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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 202 · 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. 1.6656² =
  2. 2.605² =
  3. 3.1497² =
  4. 4.8673² =
  5. 5.127² =
  6. 6.688² =
  7. 7.784² =
  8. 8.1524² =
  9. 9.431² =
  10. 10.792² =
  11. 11.413² =
  12. 12.400² =
  13. 13.5789² =
  14. 14.187² =
  15. 15.853² =
  16. 16.3683² =
  17. 17.614² =
  18. 18.548² =
  19. 19.325² =
  20. 20.977² =
  21. 21.440² =
  22. 22.614² =
  23. 23.8349² =
  24. 24.315² =
  25. 25.6437² =
  26. 26.399² =
  27. 27.692² =
  28. 28.210² =
  29. 29.110² =
  30. 30.9407² =
  31. 31.1992² =
  32. 32.1720² =
  33. 33.359² =
  34. 34.5285² =
  35. 35.280² =
  36. 36.452² =
  37. 37.962² =
  38. 38.251² =
  39. 39.563² =
  40. 40.129² =

Answer key

  1. 44302336
  2. 366025
  3. 2241009
  4. 75220929
  5. 16129
  6. 473344
  7. 614656
  8. 2322576
  9. 185761
  10. 627264
  11. 170569
  12. 160000
  13. 33512521
  14. 34969
  15. 727609
  16. 13564489
  17. 376996
  18. 300304
  19. 105625
  20. 954529
  21. 193600
  22. 376996
  23. 69705801
  24. 99225
  25. 41434969
  26. 159201
  27. 478864
  28. 44100
  29. 12100
  30. 88491649
  31. 3968064
  32. 2958400
  33. 128881
  34. 27931225
  35. 78400
  36. 204304
  37. 925444
  38. 63001
  39. 316969
  40. 16641

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