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Square roots and perfect squares

Authored by Claudia Emiliani

Mathematics

7th Grade

21 Questions

CCSS covered

Used 267+ times

Square roots and perfect squares
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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 

8
3
4
6

Tags

CCSS.8.EE.A.2

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the square root of 25?

5
12
3
6

Tags

CCSS.6.EE.A.1

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What do we call √ ?

radicand
radical symbol
cube root
index

Tags

CCSS.8.EE.A.2

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

172 =

34
289
225
324

Tags

CCSS.6.EE.A.1

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

11=

22
44
144
121

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?

FALSE
TRUE

Tags

CCSS.6.EE.A.1

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Between which two whole numbers is the
√5?

1 and 2
2 and 3
3 and 4
4 and 5

Tags

CCSS.8.NS.A.2

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