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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 409 · 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. 1.882² =
  2. 2.5533² =
  3. 3.326² =
  4. 4.1548² =
  5. 5.413² =
  6. 6.333² =
  7. 7.974² =
  8. 8.935² =
  9. 9.9023² =
  10. 10.341² =
  11. 11.759² =
  12. 12.482² =
  13. 13.371² =
  14. 14.1938² =
  15. 15.643² =
  16. 16.796² =
  17. 17.325² =
  18. 18.320² =
  19. 19.981² =
  20. 20.816² =
  21. 21.859² =
  22. 22.881² =
  23. 23.432² =
  24. 24.118² =
  25. 25.959² =
  26. 26.9555² =
  27. 27.201² =
  28. 28.404² =
  29. 29.4750² =
  30. 30.997² =
  31. 31.709² =
  32. 32.354² =
  33. 33.933² =
  34. 34.315² =
  35. 35.707² =
  36. 36.824² =
  37. 37.396² =
  38. 38.4218² =
  39. 39.264² =
  40. 40.779² =

Answer key

  1. 777924
  2. 30614089
  3. 106276
  4. 2396304
  5. 170569
  6. 110889
  7. 948676
  8. 874225
  9. 81414529
  10. 116281
  11. 576081
  12. 232324
  13. 137641
  14. 3755844
  15. 413449
  16. 633616
  17. 105625
  18. 102400
  19. 962361
  20. 665856
  21. 737881
  22. 776161
  23. 186624
  24. 13924
  25. 919681
  26. 91298025
  27. 40401
  28. 163216
  29. 22562500
  30. 994009
  31. 502681
  32. 125316
  33. 870489
  34. 99225
  35. 499849
  36. 678976
  37. 156816
  38. 17791524
  39. 69696
  40. 606841

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