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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 331 · 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. 1.8556² =
  2. 2.2379² =
  3. 3.4740² =
  4. 4.910² =
  5. 5.580² =
  6. 6.677² =
  7. 7.1479² =
  8. 8.231² =
  9. 9.790² =
  10. 10.2521² =
  11. 11.491² =
  12. 12.572² =
  13. 13.273² =
  14. 14.661² =
  15. 15.600² =
  16. 16.285² =
  17. 17.245² =
  18. 18.230² =
  19. 19.979² =
  20. 20.963² =
  21. 21.645² =
  22. 22.403² =
  23. 23.5024² =
  24. 24.323² =
  25. 25.643² =
  26. 26.417² =
  27. 27.968² =
  28. 28.275² =
  29. 29.554² =
  30. 30.920² =
  31. 31.1941² =
  32. 32.622² =
  33. 33.924² =
  34. 34.3609² =
  35. 35.933² =
  36. 36.9314² =
  37. 37.3898² =
  38. 38.624² =
  39. 39.349² =
  40. 40.725² =

Answer key

  1. 73205136
  2. 5659641
  3. 22467600
  4. 828100
  5. 336400
  6. 458329
  7. 2187441
  8. 53361
  9. 624100
  10. 6355441
  11. 241081
  12. 327184
  13. 74529
  14. 436921
  15. 360000
  16. 81225
  17. 60025
  18. 52900
  19. 958441
  20. 927369
  21. 416025
  22. 162409
  23. 25240576
  24. 104329
  25. 413449
  26. 173889
  27. 937024
  28. 75625
  29. 306916
  30. 846400
  31. 3767481
  32. 386884
  33. 853776
  34. 13024881
  35. 870489
  36. 86750596
  37. 15194404
  38. 389376
  39. 121801
  40. 525625

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