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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 900 · 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. 1.440² =
  2. 2.1254² =
  3. 3.740² =
  4. 4.775² =
  5. 5.761² =
  6. 6.851² =
  7. 7.901² =
  8. 8.999² =
  9. 9.410² =
  10. 10.279² =
  11. 11.280² =
  12. 12.148² =
  13. 13.634² =
  14. 14.4027² =
  15. 15.132² =
  16. 16.359² =
  17. 17.3937² =
  18. 18.491² =
  19. 19.802² =
  20. 20.184² =
  21. 21.436² =
  22. 22.8892² =
  23. 23.972² =
  24. 24.870² =
  25. 25.360² =
  26. 26.509² =
  27. 27.135² =
  28. 28.8574² =
  29. 29.4947² =
  30. 30.505² =
  31. 31.651² =
  32. 32.432² =
  33. 33.330² =
  34. 34.508² =
  35. 35.264² =
  36. 36.182² =
  37. 37.1020² =
  38. 38.321² =
  39. 39.640² =
  40. 40.2657² =

Answer key

  1. 193600
  2. 1572516
  3. 547600
  4. 600625
  5. 579121
  6. 724201
  7. 811801
  8. 998001
  9. 168100
  10. 77841
  11. 78400
  12. 21904
  13. 401956
  14. 16216729
  15. 17424
  16. 128881
  17. 15499969
  18. 241081
  19. 643204
  20. 33856
  21. 190096
  22. 79067664
  23. 944784
  24. 756900
  25. 129600
  26. 259081
  27. 18225
  28. 73513476
  29. 24472809
  30. 255025
  31. 423801
  32. 186624
  33. 108900
  34. 258064
  35. 69696
  36. 33124
  37. 1040400
  38. 103041
  39. 409600
  40. 7059649

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