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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 908 · 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. 1.960² =
  2. 2.2858² =
  3. 3.126² =
  4. 4.321² =
  5. 5.631² =
  6. 6.5191² =
  7. 7.9838² =
  8. 8.4295² =
  9. 9.620² =
  10. 10.6473² =
  11. 11.320² =
  12. 12.337² =
  13. 13.9466² =
  14. 14.872² =
  15. 15.909² =
  16. 16.944² =
  17. 17.941² =
  18. 18.7912² =
  19. 19.4540² =
  20. 20.838² =
  21. 21.3265² =
  22. 22.2725² =
  23. 23.279² =
  24. 24.319² =
  25. 25.811² =
  26. 26.6870² =
  27. 27.359² =
  28. 28.760² =
  29. 29.795² =
  30. 30.325² =
  31. 31.2114² =
  32. 32.3140² =
  33. 33.803² =
  34. 34.3234² =
  35. 35.320² =
  36. 36.9281² =
  37. 37.868² =
  38. 38.936² =
  39. 39.2392² =
  40. 40.998² =

Answer key

  1. 921600
  2. 8168164
  3. 15876
  4. 103041
  5. 398161
  6. 26946481
  7. 96786244
  8. 18447025
  9. 384400
  10. 41899729
  11. 102400
  12. 113569
  13. 89605156
  14. 760384
  15. 826281
  16. 891136
  17. 885481
  18. 62599744
  19. 20611600
  20. 702244
  21. 10660225
  22. 7425625
  23. 77841
  24. 101761
  25. 657721
  26. 47196900
  27. 128881
  28. 577600
  29. 632025
  30. 105625
  31. 4468996
  32. 9859600
  33. 644809
  34. 10458756
  35. 102400
  36. 86136961
  37. 753424
  38. 876096
  39. 5721664
  40. 996004

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