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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 186 · 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. 1.798² =
  2. 2.4770² =
  3. 3.672² =
  4. 4.817² =
  5. 5.256² =
  6. 6.128² =
  7. 7.672² =
  8. 8.651² =
  9. 9.9134² =
  10. 10.4537² =
  11. 11.806² =
  12. 12.772² =
  13. 13.769² =
  14. 14.724² =
  15. 15.2953² =
  16. 16.8125² =
  17. 17.2510² =
  18. 18.482² =
  19. 19.1536² =
  20. 20.6946² =
  21. 21.275² =
  22. 22.6138² =
  23. 23.811² =
  24. 24.927² =
  25. 25.704² =
  26. 26.427² =
  27. 27.506² =
  28. 28.376² =
  29. 29.971² =
  30. 30.755² =
  31. 31.110² =
  32. 32.1404² =
  33. 33.551² =
  34. 34.477² =
  35. 35.6988² =
  36. 36.612² =
  37. 37.978² =
  38. 38.288² =
  39. 39.131² =
  40. 40.283² =

Answer key

  1. 636804
  2. 22752900
  3. 451584
  4. 667489
  5. 65536
  6. 16384
  7. 451584
  8. 423801
  9. 83429956
  10. 20584369
  11. 649636
  12. 595984
  13. 591361
  14. 524176
  15. 8720209
  16. 66015625
  17. 6300100
  18. 232324
  19. 2359296
  20. 48246916
  21. 75625
  22. 37675044
  23. 657721
  24. 859329
  25. 495616
  26. 182329
  27. 256036
  28. 141376
  29. 942841
  30. 570025
  31. 12100
  32. 1971216
  33. 303601
  34. 227529
  35. 48832144
  36. 374544
  37. 956484
  38. 82944
  39. 17161
  40. 80089

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