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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 107 · 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. 1.842² =
  2. 2.3318² =
  3. 3.180² =
  4. 4.102² =
  5. 5.3247² =
  6. 6.6597² =
  7. 7.507² =
  8. 8.151² =
  9. 9.897² =
  10. 10.467² =
  11. 11.254² =
  12. 12.3023² =
  13. 13.4526² =
  14. 14.826² =
  15. 15.147² =
  16. 16.789² =
  17. 17.122² =
  18. 18.3043² =
  19. 19.871² =
  20. 20.188² =
  21. 21.629² =
  22. 22.285² =
  23. 23.331² =
  24. 24.167² =
  25. 25.355² =
  26. 26.382² =
  27. 27.3140² =
  28. 28.571² =
  29. 29.9574² =
  30. 30.934² =
  31. 31.1153² =
  32. 32.216² =
  33. 33.245² =
  34. 34.949² =
  35. 35.916² =
  36. 36.872² =
  37. 37.691² =
  38. 38.2698² =
  39. 39.130² =
  40. 40.210² =

Answer key

  1. 708964
  2. 11009124
  3. 32400
  4. 10404
  5. 10543009
  6. 43520409
  7. 257049
  8. 22801
  9. 804609
  10. 218089
  11. 64516
  12. 9138529
  13. 20484676
  14. 682276
  15. 21609
  16. 622521
  17. 14884
  18. 9259849
  19. 758641
  20. 35344
  21. 395641
  22. 81225
  23. 109561
  24. 27889
  25. 126025
  26. 145924
  27. 9859600
  28. 326041
  29. 91661476
  30. 872356
  31. 1329409
  32. 46656
  33. 60025
  34. 900601
  35. 839056
  36. 760384
  37. 477481
  38. 7279204
  39. 16900
  40. 44100

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