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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 7 squared (7²)?
7 s · 7 · Square numbers & square ro…2. What is 20 squared (20²)?
20 s · 20 · Square numbers & square ro…3. What is the positive square root of 361 (√361)?
361 · 361 · Square numbers & square ro…4. What is the positive square root of 169 (√169)?
169 · 169 · Square numbers & square ro…5. What is the positive square root of 25 (√25)?
25 · 25 · Square numbers & square ro…6. What is 5 squared (5²)?
5 s · 5 · Square numbers & square ro…7. What is 16 squared (16²)?
16 s · 16 · Square numbers & square ro…8. What is the positive square root of 121 (√121)?
121 · 121 · Square numbers & square ro…9. What is 11 squared (11²)?
11 s · 11 · Square numbers & square ro…10. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…11. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…12. What is the positive square root of 400 (√400)?
400 · 400 · Square numbers & square ro…
12 questions · Seed 48 · 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 7 squared (7²)?
2. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
3. What is the positive square root of 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
4. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
5. What is the positive square root of 25 (√25)?
5Since 5 × 5 = 25, √25 = 5.
6. What is 5 squared (5²)?
7. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
8. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
9. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
10. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
11. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
12. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
12 questions · Seed 48 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 7-9
Square numbers & square roots
Take your time. Show your thinking.
1. What is 7 squared (7²)?
7 s · 7 · Square numbers & square ro…2. What is 20 squared (20²)?
20 s · 20 · Square numbers & square ro…3. What is the positive square root of 361 (√361)?
361 · 361 · Square numbers & square ro…4. What is the positive square root of 169 (√169)?
169 · 169 · Square numbers & square ro…5. What is the positive square root of 25 (√25)?
25 · 25 · Square numbers & square ro…6. What is 5 squared (5²)?
5 s · 5 · Square numbers & square ro…7. What is 16 squared (16²)?
16 s · 16 · Square numbers & square ro…8. What is the positive square root of 121 (√121)?
121 · 121 · Square numbers & square ro…9. What is 11 squared (11²)?
11 s · 11 · Square numbers & square ro…10. What is the positive square root of 64 (√64)?
64 · 64 · Square numbers & square ro…11. What is the positive square root of 9 (√9)?
9 · 9 · Square numbers & square ro…12. What is the positive square root of 400 (√400)?
400 · 400 · Square numbers & square ro…
12 questions · Seed 48 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 7-9
Square numbers & square roots
Answers and reasoning. Review before teaching.
1. What is 7 squared (7²)?
2. What is 20 squared (20²)?
40020² means 20 × 20 = 400.
3. What is the positive square root of 361 (√361)?
19Since 19 × 19 = 361, √361 = 19.
4. What is the positive square root of 169 (√169)?
13Since 13 × 13 = 169, √169 = 13.
5. What is the positive square root of 25 (√25)?
5Since 5 × 5 = 25, √25 = 5.
6. What is 5 squared (5²)?
7. What is 16 squared (16²)?
25616² means 16 × 16 = 256.
8. What is the positive square root of 121 (√121)?
11Since 11 × 11 = 121, √121 = 11.
9. What is 11 squared (11²)?
12111² means 11 × 11 = 121.
10. What is the positive square root of 64 (√64)?
8Since 8 × 8 = 64, √64 = 8.
11. What is the positive square root of 9 (√9)?
3Since 3 × 3 = 9, √9 = 3.
12. What is the positive square root of 400 (√400)?
20Since 20 × 20 = 400, √400 = 20.
12 questions · Seed 48 · Age guidance, not curriculum certification