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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 99 · 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. 1.111² =
  2. 2.900² =
  3. 3.227² =
  4. 4.4891² =
  5. 5.425² =
  6. 6.224² =
  7. 7.265² =
  8. 8.419² =
  9. 9.764² =
  10. 10.6373² =
  11. 11.929² =
  12. 12.775² =
  13. 13.219² =
  14. 14.255² =
  15. 15.670² =
  16. 16.610² =
  17. 17.2550² =
  18. 18.224² =
  19. 19.900² =
  20. 20.136² =
  21. 21.885² =
  22. 22.912² =
  23. 23.592² =
  24. 24.496² =
  25. 25.403² =
  26. 26.149² =
  27. 27.506² =
  28. 28.2443² =
  29. 29.907² =
  30. 30.2039² =
  31. 31.1795² =
  32. 32.2020² =
  33. 33.166² =
  34. 34.8480² =
  35. 35.8907² =
  36. 36.9989² =
  37. 37.103² =
  38. 38.8378² =
  39. 39.837² =
  40. 40.635² =

Answer key

  1. 12321
  2. 810000
  3. 51529
  4. 23921881
  5. 180625
  6. 50176
  7. 70225
  8. 175561
  9. 583696
  10. 40615129
  11. 863041
  12. 600625
  13. 47961
  14. 65025
  15. 448900
  16. 372100
  17. 6502500
  18. 50176
  19. 810000
  20. 18496
  21. 783225
  22. 831744
  23. 350464
  24. 246016
  25. 162409
  26. 22201
  27. 256036
  28. 5968249
  29. 822649
  30. 4157521
  31. 3222025
  32. 4080400
  33. 27556
  34. 71910400
  35. 79334649
  36. 99780121
  37. 10609
  38. 70190884
  39. 700569
  40. 403225

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