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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 367 · 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. 1.9369² =
  2. 2.589² =
  3. 3.4169² =
  4. 4.394² =
  5. 5.329² =
  6. 6.7985² =
  7. 7.361² =
  8. 8.286² =
  9. 9.477² =
  10. 10.343² =
  11. 11.749² =
  12. 12.839² =
  13. 13.6863² =
  14. 14.297² =
  15. 15.271² =
  16. 16.693² =
  17. 17.4206² =
  18. 18.709² =
  19. 19.347² =
  20. 20.6378² =
  21. 21.737² =
  22. 22.3092² =
  23. 23.447² =
  24. 24.812² =
  25. 25.813² =
  26. 26.336² =
  27. 27.575² =
  28. 28.620² =
  29. 29.658² =
  30. 30.9130² =
  31. 31.4991² =
  32. 32.271² =
  33. 33.359² =
  34. 34.199² =
  35. 35.438² =
  36. 36.3176² =
  37. 37.287² =
  38. 38.763² =
  39. 39.7349² =
  40. 40.525² =

Answer key

  1. 87778161
  2. 346921
  3. 17380561
  4. 155236
  5. 108241
  6. 63760225
  7. 130321
  8. 81796
  9. 227529
  10. 117649
  11. 561001
  12. 703921
  13. 47100769
  14. 88209
  15. 73441
  16. 480249
  17. 17690436
  18. 502681
  19. 120409
  20. 40678884
  21. 543169
  22. 9560464
  23. 199809
  24. 659344
  25. 660969
  26. 112896
  27. 330625
  28. 384400
  29. 432964
  30. 83356900
  31. 24910081
  32. 73441
  33. 128881
  34. 39601
  35. 191844
  36. 10086976
  37. 82369
  38. 582169
  39. 54007801
  40. 275625

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