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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 851 · 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. 1.127² =
  2. 2.150² =
  3. 3.351² =
  4. 4.9529² =
  5. 5.830² =
  6. 6.1747² =
  7. 7.767² =
  8. 8.261² =
  9. 9.702² =
  10. 10.171² =
  11. 11.7873² =
  12. 12.677² =
  13. 13.4273² =
  14. 14.8447² =
  15. 15.5104² =
  16. 16.9771² =
  17. 17.4268² =
  18. 18.7411² =
  19. 19.213² =
  20. 20.1349² =
  21. 21.863² =
  22. 22.612² =
  23. 23.978² =
  24. 24.8243² =
  25. 25.4720² =
  26. 26.587² =
  27. 27.252² =
  28. 28.105² =
  29. 29.125² =
  30. 30.468² =
  31. 31.519² =
  32. 32.8632² =
  33. 33.416² =
  34. 34.843² =
  35. 35.502² =
  36. 36.176² =
  37. 37.5311² =
  38. 38.878² =
  39. 39.865² =
  40. 40.545² =

Answer key

  1. 16129
  2. 22500
  3. 123201
  4. 90801841
  5. 688900
  6. 3052009
  7. 588289
  8. 68121
  9. 492804
  10. 29241
  11. 61984129
  12. 458329
  13. 18258529
  14. 71351809
  15. 26050816
  16. 95472441
  17. 18215824
  18. 54922921
  19. 45369
  20. 1819801
  21. 744769
  22. 374544
  23. 956484
  24. 67947049
  25. 22278400
  26. 344569
  27. 63504
  28. 11025
  29. 15625
  30. 219024
  31. 269361
  32. 74511424
  33. 173056
  34. 710649
  35. 252004
  36. 30976
  37. 28206721
  38. 770884
  39. 748225
  40. 297025

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