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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 705 · 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. 1.930² =
  2. 2.694² =
  3. 3.892² =
  4. 4.479² =
  5. 5.447² =
  6. 6.680² =
  7. 7.1558² =
  8. 8.1842² =
  9. 9.2954² =
  10. 10.521² =
  11. 11.525² =
  12. 12.9303² =
  13. 13.922² =
  14. 14.176² =
  15. 15.289² =
  16. 16.873² =
  17. 17.308² =
  18. 18.888² =
  19. 19.1976² =
  20. 20.859² =
  21. 21.200² =
  22. 22.105² =
  23. 23.106² =
  24. 24.998² =
  25. 25.2161² =
  26. 26.645² =
  27. 27.3242² =
  28. 28.206² =
  29. 29.932² =
  30. 30.299² =
  31. 31.896² =
  32. 32.312² =
  33. 33.991² =
  34. 34.339² =
  35. 35.650² =
  36. 36.979² =
  37. 37.2105² =
  38. 38.182² =
  39. 39.325² =
  40. 40.219² =

Answer key

  1. 864900
  2. 481636
  3. 795664
  4. 229441
  5. 199809
  6. 462400
  7. 2427364
  8. 3392964
  9. 8726116
  10. 271441
  11. 275625
  12. 86545809
  13. 850084
  14. 30976
  15. 83521
  16. 762129
  17. 94864
  18. 788544
  19. 3904576
  20. 737881
  21. 40000
  22. 11025
  23. 11236
  24. 996004
  25. 4669921
  26. 416025
  27. 10510564
  28. 42436
  29. 868624
  30. 89401
  31. 802816
  32. 97344
  33. 982081
  34. 114921
  35. 422500
  36. 958441
  37. 4431025
  38. 33124
  39. 105625
  40. 47961

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