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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 746 · 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. 1.5974² =
  2. 2.9492² =
  3. 3.244² =
  4. 4.383² =
  5. 5.8478² =
  6. 6.6137² =
  7. 7.863² =
  8. 8.271² =
  9. 9.342² =
  10. 10.394² =
  11. 11.205² =
  12. 12.214² =
  13. 13.144² =
  14. 14.546² =
  15. 15.680² =
  16. 16.6730² =
  17. 17.959² =
  18. 18.2377² =
  19. 19.135² =
  20. 20.6438² =
  21. 21.867² =
  22. 22.821² =
  23. 23.191² =
  24. 24.3431² =
  25. 25.901² =
  26. 26.580² =
  27. 27.408² =
  28. 28.793² =
  29. 29.7197² =
  30. 30.2401² =
  31. 31.5651² =
  32. 32.269² =
  33. 33.630² =
  34. 34.671² =
  35. 35.911² =
  36. 36.532² =
  37. 37.900² =
  38. 38.9123² =
  39. 39.215² =
  40. 40.4005² =

Answer key

  1. 35688676
  2. 90098064
  3. 59536
  4. 146689
  5. 71876484
  6. 37662769
  7. 744769
  8. 73441
  9. 116964
  10. 155236
  11. 42025
  12. 45796
  13. 20736
  14. 298116
  15. 462400
  16. 45292900
  17. 919681
  18. 5650129
  19. 18225
  20. 41447844
  21. 751689
  22. 674041
  23. 36481
  24. 11771761
  25. 811801
  26. 336400
  27. 166464
  28. 628849
  29. 51796809
  30. 5764801
  31. 31933801
  32. 72361
  33. 396900
  34. 450241
  35. 829921
  36. 283024
  37. 810000
  38. 83229129
  39. 46225
  40. 16040025

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