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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 3 squared (3²)?
3 s · 3 · Square numbers & square ro…2. What is 18 squared (18²)?
18 s · 18 · Square numbers & square ro…3. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…4. What is the positive square root of 324 (√324)?
324 · 324 · Square numbers & square ro…5. What is the positive square root of 25 (√25)?
25 · 25 · Square numbers & square ro…6. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…7. What is 10 squared (10²)?
10 s · 10 · Square numbers & square ro…8. What is the positive square root of 289 (√289)?
289 · 289 · Square numbers & square ro…9. What is the positive square root of 196 (√196)?
196 · 196 · Square numbers & square ro…10. What is the positive square root of 121 (√121)?
121 · 121 · Square numbers & square ro…11. What is 8 squared (8²)?
8 s · 8 · Square numbers & square ro…12. What is 20 squared (20²)?
20 s · 20 · Square numbers & square ro…
12 questions · Seed 55 · 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 3 squared (3²)?
2. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
3. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
4. What is the positive square root of 324 (√324)?
18Since 18 × 18 = 324, √324 = 18.
5. What is the positive square root of 25 (√25)?
5Since 5 × 5 = 25, √25 = 5.
6. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
7. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
8. What is the positive square root of 289 (√289)?
17Since 17 × 17 = 289, √289 = 17.
9. What is the positive square root of 196 (√196)?
14Since 14 × 14 = 196, √196 = 14.
10. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
11. What is 8 squared (8²)?
12. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
12 questions · Seed 55 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9
Square numbers & square roots
Take your time. Show your thinking.
1. What is 3 squared (3²)?
3 s · 3 · Square numbers & square ro…2. What is 18 squared (18²)?
18 s · 18 · Square numbers & square ro…3. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…4. What is the positive square root of 324 (√324)?
324 · 324 · Square numbers & square ro…5. What is the positive square root of 25 (√25)?
25 · 25 · Square numbers & square ro…6. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…7. What is 10 squared (10²)?
10 s · 10 · Square numbers & square ro…8. What is the positive square root of 289 (√289)?
289 · 289 · Square numbers & square ro…9. What is the positive square root of 196 (√196)?
196 · 196 · Square numbers & square ro…10. What is the positive square root of 121 (√121)?
121 · 121 · Square numbers & square ro…11. What is 8 squared (8²)?
8 s · 8 · Square numbers & square ro…12. What is 20 squared (20²)?
20 s · 20 · Square numbers & square ro…
12 questions · Seed 55 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is 3 squared (3²)?
2. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
3. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
4. What is the positive square root of 324 (√324)?
18Since 18 × 18 = 324, √324 = 18.
5. What is the positive square root of 25 (√25)?
5Since 5 × 5 = 25, √25 = 5.
6. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
7. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
8. What is the positive square root of 289 (√289)?
17Since 17 × 17 = 289, √289 = 17.
9. What is the positive square root of 196 (√196)?
14Since 14 × 14 = 196, √196 = 14.
10. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
11. What is 8 squared (8²)?
12. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
12 questions · Seed 55 · Age guidance, not curriculum certification