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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 745 · 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. 1.672² =
  2. 2.4810² =
  3. 3.734² =
  4. 4.1950² =
  5. 5.577² =
  6. 6.649² =
  7. 7.328² =
  8. 8.253² =
  9. 9.836² =
  10. 10.8895² =
  11. 11.360² =
  12. 12.528² =
  13. 13.7971² =
  14. 14.1804² =
  15. 15.8762² =
  16. 16.1747² =
  17. 17.5062² =
  18. 18.379² =
  19. 19.7767² =
  20. 20.380² =
  21. 21.595² =
  22. 22.6249² =
  23. 23.204² =
  24. 24.4266² =
  25. 25.119² =
  26. 26.687² =
  27. 27.7248² =
  28. 28.362² =
  29. 29.5395² =
  30. 30.3064² =
  31. 31.223² =
  32. 32.694² =
  33. 33.582² =
  34. 34.1328² =
  35. 35.8347² =
  36. 36.101² =
  37. 37.4985² =
  38. 38.955² =
  39. 39.885² =
  40. 40.9588² =

Answer key

  1. 451584
  2. 23136100
  3. 538756
  4. 3802500
  5. 332929
  6. 421201
  7. 107584
  8. 64009
  9. 698896
  10. 79121025
  11. 129600
  12. 278784
  13. 63536841
  14. 3254416
  15. 76772644
  16. 3052009
  17. 25623844
  18. 143641
  19. 60326289
  20. 144400
  21. 354025
  22. 39050001
  23. 41616
  24. 18198756
  25. 14161
  26. 471969
  27. 52533504
  28. 131044
  29. 29106025
  30. 9388096
  31. 49729
  32. 481636
  33. 338724
  34. 1763584
  35. 69672409
  36. 10201
  37. 24850225
  38. 912025
  39. 783225
  40. 91929744

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