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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 36 (√36)?
2. What is 4 squared (4²)?
3. What is 6 squared (6²)?
4. What is the positive square root of 25 (√25)?
5. What is the positive square root of 169 (√169)?
6. What is the positive square root of 121 (√121)?
7. What is 9 squared (9²)?
8. What is 8 squared (8²)?
9. What is 14 squared (14²)?
10. What is 5 squared (5²)?
11. What is the positive square root of 400 (√400)?
12. What is 16 squared (16²)?
12 questions · Seed 43 · 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 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
2. What is 4 squared (4²)?
3. What is 6 squared (6²)?
4. What is the positive square root of 25 (√25)?
5Since 5 × 5 = 25, √25 = 5.
5. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
6. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
7. What is 9 squared (9²)?
8. What is 8 squared (8²)?
9. What is 14 squared (14²)?
19614² means 14 × 14 = 196.
10. What is 5 squared (5²)?
11. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
12. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
12 questions · Seed 43 · 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 36 (√36)?
2. What is 4 squared (4²)?
3. What is 6 squared (6²)?
4. What is the positive square root of 25 (√25)?
5. What is the positive square root of 169 (√169)?
6. What is the positive square root of 121 (√121)?
7. What is 9 squared (9²)?
8. What is 8 squared (8²)?
9. What is 14 squared (14²)?
10. What is 5 squared (5²)?
11. What is the positive square root of 400 (√400)?
12. What is 16 squared (16²)?
12 questions · Seed 43 · 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 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
2. What is 4 squared (4²)?
3. What is 6 squared (6²)?
4. What is the positive square root of 25 (√25)?
5Since 5 × 5 = 25, √25 = 5.
5. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
6. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
7. What is 9 squared (9²)?
8. What is 8 squared (8²)?
9. What is 14 squared (14²)?
19614² means 14 × 14 = 196.
10. What is 5 squared (5²)?
11. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
12. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
12 questions · Seed 43 · Age guidance, not curriculum certification