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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 338 · 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. 1.138² =
  2. 2.807² =
  3. 3.2802² =
  4. 4.240² =
  5. 5.1241² =
  6. 6.620² =
  7. 7.185² =
  8. 8.482² =
  9. 9.5013² =
  10. 10.332² =
  11. 11.9737² =
  12. 12.767² =
  13. 13.113² =
  14. 14.812² =
  15. 15.9296² =
  16. 16.641² =
  17. 17.356² =
  18. 18.3531² =
  19. 19.5232² =
  20. 20.928² =
  21. 21.907² =
  22. 22.151² =
  23. 23.3674² =
  24. 24.941² =
  25. 25.775² =
  26. 26.1475² =
  27. 27.427² =
  28. 28.297² =
  29. 29.724² =
  30. 30.713² =
  31. 31.194² =
  32. 32.335² =
  33. 33.124² =
  34. 34.710² =
  35. 35.2927² =
  36. 36.241² =
  37. 37.4857² =
  38. 38.2957² =
  39. 39.150² =
  40. 40.4343² =

Answer key

  1. 19044
  2. 651249
  3. 7851204
  4. 57600
  5. 1540081
  6. 384400
  7. 34225
  8. 232324
  9. 25130169
  10. 110224
  11. 94809169
  12. 588289
  13. 12769
  14. 659344
  15. 86415616
  16. 410881
  17. 126736
  18. 12467961
  19. 27373824
  20. 861184
  21. 822649
  22. 22801
  23. 13498276
  24. 885481
  25. 600625
  26. 2175625
  27. 182329
  28. 88209
  29. 524176
  30. 508369
  31. 37636
  32. 112225
  33. 15376
  34. 504100
  35. 8567329
  36. 58081
  37. 23590449
  38. 8743849
  39. 22500
  40. 18861649

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