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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 9 · 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. 1.405² =
  2. 2.7636² =
  3. 3.3575² =
  4. 4.6863² =
  5. 5.578² =
  6. 6.512² =
  7. 7.9596² =
  8. 8.701² =
  9. 9.648² =
  10. 10.186² =
  11. 11.885² =
  12. 12.305² =
  13. 13.8201² =
  14. 14.506² =
  15. 15.984² =
  16. 16.303² =
  17. 17.336² =
  18. 18.716² =
  19. 19.722² =
  20. 20.9247² =
  21. 21.249² =
  22. 22.291² =
  23. 23.852² =
  24. 24.5656² =
  25. 25.129² =
  26. 26.594² =
  27. 27.336² =
  28. 28.147² =
  29. 29.172² =
  30. 30.758² =
  31. 31.239² =
  32. 32.5282² =
  33. 33.817² =
  34. 34.3476² =
  35. 35.640² =
  36. 36.240² =
  37. 37.147² =
  38. 38.946² =
  39. 39.241² =
  40. 40.1860² =

Answer key

  1. 164025
  2. 58308496
  3. 12780625
  4. 47100769
  5. 334084
  6. 262144
  7. 92083216
  8. 491401
  9. 419904
  10. 34596
  11. 783225
  12. 93025
  13. 67256401
  14. 256036
  15. 968256
  16. 91809
  17. 112896
  18. 512656
  19. 521284
  20. 85507009
  21. 62001
  22. 84681
  23. 725904
  24. 31990336
  25. 16641
  26. 352836
  27. 112896
  28. 21609
  29. 29584
  30. 574564
  31. 57121
  32. 27899524
  33. 667489
  34. 12082576
  35. 409600
  36. 57600
  37. 21609
  38. 894916
  39. 58081
  40. 3459600

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