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MathsAges 10-12

Square numbers & square roots

Evaluate whole-number squares (n²) and find exact positive square roots (√n). Review suitability for your learners before teaching.

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Worksheet StudioPractice pack · Ages 10-12

Square numbers & square roots

Take your time. Show your thinking.

  1. 1. What is 4 squared (4²)?

    4 s · 4 · Square numbers & square ro…
  2. 2. What is 16 squared (16²)?

    16 s · 16 · Square numbers & square ro…
  3. 3. What is 6 squared (6²)?

    6 s · 6 · Square numbers & square ro…
  4. 4. What is the positive square root of 9 (√9)?

    9 · 9 · Square numbers & square ro…
  5. 5. What is the positive square root of 121 (√121)?

    121 · 121 · Square numbers & square ro…
  6. 6. What is 19 squared (19²)?

    19 s · 19 · Square numbers & square ro…
  7. 7. What is 9 squared (9²)?

    9 s · 9 · Square numbers & square ro…
  8. 8. What is the positive square root of 100 (√100)?

    100 · 100 · Square numbers & square ro…
  9. 9. What is the positive square root of 225 (√225)?

    225 · 225 · Square numbers & square ro…
  10. 10. What is the positive square root of 64 (√64)?

    64 · 64 · Square numbers & square ro…
  11. 11. What is 17 squared (17²)?

    17 s · 17 · Square numbers & square ro…
  12. 12. What is the positive square root of 36 (√36)?

    36 · 36 · Square numbers & square ro…
12 questions · Seed 104729 · 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. 1. What is 4 squared (4²)?

    16

    4² means 4 × 4 = 16.

  2. 2. What is 16 squared (16²)?

    256

    16² means 16 × 16 = 256.

  3. 3. What is 6 squared (6²)?

    36

    6² means 6 × 6 = 36.

  4. 4. What is the positive square root of 9 (√9)?

    3

    Since 3 × 3 = 9, √9 = 3.

  5. 5. What is the positive square root of 121 (√121)?

    11

    Since 11 × 11 = 121, √121 = 11.

  6. 6. What is 19 squared (19²)?

    361

    19² means 19 × 19 = 361.

  7. 7. What is 9 squared (9²)?

    81

    9² means 9 × 9 = 81.

  8. 8. What is the positive square root of 100 (√100)?

    10

    Since 10 × 10 = 100, √100 = 10.

  9. 9. What is the positive square root of 225 (√225)?

    15

    Since 15 × 15 = 225, √225 = 15.

  10. 10. What is the positive square root of 64 (√64)?

    8

    Since 8 × 8 = 64, √64 = 8.

  11. 11. What is 17 squared (17²)?

    289

    17² means 17 × 17 = 289.

  12. 12. What is the positive square root of 36 (√36)?

    6

    Since 6 × 6 = 36, √36 = 6.

12 questions · Seed 104729 · Age guidance, not curriculum certification