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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 471 · 40 sums
TalentJR

The trick (Dwandwa Yoga): For abc: columns D(a) | D(ab) | D(abc) | D(bc) | D(c). D(a) = a², D(ab) = 2ab, D(abc) = 2ac + b², D(abcd) = 2ad + 2bc. Combine from the right with carries.

NameDateTime takenScore ___ / 40
  1. 1.7250² =
  2. 2.555² =
  3. 3.966² =
  4. 4.8792² =
  5. 5.914² =
  6. 6.598² =
  7. 7.3224² =
  8. 8.669² =
  9. 9.598² =
  10. 10.765² =
  11. 11.2392² =
  12. 12.3062² =
  13. 13.142² =
  14. 14.718² =
  15. 15.5697² =
  16. 16.8217² =
  17. 17.312² =
  18. 18.552² =
  19. 19.4936² =
  20. 20.8244² =
  21. 21.552² =
  22. 22.608² =
  23. 23.167² =
  24. 24.314² =
  25. 25.177² =
  26. 26.4660² =
  27. 27.569² =
  28. 28.2245² =
  29. 29.165² =
  30. 30.804² =
  31. 31.797² =
  32. 32.3417² =
  33. 33.768² =
  34. 34.960² =
  35. 35.694² =
  36. 36.345² =
  37. 37.301² =
  38. 38.102² =
  39. 39.721² =
  40. 40.4561² =

Answer key

  1. 52562500
  2. 308025
  3. 933156
  4. 77299264
  5. 835396
  6. 357604
  7. 10394176
  8. 447561
  9. 357604
  10. 585225
  11. 5721664
  12. 9375844
  13. 20164
  14. 515524
  15. 32455809
  16. 67519089
  17. 97344
  18. 304704
  19. 24364096
  20. 67963536
  21. 304704
  22. 369664
  23. 27889
  24. 98596
  25. 31329
  26. 21715600
  27. 323761
  28. 5040025
  29. 27225
  30. 646416
  31. 635209
  32. 11675889
  33. 589824
  34. 921600
  35. 481636
  36. 119025
  37. 90601
  38. 10404
  39. 519841
  40. 20802721

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