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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 754 · 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. 1.2097² =
  2. 2.7414² =
  3. 3.130² =
  4. 4.4788² =
  5. 5.147² =
  6. 6.405² =
  7. 7.380² =
  8. 8.6154² =
  9. 9.966² =
  10. 10.5253² =
  11. 11.516² =
  12. 12.884² =
  13. 13.913² =
  14. 14.4457² =
  15. 15.7156² =
  16. 16.1762² =
  17. 17.7276² =
  18. 18.276² =
  19. 19.241² =
  20. 20.148² =
  21. 21.1063² =
  22. 22.4782² =
  23. 23.454² =
  24. 24.112² =
  25. 25.978² =
  26. 26.457² =
  27. 27.7828² =
  28. 28.347² =
  29. 29.298² =
  30. 30.2362² =
  31. 31.851² =
  32. 32.429² =
  33. 33.136² =
  34. 34.360² =
  35. 35.675² =
  36. 36.648² =
  37. 37.528² =
  38. 38.873² =
  39. 39.2880² =
  40. 40.366² =

Answer key

  1. 4397409
  2. 54967396
  3. 16900
  4. 22924944
  5. 21609
  6. 164025
  7. 144400
  8. 37871716
  9. 933156
  10. 27594009
  11. 266256
  12. 781456
  13. 833569
  14. 19864849
  15. 51208336
  16. 3104644
  17. 52940176
  18. 76176
  19. 58081
  20. 21904
  21. 1129969
  22. 22867524
  23. 206116
  24. 12544
  25. 956484
  26. 208849
  27. 61277584
  28. 120409
  29. 88804
  30. 5579044
  31. 724201
  32. 184041
  33. 18496
  34. 129600
  35. 455625
  36. 419904
  37. 278784
  38. 762129
  39. 8294400
  40. 133956

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