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MathsAges 7-9

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 7-9

Square numbers & square roots

Take your time. Show your thinking.

  1. 1. What is 3 squared (3²)?

    3 s · 3 · Square numbers & square ro…
  2. 2. What is 18 squared (18²)?

    18 s · 18 · Square numbers & square ro…
  3. 3. What is the positive square root of 64 (√64)?

    64 · 64 · Square numbers & square ro…
  4. 4. What is the positive square root of 324 (√324)?

    324 · 324 · Square numbers & square ro…
  5. 5. What is the positive square root of 25 (√25)?

    25 · 25 · Square numbers & square ro…
  6. 6. What is the positive square root of 9 (√9)?

    9 · 9 · Square numbers & square ro…
  7. 7. What is 10 squared (10²)?

    10 s · 10 · Square numbers & square ro…
  8. 8. What is the positive square root of 289 (√289)?

    289 · 289 · Square numbers & square ro…
  9. 9. What is the positive square root of 196 (√196)?

    196 · 196 · Square numbers & square ro…
  10. 10. What is the positive square root of 121 (√121)?

    121 · 121 · Square numbers & square ro…
  11. 11. What is 8 squared (8²)?

    8 s · 8 · Square numbers & square ro…
  12. 12. What is 20 squared (20²)?

    20 s · 20 · Square numbers & square ro…
12 questions · Seed 55 · 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. 1. What is 3 squared (3²)?

    9

    3² means 3 × 3 = 9.

  2. 2. What is 18 squared (18²)?

    324

    18² means 18 × 18 = 324.

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

    8

    Since 8 × 8 = 64, √64 = 8.

  4. 4. What is the positive square root of 324 (√324)?

    18

    Since 18 × 18 = 324, √324 = 18.

  5. 5. What is the positive square root of 25 (√25)?

    5

    Since 5 × 5 = 25, √25 = 5.

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

    3

    Since 3 × 3 = 9, √9 = 3.

  7. 7. What is 10 squared (10²)?

    100

    10² means 10 × 10 = 100.

  8. 8. What is the positive square root of 289 (√289)?

    17

    Since 17 × 17 = 289, √289 = 17.

  9. 9. What is the positive square root of 196 (√196)?

    14

    Since 14 × 14 = 196, √196 = 14.

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

    11

    Since 11 × 11 = 121, √121 = 11.

  11. 11. What is 8 squared (8²)?

    64

    8² means 8 × 8 = 64.

  12. 12. What is 20 squared (20²)?

    400

    20² means 20 × 20 = 400.

12 questions · Seed 55 · Age guidance, not curriculum certification