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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 374 · 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. 1.178² =
  2. 2.361² =
  3. 3.917² =
  4. 4.223² =
  5. 5.7469² =
  6. 6.385² =
  7. 7.839² =
  8. 8.897² =
  9. 9.955² =
  10. 10.4184² =
  11. 11.141² =
  12. 12.105² =
  13. 13.759² =
  14. 14.260² =
  15. 15.9258² =
  16. 16.391² =
  17. 17.864² =
  18. 18.256² =
  19. 19.983² =
  20. 20.476² =
  21. 21.768² =
  22. 22.105² =
  23. 23.4451² =
  24. 24.528² =
  25. 25.298² =
  26. 26.492² =
  27. 27.705² =
  28. 28.893² =
  29. 29.923² =
  30. 30.498² =
  31. 31.4396² =
  32. 32.883² =
  33. 33.2380² =
  34. 34.995² =
  35. 35.2922² =
  36. 36.190² =
  37. 37.373² =
  38. 38.146² =
  39. 39.129² =
  40. 40.463² =

Answer key

  1. 31684
  2. 130321
  3. 840889
  4. 49729
  5. 55785961
  6. 148225
  7. 703921
  8. 804609
  9. 912025
  10. 17505856
  11. 19881
  12. 11025
  13. 576081
  14. 67600
  15. 85710564
  16. 152881
  17. 746496
  18. 65536
  19. 966289
  20. 226576
  21. 589824
  22. 11025
  23. 19811401
  24. 278784
  25. 88804
  26. 242064
  27. 497025
  28. 797449
  29. 851929
  30. 248004
  31. 19324816
  32. 779689
  33. 5664400
  34. 990025
  35. 8538084
  36. 36100
  37. 139129
  38. 21316
  39. 16641
  40. 214369

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