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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 10-12
Square numbers & square roots
Take your time. Show your thinking.
1. What is 4 squared (4²)?
4 s · 4 · Square numbers & square ro…2. What is 16 squared (16²)?
16 s · 16 · Square numbers & square ro…3. What is 6 squared (6²)?
6 s · 6 · Square numbers & square ro…4. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…5. What is the positive square root of 121 (√121)?
121 · 121 · Square numbers & square ro…6. What is 19 squared (19²)?
19 s · 19 · Square numbers & square ro…7. What is 9 squared (9²)?
9 s · 9 · Square numbers & square ro…8. What is the positive square root of 100 (√100)?
100 · 100 · Square numbers & square ro…9. What is the positive square root of 225 (√225)?
225 · 225 · Square numbers & square ro…10. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…11. What is 17 squared (17²)?
17 s · 17 · Square numbers & square ro…12. What is the positive square root of 36 (√36)?
36 · 36 · Square numbers & square ro…
12 questions · Seed 104729 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is 4 squared (4²)?
2. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
3. What is 6 squared (6²)?
4. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
5. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
6. What is 19 squared (19²)?
36119² means 19 × 19 = 361.
7. What is 9 squared (9²)?
8. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
9. What is the positive square root of 225 (√225)?
15Since 15 × 15 = 225, √225 = 15.
10. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
11. What is 17 squared (17²)?
28917² means 17 × 17 = 289.
12. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12
Square numbers & square roots
Take your time. Show your thinking.
1. What is 4 squared (4²)?
4 s · 4 · Square numbers & square ro…2. What is 16 squared (16²)?
16 s · 16 · Square numbers & square ro…3. What is 6 squared (6²)?
6 s · 6 · Square numbers & square ro…4. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…5. What is the positive square root of 121 (√121)?
121 · 121 · Square numbers & square ro…6. What is 19 squared (19²)?
19 s · 19 · Square numbers & square ro…7. What is 9 squared (9²)?
9 s · 9 · Square numbers & square ro…8. What is the positive square root of 100 (√100)?
100 · 100 · Square numbers & square ro…9. What is the positive square root of 225 (√225)?
225 · 225 · Square numbers & square ro…10. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…11. What is 17 squared (17²)?
17 s · 17 · Square numbers & square ro…12. What is the positive square root of 36 (√36)?
36 · 36 · Square numbers & square ro…
12 questions · Seed 104729 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is 4 squared (4²)?
2. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
3. What is 6 squared (6²)?
4. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
5. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
6. What is 19 squared (19²)?
36119² means 19 × 19 = 361.
7. What is 9 squared (9²)?
8. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
9. What is the positive square root of 225 (√225)?
15Since 15 × 15 = 225, √225 = 15.
10. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
11. What is 17 squared (17²)?
28917² means 17 × 17 = 289.
12. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
12 questions · Seed 104729 · Age guidance, not curriculum certification