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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 517 · 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. 1.5390² =
  2. 2.877² =
  3. 3.263² =
  4. 4.785² =
  5. 5.5553² =
  6. 6.573² =
  7. 7.9365² =
  8. 8.325² =
  9. 9.781² =
  10. 10.841² =
  11. 11.525² =
  12. 12.535² =
  13. 13.9863² =
  14. 14.223² =
  15. 15.168² =
  16. 16.867² =
  17. 17.498² =
  18. 18.7978² =
  19. 19.336² =
  20. 20.995² =
  21. 21.378² =
  22. 22.671² =
  23. 23.479² =
  24. 24.241² =
  25. 25.146² =
  26. 26.7629² =
  27. 27.666² =
  28. 28.5052² =
  29. 29.348² =
  30. 30.368² =
  31. 31.3209² =
  32. 32.2871² =
  33. 33.418² =
  34. 34.760² =
  35. 35.368² =
  36. 36.591² =
  37. 37.8443² =
  38. 38.7069² =
  39. 39.149² =
  40. 40.435² =

Answer key

  1. 29052100
  2. 769129
  3. 69169
  4. 616225
  5. 30835809
  6. 328329
  7. 87703225
  8. 105625
  9. 609961
  10. 707281
  11. 275625
  12. 286225
  13. 97278769
  14. 49729
  15. 28224
  16. 751689
  17. 248004
  18. 63648484
  19. 112896
  20. 990025
  21. 142884
  22. 450241
  23. 229441
  24. 58081
  25. 21316
  26. 58201641
  27. 443556
  28. 25522704
  29. 121104
  30. 135424
  31. 10297681
  32. 8242641
  33. 174724
  34. 577600
  35. 135424
  36. 349281
  37. 71284249
  38. 49970761
  39. 22201
  40. 189225

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