
Perfect Squares Practice
Authored by Courtney Fox
Mathematics
8th Grade
CCSS covered
Used 71+ times

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About
This quiz comprehensively covers square roots and perfect squares at the 8th-grade level, with extensions into cube roots and radical estimation. Students need a solid foundation in multiplication facts, particularly knowing the products when numbers from 1 to 20 are multiplied by themselves. The core mathematical reasoning involves recognizing perfect square patterns, understanding the inverse relationship between squaring and taking square roots, and developing number sense for estimating irrational square roots. Students must also grasp the concept that perfect squares are products of whole numbers multiplied by themselves, distinguish between rational and irrational square roots, and apply rounding skills to approximate radical expressions to specified decimal places. The quiz progresses from basic perfect square identification through more complex applications including pattern recognition, estimation between consecutive integers, and connections to perfect cubes. Created by Courtney Fox, a Mathematics teacher in the US who teaches grade 8. This quiz serves as an excellent tool for formative assessment, homework practice, or review sessions when students are mastering radical operations and number theory concepts. Teachers can use individual sections for targeted warm-ups focusing on specific skills like perfect square recognition or radical estimation, while the complete quiz provides comprehensive practice for unit reviews or test preparation. The variety of question types—from direct computation to conceptual understanding and estimation—allows educators to assess different levels of student mastery and identify areas needing additional instruction. This assessment aligns with standards 8.EE.A.2 (working with radicals and integer exponents) and 8.NS.A.2 (approximating irrational numbers), supporting students' development of number sense and algebraic reasoning skills essential for high school mathematics.
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40 questions
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1.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
√81
Tags
CCSS.6.EE.A.1
2.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
√100
Tags
CCSS.6.EE.A.1
3.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
√16
Tags
CCSS.6.EE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
√121
Tags
CCSS.6.EE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
√256
Tags
CCSS.6.EE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
√361
Tags
CCSS.8.NS.A.2
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
√64
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