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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 3 squared (3²)?
3 s · 3 · Square numbers & square ro…2. What is 16 squared (16²)?
16 s · 16 · Square numbers & square ro…3. What is 2 squared (2²)?
2 s · 2 · Square numbers & square ro…4. What is the positive square root of 169 (√169)?
169 · 169 · Square numbers & square ro…5. What is 11 squared (11²)?
11 s · 11 · Square numbers & square ro…6. What is the positive square root of 100 (√100)?
100 · 100 · Square numbers & square ro…7. What is the positive square root of 16 (√16)?
16 · 16 · Square numbers & square ro…8. What is the positive square root of 361 (√361)?
361 · 361 · Square numbers & square ro…9. What is the positive square root of 36 (√36)?
36 · 36 · Square numbers & square ro…10. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…11. What is 12 squared (12²)?
12 s · 12 · Square numbers & square ro…12. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…
12 questions · Seed 54 · 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 3 squared (3²)?
2. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
3. What is 2 squared (2²)?
4. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
5. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
6. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
7. What is the positive square root of 16 (√16)?
4Since 4 × 4 = 16, √16 = 4.
8. What is the positive square root of 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
9. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
10. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
11. What is 12 squared (12²)?
14412² means 12 × 12 = 144.
12. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
12 questions · Seed 54 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9
Square numbers & square roots
Take your time. Show your thinking.
1. What is 3 squared (3²)?
3 s · 3 · Square numbers & square ro…2. What is 16 squared (16²)?
16 s · 16 · Square numbers & square ro…3. What is 2 squared (2²)?
2 s · 2 · Square numbers & square ro…4. What is the positive square root of 169 (√169)?
169 · 169 · Square numbers & square ro…5. What is 11 squared (11²)?
11 s · 11 · Square numbers & square ro…6. What is the positive square root of 100 (√100)?
100 · 100 · Square numbers & square ro…7. What is the positive square root of 16 (√16)?
16 · 16 · Square numbers & square ro…8. What is the positive square root of 361 (√361)?
361 · 361 · Square numbers & square ro…9. What is the positive square root of 36 (√36)?
36 · 36 · Square numbers & square ro…10. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…11. What is 12 squared (12²)?
12 s · 12 · Square numbers & square ro…12. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…
12 questions · Seed 54 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is 3 squared (3²)?
2. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
3. What is 2 squared (2²)?
4. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
5. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
6. What is the positive square root of 100 (√100)?
10Since 10 × 10 = 100, √100 = 10.
7. What is the positive square root of 16 (√16)?
4Since 4 × 4 = 16, √16 = 4.
8. What is the positive square root of 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
9. What is the positive square root of 36 (√36)?
6Since 6 × 6 = 36, √36 = 6.
10. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
11. What is 12 squared (12²)?
14412² means 12 × 12 = 144.
12. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
12 questions · Seed 54 · Age guidance, not curriculum certification