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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 772 · 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. 1.425² =
  2. 2.685² =
  3. 3.624² =
  4. 4.701² =
  5. 5.4251² =
  6. 6.460² =
  7. 7.830² =
  8. 8.8856² =
  9. 9.4124² =
  10. 10.377² =
  11. 11.1990² =
  12. 12.588² =
  13. 13.912² =
  14. 14.307² =
  15. 15.285² =
  16. 16.302² =
  17. 17.893² =
  18. 18.2393² =
  19. 19.870² =
  20. 20.481² =
  21. 21.328² =
  22. 22.537² =
  23. 23.3214² =
  24. 24.400² =
  25. 25.9044² =
  26. 26.801² =
  27. 27.6147² =
  28. 28.237² =
  29. 29.851² =
  30. 30.185² =
  31. 31.983² =
  32. 32.885² =
  33. 33.730² =
  34. 34.505² =
  35. 35.633² =
  36. 36.125² =
  37. 37.928² =
  38. 38.4761² =
  39. 39.316² =
  40. 40.263² =

Answer key

  1. 180625
  2. 469225
  3. 389376
  4. 491401
  5. 18071001
  6. 211600
  7. 688900
  8. 78428736
  9. 17007376
  10. 142129
  11. 3960100
  12. 345744
  13. 831744
  14. 94249
  15. 81225
  16. 91204
  17. 797449
  18. 5726449
  19. 756900
  20. 231361
  21. 107584
  22. 288369
  23. 10329796
  24. 160000
  25. 81793936
  26. 641601
  27. 37785609
  28. 56169
  29. 724201
  30. 34225
  31. 966289
  32. 783225
  33. 532900
  34. 255025
  35. 400689
  36. 15625
  37. 861184
  38. 22667121
  39. 99856
  40. 69169

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