How does the unlimited square roots 1 to 20 worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of square roots 1 to 20 problems with unique numbers. No two worksheets are ever the same — perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

Are these square roots 1 to 20 worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.

🎓 Grades 6-8📄 Free PDF + Keys♾️ Dynamic Generator

Square Roots 1 to 20FREEWorksheet Generator(Grades 6-8)

Square Roots 1 to 20 worksheets with step-by-step answer keys. Generate unlimited unique practice sheets with fresh problems for Grades 6–8.

🎯 Square Root Range Worksheets:Switch to Cube Roots (∛) ➔

Roots 1–20Core CCSS Roots 1–50 Roots 1–100 Custom Generator

Level:

Set:

Count:

Key in PrintShow Steps

Set A • 10 Qs

PanMaths.comSquare Roots 1 to 20 Worksheet Generator with Answers • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

1.16

= ______

Workspace:

2.121

= ______

Workspace:

3.225

= ______

Workspace:

4.81

= ______

Workspace:

5.100

= ______

Workspace:

6.64

= ______

Workspace:

7.256

= ______

Workspace:

8.324

= ______

Workspace:

9.289

= ______

Workspace:

10.49

= ______

Workspace:

PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

1.16

= 4

1. Benchmark Fact: 4² = 4 × 4 = 16

2. Apply Radical: √(16) = √(4²) = 4

3. Value: √16 = 4 ✅

2.121

= 11

1. Benchmark Fact: 11² = 11 × 11 = 121

2. Apply Radical: √(121) = √(11²) = 11

3. Value: √121 = 11 ✅

3.225

= 15

1. Prime Factorize: 225 = 3² × 5²

2. Group into Pairs: √(3² × 5²) = 3 × 5

3. Calculate: 3 × 5 = 15 ✅

4.81

= 9

1. Benchmark Fact: 9² = 9 × 9 = 81

2. Apply Radical: √(81) = √(9²) = 9

3. Value: √81 = 9 ✅

5.100

= 10

1. Benchmark Fact: 10² = 10 × 10 = 100

2. Apply Radical: √(100) = √(10²) = 10

3. Value: √100 = 10 ✅

6.64

= 8

1. Benchmark Fact: 8² = 8 × 8 = 64

2. Apply Radical: √(64) = √(8²) = 8

3. Value: √64 = 8 ✅

7.256

= 16

1. Prime Factorize: 256 = 2⁸

2. Group into Pairs: √(2⁸) = 2⁴

3. Calculate: 2⁴ = 16 ✅

8.324

= 18

1. Prime Factorize: 324 = 2² × 3⁴

2. Group into Pairs: √(2² × 3⁴) = 2 × 3²

3. Calculate: 2 × 3² = 18 ✅

9.289

= 17

1. Prime Identity: 17 is prime; 17² = 17 × 17 = 289

2. Apply Radical: √(289) = 17

3. Value: √289 = 17 ✅

10.49

= 7

1. Benchmark Fact: 7² = 7 × 7 = 49

2. Apply Radical: √(49) = √(7²) = 7

3. Value: √49 = 7 ✅

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categoryarithmetic

Grade LevelGrades 6-8

DifficultyFoundational (Roots 1 to 20, Radicands 1 to 400)

Time10-15 min

Skills Practiced

✓ Square roots 1 to 20 automaticity
✓ Perfect square recognition (1 to 400)
✓ Inverse operations of squaring
✓ CCSS.8.EE.A.2 core standard

Related Worksheets

📄 Square Roots 1 to 50 Generator with AnswersView →📄 Square Roots 1 to 100 Generator with AnswersView →📄 Square Root (1 to 20 & 1 to 100)View →📄 Cube Roots 1 to 10 Generator with AnswersView →📄 Cube Root Generator (1 to 10 & 1 to 100) with AnswersView →📄 3-Digit by 2-Digit MultiplicationView →

Why Focus on the 1–20 Range?

Algebra and geometry frequently require students to solve equations like x² = 169 (giving x = 13) or find right-triangle hypotenuses like √(9² + 12²) = √225 = 15. Students who instantly recognize squares up to 400 calculate 3x faster without reaching for a calculator.

Anti-Cheat Sets & Step-by-Step Keys

Every generation randomizes problem order. Use Set A for classroom tests and Set B for alternate seating to stop wandering eyes, complete with full step-by-step answer keys on Page 2 for 30-second grading.