Free Printable WorksheetMathGrade 8Math Curriculum8.EE.A.2

8.15 Recognizing Perfect Squares and Perfect Cubes Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.15 Recognizing Perfect Squares and Perfect Cubes. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.15 Recognizing Perfect Squares and Perfect Cubes - Which number is a perfect square or a perfect cube? (CCSS 8.EE.A.2; CA 8.EE.A.2; MA 8.EE.A.2)

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 8.15 Recognizing Perfect Squares and Perfect Cubes skill assessments:

Problem 1Difficulty: Hard
After 900, what is the next perfect square?
Solution & Explanation:302 = 900, so the next perfect square is 312 = 961.
Problem 2Difficulty: Hard
A number is both a perfect square and a perfect cube. Which form always works?
An4 for some whole number n
Bn5 for some whole number n
Cn6 for some whole number n
Dn9 for some whole number n
Solution & Explanation:A number that is both must have exponents divisible by 2 and by 3, so it can be written as n6.
Problem 3Difficulty: Hard
Which option is both square and cube and also has a two-digit square root?
A729
B1000
C1331
D1728
Solution & Explanation:729 = 272 and also 729 = 93, so it fits both conditions.

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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 8.EE.A.2 (Primary standard selected for prompt fields: CCSS 8.EE.A.2. Skill statement: Which number is a perfect square or a perfect cube? Associated standards listed with this skill: CCSS 8.EE.A.2; CA 8.EE.A.2; MA 8.EE.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).

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