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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 446 · 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. 1.9569² =
  2. 2.2966² =
  3. 3.995² =
  4. 4.5372² =
  5. 5.890² =
  6. 6.646² =
  7. 7.413² =
  8. 8.632² =
  9. 9.5835² =
  10. 10.253² =
  11. 11.184² =
  12. 12.843² =
  13. 13.257² =
  14. 14.764² =
  15. 15.572² =
  16. 16.754² =
  17. 17.852² =
  18. 18.507² =
  19. 19.292² =
  20. 20.1811² =
  21. 21.6256² =
  22. 22.432² =
  23. 23.799² =
  24. 24.455² =
  25. 25.266² =
  26. 26.942² =
  27. 27.280² =
  28. 28.365² =
  29. 29.3937² =
  30. 30.491² =
  31. 31.495² =
  32. 32.129² =
  33. 33.1301² =
  34. 34.556² =
  35. 35.273² =
  36. 36.557² =
  37. 37.285² =
  38. 38.1941² =
  39. 39.954² =
  40. 40.1821² =

Answer key

  1. 91565761
  2. 8797156
  3. 990025
  4. 28858384
  5. 792100
  6. 417316
  7. 170569
  8. 399424
  9. 34047225
  10. 64009
  11. 33856
  12. 710649
  13. 66049
  14. 583696
  15. 327184
  16. 568516
  17. 725904
  18. 257049
  19. 85264
  20. 3279721
  21. 39137536
  22. 186624
  23. 638401
  24. 207025
  25. 70756
  26. 887364
  27. 78400
  28. 133225
  29. 15499969
  30. 241081
  31. 245025
  32. 16641
  33. 1692601
  34. 309136
  35. 74529
  36. 310249
  37. 81225
  38. 3767481
  39. 910116
  40. 3316041

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