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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 753 · 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. 1.199² =
  2. 2.213² =
  3. 3.4103² =
  4. 4.869² =
  5. 5.2095² =
  6. 6.453² =
  7. 7.330² =
  8. 8.7774² =
  9. 9.975² =
  10. 10.261² =
  11. 11.9318² =
  12. 12.377² =
  13. 13.5010² =
  14. 14.535² =
  15. 15.923² =
  16. 16.348² =
  17. 17.828² =
  18. 18.1360² =
  19. 19.152² =
  20. 20.588² =
  21. 21.235² =
  22. 22.732² =
  23. 23.133² =
  24. 24.460² =
  25. 25.322² =
  26. 26.110² =
  27. 27.7716² =
  28. 28.657² =
  29. 29.172² =
  30. 30.976² =
  31. 31.219² =
  32. 32.103² =
  33. 33.113² =
  34. 34.1410² =
  35. 35.3152² =
  36. 36.748² =
  37. 37.188² =
  38. 38.481² =
  39. 39.627² =
  40. 40.604² =

Answer key

  1. 39601
  2. 45369
  3. 16834609
  4. 755161
  5. 4389025
  6. 205209
  7. 108900
  8. 60435076
  9. 950625
  10. 68121
  11. 86825124
  12. 142129
  13. 25100100
  14. 286225
  15. 851929
  16. 121104
  17. 685584
  18. 1849600
  19. 23104
  20. 345744
  21. 55225
  22. 535824
  23. 17689
  24. 211600
  25. 103684
  26. 12100
  27. 59536656
  28. 431649
  29. 29584
  30. 952576
  31. 47961
  32. 10609
  33. 12769
  34. 1988100
  35. 9935104
  36. 559504
  37. 35344
  38. 231361
  39. 393129
  40. 364816

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