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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 973 · 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. 1.729² =
  2. 2.2491² =
  3. 3.706² =
  4. 4.273² =
  5. 5.424² =
  6. 6.352² =
  7. 7.221² =
  8. 8.153² =
  9. 9.574² =
  10. 10.261² =
  11. 11.621² =
  12. 12.396² =
  13. 13.399² =
  14. 14.2191² =
  15. 15.310² =
  16. 16.659² =
  17. 17.4864² =
  18. 18.904² =
  19. 19.898² =
  20. 20.246² =
  21. 21.727² =
  22. 22.495² =
  23. 23.4104² =
  24. 24.471² =
  25. 25.805² =
  26. 26.6024² =
  27. 27.649² =
  28. 28.517² =
  29. 29.680² =
  30. 30.6405² =
  31. 31.372² =
  32. 32.104² =
  33. 33.510² =
  34. 34.546² =
  35. 35.947² =
  36. 36.297² =
  37. 37.655² =
  38. 38.5188² =
  39. 39.283² =
  40. 40.461² =

Answer key

  1. 531441
  2. 6205081
  3. 498436
  4. 74529
  5. 179776
  6. 123904
  7. 48841
  8. 23409
  9. 329476
  10. 68121
  11. 385641
  12. 156816
  13. 159201
  14. 4800481
  15. 96100
  16. 434281
  17. 23658496
  18. 817216
  19. 806404
  20. 60516
  21. 528529
  22. 245025
  23. 16842816
  24. 221841
  25. 648025
  26. 36288576
  27. 421201
  28. 267289
  29. 462400
  30. 41024025
  31. 138384
  32. 10816
  33. 260100
  34. 298116
  35. 896809
  36. 88209
  37. 429025
  38. 26915344
  39. 80089
  40. 212521

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