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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 448 · 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. 1.8457² =
  2. 2.2553² =
  3. 3.940² =
  4. 4.587² =
  5. 5.9594² =
  6. 6.485² =
  7. 7.157² =
  8. 8.1010² =
  9. 9.268² =
  10. 10.680² =
  11. 11.6769² =
  12. 12.338² =
  13. 13.1137² =
  14. 14.3012² =
  15. 15.5378² =
  16. 16.985² =
  17. 17.6683² =
  18. 18.6511² =
  19. 19.378² =
  20. 20.386² =
  21. 21.378² =
  22. 22.737² =
  23. 23.189² =
  24. 24.7831² =
  25. 25.2438² =
  26. 26.2824² =
  27. 27.1760² =
  28. 28.881² =
  29. 29.921² =
  30. 30.540² =
  31. 31.840² =
  32. 32.190² =
  33. 33.882² =
  34. 34.692² =
  35. 35.868² =
  36. 36.7908² =
  37. 37.5342² =
  38. 38.526² =
  39. 39.301² =
  40. 40.494² =

Answer key

  1. 71520849
  2. 6517809
  3. 883600
  4. 344569
  5. 92044836
  6. 235225
  7. 24649
  8. 1020100
  9. 71824
  10. 462400
  11. 45819361
  12. 114244
  13. 1292769
  14. 9072144
  15. 28922884
  16. 970225
  17. 44662489
  18. 42393121
  19. 142884
  20. 148996
  21. 142884
  22. 543169
  23. 35721
  24. 61324561
  25. 5943844
  26. 7974976
  27. 3097600
  28. 776161
  29. 848241
  30. 291600
  31. 705600
  32. 36100
  33. 777924
  34. 478864
  35. 753424
  36. 62536464
  37. 28536964
  38. 276676
  39. 90601
  40. 244036

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