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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 727 · 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. 1.330² =
  2. 2.1711² =
  3. 3.747² =
  4. 4.736² =
  5. 5.673² =
  6. 6.1860² =
  7. 7.4760² =
  8. 8.264² =
  9. 9.236² =
  10. 10.747² =
  11. 11.436² =
  12. 12.622² =
  13. 13.701² =
  14. 14.833² =
  15. 15.543² =
  16. 16.145² =
  17. 17.820² =
  18. 18.711² =
  19. 19.9636² =
  20. 20.298² =
  21. 21.271² =
  22. 22.791² =
  23. 23.226² =
  24. 24.434² =
  25. 25.540² =
  26. 26.327² =
  27. 27.162² =
  28. 28.4290² =
  29. 29.7315² =
  30. 30.720² =
  31. 31.973² =
  32. 32.863² =
  33. 33.2206² =
  34. 34.844² =
  35. 35.677² =
  36. 36.161² =
  37. 37.898² =
  38. 38.867² =
  39. 39.277² =
  40. 40.7588² =

Answer key

  1. 108900
  2. 2927521
  3. 558009
  4. 541696
  5. 452929
  6. 3459600
  7. 22657600
  8. 69696
  9. 55696
  10. 558009
  11. 190096
  12. 386884
  13. 491401
  14. 693889
  15. 294849
  16. 21025
  17. 672400
  18. 505521
  19. 92852496
  20. 88804
  21. 73441
  22. 625681
  23. 51076
  24. 188356
  25. 291600
  26. 106929
  27. 26244
  28. 18404100
  29. 53509225
  30. 518400
  31. 946729
  32. 744769
  33. 4866436
  34. 712336
  35. 458329
  36. 25921
  37. 806404
  38. 751689
  39. 76729
  40. 57577744

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