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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 605 · 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. 1.6301² =
  2. 2.276² =
  3. 3.905² =
  4. 4.382² =
  5. 5.546² =
  6. 6.990² =
  7. 7.265² =
  8. 8.174² =
  9. 9.1007² =
  10. 10.257² =
  11. 11.204² =
  12. 12.218² =
  13. 13.312² =
  14. 14.832² =
  15. 15.165² =
  16. 16.970² =
  17. 17.998² =
  18. 18.749² =
  19. 19.423² =
  20. 20.1783² =
  21. 21.225² =
  22. 22.898² =
  23. 23.5579² =
  24. 24.3696² =
  25. 25.850² =
  26. 26.930² =
  27. 27.118² =
  28. 28.286² =
  29. 29.128² =
  30. 30.226² =
  31. 31.7851² =
  32. 32.467² =
  33. 33.7668² =
  34. 34.3481² =
  35. 35.333² =
  36. 36.711² =
  37. 37.331² =
  38. 38.501² =
  39. 39.524² =
  40. 40.605² =

Answer key

  1. 39702601
  2. 76176
  3. 819025
  4. 145924
  5. 298116
  6. 980100
  7. 70225
  8. 30276
  9. 1014049
  10. 66049
  11. 41616
  12. 47524
  13. 97344
  14. 692224
  15. 27225
  16. 940900
  17. 996004
  18. 561001
  19. 178929
  20. 3179089
  21. 50625
  22. 806404
  23. 31125241
  24. 13660416
  25. 722500
  26. 864900
  27. 13924
  28. 81796
  29. 16384
  30. 51076
  31. 61638201
  32. 218089
  33. 58798224
  34. 12117361
  35. 110889
  36. 505521
  37. 109561
  38. 251001
  39. 274576
  40. 366025

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