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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 449 · 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. 1.238² =
  2. 2.768² =
  3. 3.7366² =
  4. 4.5940² =
  5. 5.729² =
  6. 6.750² =
  7. 7.940² =
  8. 8.257² =
  9. 9.905² =
  10. 10.1791² =
  11. 11.1660² =
  12. 12.7862² =
  13. 13.513² =
  14. 14.820² =
  15. 15.987² =
  16. 16.1280² =
  17. 17.352² =
  18. 18.548² =
  19. 19.841² =
  20. 20.427² =
  21. 21.8023² =
  22. 22.7397² =
  23. 23.1737² =
  24. 24.211² =
  25. 25.783² =
  26. 26.762² =
  27. 27.624² =
  28. 28.146² =
  29. 29.1163² =
  30. 30.178² =
  31. 31.2945² =
  32. 32.693² =
  33. 33.625² =
  34. 34.341² =
  35. 35.825² =
  36. 36.496² =
  37. 37.844² =
  38. 38.639² =
  39. 39.362² =
  40. 40.161² =

Answer key

  1. 56644
  2. 589824
  3. 54257956
  4. 35283600
  5. 531441
  6. 562500
  7. 883600
  8. 66049
  9. 819025
  10. 3207681
  11. 2755600
  12. 61811044
  13. 263169
  14. 672400
  15. 974169
  16. 1638400
  17. 123904
  18. 300304
  19. 707281
  20. 182329
  21. 64368529
  22. 54715609
  23. 3017169
  24. 44521
  25. 613089
  26. 580644
  27. 389376
  28. 21316
  29. 1352569
  30. 31684
  31. 8673025
  32. 480249
  33. 390625
  34. 116281
  35. 680625
  36. 246016
  37. 712336
  38. 408321
  39. 131044
  40. 25921

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