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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 223 · 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. 1.322² =
  2. 2.820² =
  3. 3.945² =
  4. 4.3749² =
  5. 5.6129² =
  6. 6.9695² =
  7. 7.403² =
  8. 8.479² =
  9. 9.299² =
  10. 10.958² =
  11. 11.2730² =
  12. 12.376² =
  13. 13.432² =
  14. 14.466² =
  15. 15.7424² =
  16. 16.413² =
  17. 17.7084² =
  18. 18.8358² =
  19. 19.8200² =
  20. 20.312² =
  21. 21.5634² =
  22. 22.331² =
  23. 23.1187² =
  24. 24.353² =
  25. 25.412² =
  26. 26.723² =
  27. 27.8184² =
  28. 28.894² =
  29. 29.414² =
  30. 30.226² =
  31. 31.6425² =
  32. 32.3245² =
  33. 33.782² =
  34. 34.4455² =
  35. 35.3772² =
  36. 36.1537² =
  37. 37.980² =
  38. 38.602² =
  39. 39.8183² =
  40. 40.869² =

Answer key

  1. 103684
  2. 672400
  3. 893025
  4. 14055001
  5. 37564641
  6. 93993025
  7. 162409
  8. 229441
  9. 89401
  10. 917764
  11. 7452900
  12. 141376
  13. 186624
  14. 217156
  15. 55115776
  16. 170569
  17. 50183056
  18. 69856164
  19. 67240000
  20. 97344
  21. 31741956
  22. 109561
  23. 1408969
  24. 124609
  25. 169744
  26. 522729
  27. 66977856
  28. 799236
  29. 171396
  30. 51076
  31. 41280625
  32. 10530025
  33. 611524
  34. 19847025
  35. 14227984
  36. 2362369
  37. 960400
  38. 362404
  39. 66961489
  40. 755161

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