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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 301 · 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. 1.342² =
  2. 2.225² =
  3. 3.1981² =
  4. 4.360² =
  5. 5.283² =
  6. 6.126² =
  7. 7.553² =
  8. 8.681² =
  9. 9.131² =
  10. 10.718² =
  11. 11.431² =
  12. 12.470² =
  13. 13.518² =
  14. 14.8728² =
  15. 15.4224² =
  16. 16.560² =
  17. 17.919² =
  18. 18.4667² =
  19. 19.524² =
  20. 20.2277² =
  21. 21.863² =
  22. 22.154² =
  23. 23.5785² =
  24. 24.961² =
  25. 25.5290² =
  26. 26.5986² =
  27. 27.303² =
  28. 28.203² =
  29. 29.641² =
  30. 30.525² =
  31. 31.4844² =
  32. 32.814² =
  33. 33.888² =
  34. 34.504² =
  35. 35.632² =
  36. 36.118² =
  37. 37.315² =
  38. 38.894² =
  39. 39.576² =
  40. 40.951² =

Answer key

  1. 116964
  2. 50625
  3. 3924361
  4. 129600
  5. 80089
  6. 15876
  7. 305809
  8. 463761
  9. 17161
  10. 515524
  11. 185761
  12. 220900
  13. 268324
  14. 76177984
  15. 17842176
  16. 313600
  17. 844561
  18. 21780889
  19. 274576
  20. 5184729
  21. 744769
  22. 23716
  23. 33466225
  24. 923521
  25. 27984100
  26. 35832196
  27. 91809
  28. 41209
  29. 410881
  30. 275625
  31. 23464336
  32. 662596
  33. 788544
  34. 254016
  35. 399424
  36. 13924
  37. 99225
  38. 799236
  39. 331776
  40. 904401

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