Free Printable WorksheetMathGrade 7Math CurriculumMA.7.DP.1.4

7.133 Circle graphs and proportional reasoning Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.133 Circle graphs and proportional reasoning. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.133 Circle graphs and proportional reasoning - In multiple-choice items, students select the correct sector size or percent in a circle graph and choose the correct part-to-whole interpretation. (FL MA.7.DP.1.4; TX 7.6(G); CCSS 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 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 7.133 Circle graphs and proportional reasoning skill assessments:

Problem 1Difficulty: Mastery
A technology circle graph is made from 54 Laptop responses, 36 Tablet responses, 30 Phone responses, and 10 Desktop responses. What is the best estimate for the Laptop sector angle?
A120 degrees
B135 degrees
C150 degrees
D180 degrees
Solution & Explanation:The total is 54 + 36 + 30 + 10 = 130. Laptop is 54/130 of the whole, and 54/130 × 360 is about 149.5 degrees, which is closest to 150 degrees.
Problem 2Difficulty: Mastery
A collection circle graph has Part A as 60% of the whole, Part B as 1/5 of the whole, and Part C as the rest. The whole collection has 90 items. Which part-to-whole interpretation is correct for Part C?
APart C represents 10 items, or 10% of the whole.
BPart C represents 18 items, or 20% of the whole.
CPart C represents 36 items, or 40% of the whole.
DPart C represents 54 items, or 60% of the whole.
Solution & Explanation:Part B is 1/5, or 20%. Part C is 100% - 60% - 20% = 20%. Twenty percent of 90 is 18 items.
Problem 3Difficulty: Mastery
A circle graph is labeled with sector angles of 81 degrees, 99 degrees, 72 degrees, and one missing angle. What percent is the missing sector?
A20%
B25%
C30%
D35%
Solution & Explanation:The given angles total 252 degrees, so the missing angle is 108 degrees. 108/360 = 30%.

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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 MA.7.DP.1.4 (Primary standard selected for prompt fields in this prompt cell: FL MA.7.DP.1.4. Skill statement in this prompt cell: In multiple-choice items, students select the correct sector size or percent in a circle graph and choose the correct part-to-whole interpretation. Associated standards listed with this skill in this prompt cell: FL MA.7.DP.1.4; TX 7.6(G); CCSS 7.RP.A.3. Use this prompt-provided wording as the supporting standard description for this workflow.).

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