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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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5. 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 room drawing is 4 cm4\text{ cm} by 3 cm3\text{ cm} at the scale 1 cm=2 m1\text{ cm}=2\text{ m}. What is the actual area?

Please select an answer first.

Correct answer: A

The correct answer is 48 m248\text{ m}^2.

  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 dimensions are 8 meters by 6 meters. Area is 8⋅6=488\cdot6=48 square meters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The actual dimensions are 8 meters by 6 meters. Area is 8⋅6=488\cdot6=48 square meters.

2. QuestionMultiple choice

A map uses 1 cm=8 km1\text{ cm}=8\text{ km}. How far is a 5.5 cm5.5\text{ cm} route?

Please select an answer first.

Correct answer: B

The correct answer is 44 km44\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: Multiply by the scale rate: 5.5⋅8=445.5\cdot8=44 kilometers.
  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: 5.5⋅8=445.5\cdot8=44 kilometers.

3. QuestionMultiple choice

A model has scale 1:201:20. What actual height does a 7 cm7\text{ cm} model height represent?

Please select an answer first.

Correct answer: C

The correct answer is 140 cm140\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 20: 7⋅20=1407\cdot20=140 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 20: 7⋅20=1407\cdot20=140 centimeters.

4. QuestionMultiple choice

A blueprint uses 1 in=4 ft1\text{ in}=4\text{ ft}. A room measures 12 in12\text{ in} by 9 in9\text{ in}. What is the actual area?

Please select an answer first.

Correct answer: D

The correct answer is 1,728 ft21{,}728\text{ ft}^2.

  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 dimensions are 48 feet by 36 feet. Area is 48⋅36=172848\cdot36=1728 square feet.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The actual dimensions are 48 feet by 36 feet. Area is 48⋅36=172848\cdot36=1728 square feet.

5. QuestionMultiple choice

A figure has perimeter 1818. What is the perimeter after a scale factor of 22?

Please select an answer first.

Correct answer: A

The correct answer is 3636.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Perimeter scales by the same factor as length: 18⋅2=3618\cdot2=36.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Perimeter scales by the same factor as length: 18⋅2=3618\cdot2=36.

6. QuestionMultiple choice

A figure has area 8080. What is its area after a scale factor of 0.50.5?

Please select an answer first.

Correct answer: B

The correct answer is 2020.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Area scales by the square of the length factor: 80⋅0.52=80⋅0.25=2080\cdot0.5^2=80\cdot0.25=20.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Area scales by the square of the length factor: 80⋅0.52=80⋅0.25=2080\cdot0.5^2=80\cdot0.25=20.

7. QuestionMultiple choice

A map shows 3 in=24 mi3\text{ in}=24\text{ mi}. How far does 10 in10\text{ in} represent?

Please select an answer first.

Correct answer: C

The correct answer is 80 mi80\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: The rate is 24÷3=824\div3=8 miles per inch. Then 10⋅8=8010\cdot8=80 miles.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The rate is 24÷3=824\div3=8 miles per inch. Then 10⋅8=8010\cdot8=80 miles.

8. QuestionMultiple choice

A fence is 60 ft60\text{ ft} long. A drawing uses 1 in=5 ft1\text{ in}=5\text{ ft}. How long is the fence on the drawing?

Please select an answer first.

Correct answer: D

The correct answer is 12 in12\text{ in}.

  1. Identify the scale relationship: Determine which measurement is on the drawing or map and which is the actual measurement.
  2. Use the scale: Divide actual length by 5: 60÷5=1260\div5=12 inches.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Divide actual length by 5: 60÷5=1260\div5=12 inches.

9. QuestionMultiple choice

A triangle drawing has base 6 cm6\text{ cm} and height 4 cm4\text{ cm}. At the scale 1 cm=3 m1\text{ cm}=3\text{ m}, what is the actual area?

Please select an answer first.

Correct answer: A

The correct answer is 108 m2108\text{ m}^2.

  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 base and height are 18 meters and 12 meters. Triangle area is 12⋅18⋅12=108\frac{1}{2}\cdot18\cdot12=108 square meters.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The actual base and height are 18 meters and 12 meters. Triangle area is 12⋅18⋅12=108\frac{1}{2}\cdot18\cdot12=108 square meters.

10. QuestionMultiple choice

A photograph is 8 in8\text{ in} wide. An enlargement uses scale factor 1.51.5. What is the new width?

Please select an answer first.

Correct answer: B

The correct answer is 12 in12\text{ in}.

  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 enlargement factor: 8⋅1.5=128\cdot1.5=12 inches.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply by the enlargement factor: 8⋅1.5=128\cdot1.5=12 inches.

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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.