
Square roots and perfect squares
Authored by Claudia Emiliani
Mathematics
7th Grade
21 Questions
CCSS covered
Used 267+ times

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About
This quiz covers square roots and perfect squares, a fundamental topic in middle school mathematics appropriate for 7th grade students. The questions assess students' understanding of basic square root calculations, perfect square identification, radical notation terminology, squaring whole numbers, and estimation of irrational square roots. Students need to master the inverse relationship between squaring and finding square roots, memorize perfect squares up to at least 15², and develop number sense for estimating non-perfect square roots by identifying which two consecutive integers they fall between. The quiz also requires students to recognize patterns in perfect square sequences, distinguish between rational and irrational numbers, apply square roots to geometric contexts like finding side lengths from area, and understand mathematical vocabulary including "radical symbol," "radicand," and the concept of irrational numbers. Created by Claudia Emiliani, a Mathematics teacher in Colombia who teaches grade 7. This quiz provides comprehensive practice with square roots and perfect squares that can be effectively used for formative assessment, homework assignments, or review sessions before unit tests. Teachers can deploy this as a warm-up activity to activate prior knowledge, assign it for independent practice to reinforce classroom instruction, or use it as a quick check for understanding during guided practice. The variety of question types—from basic computational problems to conceptual understanding and real-world applications—makes it versatile for differentiated instruction and helps students build confidence with these essential algebraic concepts. This content aligns with standards 8.EE.A.2 and 8.NS.A.2, which focus on understanding square roots, cube roots, and working with rational and irrational numbers.
Content View
Student View
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
√ 16
Tags
CCSS.8.EE.A.2
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the square root of 25?
Tags
CCSS.6.EE.A.1
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What do we call √ ?
Tags
CCSS.8.EE.A.2
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
172 =
Tags
CCSS.6.EE.A.1
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
112 =
Tags
CCSS.6.EE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A perfect square is when a whole number is multiplied by itself?
Tags
CCSS.6.EE.A.1
7.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Between which two whole numbers is the
√5?
Tags
CCSS.8.NS.A.2
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