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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 670 · 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. 1.7469² =
  2. 2.410² =
  3. 3.213² =
  4. 4.3424² =
  5. 5.865² =
  6. 6.6602² =
  7. 7.761² =
  8. 8.825² =
  9. 9.591² =
  10. 10.551² =
  11. 11.4268² =
  12. 12.922² =
  13. 13.1768² =
  14. 14.979² =
  15. 15.2211² =
  16. 16.5048² =
  17. 17.157² =
  18. 18.8879² =
  19. 19.348² =
  20. 20.543² =
  21. 21.890² =
  22. 22.9223² =
  23. 23.496² =
  24. 24.379² =
  25. 25.9056² =
  26. 26.958² =
  27. 27.606² =
  28. 28.2913² =
  29. 29.253² =
  30. 30.213² =
  31. 31.325² =
  32. 32.666² =
  33. 33.1602² =
  34. 34.823² =
  35. 35.340² =
  36. 36.651² =
  37. 37.6303² =
  38. 38.6976² =
  39. 39.8956² =
  40. 40.2768² =

Answer key

  1. 55785961
  2. 168100
  3. 45369
  4. 11723776
  5. 748225
  6. 43586404
  7. 579121
  8. 680625
  9. 349281
  10. 303601
  11. 18215824
  12. 850084
  13. 3125824
  14. 958441
  15. 4888521
  16. 25482304
  17. 24649
  18. 78836641
  19. 121104
  20. 294849
  21. 792100
  22. 85063729
  23. 246016
  24. 143641
  25. 82011136
  26. 917764
  27. 367236
  28. 8485569
  29. 64009
  30. 45369
  31. 105625
  32. 443556
  33. 2566404
  34. 677329
  35. 115600
  36. 423801
  37. 39727809
  38. 48664576
  39. 80209936
  40. 7661824

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