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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 752 · 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. 1.219² =
  2. 2.553² =
  3. 3.1545² =
  4. 4.107² =
  5. 5.5929² =
  6. 6.678² =
  7. 7.741² =
  8. 8.594² =
  9. 9.502² =
  10. 10.704² =
  11. 11.879² =
  12. 12.736² =
  13. 13.901² =
  14. 14.968² =
  15. 15.952² =
  16. 16.611² =
  17. 17.138² =
  18. 18.136² =
  19. 19.179² =
  20. 20.5423² =
  21. 21.283² =
  22. 22.513² =
  23. 23.195² =
  24. 24.933² =
  25. 25.563² =
  26. 26.9878² =
  27. 27.127² =
  28. 28.6492² =
  29. 29.671² =
  30. 30.9459² =
  31. 31.8191² =
  32. 32.6571² =
  33. 33.875² =
  34. 34.4750² =
  35. 35.8329² =
  36. 36.192² =
  37. 37.285² =
  38. 38.667² =
  39. 39.668² =
  40. 40.1472² =

Answer key

  1. 47961
  2. 305809
  3. 2387025
  4. 11449
  5. 35153041
  6. 459684
  7. 549081
  8. 352836
  9. 252004
  10. 495616
  11. 772641
  12. 541696
  13. 811801
  14. 937024
  15. 906304
  16. 373321
  17. 19044
  18. 18496
  19. 32041
  20. 29408929
  21. 80089
  22. 263169
  23. 38025
  24. 870489
  25. 316969
  26. 97574884
  27. 16129
  28. 42146064
  29. 450241
  30. 89472681
  31. 67092481
  32. 43178041
  33. 765625
  34. 22562500
  35. 69372241
  36. 36864
  37. 81225
  38. 444889
  39. 446224
  40. 2166784

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