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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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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

A price increases from $50 to $60. What is the percent increase?

Please select an answer first.

Correct answer: A

The correct answer is 20%20\%.

  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 increase is $10. Divide by the original price: 10÷50=0.20=20%10\div50=0.20=20\%.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The increase is $10. Divide by the original price: 10÷50=0.20=20%10\div50=0.20=20\%.

2. QuestionMultiple choice

A population decreases from 80 to 68. What is the percent decrease?

Please select an answer first.

Correct answer: B

The correct answer is 15%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: The decrease is 12. Divide by the original: 12÷80=0.15=15%12\div80=0.15=15\%.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The decrease is 12. Divide by the original: 12÷80=0.15=15%12\div80=0.15=15\%.

3. QuestionMultiple choice

A $40 item is discounted by 25%25\%. What is the sale price?

Please select an answer first.

Correct answer: C

The correct answer is $30.

  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 discount is 0.25⋅40=100.25\cdot40=10 dollars, so the sale price is 40−10=3040-10=30 dollars.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The discount is 0.25⋅40=100.25\cdot40=10 dollars, so the sale price is 40−10=3040-10=30 dollars.

4. QuestionMultiple choice

An $25 purchase has an 8%8\% tax. What is the total cost?

Please select an answer first.

Correct answer: D

The correct answer is $27.

  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 tax is 0.08⋅25=20.08\cdot25=2 dollars, so the total is 25+2=2725+2=27 dollars.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The tax is 0.08⋅25=20.08\cdot25=2 dollars, so the total is 25+2=2725+2=27 dollars.

5. QuestionMultiple choice

A value of 72 increases by 10%10\%. What is the new value?

Please select an answer first.

Correct answer: A

The correct answer is 79.279.2.

  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: The increase is 0.10⋅72=7.20.10\cdot72=7.2, so the new value is 72+7.2=79.272+7.2=79.2.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The increase is 0.10⋅72=7.20.10\cdot72=7.2, so the new value is 72+7.2=79.272+7.2=79.2.

6. QuestionMultiple choice

A $150 amount decreases by 20%20\%. What is the new amount?

Please select an answer first.

Correct answer: B

The correct answer is $120.

  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 decrease is 0.20⋅150=300.20\cdot150=30, so 150−30=120150-30=120.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The decrease is 0.20⋅150=300.20\cdot150=30, so 150−30=120150-30=120.

7. QuestionMultiple choice

What is a 15%15\% tip on a $48 bill?

Please select an answer first.

Correct answer: C

The correct answer is $7.20.

  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: Calculate 0.15⋅48=7.200.15\cdot48=7.20 dollars.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

Calculate 0.15⋅48=7.200.15\cdot48=7.20 dollars.

8. QuestionMultiple choice

A $90 item is marked down by 30%30\%. What is the sale price?

Please select an answer first.

Correct answer: D

The correct answer is $63.

  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 discount is 0.30⋅90=270.30\cdot90=27, so the sale price is 90−27=6390-27=63 dollars.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The discount is 0.30⋅90=270.30\cdot90=27, so the sale price is 90−27=6390-27=63 dollars.

9. QuestionMultiple choice

A value changes from 120 to 150. What is the percent increase?

Please select an answer first.

Correct answer: A

The correct answer is 25%25\%.

  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 increase is 30. Divide by 120: 30÷120=0.25=25%30\div120=0.25=25\%.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The increase is 30. Divide by 120: 30÷120=0.25=25%30\div120=0.25=25\%.

10. QuestionMultiple choice

A population of 800 increases by 12.5%12.5\%. What is the new population?

Please select an answer first.

Correct answer: B

The correct answer is 900900.

  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 increase is 0.125⋅800=1000.125\cdot800=100, so the new population is 800+100=900800+100=900.
  3. Check the scale and units: Confirm that corresponding quantities are in the same order, units are consistent, and the result is reasonable.

The increase is 0.125⋅800=1000.125\cdot800=100, so the new population is 800+100=900800+100=900.

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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.