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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 164 · 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. 1.3924² =
  2. 2.702² =
  3. 3.603² =
  4. 4.692² =
  5. 5.3310² =
  6. 6.119² =
  7. 7.931² =
  8. 8.372² =
  9. 9.348² =
  10. 10.1750² =
  11. 11.7232² =
  12. 12.375² =
  13. 13.338² =
  14. 14.692² =
  15. 15.1854² =
  16. 16.905² =
  17. 17.3109² =
  18. 18.167² =
  19. 19.964² =
  20. 20.508² =
  21. 21.2977² =
  22. 22.9334² =
  23. 23.813² =
  24. 24.695² =
  25. 25.3877² =
  26. 26.665² =
  27. 27.213² =
  28. 28.263² =
  29. 29.490² =
  30. 30.812² =
  31. 31.338² =
  32. 32.316² =
  33. 33.792² =
  34. 34.7726² =
  35. 35.456² =
  36. 36.284² =
  37. 37.758² =
  38. 38.657² =
  39. 39.345² =
  40. 40.275² =

Answer key

  1. 15397776
  2. 492804
  3. 363609
  4. 478864
  5. 10956100
  6. 14161
  7. 866761
  8. 138384
  9. 121104
  10. 3062500
  11. 52301824
  12. 140625
  13. 114244
  14. 478864
  15. 3437316
  16. 819025
  17. 9665881
  18. 27889
  19. 929296
  20. 258064
  21. 8862529
  22. 87123556
  23. 660969
  24. 483025
  25. 15031129
  26. 442225
  27. 45369
  28. 69169
  29. 240100
  30. 659344
  31. 114244
  32. 99856
  33. 627264
  34. 59691076
  35. 207936
  36. 80656
  37. 574564
  38. 431649
  39. 119025
  40. 75625

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