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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 54 · 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. 1.1742² =
  2. 2.924² =
  3. 3.493² =
  4. 4.177² =
  5. 5.740² =
  6. 6.651² =
  7. 7.643² =
  8. 8.942² =
  9. 9.3153² =
  10. 10.889² =
  11. 11.130² =
  12. 12.900² =
  13. 13.772² =
  14. 14.744² =
  15. 15.3493² =
  16. 16.837² =
  17. 17.561² =
  18. 18.506² =
  19. 19.7373² =
  20. 20.930² =
  21. 21.342² =
  22. 22.336² =
  23. 23.7585² =
  24. 24.879² =
  25. 25.287² =
  26. 26.2082² =
  27. 27.1676² =
  28. 28.177² =
  29. 29.639² =
  30. 30.470² =
  31. 31.487² =
  32. 32.990² =
  33. 33.9176² =
  34. 34.196² =
  35. 35.405² =
  36. 36.223² =
  37. 37.286² =
  38. 38.517² =
  39. 39.558² =
  40. 40.9902² =

Answer key

  1. 3034564
  2. 853776
  3. 243049
  4. 31329
  5. 547600
  6. 423801
  7. 413449
  8. 887364
  9. 9941409
  10. 790321
  11. 16900
  12. 810000
  13. 595984
  14. 553536
  15. 12201049
  16. 700569
  17. 314721
  18. 256036
  19. 54361129
  20. 864900
  21. 116964
  22. 112896
  23. 57532225
  24. 772641
  25. 82369
  26. 4334724
  27. 2808976
  28. 31329
  29. 408321
  30. 220900
  31. 237169
  32. 980100
  33. 84198976
  34. 38416
  35. 164025
  36. 49729
  37. 81796
  38. 267289
  39. 311364
  40. 98049604

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