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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 636 · 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. 1.6096² =
  2. 2.9188² =
  3. 3.341² =
  4. 4.341² =
  5. 5.472² =
  6. 6.6329² =
  7. 7.207² =
  8. 8.2732² =
  9. 9.793² =
  10. 10.817² =
  11. 11.4101² =
  12. 12.411² =
  13. 13.346² =
  14. 14.217² =
  15. 15.636² =
  16. 16.449² =
  17. 17.497² =
  18. 18.784² =
  19. 19.243² =
  20. 20.436² =
  21. 21.224² =
  22. 22.6249² =
  23. 23.870² =
  24. 24.561² =
  25. 25.6247² =
  26. 26.643² =
  27. 27.996² =
  28. 28.4489² =
  29. 29.249² =
  30. 30.375² =
  31. 31.7118² =
  32. 32.251² =
  33. 33.930² =
  34. 34.298² =
  35. 35.3513² =
  36. 36.292² =
  37. 37.923² =
  38. 38.880² =
  39. 39.665² =
  40. 40.6862² =

Answer key

  1. 37161216
  2. 84419344
  3. 116281
  4. 116281
  5. 222784
  6. 40056241
  7. 42849
  8. 7463824
  9. 628849
  10. 667489
  11. 16818201
  12. 168921
  13. 119716
  14. 47089
  15. 404496
  16. 201601
  17. 247009
  18. 614656
  19. 59049
  20. 190096
  21. 50176
  22. 39050001
  23. 756900
  24. 314721
  25. 39025009
  26. 413449
  27. 992016
  28. 20151121
  29. 62001
  30. 140625
  31. 50665924
  32. 63001
  33. 864900
  34. 88804
  35. 12341169
  36. 85264
  37. 851929
  38. 774400
  39. 442225
  40. 47087044

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