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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 5 squared (5²)?
2. What is the positive square root of 64 (√64)?
3. What is 13 squared (13²)?
4. What is 12 squared (12²)?
5. What is the positive square root of 49 (√49)?
6. What is the positive square root of 169 (√169)?
7. What is 18 squared (18²)?
8. What is the positive square root of 36 (√36)?
9. What is 10 squared (10²)?
10. What is the positive square root of 256 (√256)?
11. What is 7 squared (7²)?
12. What is 19 squared (19²)?
12 questions · Seed 45 · 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 5 squared (5²)?
2. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
3. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
4. What is 12 squared (12²)?
14412² means 12 × 12 = 144.
5. What is the positive square root of 49 (√49)?
7Since 7 × 7 = 49, √49 = 7.
6. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
7. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
8. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
9. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
10. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
11. What is 7 squared (7²)?
12. What is 19 squared (19²)?
36119² means 19 × 19 = 361.
12 questions · Seed 45 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 10-12
Square numbers & square roots
Take your time. Show your thinking.
1. What is 5 squared (5²)?
2. What is the positive square root of 64 (√64)?
3. What is 13 squared (13²)?
4. What is 12 squared (12²)?
5. What is the positive square root of 49 (√49)?
6. What is the positive square root of 169 (√169)?
7. What is 18 squared (18²)?
8. What is the positive square root of 36 (√36)?
9. What is 10 squared (10²)?
10. What is the positive square root of 256 (√256)?
11. What is 7 squared (7²)?
12. What is 19 squared (19²)?
12 questions · Seed 45 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 10-12
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is 5 squared (5²)?
2. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
3. What is 13 squared (13²)?
16913² means 13 × 13 = 169.
4. What is 12 squared (12²)?
14412² means 12 × 12 = 144.
5. What is the positive square root of 49 (√49)?
7Since 7 × 7 = 49, √49 = 7.
6. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
7. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
8. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
9. What is 10 squared (10²)?
10010² means 10 × 10 = 100.
10. What is the positive square root of 256 (√256)?
16Since 16 × 16 = 256, √256 = 16.
11. What is 7 squared (7²)?
12. What is 19 squared (19²)?
36119² means 19 × 19 = 361.
12 questions · Seed 45 · Age guidance, not curriculum certification