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

8.16 Finding Integers Between Which a Square Root Lies Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.16 Finding Integers Between Which a Square Root Lies. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.16 Finding Integers Between Which a Square Root Lies - Between which two integers does sqrt(n) lie? (CCSS 8.NS.A.2; CA 8.NS.A.2; MA 8.NS.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 8.16 Finding Integers Between Which a Square Root Lies skill assessments:

Problem 1Difficulty: Hard
A square garden plot covers 2205 square meters. Which two meter lengths bound its side?
Abetween 47 m and 48 m
Bbetween 46 m and 47 m
Cbetween 45 m and 46 m
Dbetween 44 m and 45 m
Solution & Explanation:The side length of a square with area 2205 is sqrt(2205). Because 462 = 2116 and 472 = 2209, and 2116 < 2205 < 2209, the side length is between 46 and 47 meters.
Problem 2Difficulty: Hard
A square screen has area 1848 square inches. Between which inch lengths does one side lie?
Abetween 41 in. and 42 in.
Bbetween 44 in. and 45 in.
Cbetween 42 in. and 43 in.
Dbetween 43 in. and 44 in.
Solution & Explanation:The side length of a square with area 1848 is sqrt(1848). Because 422 = 1764 and 432 = 1849, and 1764 < 1848 < 1849, the side length is between 42 and 43 inches.
Problem 3Difficulty: Hard
A square patio section has area 1523 square feet. Between which whole-number foot lengths is one side?
Abetween 40 ft and 41 ft
Bbetween 39 ft and 40 ft
Cbetween 41 ft and 42 ft
Dbetween 38 ft and 39 ft
Solution & Explanation:The side length of a square with area 1523 is sqrt(1523). Because 392 = 1521 and 402 = 1600, and 1521 < 1523 < 1600, the side length is between 39 and 40 feet.

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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.NS.A.2 (Primary standard selected for prompt fields: CCSS 8.NS.A.2. Skill statement: Between which two integers does sqrt(n) lie? Associated standards listed with this skill: CCSS 8.NS.A.2; CA 8.NS.A.2; MA 8.NS.A.2. Use this embedded wording as the best available supporting standard description for this workflow.).

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