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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 the positive square root of 256 (√256)?
2. What is the positive square root of 169 (√169)?
3. What is 3 squared (3²)?
4. What is the positive square root of 225 (√225)?
5. What is 13 squared (13²)?
6. What is 17 squared (17²)?
7. What is the positive square root of 196 (√196)?
8. What is 20 squared (20²)?
9. What is the positive square root of 400 (√400)?
10. What is 14 squared (14²)?
11. What is 18 squared (18²)?
12. What is 11 squared (11²)?
12 questions · Seed 104730 · 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 the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
2. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
3. What is 3 squared (3²)?
4. What is the positive square root of 225 (√225)?
15Since 15 × 15 = 225, √225 = 15.
5. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
6. What is 17 squared (17²)?
28917² means 17 × 17 = 289.
7. What is the positive square root of 196 (√196)?
14Since 14 × 14 = 196, √196 = 14.
8. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
9. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
10. What is 14 squared (14²)?
19614² means 14 × 14 = 196.
11. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
12. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12
Square numbers & square roots
Take your time. Show your thinking.
1. What is the positive square root of 256 (√256)?
2. What is the positive square root of 169 (√169)?
3. What is 3 squared (3²)?
4. What is the positive square root of 225 (√225)?
5. What is 13 squared (13²)?
6. What is 17 squared (17²)?
7. What is the positive square root of 196 (√196)?
8. What is 20 squared (20²)?
9. What is the positive square root of 400 (√400)?
10. What is 14 squared (14²)?
11. What is 18 squared (18²)?
12. What is 11 squared (11²)?
12 questions · Seed 104730 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
2. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
3. What is 3 squared (3²)?
4. What is the positive square root of 225 (√225)?
15Since 15 × 15 = 225, √225 = 15.
5. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
6. What is 17 squared (17²)?
28917² means 17 × 17 = 289.
7. What is the positive square root of 196 (√196)?
14Since 14 × 14 = 196, √196 = 14.
8. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
9. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
10. What is 14 squared (14²)?
19614² means 14 × 14 = 196.
11. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
12. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
12 questions · Seed 104730 · Age guidance, not curriculum certification