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Square numbers & square roots
Evaluate whole-number squares (n²) and find exact positive square roots (√n). Review suitability for your learners before teaching.
Worksheet StudioPractice pack · Ages 7-9
Square numbers & square roots
Take your time. Show your thinking.
1. What is the positive square root of 81 (√81)?
2. What is the positive square root of 400 (√400)?
3. What is 3 squared (3²)?
4. What is 13 squared (13²)?
5. What is the positive square root of 256 (√256)?
6. What is the positive square root of 36 (√36)?
7. What is the positive square root of 324 (√324)?
8. What is the positive square root of 361 (√361)?
9. What is 8 squared (8²)?
10. What is 11 squared (11²)?
11. What is 10 squared (10²)?
12. What is the positive square root of 4 (√4)?
12 questions · Seed 47 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 7-9
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is the positive square root of 81 (√81)?
9Since 9 × 9 = 81, √81 = 9.
2. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
3. What is 3 squared (3²)?
4. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
5. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
6. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
7. What is the positive square root of 324 (√324)?
18Since 18 × 18 = 324, √324 = 18.
8. What is the positive square root of 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
9. What is 8 squared (8²)?
10. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
11. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
12. What is the positive square root of 4 (√4)?
2Since 2 × 2 = 4, √4 = 2.
12 questions · Seed 47 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9
Square numbers & square roots
Take your time. Show your thinking.
1. What is the positive square root of 81 (√81)?
2. What is the positive square root of 400 (√400)?
3. What is 3 squared (3²)?
4. What is 13 squared (13²)?
5. What is the positive square root of 256 (√256)?
6. What is the positive square root of 36 (√36)?
7. What is the positive square root of 324 (√324)?
8. What is the positive square root of 361 (√361)?
9. What is 8 squared (8²)?
10. What is 11 squared (11²)?
11. What is 10 squared (10²)?
12. What is the positive square root of 4 (√4)?
12 questions · Seed 47 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is the positive square root of 81 (√81)?
9Since 9 × 9 = 81, √81 = 9.
2. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
3. What is 3 squared (3²)?
4. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
5. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
6. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
7. What is the positive square root of 324 (√324)?
18Since 18 × 18 = 324, √324 = 18.
8. What is the positive square root of 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
9. What is 8 squared (8²)?
10. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
11. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
12. What is the positive square root of 4 (√4)?
2Since 2 × 2 = 4, √4 = 2.
12 questions · Seed 47 · Age guidance, not curriculum certification