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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 170 · 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. 1.915² =
  2. 2.3153² =
  3. 3.580² =
  4. 4.259² =
  5. 5.9009² =
  6. 6.885² =
  7. 7.572² =
  8. 8.888² =
  9. 9.3905² =
  10. 10.531² =
  11. 11.5407² =
  12. 12.9599² =
  13. 13.583² =
  14. 14.134² =
  15. 15.7845² =
  16. 16.130² =
  17. 17.400² =
  18. 18.718² =
  19. 19.4688² =
  20. 20.687² =
  21. 21.303² =
  22. 22.102² =
  23. 23.183² =
  24. 24.747² =
  25. 25.300² =
  26. 26.420² =
  27. 27.284² =
  28. 28.568² =
  29. 29.2861² =
  30. 30.8798² =
  31. 31.648² =
  32. 32.1877² =
  33. 33.893² =
  34. 34.496² =
  35. 35.588² =
  36. 36.194² =
  37. 37.8066² =
  38. 38.702² =
  39. 39.813² =
  40. 40.721² =

Answer key

  1. 837225
  2. 9941409
  3. 336400
  4. 67081
  5. 81162081
  6. 783225
  7. 327184
  8. 788544
  9. 15249025
  10. 281961
  11. 29235649
  12. 92140801
  13. 339889
  14. 17956
  15. 61544025
  16. 16900
  17. 160000
  18. 515524
  19. 21977344
  20. 471969
  21. 91809
  22. 10404
  23. 33489
  24. 558009
  25. 90000
  26. 176400
  27. 80656
  28. 322624
  29. 8185321
  30. 77404804
  31. 419904
  32. 3523129
  33. 797449
  34. 246016
  35. 345744
  36. 37636
  37. 65060356
  38. 492804
  39. 660969
  40. 519841

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