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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 760 · 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. 1.431² =
  2. 2.9336² =
  3. 3.227² =
  4. 4.848² =
  5. 5.542² =
  6. 6.157² =
  7. 7.777² =
  8. 8.5418² =
  9. 9.1469² =
  10. 10.249² =
  11. 11.329² =
  12. 12.749² =
  13. 13.828² =
  14. 14.515² =
  15. 15.180² =
  16. 16.7695² =
  17. 17.4806² =
  18. 18.910² =
  19. 19.729² =
  20. 20.188² =
  21. 21.143² =
  22. 22.352² =
  23. 23.703² =
  24. 24.142² =
  25. 25.2429² =
  26. 26.419² =
  27. 27.232² =
  28. 28.303² =
  29. 29.898² =
  30. 30.2825² =
  31. 31.250² =
  32. 32.308² =
  33. 33.446² =
  34. 34.9506² =
  35. 35.6867² =
  36. 36.3529² =
  37. 37.159² =
  38. 38.705² =
  39. 39.8222² =
  40. 40.483² =

Answer key

  1. 185761
  2. 87160896
  3. 51529
  4. 719104
  5. 293764
  6. 24649
  7. 603729
  8. 29354724
  9. 2157961
  10. 62001
  11. 108241
  12. 561001
  13. 685584
  14. 265225
  15. 32400
  16. 59213025
  17. 23097636
  18. 828100
  19. 531441
  20. 35344
  21. 20449
  22. 123904
  23. 494209
  24. 20164
  25. 5900041
  26. 175561
  27. 53824
  28. 91809
  29. 806404
  30. 7980625
  31. 62500
  32. 94864
  33. 198916
  34. 90364036
  35. 47155689
  36. 12453841
  37. 25281
  38. 497025
  39. 67601284
  40. 233289

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