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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 516 · 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. 1.8690² =
  2. 2.125² =
  3. 3.204² =
  4. 4.9023² =
  5. 5.370² =
  6. 6.559² =
  7. 7.514² =
  8. 8.727² =
  9. 9.839² =
  10. 10.943² =
  11. 11.402² =
  12. 12.558² =
  13. 13.974² =
  14. 14.737² =
  15. 15.708² =
  16. 16.440² =
  17. 17.667² =
  18. 18.259² =
  19. 19.160² =
  20. 20.4176² =
  21. 21.5636² =
  22. 22.6148² =
  23. 23.138² =
  24. 24.7223² =
  25. 25.330² =
  26. 26.880² =
  27. 27.562² =
  28. 28.816² =
  29. 29.4955² =
  30. 30.4219² =
  31. 31.797² =
  32. 32.162² =
  33. 33.8188² =
  34. 34.307² =
  35. 35.928² =
  36. 36.116² =
  37. 37.315² =
  38. 38.6764² =
  39. 39.7699² =
  40. 40.267² =

Answer key

  1. 75516100
  2. 15625
  3. 41616
  4. 81414529
  5. 136900
  6. 312481
  7. 264196
  8. 528529
  9. 703921
  10. 889249
  11. 161604
  12. 311364
  13. 948676
  14. 543169
  15. 501264
  16. 193600
  17. 444889
  18. 67081
  19. 25600
  20. 17438976
  21. 31764496
  22. 37797904
  23. 19044
  24. 52171729
  25. 108900
  26. 774400
  27. 315844
  28. 665856
  29. 24552025
  30. 17799961
  31. 635209
  32. 26244
  33. 67043344
  34. 94249
  35. 861184
  36. 13456
  37. 99225
  38. 45751696
  39. 59274601
  40. 71289

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