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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 116 · 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. 1.3597² =
  2. 2.4855² =
  3. 3.287² =
  4. 4.863² =
  5. 5.462² =
  6. 6.3158² =
  7. 7.739² =
  8. 8.6108² =
  9. 9.129² =
  10. 10.635² =
  11. 11.900² =
  12. 12.392² =
  13. 13.586² =
  14. 14.490² =
  15. 15.1117² =
  16. 16.852² =
  17. 17.158² =
  18. 18.542² =
  19. 19.8428² =
  20. 20.748² =
  21. 21.7111² =
  22. 22.893² =
  23. 23.3491² =
  24. 24.4370² =
  25. 25.656² =
  26. 26.3385² =
  27. 27.8375² =
  28. 28.367² =
  29. 29.272² =
  30. 30.7038² =
  31. 31.909² =
  32. 32.484² =
  33. 33.406² =
  34. 34.565² =
  35. 35.748² =
  36. 36.6066² =
  37. 37.6135² =
  38. 38.3604² =
  39. 39.304² =
  40. 40.125² =

Answer key

  1. 12938409
  2. 23571025
  3. 82369
  4. 744769
  5. 213444
  6. 9972964
  7. 546121
  8. 37307664
  9. 16641
  10. 403225
  11. 810000
  12. 153664
  13. 343396
  14. 240100
  15. 1247689
  16. 725904
  17. 24964
  18. 293764
  19. 71031184
  20. 559504
  21. 50566321
  22. 797449
  23. 12187081
  24. 19096900
  25. 430336
  26. 11458225
  27. 70140625
  28. 134689
  29. 73984
  30. 49533444
  31. 826281
  32. 234256
  33. 164836
  34. 319225
  35. 559504
  36. 36796356
  37. 37638225
  38. 12988816
  39. 92416
  40. 15625

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