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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 683 · 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. 1.7507² =
  2. 2.639² =
  3. 3.350² =
  4. 4.278² =
  5. 5.565² =
  6. 6.495² =
  7. 7.6983² =
  8. 8.565² =
  9. 9.209² =
  10. 10.2320² =
  11. 11.5234² =
  12. 12.266² =
  13. 13.939² =
  14. 14.274² =
  15. 15.741² =
  16. 16.3621² =
  17. 17.900² =
  18. 18.102² =
  19. 19.573² =
  20. 20.5936² =
  21. 21.9790² =
  22. 22.9870² =
  23. 23.771² =
  24. 24.338² =
  25. 25.385² =
  26. 26.2312² =
  27. 27.7329² =
  28. 28.303² =
  29. 29.414² =
  30. 30.5075² =
  31. 31.358² =
  32. 32.4404² =
  33. 33.107² =
  34. 34.3035² =
  35. 35.799² =
  36. 36.3592² =
  37. 37.364² =
  38. 38.821² =
  39. 39.272² =
  40. 40.529² =

Answer key

  1. 56355049
  2. 408321
  3. 122500
  4. 77284
  5. 319225
  6. 245025
  7. 48762289
  8. 319225
  9. 43681
  10. 5382400
  11. 27394756
  12. 70756
  13. 881721
  14. 75076
  15. 549081
  16. 13111641
  17. 810000
  18. 10404
  19. 328329
  20. 35236096
  21. 95844100
  22. 97416900
  23. 594441
  24. 114244
  25. 148225
  26. 5345344
  27. 53714241
  28. 91809
  29. 171396
  30. 25755625
  31. 128164
  32. 19395216
  33. 11449
  34. 9211225
  35. 638401
  36. 12902464
  37. 132496
  38. 674041
  39. 73984
  40. 279841

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