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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 549 · 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. 1.2353² =
  2. 2.3181² =
  3. 3.2045² =
  4. 4.219² =
  5. 5.613² =
  6. 6.5202² =
  7. 7.478² =
  8. 8.3374² =
  9. 9.998² =
  10. 10.836² =
  11. 11.241² =
  12. 12.146² =
  13. 13.571² =
  14. 14.5039² =
  15. 15.302² =
  16. 16.824² =
  17. 17.164² =
  18. 18.280² =
  19. 19.753² =
  20. 20.209² =
  21. 21.213² =
  22. 22.897² =
  23. 23.3830² =
  24. 24.696² =
  25. 25.569² =
  26. 26.421² =
  27. 27.349² =
  28. 28.329² =
  29. 29.5551² =
  30. 30.257² =
  31. 31.506² =
  32. 32.935² =
  33. 33.773² =
  34. 34.409² =
  35. 35.259² =
  36. 36.2753² =
  37. 37.962² =
  38. 38.6629² =
  39. 39.935² =
  40. 40.4841² =

Answer key

  1. 5536609
  2. 10118761
  3. 4182025
  4. 47961
  5. 375769
  6. 27060804
  7. 228484
  8. 11383876
  9. 996004
  10. 698896
  11. 58081
  12. 21316
  13. 326041
  14. 25391521
  15. 91204
  16. 678976
  17. 26896
  18. 78400
  19. 567009
  20. 43681
  21. 45369
  22. 804609
  23. 14668900
  24. 484416
  25. 323761
  26. 177241
  27. 121801
  28. 108241
  29. 30813601
  30. 66049
  31. 256036
  32. 874225
  33. 597529
  34. 167281
  35. 67081
  36. 7579009
  37. 925444
  38. 43943641
  39. 874225
  40. 23435281

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