Free Printable WorksheetMathGrade 7Math Curriculum7.G.A.1

7.97 Area scaling with scale factor Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.97 Area scaling with scale factor. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.97 Area scaling with scale factor - In multiple-choice items, students choose the correct area scale factor (k squared) and the correct scaled area for similar figures. (CCSS 7.G.A.1; FL MA.7.GR.1.5; TX 7.5(C))

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 7

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 7.97 Area scaling with scale factor skill assessments:

Problem 1Difficulty: Mastery

A fabric patch is reduced so its side lengths are 45% of the original, or 9/20. The original area is 1600 square centimeters. Choose the area scale factor and reduced area.

Aarea scale factor = 9/20, scaled area = 720 square centimeters

Barea scale factor = 81/400, scaled area = 720 square centimeters

Carea scale factor = 400/81, scaled area = 640000/81 square centimeters

Darea scale factor = 81/400, scaled area = 324 square centimeters

Solution & Explanation:The side scale factor is 45% = 9/20. Area scales by the square of the side scale factor. Here k = 9/20, so k² = 81/400. The scaled area is 1600 × 81/400 = 324 square centimeters.

Problem 2Difficulty: Mastery

A sign is enlarged to 160% of its original side lengths. The original area is 125 square meters. What are the area scale factor and enlarged area?

Aarea scale factor = 8/5, scaled area = 200 square meters

Barea scale factor = 64/25, scaled area = 200 square meters

Carea scale factor = 64/25, scaled area = 320 square meters

Darea scale factor = 25/64, scaled area = 3125/64 square meters

Solution & Explanation:One hundred sixty percent of a side length is k = 8/5. Area scales by the square of the side scale factor. Here k = 8/5, so k² = 64/25. The scaled area is 125 × 64/25 = 320 square meters.

Problem 3Difficulty: Mastery

A blueprint is reduced to half-size in side length, then the reduced copy is enlarged by side factor 7. The original blueprint area is 16 square inches. What are the overall area scale factor and final area?

Aarea scale factor = 7/2, scaled area = 56 square inches

Barea scale factor = 49/4, scaled area = 196 square inches

Carea scale factor = 49/4, scaled area = 56 square inches

Darea scale factor = 4/49, scaled area = 64/49 square inches

Solution & Explanation:The overall side scale factor is 1/2 × 7 = 7/2. Area scales by the square of the side scale factor. Here k = 7/2, so k² = 49/4. The scaled area is 16 × 49/4 = 196 square inches.

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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 7 Math students. It aligns with educational standard 7.G.A.1 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.G.A.1. Skill statement in this prompt cell: In multiple-choice items, students choose the correct area scale factor (k squared) and the correct scaled area for similar figures. Associated standards listed with this skill in this prompt cell: CCSS 7.G.A.1; FL MA.7.GR.1.5; TX 7.5(C). Use this prompt-provided wording as the supporting standard description for this workflow.).