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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 510 · 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. 1.8568² =
  2. 2.809² =
  3. 3.216² =
  4. 4.2946² =
  5. 5.3460² =
  6. 6.708² =
  7. 7.879² =
  8. 8.326² =
  9. 9.352² =
  10. 10.6714² =
  11. 11.7839² =
  12. 12.542² =
  13. 13.342² =
  14. 14.687² =
  15. 15.652² =
  16. 16.832² =
  17. 17.5887² =
  18. 18.760² =
  19. 19.824² =
  20. 20.951² =
  21. 21.964² =
  22. 22.782² =
  23. 23.165² =
  24. 24.320² =
  25. 25.792² =
  26. 26.864² =
  27. 27.894² =
  28. 28.467² =
  29. 29.655² =
  30. 30.885² =
  31. 31.748² =
  32. 32.122² =
  33. 33.401² =
  34. 34.188² =
  35. 35.2283² =
  36. 36.615² =
  37. 37.999² =
  38. 38.937² =
  39. 39.996² =
  40. 40.6546² =

Answer key

  1. 73410624
  2. 654481
  3. 46656
  4. 8678916
  5. 11971600
  6. 501264
  7. 772641
  8. 106276
  9. 123904
  10. 45077796
  11. 61449921
  12. 293764
  13. 116964
  14. 471969
  15. 425104
  16. 692224
  17. 34656769
  18. 577600
  19. 678976
  20. 904401
  21. 929296
  22. 611524
  23. 27225
  24. 102400
  25. 627264
  26. 746496
  27. 799236
  28. 218089
  29. 429025
  30. 783225
  31. 559504
  32. 14884
  33. 160801
  34. 35344
  35. 5212089
  36. 378225
  37. 998001
  38. 877969
  39. 992016
  40. 42850116

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