Free Printable WorksheetMathGrade 4Math Curriculum4.147

4.147 Use Fractions to Find the Measure of an Angle Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.147 Use Fractions to Find the Measure of an Angle. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a fraction of a circle and the full-circle measure, select the correct angle measure in degrees and the matching diagram. (Enrichment; supports angle reasoning)

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 4

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 4.147 Use Fractions to Find the Measure of an Angle skill assessments:

Problem 1Difficulty: Mastery
A final challenge spinner marks 53/60 of the full circle. A full circle measures 360 degrees. Look at the four diagrams labeled A-D. Which option gives the angle measure and the diagram that matches 53/60 of the circle?
A324 degrees and Diagram A
B312 degrees and Diagram B
C330 degrees and Diagram C
D318 degrees and Diagram D
Solution & Explanation:A full circle is 360 degrees. Divide 360 by 60 to get 6 degrees per equal part, then multiply by 53: 6 × 53 = 318. So 53/60 of the circle is 318 degrees, and the matching diagram is Diagram D.
Problem 2Difficulty: Mastery
A round gauge diagram fills 43/60 of the circle. A full circle measures 360 degrees. Look at the four diagrams labeled A-D. Which option gives the angle measure and the diagram that matches 43/60 of the circle?
A264 degrees and Diagram A
B252 degrees and Diagram B
C258 degrees and Diagram C
D270 degrees and Diagram D
Solution & Explanation:A full circle is 360 degrees. Divide 360 by 60 to get 6 degrees per equal part, then multiply by 43: 6 × 43 = 258. So 43/60 of the circle is 258 degrees, and the matching diagram is Diagram C.
Problem 3Difficulty: Mastery
A minute-style circle model highlights 23/60 of a full circle. A full circle measures 360 degrees. Look at the four diagrams labeled A-D. Which option gives the angle measure and the diagram that matches 23/60 of the circle?
A144 degrees and Diagram A
B138 degrees and Diagram B
C132 degrees and Diagram C
D150 degrees and Diagram D
Solution & Explanation:A full circle is 360 degrees. Divide 360 by 60 to get 6 degrees per equal part, then multiply by 23: 6 × 23 = 138. So 23/60 of the circle is 138 degrees, and the matching diagram is Diagram B.

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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 4 Math students. It aligns with educational standard 4.147 (No formal standard code is listed for this source row in the prompt cell. Skill statement in this prompt cell: Given a fraction of a circle and the full-circle measure, select the correct angle measure in degrees and the matching diagram. Additional source note attached to this skill in the prompt cell: Enrichment; supports angle reasoning. Use this curriculum wording and the source skill identifier 4.147 as the best available supporting standard description for this prompt-prep workflow.).

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