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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 915 · 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. 1.212² =
  2. 2.5355² =
  3. 3.493² =
  4. 4.2878² =
  5. 5.170² =
  6. 6.116² =
  7. 7.108² =
  8. 8.614² =
  9. 9.257² =
  10. 10.608² =
  11. 11.191² =
  12. 12.974² =
  13. 13.834² =
  14. 14.786² =
  15. 15.5625² =
  16. 16.5542² =
  17. 17.164² =
  18. 18.723² =
  19. 19.7129² =
  20. 20.265² =
  21. 21.313² =
  22. 22.9774² =
  23. 23.3502² =
  24. 24.2730² =
  25. 25.361² =
  26. 26.480² =
  27. 27.866² =
  28. 28.926² =
  29. 29.915² =
  30. 30.862² =
  31. 31.116² =
  32. 32.990² =
  33. 33.118² =
  34. 34.9614² =
  35. 35.700² =
  36. 36.359² =
  37. 37.497² =
  38. 38.136² =
  39. 39.189² =
  40. 40.313² =

Answer key

  1. 44944
  2. 28676025
  3. 243049
  4. 8282884
  5. 28900
  6. 13456
  7. 11664
  8. 376996
  9. 66049
  10. 369664
  11. 36481
  12. 948676
  13. 695556
  14. 617796
  15. 31640625
  16. 30713764
  17. 26896
  18. 522729
  19. 50822641
  20. 70225
  21. 97969
  22. 95531076
  23. 12264004
  24. 7452900
  25. 130321
  26. 230400
  27. 749956
  28. 857476
  29. 837225
  30. 743044
  31. 13456
  32. 980100
  33. 13924
  34. 92428996
  35. 490000
  36. 128881
  37. 247009
  38. 18496
  39. 35721
  40. 97969

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