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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 693 · 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. 1.707² =
  2. 2.1854² =
  3. 3.7125² =
  4. 4.432² =
  5. 5.8514² =
  6. 6.837² =
  7. 7.500² =
  8. 8.858² =
  9. 9.332² =
  10. 10.230² =
  11. 11.1366² =
  12. 12.886² =
  13. 13.9469² =
  14. 14.128² =
  15. 15.3644² =
  16. 16.1294² =
  17. 17.828² =
  18. 18.930² =
  19. 19.587² =
  20. 20.332² =
  21. 21.263² =
  22. 22.857² =
  23. 23.137² =
  24. 24.237² =
  25. 25.1813² =
  26. 26.686² =
  27. 27.452² =
  28. 28.301² =
  29. 29.552² =
  30. 30.8081² =
  31. 31.893² =
  32. 32.610² =
  33. 33.751² =
  34. 34.857² =
  35. 35.708² =
  36. 36.5748² =
  37. 37.4758² =
  38. 38.873² =
  39. 39.178² =
  40. 40.437² =

Answer key

  1. 499849
  2. 3437316
  3. 50765625
  4. 186624
  5. 72488196
  6. 700569
  7. 250000
  8. 736164
  9. 110224
  10. 52900
  11. 1865956
  12. 784996
  13. 89661961
  14. 16384
  15. 13278736
  16. 1674436
  17. 685584
  18. 864900
  19. 344569
  20. 110224
  21. 69169
  22. 734449
  23. 18769
  24. 56169
  25. 3286969
  26. 470596
  27. 204304
  28. 90601
  29. 304704
  30. 65302561
  31. 797449
  32. 372100
  33. 564001
  34. 734449
  35. 501264
  36. 33039504
  37. 22638564
  38. 762129
  39. 31684
  40. 190969

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