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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 17 · 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. 1.9065² =
  2. 2.181² =
  3. 3.160² =
  4. 4.423² =
  5. 5.1209² =
  6. 6.931² =
  7. 7.577² =
  8. 8.879² =
  9. 9.9769² =
  10. 10.9597² =
  11. 11.957² =
  12. 12.4434² =
  13. 13.652² =
  14. 14.5250² =
  15. 15.717² =
  16. 16.621² =
  17. 17.247² =
  18. 18.527² =
  19. 19.507² =
  20. 20.540² =
  21. 21.219² =
  22. 22.745² =
  23. 23.763² =
  24. 24.902² =
  25. 25.742² =
  26. 26.6444² =
  27. 27.4438² =
  28. 28.346² =
  29. 29.249² =
  30. 30.918² =
  31. 31.3792² =
  32. 32.356² =
  33. 33.916² =
  34. 34.7434² =
  35. 35.417² =
  36. 36.343² =
  37. 37.773² =
  38. 38.705² =
  39. 39.129² =
  40. 40.444² =

Answer key

  1. 82174225
  2. 32761
  3. 25600
  4. 178929
  5. 1461681
  6. 866761
  7. 332929
  8. 772641
  9. 95433361
  10. 92102409
  11. 915849
  12. 19660356
  13. 425104
  14. 27562500
  15. 514089
  16. 385641
  17. 61009
  18. 277729
  19. 257049
  20. 291600
  21. 47961
  22. 555025
  23. 582169
  24. 813604
  25. 550564
  26. 41525136
  27. 19695844
  28. 119716
  29. 62001
  30. 842724
  31. 14379264
  32. 126736
  33. 839056
  34. 55264356
  35. 173889
  36. 117649
  37. 597529
  38. 497025
  39. 16641
  40. 197136

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