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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 362 · 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. 1.7422² =
  2. 2.7776² =
  3. 3.7173² =
  4. 4.751² =
  5. 5.255² =
  6. 6.205² =
  7. 7.437² =
  8. 8.848² =
  9. 9.582² =
  10. 10.656² =
  11. 11.3057² =
  12. 12.239² =
  13. 13.106² =
  14. 14.759² =
  15. 15.8944² =
  16. 16.560² =
  17. 17.716² =
  18. 18.680² =
  19. 19.439² =
  20. 20.372² =
  21. 21.413² =
  22. 22.680² =
  23. 23.221² =
  24. 24.987² =
  25. 25.118² =
  26. 26.217² =
  27. 27.131² =
  28. 28.369² =
  29. 29.6331² =
  30. 30.876² =
  31. 31.636² =
  32. 32.192² =
  33. 33.149² =
  34. 34.306² =
  35. 35.8405² =
  36. 36.329² =
  37. 37.654² =
  38. 38.7174² =
  39. 39.141² =
  40. 40.224² =

Answer key

  1. 55086084
  2. 60466176
  3. 51451929
  4. 564001
  5. 65025
  6. 42025
  7. 190969
  8. 719104
  9. 338724
  10. 430336
  11. 9345249
  12. 57121
  13. 11236
  14. 576081
  15. 79995136
  16. 313600
  17. 512656
  18. 462400
  19. 192721
  20. 138384
  21. 170569
  22. 462400
  23. 48841
  24. 974169
  25. 13924
  26. 47089
  27. 17161
  28. 136161
  29. 40081561
  30. 767376
  31. 404496
  32. 36864
  33. 22201
  34. 93636
  35. 70644025
  36. 108241
  37. 427716
  38. 51466276
  39. 19881
  40. 50176

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