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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 306 · 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. 1.3956² =
  2. 2.1072² =
  3. 3.408² =
  4. 4.881² =
  5. 5.900² =
  6. 6.416² =
  7. 7.318² =
  8. 8.317² =
  9. 9.3567² =
  10. 10.231² =
  11. 11.837² =
  12. 12.578² =
  13. 13.2161² =
  14. 14.885² =
  15. 15.983² =
  16. 16.9463² =
  17. 17.403² =
  18. 18.240² =
  19. 19.5455² =
  20. 20.253² =
  21. 21.801² =
  22. 22.149² =
  23. 23.253² =
  24. 24.244² =
  25. 25.137² =
  26. 26.872² =
  27. 27.845² =
  28. 28.756² =
  29. 29.5473² =
  30. 30.144² =
  31. 31.642² =
  32. 32.351² =
  33. 33.647² =
  34. 34.753² =
  35. 35.951² =
  36. 36.465² =
  37. 37.340² =
  38. 38.6557² =
  39. 39.297² =
  40. 40.609² =

Answer key

  1. 15649936
  2. 1149184
  3. 166464
  4. 776161
  5. 810000
  6. 173056
  7. 101124
  8. 100489
  9. 12723489
  10. 53361
  11. 700569
  12. 334084
  13. 4669921
  14. 783225
  15. 966289
  16. 89548369
  17. 162409
  18. 57600
  19. 29757025
  20. 64009
  21. 641601
  22. 22201
  23. 64009
  24. 59536
  25. 18769
  26. 760384
  27. 714025
  28. 571536
  29. 29953729
  30. 20736
  31. 412164
  32. 123201
  33. 418609
  34. 567009
  35. 904401
  36. 216225
  37. 115600
  38. 42994249
  39. 88209
  40. 370881

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