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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 811 · 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. 1.554² =
  2. 2.343² =
  3. 3.954² =
  4. 4.795² =
  5. 5.789² =
  6. 6.2953² =
  7. 7.785² =
  8. 8.545² =
  9. 9.437² =
  10. 10.579² =
  11. 11.500² =
  12. 12.892² =
  13. 13.2455² =
  14. 14.287² =
  15. 15.765² =
  16. 16.429² =
  17. 17.905² =
  18. 18.341² =
  19. 19.614² =
  20. 20.1263² =
  21. 21.2427² =
  22. 22.9540² =
  23. 23.7230² =
  24. 24.578² =
  25. 25.9626² =
  26. 26.4616² =
  27. 27.6123² =
  28. 28.417² =
  29. 29.821² =
  30. 30.6890² =
  31. 31.3290² =
  32. 32.285² =
  33. 33.174² =
  34. 34.423² =
  35. 35.488² =
  36. 36.2813² =
  37. 37.630² =
  38. 38.232² =
  39. 39.721² =
  40. 40.2622² =

Answer key

  1. 306916
  2. 117649
  3. 910116
  4. 632025
  5. 622521
  6. 8720209
  7. 616225
  8. 297025
  9. 190969
  10. 335241
  11. 250000
  12. 795664
  13. 6027025
  14. 82369
  15. 585225
  16. 184041
  17. 819025
  18. 116281
  19. 376996
  20. 1595169
  21. 5890329
  22. 91011600
  23. 52272900
  24. 334084
  25. 92659876
  26. 21307456
  27. 37491129
  28. 173889
  29. 674041
  30. 47472100
  31. 10824100
  32. 81225
  33. 30276
  34. 178929
  35. 238144
  36. 7912969
  37. 396900
  38. 53824
  39. 519841
  40. 6874884

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