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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 714 · 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. 1.4012² =
  2. 2.281² =
  3. 3.551² =
  4. 4.8175² =
  5. 5.926² =
  6. 6.385² =
  7. 7.791² =
  8. 8.870² =
  9. 9.1824² =
  10. 10.571² =
  11. 11.564² =
  12. 12.148² =
  13. 13.173² =
  14. 14.3813² =
  15. 15.474² =
  16. 16.203² =
  17. 17.321² =
  18. 18.3209² =
  19. 19.595² =
  20. 20.3886² =
  21. 21.1481² =
  22. 22.392² =
  23. 23.527² =
  24. 24.414² =
  25. 25.1414² =
  26. 26.840² =
  27. 27.5790² =
  28. 28.6685² =
  29. 29.852² =
  30. 30.1262² =
  31. 31.850² =
  32. 32.667² =
  33. 33.483² =
  34. 34.556² =
  35. 35.190² =
  36. 36.2403² =
  37. 37.699² =
  38. 38.6660² =
  39. 39.721² =
  40. 40.7612² =

Answer key

  1. 16096144
  2. 78961
  3. 303601
  4. 66830625
  5. 857476
  6. 148225
  7. 625681
  8. 756900
  9. 3326976
  10. 326041
  11. 318096
  12. 21904
  13. 29929
  14. 14538969
  15. 224676
  16. 41209
  17. 103041
  18. 10297681
  19. 354025
  20. 15100996
  21. 2193361
  22. 153664
  23. 277729
  24. 171396
  25. 1999396
  26. 705600
  27. 33524100
  28. 44689225
  29. 725904
  30. 1592644
  31. 722500
  32. 444889
  33. 233289
  34. 309136
  35. 36100
  36. 5774409
  37. 488601
  38. 44355600
  39. 519841
  40. 57942544

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