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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 129 · 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. 1.970² =
  2. 2.361² =
  3. 3.6295² =
  4. 4.680² =
  5. 5.531² =
  6. 6.964² =
  7. 7.4447² =
  8. 8.1022² =
  9. 9.594² =
  10. 10.9332² =
  11. 11.2068² =
  12. 12.337² =
  13. 13.9759² =
  14. 14.263² =
  15. 15.184² =
  16. 16.4681² =
  17. 17.166² =
  18. 18.531² =
  19. 19.554² =
  20. 20.973² =
  21. 21.693² =
  22. 22.425² =
  23. 23.104² =
  24. 24.655² =
  25. 25.434² =
  26. 26.861² =
  27. 27.436² =
  28. 28.532² =
  29. 29.861² =
  30. 30.604² =
  31. 31.436² =
  32. 32.2197² =
  33. 33.242² =
  34. 34.485² =
  35. 35.463² =
  36. 36.1871² =
  37. 37.402² =
  38. 38.7898² =
  39. 39.9194² =
  40. 40.4008² =

Answer key

  1. 940900
  2. 130321
  3. 39627025
  4. 462400
  5. 281961
  6. 929296
  7. 19775809
  8. 1044484
  9. 352836
  10. 87086224
  11. 4276624
  12. 113569
  13. 95238081
  14. 69169
  15. 33856
  16. 21911761
  17. 27556
  18. 281961
  19. 306916
  20. 946729
  21. 480249
  22. 180625
  23. 10816
  24. 429025
  25. 188356
  26. 741321
  27. 190096
  28. 283024
  29. 741321
  30. 364816
  31. 190096
  32. 4826809
  33. 58564
  34. 235225
  35. 214369
  36. 3500641
  37. 161604
  38. 62378404
  39. 84529636
  40. 16064064

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