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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 11 · 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. 1.699² =
  2. 2.991² =
  3. 3.1497² =
  4. 4.520² =
  5. 5.3731² =
  6. 6.340² =
  7. 7.338² =
  8. 8.1725² =
  9. 9.625² =
  10. 10.2953² =
  11. 11.162² =
  12. 12.307² =
  13. 13.278² =
  14. 14.233² =
  15. 15.3943² =
  16. 16.653² =
  17. 17.246² =
  18. 18.652² =
  19. 19.3351² =
  20. 20.142² =
  21. 21.5874² =
  22. 22.822² =
  23. 23.729² =
  24. 24.818² =
  25. 25.524² =
  26. 26.685² =
  27. 27.265² =
  28. 28.524² =
  29. 29.522² =
  30. 30.329² =
  31. 31.213² =
  32. 32.358² =
  33. 33.270² =
  34. 34.222² =
  35. 35.340² =
  36. 36.685² =
  37. 37.5378² =
  38. 38.983² =
  39. 39.534² =
  40. 40.3563² =

Answer key

  1. 488601
  2. 982081
  3. 2241009
  4. 270400
  5. 13920361
  6. 115600
  7. 114244
  8. 2975625
  9. 390625
  10. 8720209
  11. 26244
  12. 94249
  13. 77284
  14. 54289
  15. 15547249
  16. 426409
  17. 60516
  18. 425104
  19. 11229201
  20. 20164
  21. 34503876
  22. 675684
  23. 531441
  24. 669124
  25. 274576
  26. 469225
  27. 70225
  28. 274576
  29. 272484
  30. 108241
  31. 45369
  32. 128164
  33. 72900
  34. 49284
  35. 115600
  36. 469225
  37. 28922884
  38. 966289
  39. 285156
  40. 12694969

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