Free Printable WorksheetMathGrade 8Math Curriculum7.RP.A.3

8.171 Interpreting Percent Change and Percent Error Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.171 Interpreting Percent Change and Percent Error. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.171 Interpreting Percent Change and Percent Error - Which percent change or percent error is correct for the situation described? (CCSS 7.RP.A.3; CA 7.RP.A.3; MA 7.RP.A.3)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.171 Interpreting Percent Change and Percent Error skill assessments:

Problem 1Difficulty: Hard

Which statement is true?

AA scale reading of 27 for an actual value of 30 has a 10% error.

BAn estimate of 108 for an actual value of 120 has a 12% error.

CA tank that changes from 110 to 99 shows a 9% decrease.

DA store price that changes from 64 to 80 shows a 20% increase.

Solution & Explanation:A reading of 27 compared with an actual value of 30 has percent error abs(27 - 30) / 30 x 100 = 10%. The other statements are incorrect because 110 to 99 is a 10% decrease, 64 to 80 is a 25% increase, and 108 compared with 120 is a 10% error.

Problem 2Difficulty: Hard

A reading of 66 is corrected to the actual value 72. Which statement is correct?

ABoth the percent error and the percent increase are 8.3%.

BThe original reading had 8.3% error, and changing from 66 to 72 is a 9.1% increase.

CThe original reading had 9.1% error, and changing from 66 to 72 is a 8.3% increase.

DBoth the percent error and the percent increase are 9.1%.

Solution & Explanation:The percent error compares the reading to the actual value: abs(66 - 72) / 72 x 100 = 8.3%. The percent increase from 66 to 72 compares the change to 66, so it is 9.1%.

Problem 3Difficulty: Hard

A student says, 'If two situations have the same numerical increase, they must have the same percent increase.' Which option is the best counterexample?

A30 to 36 and 50 to 60, because both are percent increases of 20%.

B20 to 25 and 80 to 85, because both changes are 5 but the percent increases are different.

C18 to 21 and 30 to 35, because both changes are increases.

D40 to 32 and 60 to 48, because both are percent decreases of 20%.

Solution & Explanation:Going from 20 to 25 is an increase of 5, which is 25%. Going from 80 to 85 is also an increase of 5, but it is only 6.25%. The same numerical change can give different percent changes when the original values are different.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 7.RP.A.3 (Primary standard selected for prompt fields: CCSS 7.RP.A.3. Skill statement: Which percent change or percent error is correct for the situation described? Associated standards listed with this skill: CCSS 7.RP.A.3; CA 7.RP.A.3; MA 7.RP.A.3. Use this embedded wording as the best available supporting standard description for this workflow.).