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Grade 7 Math · Ratios, Proportions and Percentages

Grade 7 Ratios, Proportions and Percentages Practice Test

Build Grade 7 Math skills with five 10-question practice tests on ratios, equivalent ratios, unit rates, proportions, percentages, scale drawings, percent change, discounts, tax, and applications.

Ratios, Proportions and Percentages Practice Tests

These Grade 7 Math practice tests help students represent and solve relationships with ratios, rates, proportions, and percentages. Students work with equivalent ratios, unit rates, scale drawings, percent conversions, percent of a number, percent change, discounts, tax, budgets, and real-world measurement problems.

Skills covered

  • Writing, simplifying, and comparing ratios
  • Finding unit rates and using rates to solve problems
  • Solving proportions with equivalent ratios and cross multiplication
  • Converting among fractions, decimals, and percentages
  • Finding a percent of a number and finding the whole from a percent
  • Applying scale, discounts, tax, percent increase, percent decrease, budgets, and unit price

How to use these practice tests

Keep corresponding quantities in the same order when setting up a ratio or proportion. Track units in unit-rate and scale problems. Convert percentages to decimals or fractions before calculating, use the original amount when finding percent change, and estimate to check whether the result is reasonable.

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

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1. Test

Grade 7 Ratios, Proportions and Percentages Practice Tests

A 10-question Grade 7 Math practice test on ratios, equivalent ratios, unit rates, proportions, percentages, scale drawings, percent change, and real-world applications.

Set up equivalent ratios or proportions, convert between fractions, decimals, and percentages, track units, and check whether each result is reasonable.

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

Which ratio is equivalent to 3:53:5?

Please select an answer first.

Correct answer: A

The correct answer is 6:106:10.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: Multiply both parts of 3:53:5 by 2 to get 6:106:10.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Multiply both parts of 3:53:5 by 2 to get 6:106:10.

2. QuestionMultiple choice

What is the simplest form of the ratio 18:2418:24?

Please select an answer first.

Correct answer: B

The correct answer is 3:43:4.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: Divide both terms by their greatest common factor, 6: 18÷6:24÷6=3:418\div6:24\div6=3:4.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Divide both terms by their greatest common factor, 6: 18÷6:24÷6=3:418\div6:24\div6=3:4.

3. QuestionMultiple choice

A bag has 7 red marbles and 3 blue marbles. What is the ratio of red marbles to all marbles?

Please select an answer first.

Correct answer: C

The correct answer is 7:107:10.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: There are 7+3=107+3=10 marbles, so the ratio of red to total is 7:107:10.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

There are 7+3=107+3=10 marbles, so the ratio of red to total is 7:107:10.

4. QuestionMultiple choice

The ratio of cats to dogs is 2:32:3. If there are 40 animals, how many are dogs?

Please select an answer first.

Correct answer: D

The correct answer is 2424.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: The ratio has 5 total parts. Each part is 40÷5=840\div5=8, so dogs account for 3⋅8=243\cdot8=24.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The ratio has 5 total parts. Each part is 40÷5=840\div5=8, so dogs account for 3⋅8=243\cdot8=24.

5. QuestionMultiple choice

A car travels 150 miles in 3 hours. What is the unit rate?

Please select an answer first.

Correct answer: A

The correct answer is 5050 miles per hour.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: Divide distance by time: 150÷3=50150\div3=50 miles per hour.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Divide distance by time: 150÷3=50150\div3=50 miles per hour.

6. QuestionMultiple choice

A group has 4 red cards and 6 blue cards. What is the ratio of red cards to blue cards in simplest form?

Please select an answer first.

Correct answer: B

The correct answer is 2:32:3.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: The ratio is 4:64:6. Divide both terms by 2 to get 2:32:3.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The ratio is 4:64:6. Divide both terms by 2 to get 2:32:3.

7. QuestionMultiple choice

What fraction represents the ratio 7:107:10?

Please select an answer first.

Correct answer: C

The correct answer is 710\frac{7}{10}.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: For the ratio of 7 to 10, write the first quantity over the second: 710\frac{7}{10}.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

For the ratio of 7 to 10, write the first quantity over the second: 710\frac{7}{10}.

8. QuestionMultiple choice

Solve the proportion x5=615\frac{x}{5}=\frac{6}{15}.

Please select an answer first.

Correct answer: D

The correct answer is x=2x=2.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: Since 615=25\frac{6}{15}=\frac{2}{5}, the numerator xx must be 2.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Since 615=25\frac{6}{15}=\frac{2}{5}, the numerator xx must be 2.

9. QuestionMultiple choice

Solve the proportion 34=x20\frac{3}{4}=\frac{x}{20}.

Please select an answer first.

Correct answer: A

The correct answer is x=15x=15.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: Multiply both sides by 20: x=20⋅34=15x=20\cdot\frac{3}{4}=15.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Multiply both sides by 20: x=20⋅34=15x=20\cdot\frac{3}{4}=15.

10. QuestionMultiple choice

Solve the ratio equation 8:12=x:98:12=x:9.

Please select an answer first.

Correct answer: B

The correct answer is x=6x=6.

  1. Identify the ratio or percent relationship: Determine whether the problem asks for an equivalent ratio, a unit rate, a proportion, a percent, a scale, or percent change.
  2. Set up the relationship: Write it as 812=x9\frac{8}{12}=\frac{x}{9}. Since 812=23\frac{8}{12}=\frac{2}{3}, x=9⋅23=6x=9\cdot\frac{2}{3}=6.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Write it as 812=x9\frac{8}{12}=\frac{x}{9}. Since 812=23\frac{8}{12}=\frac{2}{3}, x=9⋅23=6x=9\cdot\frac{2}{3}=6.

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Frequently asked questions about Grade 7 Ratios, Proportions and Percentages

What topics are covered?

The page covers ratios, equivalent ratios, simplifying ratios, unit rates, proportions, scale drawings, fraction-decimal-percent conversions, percent of a number, percent change, discounts, tax, budgets, and unit price.

How should students solve proportion and percentage problems?

Keep corresponding quantities in order, use equivalent ratios, convert percentages to decimals or fractions, identify the original amount for percent change, and check units and reasonableness.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Ratios, Proportions and Percentages questions in total.