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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 457 · 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. 1.966² =
  2. 2.894² =
  3. 3.5721² =
  4. 4.197² =
  5. 5.611² =
  6. 6.149² =
  7. 7.350² =
  8. 8.622² =
  9. 9.473² =
  10. 10.327² =
  11. 11.277² =
  12. 12.214² =
  13. 13.177² =
  14. 14.7494² =
  15. 15.543² =
  16. 16.220² =
  17. 17.209² =
  18. 18.2125² =
  19. 19.855² =
  20. 20.5779² =
  21. 21.1445² =
  22. 22.5177² =
  23. 23.627² =
  24. 24.679² =
  25. 25.2219² =
  26. 26.112² =
  27. 27.7686² =
  28. 28.5731² =
  29. 29.772² =
  30. 30.337² =
  31. 31.2810² =
  32. 32.1229² =
  33. 33.7417² =
  34. 34.3549² =
  35. 35.4477² =
  36. 36.997² =
  37. 37.872² =
  38. 38.806² =
  39. 39.5038² =
  40. 40.293² =

Answer key

  1. 933156
  2. 799236
  3. 32729841
  4. 38809
  5. 373321
  6. 22201
  7. 122500
  8. 386884
  9. 223729
  10. 106929
  11. 76729
  12. 45796
  13. 31329
  14. 56160036
  15. 294849
  16. 48400
  17. 43681
  18. 4515625
  19. 731025
  20. 33396841
  21. 2088025
  22. 26801329
  23. 393129
  24. 461041
  25. 4923961
  26. 12544
  27. 59074596
  28. 32844361
  29. 595984
  30. 113569
  31. 7896100
  32. 1510441
  33. 55011889
  34. 12595401
  35. 20043529
  36. 994009
  37. 760384
  38. 649636
  39. 25381444
  40. 85849

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