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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 504 · 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. 1.7669² =
  2. 2.172² =
  3. 3.487² =
  4. 4.992² =
  5. 5.295² =
  6. 6.1669² =
  7. 7.577² =
  8. 8.378² =
  9. 9.2682² =
  10. 10.275² =
  11. 11.918² =
  12. 12.267² =
  13. 13.197² =
  14. 14.7208² =
  15. 15.299² =
  16. 16.395² =
  17. 17.176² =
  18. 18.196² =
  19. 19.6591² =
  20. 20.1805² =
  21. 21.174² =
  22. 22.266² =
  23. 23.379² =
  24. 24.410² =
  25. 25.637² =
  26. 26.476² =
  27. 27.937² =
  28. 28.721² =
  29. 29.6608² =
  30. 30.105² =
  31. 31.251² =
  32. 32.170² =
  33. 33.722² =
  34. 34.2475² =
  35. 35.2299² =
  36. 36.922² =
  37. 37.820² =
  38. 38.1006² =
  39. 39.816² =
  40. 40.7622² =

Answer key

  1. 58813561
  2. 29584
  3. 237169
  4. 984064
  5. 87025
  6. 2785561
  7. 332929
  8. 142884
  9. 7193124
  10. 75625
  11. 842724
  12. 71289
  13. 38809
  14. 51955264
  15. 89401
  16. 156025
  17. 30976
  18. 38416
  19. 43441281
  20. 3258025
  21. 30276
  22. 70756
  23. 143641
  24. 168100
  25. 405769
  26. 226576
  27. 877969
  28. 519841
  29. 43665664
  30. 11025
  31. 63001
  32. 28900
  33. 521284
  34. 6125625
  35. 5285401
  36. 850084
  37. 672400
  38. 1012036
  39. 665856
  40. 58094884

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