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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 497 · 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. 1.172² =
  2. 2.105² =
  3. 3.367² =
  4. 4.740² =
  5. 5.812² =
  6. 6.596² =
  7. 7.607² =
  8. 8.985² =
  9. 9.278² =
  10. 10.537² =
  11. 11.363² =
  12. 12.523² =
  13. 13.231² =
  14. 14.516² =
  15. 15.1783² =
  16. 16.9573² =
  17. 17.313² =
  18. 18.4858² =
  19. 19.847² =
  20. 20.328² =
  21. 21.508² =
  22. 22.185² =
  23. 23.101² =
  24. 24.803² =
  25. 25.162² =
  26. 26.522² =
  27. 27.6524² =
  28. 28.691² =
  29. 29.347² =
  30. 30.714² =
  31. 31.799² =
  32. 32.7196² =
  33. 33.276² =
  34. 34.2943² =
  35. 35.279² =
  36. 36.454² =
  37. 37.729² =
  38. 38.2190² =
  39. 39.644² =
  40. 40.3132² =

Answer key

  1. 29584
  2. 11025
  3. 134689
  4. 547600
  5. 659344
  6. 355216
  7. 368449
  8. 970225
  9. 77284
  10. 288369
  11. 131769
  12. 273529
  13. 53361
  14. 266256
  15. 3179089
  16. 91642329
  17. 97969
  18. 23600164
  19. 717409
  20. 107584
  21. 258064
  22. 34225
  23. 10201
  24. 644809
  25. 26244
  26. 272484
  27. 42562576
  28. 477481
  29. 120409
  30. 509796
  31. 638401
  32. 51782416
  33. 76176
  34. 8661249
  35. 77841
  36. 206116
  37. 531441
  38. 4796100
  39. 414736
  40. 9809424

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