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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 9 (√9)?
9 · 9 · Square numbers & square ro…2. What is 7 squared (7²)?
7 s · 7 · Square numbers & square ro…3. What is the positive square root of 100 (√100)?
100 · 100 · Square numbers & square ro…4. What is the positive square root of 144 (√144)?
144 · 144 · Square numbers & square ro…5. What is the positive square root of 225 (√225)?
225 · 225 · Square numbers & square ro…6. What is 11 squared (11²)?
11 s · 11 · Square numbers & square ro…7. What is 5 squared (5²)?
5 s · 5 · Square numbers & square ro…8. What is the positive square root of 256 (√256)?
256 · 256 · Square numbers & square ro…9. What is the positive square root of 36 (√36)?
36 · 36 · Square numbers & square ro…10. What is 13 squared (13²)?
13 s · 13 · Square numbers & square ro…11. What is the positive square root of 81 (√81)?
81 · 81 · Square numbers & square ro…12. What is 10 squared (10²)?
10 s · 10 · Square numbers & square ro…
12 questions · Seed 46 · 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 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
2. What is 7 squared (7²)?
3. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
4. What is the positive square root of 144 (√144)?
12Since 12 × 12 = 144, √144 = 12.
5. What is the positive square root of 225 (√225)?
15Since 15 × 15 = 225, √225 = 15.
6. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
7. What is 5 squared (5²)?
8. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
9. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
10. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
11. What is the positive square root of 81 (√81)?
9Since 9 × 9 = 81, √81 = 9.
12. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
12 questions · Seed 46 · 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 9 (√9)?
9 · 9 · Square numbers & square ro…2. What is 7 squared (7²)?
7 s · 7 · Square numbers & square ro…3. What is the positive square root of 100 (√100)?
100 · 100 · Square numbers & square ro…4. What is the positive square root of 144 (√144)?
144 · 144 · Square numbers & square ro…5. What is the positive square root of 225 (√225)?
225 · 225 · Square numbers & square ro…6. What is 11 squared (11²)?
11 s · 11 · Square numbers & square ro…7. What is 5 squared (5²)?
5 s · 5 · Square numbers & square ro…8. What is the positive square root of 256 (√256)?
256 · 256 · Square numbers & square ro…9. What is the positive square root of 36 (√36)?
36 · 36 · Square numbers & square ro…10. What is 13 squared (13²)?
13 s · 13 · Square numbers & square ro…11. What is the positive square root of 81 (√81)?
81 · 81 · Square numbers & square ro…12. What is 10 squared (10²)?
10 s · 10 · Square numbers & square ro…
12 questions · Seed 46 · 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 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
2. What is 7 squared (7²)?
3. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
4. What is the positive square root of 144 (√144)?
12Since 12 × 12 = 144, √144 = 12.
5. What is the positive square root of 225 (√225)?
15Since 15 × 15 = 225, √225 = 15.
6. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
7. What is 5 squared (5²)?
8. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
9. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
10. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
11. What is the positive square root of 81 (√81)?
9Since 9 × 9 = 81, √81 = 9.
12. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
12 questions · Seed 46 · Age guidance, not curriculum certification