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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 965 · 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. 1.7738² =
  2. 2.148² =
  3. 3.801² =
  4. 4.832² =
  5. 5.4031² =
  6. 6.3682² =
  7. 7.808² =
  8. 8.7373² =
  9. 9.452² =
  10. 10.4950² =
  11. 11.667² =
  12. 12.732² =
  13. 13.168² =
  14. 14.712² =
  15. 15.335² =
  16. 16.403² =
  17. 17.642² =
  18. 18.320² =
  19. 19.175² =
  20. 20.183² =
  21. 21.873² =
  22. 22.470² =
  23. 23.8451² =
  24. 24.974² =
  25. 25.627² =
  26. 26.717² =
  27. 27.657² =
  28. 28.588² =
  29. 29.240² =
  30. 30.816² =
  31. 31.1668² =
  32. 32.941² =
  33. 33.7394² =
  34. 34.1191² =
  35. 35.803² =
  36. 36.717² =
  37. 37.2165² =
  38. 38.538² =
  39. 39.880² =
  40. 40.4149² =

Answer key

  1. 59876644
  2. 21904
  3. 641601
  4. 692224
  5. 16248961
  6. 13557124
  7. 652864
  8. 54361129
  9. 204304
  10. 24502500
  11. 444889
  12. 535824
  13. 28224
  14. 506944
  15. 112225
  16. 162409
  17. 412164
  18. 102400
  19. 30625
  20. 33489
  21. 762129
  22. 220900
  23. 71419401
  24. 948676
  25. 393129
  26. 514089
  27. 431649
  28. 345744
  29. 57600
  30. 665856
  31. 2782224
  32. 885481
  33. 54671236
  34. 1418481
  35. 644809
  36. 514089
  37. 4687225
  38. 289444
  39. 774400
  40. 17214201

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