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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 7 · 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. 1.249² =
  2. 2.674² =
  3. 3.229² =
  4. 4.369² =
  5. 5.4481² =
  6. 6.171² =
  7. 7.365² =
  8. 8.632² =
  9. 9.493² =
  10. 10.639² =
  11. 11.8338² =
  12. 12.173² =
  13. 13.291² =
  14. 14.420² =
  15. 15.3266² =
  16. 16.500² =
  17. 17.850² =
  18. 18.989² =
  19. 19.368² =
  20. 20.669² =
  21. 21.5455² =
  22. 22.790² =
  23. 23.649² =
  24. 24.622² =
  25. 25.6873² =
  26. 26.462² =
  27. 27.472² =
  28. 28.987² =
  29. 29.3402² =
  30. 30.8577² =
  31. 31.3688² =
  32. 32.799² =
  33. 33.7963² =
  34. 34.9249² =
  35. 35.189² =
  36. 36.830² =
  37. 37.8085² =
  38. 38.576² =
  39. 39.414² =
  40. 40.438² =

Answer key

  1. 62001
  2. 454276
  3. 52441
  4. 136161
  5. 20079361
  6. 29241
  7. 133225
  8. 399424
  9. 243049
  10. 408321
  11. 69522244
  12. 29929
  13. 84681
  14. 176400
  15. 10666756
  16. 250000
  17. 722500
  18. 978121
  19. 135424
  20. 447561
  21. 29757025
  22. 624100
  23. 421201
  24. 386884
  25. 47238129
  26. 213444
  27. 222784
  28. 974169
  29. 11573604
  30. 73564929
  31. 13601344
  32. 638401
  33. 63409369
  34. 85544001
  35. 35721
  36. 688900
  37. 65367225
  38. 331776
  39. 171396
  40. 191844

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