings Practice Test

Build Grade 7 Math skills with five 10-question practice tests on map scales, models, scale factors, dilations, perimeter, area, and real-world measurements.

Scale Drawings Practice Tests

These Grade 7 Math practice tests help students use scales to compare drawings, maps, models, and actual objects. Students work with scale rates, scale factors, dilations, map distances, dimensions, perimeter, and area.

Skills covered

  • Using a scale rate to find actual or drawing measurements
  • Finding scale factors and applying them to lengths
  • Interpreting maps, blueprints, models, and enlargements
  • Applying scale factors to perimeter and area
  • Using coordinate dilations from the origin
  • Keeping measurement units consistent

How to use these practice tests

Write the scale as a ratio or unit rate before calculating. Multiply when moving from a drawing to a larger actual measurement, and divide when finding the drawing measurement from an actual value. Length and perimeter use the scale factor once; area uses the square of the scale factor.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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3. Test

Grade 7 Scale Drawings Practice Tests

A 10-question Grade 7 Math practice test on scale drawings, maps, models, scale factors, dilations, perimeter, and area.

Match the drawing or map measurement to the actual measurement, keep units consistent, and apply the scale factor to lengths, perimeter, or area as required.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A drawing is 5 cm5\text{ cm} long at the scale 1 cm=3 m1\text{ cm}=3\text{ m}. What is the actual length?

Please select an answer first.

Correct answer: A

The correct answer is 15 m15\text{ m}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Multiply by the scale rate: 5⋅3=155\cdot3=15 meters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply by the scale rate: 5⋅3=155\cdot3=15 meters.

2. QuestionMultiple choice

A map route is 8 in8\text{ in} long at the scale 1 in=5 mi1\text{ in}=5\text{ mi}. What is the actual distance?

Please select an answer first.

Correct answer: B

The correct answer is 40 mi40\text{ mi}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Multiply by 5 miles per inch: 8⋅5=408\cdot5=40 miles.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply by 5 miles per inch: 8⋅5=408\cdot5=40 miles.

3. QuestionMultiple choice

A model segment is 12 cm12\text{ cm} long at the scale 2 cm=3 m2\text{ cm}=3\text{ m}. What is the actual length?

Please select an answer first.

Correct answer: C

The correct answer is 18 m18\text{ m}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: The scale factor is 3÷2=1.53\div2=1.5. Then 12⋅1.5=1812\cdot1.5=18 meters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The scale factor is 3÷2=1.53\div2=1.5. Then 12⋅1.5=1812\cdot1.5=18 meters.

4. QuestionMultiple choice

A map distance is 9 cm9\text{ cm} at the scale 1 cm=1 km1\text{ cm}=1\text{ km}. What is the actual distance?

Please select an answer first.

Correct answer: D

The correct answer is 9 km9\text{ km}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: With 1 kilometer for every centimeter, 9 centimeters represent 9 kilometers.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

With 1 kilometer for every centimeter, 9 centimeters represent 9 kilometers.

5. QuestionMultiple choice

A drawing segment is 4 in4\text{ in} at the scale 12 in=2 ft\frac{1}{2}\text{ in}=2\text{ ft}. What is the actual length?

Please select an answer first.

Correct answer: A

The correct answer is 16 ft16\text{ ft}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Four inches contains 8 half-inch units. Multiply by 2 feet: 8⋅2=168\cdot2=16 feet.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Four inches contains 8 half-inch units. Multiply by 2 feet: 8⋅2=168\cdot2=16 feet.

6. QuestionMultiple choice

A drawing is 4.5 cm4.5\text{ cm} at the scale 1 cm=6 ft1\text{ cm}=6\text{ ft}. What is the actual length?

Please select an answer first.

Correct answer: B

The correct answer is 27 ft27\text{ ft}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Multiply by the scale rate: 4.5⋅6=274.5\cdot6=27 feet.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply by the scale rate: 4.5⋅6=274.5\cdot6=27 feet.

7. QuestionMultiple choice

A model segment is 8 cm8\text{ cm} at scale 1:501:50. What is the actual length?

Please select an answer first.

Correct answer: C

The correct answer is 400 cm400\text{ cm}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Multiply the model length by 50: 8⋅50=4008\cdot50=400 centimeters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply the model length by 50: 8⋅50=4008\cdot50=400 centimeters.

8. QuestionMultiple choice

A map distance is 2.5 in2.5\text{ in} at the scale 1 in=12 ft1\text{ in}=12\text{ ft}. What is the actual length?

Please select an answer first.

Correct answer: D

The correct answer is 30 ft30\text{ ft}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Multiply by 12 feet per inch: 2.5⋅12=302.5\cdot12=30 feet.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply by 12 feet per inch: 2.5⋅12=302.5\cdot12=30 feet.

9. QuestionMultiple choice

A drawing is 8 cm8\text{ cm} at the scale 3 cm=15 m3\text{ cm}=15\text{ m}. What is the actual length?

Please select an answer first.

Correct answer: A

The correct answer is 40 m40\text{ m}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: The rate is 5 meters per centimeter. Then 8⋅5=408\cdot5=40 meters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The rate is 5 meters per centimeter. Then 8⋅5=408\cdot5=40 meters.

10. QuestionMultiple choice

A plan segment is 5 cm5\text{ cm} at scale 1:2001:200. What is the actual length?

Please select an answer first.

Correct answer: B

The correct answer is 10 m10\text{ m}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: The actual length is 5⋅200=10005\cdot200=1000 centimeters, or 10 meters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The actual length is 5⋅200=10005\cdot200=1000 centimeters, or 10 meters.

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Frequently asked questions about Grade 7 Scale Drawings

What is a scale drawing?

A scale drawing represents an object or distance at a proportional size, using a consistent relationship between drawing measurements and actual measurements.

How does a scale factor affect area?

If lengths are multiplied by a scale factor k, area is multiplied by k squared because area uses two dimensions.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Scale Drawings questions in total.