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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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4. 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 length changes from 44 units to 1010 units. What is the scale factor?

Please select an answer first.

Correct answer: A

The correct answer is 2.52.5.

  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 the image length by the original: 10÷4=2.510\div4=2.5.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Divide the image length by the original: 10÷4=2.510\div4=2.5.

2. QuestionMultiple choice

A drawing length changes from 66 units to 1818 units. What is the scale factor?

Please select an answer first.

Correct answer: B

The correct answer is 33.

  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 18÷6=318\div6=3.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

The scale factor is 18÷6=318\div6=3.

3. QuestionMultiple choice

A segment of length 88 is enlarged to length 1212. What is the scale factor?

Please select an answer first.

Correct answer: C

The correct answer is 1.51.5.

  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 the new length by the original: 12÷8=1.512\div8=1.5.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Divide the new length by the original: 12÷8=1.512\div8=1.5.

4. QuestionMultiple choice

A segment of length 1515 is reduced to length 99. What is the scale factor?

Please select an answer first.

Correct answer: D

The correct answer is 0.60.6.

  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 the new length by the original: 9÷15=0.69\div15=0.6.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Divide the new length by the original: 9÷15=0.69\div15=0.6.

5. QuestionMultiple choice

A point (2,3)(2,3) is dilated from the origin by scale factor 22. What is the image point?

Please select an answer first.

Correct answer: A

The correct answer is (4,6)(4,6).

  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 both coordinates by 2: (2⋅2,3⋅2)=(4,6)(2\cdot2,3\cdot2)=(4,6).
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply both coordinates by 2: (2⋅2,3⋅2)=(4,6)(2\cdot2,3\cdot2)=(4,6).

6. QuestionMultiple choice

A rectangle is 44 units by 33 units. What are its dimensions after a scale factor of 22?

Please select an answer first.

Correct answer: B

The correct answer is 8 by 68\text{ by }6.

  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 each dimension by 2: 4⋅2=84\cdot2=8 and 3⋅2=63\cdot2=6.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply each dimension by 2: 4⋅2=84\cdot2=8 and 3⋅2=63\cdot2=6.

7. QuestionMultiple choice

If all lengths are multiplied by scale factor 33, by what factor does area change?

Please select an answer first.

Correct answer: C

The correct answer is 99.

  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 uses two dimensions, so the area factor is 32=93^2=9.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Area uses two dimensions, so the area factor is 32=93^2=9.

8. QuestionMultiple choice

A segment of length 55 is scaled by factor 0.40.4. What is the new length?

Please select an answer first.

Correct answer: D

The correct answer is 22.

  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 original length by the scale factor: 5⋅0.4=25\cdot0.4=2.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Multiply the original length by the scale factor: 5⋅0.4=25\cdot0.4=2.

9. QuestionMultiple choice

A map shows 2 cm2\text{ cm} for an actual distance of 10 km10\text{ km}. What is the scale rate per centimeter?

Please select an answer first.

Correct answer: A

The correct answer is 5 km/cm5\text{ km/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: Divide actual distance by map distance: 10÷2=510\div2=5 kilometers per centimeter.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Divide actual distance by map distance: 10÷2=510\div2=5 kilometers per centimeter.

10. QuestionMultiple choice

A drawing length of 66 units represents an actual length of 1818 units. What is the scale factor from drawing to actual?

Please select an answer first.

Correct answer: B

The correct answer is 33.

  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 drawing length: 18÷6=318\div6=3.
  3. Check the result: Confirm that the units match and that the actual measurement is consistent with the scale factor.

Divide actual length by drawing length: 18÷6=318\div6=3.

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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.