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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 361 (√361)?
3. What is 8 squared (8²)?
4. What is the positive square root of 64 (√64)?
5. What is 12 squared (12²)?
6. What is the positive square root of 16 (√16)?
7. What is the positive square root of 400 (√400)?
8. What is 9 squared (9²)?
9. What is 20 squared (20²)?
10. What is 3 squared (3²)?
11. What is the positive square root of 100 (√100)?
12. What is 11 squared (11²)?
12 questions · Seed 42 · 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 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
3. What is 8 squared (8²)?
4. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
5. What is 12 squared (12²)?
14412² means 12 × 12 = 144.
6. What is the positive square root of 16 (√16)?
4Since 4 × 4 = 16, √16 = 4.
7. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
8. What is 9 squared (9²)?
9. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
10. What is 3 squared (3²)?
11. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
12. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
12 questions · Seed 42 · 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 361 (√361)?
3. What is 8 squared (8²)?
4. What is the positive square root of 64 (√64)?
5. What is 12 squared (12²)?
6. What is the positive square root of 16 (√16)?
7. What is the positive square root of 400 (√400)?
8. What is 9 squared (9²)?
9. What is 20 squared (20²)?
10. What is 3 squared (3²)?
11. What is the positive square root of 100 (√100)?
12. What is 11 squared (11²)?
12 questions · Seed 42 · 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 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
3. What is 8 squared (8²)?
4. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
5. What is 12 squared (12²)?
14412² means 12 × 12 = 144.
6. What is the positive square root of 16 (√16)?
4Since 4 × 4 = 16, √16 = 4.
7. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
8. What is 9 squared (9²)?
9. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
10. What is 3 squared (3²)?
11. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
12. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
12 questions · Seed 42 · Age guidance, not curriculum certification