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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 901 · 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. 1.691² =
  2. 2.648² =
  3. 3.719² =
  4. 4.4816² =
  5. 5.9513² =
  6. 6.379² =
  7. 7.940² =
  8. 8.188² =
  9. 9.841² =
  10. 10.559² =
  11. 11.4512² =
  12. 12.630² =
  13. 13.701² =
  14. 14.3650² =
  15. 15.4230² =
  16. 16.9473² =
  17. 17.3375² =
  18. 18.6145² =
  19. 19.671² =
  20. 20.614² =
  21. 21.590² =
  22. 22.4717² =
  23. 23.416² =
  24. 24.416² =
  25. 25.880² =
  26. 26.245² =
  27. 27.9392² =
  28. 28.113² =
  29. 29.839² =
  30. 30.981² =
  31. 31.585² =
  32. 32.3750² =
  33. 33.842² =
  34. 34.115² =
  35. 35.6588² =
  36. 36.901² =
  37. 37.646² =
  38. 38.185² =
  39. 39.160² =
  40. 40.3435² =

Answer key

  1. 477481
  2. 419904
  3. 516961
  4. 23193856
  5. 90497169
  6. 143641
  7. 883600
  8. 35344
  9. 707281
  10. 312481
  11. 20358144
  12. 396900
  13. 491401
  14. 13322500
  15. 17892900
  16. 89737729
  17. 11390625
  18. 37761025
  19. 450241
  20. 376996
  21. 348100
  22. 22250089
  23. 173056
  24. 173056
  25. 774400
  26. 60025
  27. 88209664
  28. 12769
  29. 703921
  30. 962361
  31. 342225
  32. 14062500
  33. 708964
  34. 13225
  35. 43401744
  36. 811801
  37. 417316
  38. 34225
  39. 25600
  40. 11799225

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