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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 411 · 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. 1.878² =
  2. 2.9550² =
  3. 3.2297² =
  4. 4.473² =
  5. 5.316² =
  6. 6.388² =
  7. 7.7164² =
  8. 8.238² =
  9. 9.355² =
  10. 10.852² =
  11. 11.4087² =
  12. 12.475² =
  13. 13.562² =
  14. 14.3004² =
  15. 15.529² =
  16. 16.548² =
  17. 17.3766² =
  18. 18.396² =
  19. 19.817² =
  20. 20.341² =
  21. 21.942² =
  22. 22.691² =
  23. 23.144² =
  24. 24.981² =
  25. 25.102² =
  26. 26.828² =
  27. 27.3880² =
  28. 28.1736² =
  29. 29.7398² =
  30. 30.602² =
  31. 31.475² =
  32. 32.3447² =
  33. 33.858² =
  34. 34.6055² =
  35. 35.738² =
  36. 36.479² =
  37. 37.866² =
  38. 38.120² =
  39. 39.993² =
  40. 40.6717² =

Answer key

  1. 770884
  2. 91202500
  3. 5276209
  4. 223729
  5. 99856
  6. 150544
  7. 51322896
  8. 56644
  9. 126025
  10. 725904
  11. 16703569
  12. 225625
  13. 315844
  14. 9024016
  15. 279841
  16. 300304
  17. 14182756
  18. 156816
  19. 667489
  20. 116281
  21. 887364
  22. 477481
  23. 20736
  24. 962361
  25. 10404
  26. 685584
  27. 15054400
  28. 3013696
  29. 54730404
  30. 362404
  31. 225625
  32. 11881809
  33. 736164
  34. 36663025
  35. 544644
  36. 229441
  37. 749956
  38. 14400
  39. 986049
  40. 45118089

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