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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 664 · 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. 1.3175² =
  2. 2.718² =
  3. 3.5448² =
  4. 4.259² =
  5. 5.542² =
  6. 6.822² =
  7. 7.4667² =
  8. 8.481² =
  9. 9.446² =
  10. 10.3104² =
  11. 11.189² =
  12. 12.735² =
  13. 13.873² =
  14. 14.807² =
  15. 15.121² =
  16. 16.745² =
  17. 17.3055² =
  18. 18.593² =
  19. 19.913² =
  20. 20.138² =
  21. 21.620² =
  22. 22.752² =
  23. 23.347² =
  24. 24.3235² =
  25. 25.375² =
  26. 26.464² =
  27. 27.7670² =
  28. 28.4734² =
  29. 29.152² =
  30. 30.4192² =
  31. 31.399² =
  32. 32.177² =
  33. 33.228² =
  34. 34.700² =
  35. 35.1466² =
  36. 36.612² =
  37. 37.405² =
  38. 38.6437² =
  39. 39.867² =
  40. 40.441² =

Answer key

  1. 10080625
  2. 515524
  3. 29680704
  4. 67081
  5. 293764
  6. 675684
  7. 21780889
  8. 231361
  9. 198916
  10. 9634816
  11. 35721
  12. 540225
  13. 762129
  14. 651249
  15. 14641
  16. 555025
  17. 9333025
  18. 351649
  19. 833569
  20. 19044
  21. 384400
  22. 565504
  23. 120409
  24. 10465225
  25. 140625
  26. 215296
  27. 58828900
  28. 22410756
  29. 23104
  30. 17572864
  31. 159201
  32. 31329
  33. 51984
  34. 490000
  35. 2149156
  36. 374544
  37. 164025
  38. 41434969
  39. 751689
  40. 194481

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