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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 231 · 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. 1.358² =
  2. 2.4222² =
  3. 3.6009² =
  4. 4.2117² =
  5. 5.672² =
  6. 6.502² =
  7. 7.362² =
  8. 8.501² =
  9. 9.349² =
  10. 10.447² =
  11. 11.138² =
  12. 12.3889² =
  13. 13.321² =
  14. 14.104² =
  15. 15.3237² =
  16. 16.937² =
  17. 17.302² =
  18. 18.2932² =
  19. 19.269² =
  20. 20.601² =
  21. 21.423² =
  22. 22.165² =
  23. 23.5049² =
  24. 24.715² =
  25. 25.281² =
  26. 26.540² =
  27. 27.8644² =
  28. 28.132² =
  29. 29.256² =
  30. 30.111² =
  31. 31.1180² =
  32. 32.898² =
  33. 33.370² =
  34. 34.9971² =
  35. 35.592² =
  36. 36.116² =
  37. 37.539² =
  38. 38.6396² =
  39. 39.905² =
  40. 40.178² =

Answer key

  1. 128164
  2. 17825284
  3. 36108081
  4. 4481689
  5. 451584
  6. 252004
  7. 131044
  8. 251001
  9. 121801
  10. 199809
  11. 19044
  12. 15124321
  13. 103041
  14. 10816
  15. 10478169
  16. 877969
  17. 91204
  18. 8596624
  19. 72361
  20. 361201
  21. 178929
  22. 27225
  23. 25492401
  24. 511225
  25. 78961
  26. 291600
  27. 74718736
  28. 17424
  29. 65536
  30. 12321
  31. 1392400
  32. 806404
  33. 136900
  34. 99420841
  35. 350464
  36. 13456
  37. 290521
  38. 40908816
  39. 819025
  40. 31684

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