Free Printable WorksheetMathGeometryMath CurriculumSMP.6

GEO.173 Compute and interpret percent error in geometry contexts Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.173 Compute and interpret percent error in geometry contexts. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.173 Compute and interpret percent error in geometry contexts - Primary standard selected for prompt fields in this prompt cell: CCSS SMP.6. Skill statement in this prompt cell: Select the correct percent error computation and interpretation for a measurement situation. Associated standards listed with this skill in the curriculum source: CCSS SMP.6; G-CO.A.1; TEKS Process; CCSS G-MG.A.2-3; FL MA.912.GR.4.4-4.5; MA G-MG.A.2-3. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

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Below are sample questions representative of the exercises included on this worksheet and related GEO.173 Compute and interpret percent error in geometry contexts skill assessments:

Problem 1Difficulty: Mastery

A triangular lot has accepted area 1512 square m from exact survey dimensions. A rounded base and height calculation reports 1504 square m. Round to the nearest tenth if needed. Which choice correctly computes and interprets percent error?

Aabs(1504 - 1512) / 1512 * 100 = 0.5%; the rounded survey area is 0.5% too low.

Babs(1504 - 1512) / 1504 * 100 = 0.5%; the rounded survey area is 0.5% too low.

Cabs(1504 - 1512) / 1512 * 100 = 0.5%; the rounded survey area is 0.5% too high.

Dabs(1504 - 1512) = 8, so percent error is 8.0%; the rounded survey area is 8.0% too low.

Solution & Explanation:Percent error uses the accepted actual value in the denominator: |1504 - 1512| / 1512 * 100 = 0.5% rounded to the requested place. Because 1504 is less than 1512, the rounded survey area is 0.5% too low.

Problem 2Difficulty: Mastery

A tile mosaic has accepted area 77.5 square ft. A measuring app estimates 78.1 square ft. Round to the nearest tenth if needed. Which percent error statement is correct?

Aabs(78.1 - 77.5) = 0.6, so percent error is 0.6%; the measuring app area is 0.6% too high.

Babs(78.1 - 77.5) / 78.1 * 100 = 0.8%; the measuring app area is 0.8% too high.

Cabs(78.1 - 77.5) / 77.5 * 100 = 0.8%; the measuring app area is 0.8% too low.

Dabs(78.1 - 77.5) / 77.5 * 100 = 0.8%; the measuring app area is 0.8% too high.

Solution & Explanation:Percent error uses the accepted actual value in the denominator: |78.1 - 77.5| / 77.5 * 100 = 0.8% rounded to the requested place. Because 78.1 is greater than 77.5, the measuring app area is 0.8% too high.

Problem 3Difficulty: Mastery

Three volume estimates are checked: a prism is 819 cubic units instead of 840, a cone is 291 cubic units instead of 300, and a cylinder is 520 cubic units instead of 500. Which statement identifies the smallest percent error correctly?

AThe prism estimate has the smallest percent error: abs(819 - 840) / 840 * 100 = 2.5% too low.

BThe cone estimate has the smallest percent error: abs(291 - 300) / 291 * 100 = 3.1% too low.

CThe cylinder estimate has the smallest percent error: abs(520 - 500) / 500 * 100 = 4.0% too high.

DAll three estimates have the same percent error because each is off by a different number of cubic units.

Solution & Explanation:Compare each difference to its accepted value. Prism: 21 / 840 * 100 = 2.5% low. Cone: 9 / 300 * 100 = 3.0% low. Cylinder: 20 / 500 * 100 = 4.0% high. The prism has the smallest percent error.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard SMP.6 (Primary standard selected for prompt fields in this prompt cell: CCSS SMP.6. Skill statement in this prompt cell: Select the correct percent error computation and interpretation for a measurement situation. Associated standards listed with this skill in the curriculum source: CCSS SMP.6; G-CO.A.1; TEKS Process; CCSS G-MG.A.2-3; FL MA.912.GR.4.4-4.5; MA G-MG.A.2-3. Use this prompt-provided wording as the supporting standard description for this workflow.).