NumicornNumicornLearn, solve, progress

Grade 7 Math · Proportional Relationships

Grade 7 Proportional Relationships Practice Test

Build Grade 7 Math skills with five 10-question practice tests on unit rates, constants of proportionality, tables, equations, graphs, and real-world relationships.

Proportional Relationships Practice Tests

These Grade 7 Math practice tests help students recognize and solve proportional relationships. Students work with unit rates, constants of proportionality, tables, equations, graphs through the origin, scale relationships, and real-world rates.

Skills covered

  • Finding unit rates and constants of proportionality
  • Using equations such as y = kx
  • Completing proportional tables
  • Identifying proportional graphs that pass through the origin
  • Solving scale, rate, cost, distance, recipe, and work problems
  • Checking whether two quantities maintain a constant ratio

How to use these practice tests

For a proportional relationship, the ratio y/x stays constant. Find the unit rate or constant of proportionality first, then use y = kx or an equivalent proportion to solve for the missing value. A proportional graph passes through the origin.

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

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

4. Test

Grade 7 Proportional Relationships Practice Tests

A 10-question Grade 7 Math practice test on constant of proportionality, unit rates, tables, equations, graphs, and real-world proportional relationships.

Find the constant ratio or unit rate, write the proportional equation, and use the relationship to solve for the missing value.

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

Three notebooks cost $6 at a constant rate. How much do eight notebooks cost?

Please select an answer first.

Correct answer: A

The correct answer is $16.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The unit price is 6÷3=26\div3=2 dollars, so 8⋅2=168\cdot2=16 dollars.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The unit price is 6÷3=26\div3=2 dollars, so 8⋅2=168\cdot2=16 dollars.

2. QuestionMultiple choice

On a map, 1 inch represents 4 miles. How many miles does 7 inches represent?

Please select an answer first.

Correct answer: B

The correct answer is 2828 miles.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Use the proportional rate: 7⋅4=287\cdot4=28 miles.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Use the proportional rate: 7⋅4=287\cdot4=28 miles.

3. QuestionMultiple choice

A recipe uses 2 cups of flour for 5 servings. How much flour is needed for 8 servings?

Please select an answer first.

Correct answer: C

The correct answer is 3.23.2 cups.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The unit rate is 2÷5=0.42\div5=0.4 cup per serving. Then 8⋅0.4=3.28\cdot0.4=3.2 cups.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The unit rate is 2÷5=0.42\div5=0.4 cup per serving. Then 8⋅0.4=3.28\cdot0.4=3.2 cups.

4. QuestionMultiple choice

A car travels 150 miles on 5 gallons of gas. How far can it travel on 8 gallons at the same rate?

Please select an answer first.

Correct answer: D

The correct answer is 240240 miles.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The rate is 150÷5=30150\div5=30 miles per gallon. Then 8⋅30=2408\cdot30=240 miles.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The rate is 150÷5=30150\div5=30 miles per gallon. Then 8⋅30=2408\cdot30=240 miles.

5. QuestionMultiple choice

Four pencils cost $3. How much do 10 pencils cost at the same rate?

Please select an answer first.

Correct answer: A

The correct answer is $7.50.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The unit price is 3÷4=0.753\div4=0.75 dollars. Then 10⋅0.75=7.5010\cdot0.75=7.50 dollars.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The unit price is 3÷4=0.753\div4=0.75 dollars. Then 10⋅0.75=7.5010\cdot0.75=7.50 dollars.

6. QuestionMultiple choice

Six workers package 18 boxes per hour. How many boxes can 10 workers package per hour at the same rate?

Please select an answer first.

Correct answer: B

The correct answer is 3030 boxes.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: Each worker packages 18÷6=318\div6=3 boxes per hour. Then 10⋅3=3010\cdot3=30 boxes.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

Each worker packages 18÷6=318\div6=3 boxes per hour. Then 10⋅3=3010\cdot3=30 boxes.

7. QuestionMultiple choice

A scale uses 2 centimeters for every 5 meters. How many meters does 14 centimeters represent?

Please select an answer first.

Correct answer: C

The correct answer is 3535 meters.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The rate is 5÷2=2.55\div2=2.5 meters per centimeter. Then 14⋅2.5=3514\cdot2.5=35 meters.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The rate is 5÷2=2.55\div2=2.5 meters per centimeter. Then 14⋅2.5=3514\cdot2.5=35 meters.

8. QuestionMultiple choice

Four tickets cost $36. How much do seven tickets cost at the same rate?

Please select an answer first.

Correct answer: D

The correct answer is $63.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The unit price is 36÷4=936\div4=9 dollars. Then 7⋅9=637\cdot9=63 dollars.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The unit price is 36÷4=936\div4=9 dollars. Then 7⋅9=637\cdot9=63 dollars.

9. QuestionMultiple choice

A student reads 40 pages in 5 days at a constant rate. How many pages will the student read in 8 days?

Please select an answer first.

Correct answer: A

The correct answer is 6464 pages.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The rate is 40÷5=840\div5=8 pages per day. Then 8⋅8=648\cdot8=64 pages.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The rate is 40÷5=840\div5=8 pages per day. Then 8⋅8=648\cdot8=64 pages.

10. QuestionMultiple choice

A recipe makes 3 servings with 12 ounces of an ingredient. How many ounces are needed for 8 servings?

Please select an answer first.

Correct answer: B

The correct answer is 3232 ounces.

  1. Identify the proportional relationship: Compare the quantities and determine the constant of proportionality or unit rate.
  2. Use the relationship: The rate is 12÷3=412\div3=4 ounces per serving. Then 8⋅4=328\cdot4=32 ounces.
  3. Check the result: Substitute the values back into the equation or compare the unit rates to verify the answer.

The rate is 12÷3=412\div3=4 ounces per serving. Then 8⋅4=328\cdot4=32 ounces.

Previous testNext test

Frequently asked questions about Grade 7 Proportional Relationships

What is a proportional relationship?

It is a relationship in which the ratio between corresponding values stays constant and can be written as y = kx.

What is the constant of proportionality?

The constant of proportionality is the unit rate k, found by dividing y by x in a proportional pair.

How many questions are on this page?

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