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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 4 · 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. 1.1855² =
  2. 2.739² =
  3. 3.406² =
  4. 4.458² =
  5. 5.714² =
  6. 6.858² =
  7. 7.479² =
  8. 8.8458² =
  9. 9.315² =
  10. 10.501² =
  11. 11.855² =
  12. 12.750² =
  13. 13.346² =
  14. 14.599² =
  15. 15.221² =
  16. 16.118² =
  17. 17.1497² =
  18. 18.8856² =
  19. 19.368² =
  20. 20.853² =
  21. 21.546² =
  22. 22.245² =
  23. 23.2835² =
  24. 24.555² =
  25. 25.2892² =
  26. 26.232² =
  27. 27.794² =
  28. 28.471² =
  29. 29.4906² =
  30. 30.845² =
  31. 31.962² =
  32. 32.5655² =
  33. 33.352² =
  34. 34.3370² =
  35. 35.3790² =
  36. 36.215² =
  37. 37.884² =
  38. 38.7501² =
  39. 39.920² =
  40. 40.5732² =

Answer key

  1. 3441025
  2. 546121
  3. 164836
  4. 209764
  5. 509796
  6. 736164
  7. 229441
  8. 71537764
  9. 99225
  10. 251001
  11. 731025
  12. 562500
  13. 119716
  14. 358801
  15. 48841
  16. 13924
  17. 2241009
  18. 78428736
  19. 135424
  20. 727609
  21. 298116
  22. 60025
  23. 8037225
  24. 308025
  25. 8363664
  26. 53824
  27. 630436
  28. 221841
  29. 24068836
  30. 714025
  31. 925444
  32. 31979025
  33. 123904
  34. 11356900
  35. 14364100
  36. 46225
  37. 781456
  38. 56265001
  39. 846400
  40. 32855824

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