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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 36 (√36)?
2. What is the positive square root of 16 (√16)?
3. What is the positive square root of 49 (√49)?
4. What is 19 squared (19²)?
5. What is 18 squared (18²)?
6. What is 8 squared (8²)?
7. What is the positive square root of 289 (√289)?
8. What is 14 squared (14²)?
9. What is the positive square root of 196 (√196)?
10. What is 16 squared (16²)?
11. What is 15 squared (15²)?
12. What is 20 squared (20²)?
12 questions · Seed 50 · 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 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
2. What is the positive square root of 16 (√16)?
4Since 4 × 4 = 16, √16 = 4.
3. What is the positive square root of 49 (√49)?
7Since 7 × 7 = 49, √49 = 7.
4. What is 19 squared (19²)?
36119² means 19 × 19 = 361.
5. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
6. What is 8 squared (8²)?
7. What is the positive square root of 289 (√289)?
17Since 17 × 17 = 289, √289 = 17.
8. What is 14 squared (14²)?
19614² means 14 × 14 = 196.
9. What is the positive square root of 196 (√196)?
14Since 14 × 14 = 196, √196 = 14.
10. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
11. What is 15 squared (15²)?
22515² means 15 × 15 = 225.
12. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
12 questions · Seed 50 · 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 36 (√36)?
2. What is the positive square root of 16 (√16)?
3. What is the positive square root of 49 (√49)?
4. What is 19 squared (19²)?
5. What is 18 squared (18²)?
6. What is 8 squared (8²)?
7. What is the positive square root of 289 (√289)?
8. What is 14 squared (14²)?
9. What is the positive square root of 196 (√196)?
10. What is 16 squared (16²)?
11. What is 15 squared (15²)?
12. What is 20 squared (20²)?
12 questions · Seed 50 · 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 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
2. What is the positive square root of 16 (√16)?
4Since 4 × 4 = 16, √16 = 4.
3. What is the positive square root of 49 (√49)?
7Since 7 × 7 = 49, √49 = 7.
4. What is 19 squared (19²)?
36119² means 19 × 19 = 361.
5. What is 18 squared (18²)?
32418² means 18 × 18 = 324.
6. What is 8 squared (8²)?
7. What is the positive square root of 289 (√289)?
17Since 17 × 17 = 289, √289 = 17.
8. What is 14 squared (14²)?
19614² means 14 × 14 = 196.
9. What is the positive square root of 196 (√196)?
14Since 14 × 14 = 196, √196 = 14.
10. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
11. What is 15 squared (15²)?
22515² means 15 × 15 = 225.
12. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
12 questions · Seed 50 · Age guidance, not curriculum certification