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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 397 · 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. 1.729² =
  2. 2.275² =
  3. 3.668² =
  4. 4.8432² =
  5. 5.246² =
  6. 6.543² =
  7. 7.396² =
  8. 8.221² =
  9. 9.226² =
  10. 10.556² =
  11. 11.273² =
  12. 12.557² =
  13. 13.716² =
  14. 14.953² =
  15. 15.440² =
  16. 16.732² =
  17. 17.867² =
  18. 18.339² =
  19. 19.941² =
  20. 20.527² =
  21. 21.1861² =
  22. 22.8461² =
  23. 23.986² =
  24. 24.310² =
  25. 25.816² =
  26. 26.7915² =
  27. 27.699² =
  28. 28.824² =
  29. 29.169² =
  30. 30.1367² =
  31. 31.894² =
  32. 32.848² =
  33. 33.375² =
  34. 34.2693² =
  35. 35.230² =
  36. 36.945² =
  37. 37.122² =
  38. 38.328² =
  39. 39.367² =
  40. 40.336² =

Answer key

  1. 531441
  2. 75625
  3. 446224
  4. 71098624
  5. 60516
  6. 294849
  7. 156816
  8. 48841
  9. 51076
  10. 309136
  11. 74529
  12. 310249
  13. 512656
  14. 908209
  15. 193600
  16. 535824
  17. 751689
  18. 114921
  19. 885481
  20. 277729
  21. 3463321
  22. 71588521
  23. 972196
  24. 96100
  25. 665856
  26. 62647225
  27. 488601
  28. 678976
  29. 28561
  30. 1868689
  31. 799236
  32. 719104
  33. 140625
  34. 7252249
  35. 52900
  36. 893025
  37. 14884
  38. 107584
  39. 134689
  40. 112896

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