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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 157 · 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. 1.6763² =
  2. 2.6607² =
  3. 3.513² =
  4. 4.1298² =
  5. 5.273² =
  6. 6.567² =
  7. 7.366² =
  8. 8.395² =
  9. 9.215² =
  10. 10.850² =
  11. 11.657² =
  12. 12.978² =
  13. 13.851² =
  14. 14.306² =
  15. 15.6999² =
  16. 16.530² =
  17. 17.846² =
  18. 18.155² =
  19. 19.468² =
  20. 20.8428² =
  21. 21.662² =
  22. 22.386² =
  23. 23.250² =
  24. 24.9801² =
  25. 25.1265² =
  26. 26.348² =
  27. 27.450² =
  28. 28.1265² =
  29. 29.372² =
  30. 30.130² =
  31. 31.337² =
  32. 32.262² =
  33. 33.980² =
  34. 34.868² =
  35. 35.283² =
  36. 36.8847² =
  37. 37.8537² =
  38. 38.162² =
  39. 39.473² =
  40. 40.6404² =

Answer key

  1. 45738169
  2. 43652449
  3. 263169
  4. 1684804
  5. 74529
  6. 321489
  7. 133956
  8. 156025
  9. 46225
  10. 722500
  11. 431649
  12. 956484
  13. 724201
  14. 93636
  15. 48986001
  16. 280900
  17. 715716
  18. 24025
  19. 219024
  20. 71031184
  21. 438244
  22. 148996
  23. 62500
  24. 96059601
  25. 1600225
  26. 121104
  27. 202500
  28. 1600225
  29. 138384
  30. 16900
  31. 113569
  32. 68644
  33. 960400
  34. 753424
  35. 80089
  36. 78269409
  37. 72880369
  38. 26244
  39. 223729
  40. 41011216

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