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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 478 · 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. 1.134² =
  2. 2.4676² =
  3. 3.339² =
  4. 4.3797² =
  5. 5.108² =
  6. 6.2685² =
  7. 7.997² =
  8. 8.503² =
  9. 9.705² =
  10. 10.440² =
  11. 11.349² =
  12. 12.324² =
  13. 13.305² =
  14. 14.8928² =
  15. 15.3261² =
  16. 16.381² =
  17. 17.150² =
  18. 18.301² =
  19. 19.961² =
  20. 20.6370² =
  21. 21.896² =
  22. 22.271² =
  23. 23.787² =
  24. 24.711² =
  25. 25.172² =
  26. 26.6527² =
  27. 27.783² =
  28. 28.682² =
  29. 29.9320² =
  30. 30.430² =
  31. 31.400² =
  32. 32.157² =
  33. 33.784² =
  34. 34.585² =
  35. 35.902² =
  36. 36.933² =
  37. 37.869² =
  38. 38.263² =
  39. 39.807² =
  40. 40.2093² =

Answer key

  1. 17956
  2. 21864976
  3. 114921
  4. 14417209
  5. 11664
  6. 7209225
  7. 994009
  8. 253009
  9. 497025
  10. 193600
  11. 121801
  12. 104976
  13. 93025
  14. 79709184
  15. 10634121
  16. 145161
  17. 22500
  18. 90601
  19. 923521
  20. 40576900
  21. 802816
  22. 73441
  23. 619369
  24. 505521
  25. 29584
  26. 42601729
  27. 613089
  28. 465124
  29. 86862400
  30. 184900
  31. 160000
  32. 24649
  33. 614656
  34. 342225
  35. 813604
  36. 870489
  37. 755161
  38. 69169
  39. 651249
  40. 4380649

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