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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 655 · 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. 1.6301² =
  2. 2.515² =
  3. 3.1074² =
  4. 4.1464² =
  5. 5.830² =
  6. 6.368² =
  7. 7.262² =
  8. 8.470² =
  9. 9.838² =
  10. 10.906² =
  11. 11.759² =
  12. 12.780² =
  13. 13.310² =
  14. 14.803² =
  15. 15.8002² =
  16. 16.652² =
  17. 17.184² =
  18. 18.937² =
  19. 19.784² =
  20. 20.439² =
  21. 21.1361² =
  22. 22.836² =
  23. 23.786² =
  24. 24.155² =
  25. 25.4216² =
  26. 26.864² =
  27. 27.651² =
  28. 28.284² =
  29. 29.6227² =
  30. 30.2790² =
  31. 31.5576² =
  32. 32.1453² =
  33. 33.1021² =
  34. 34.246² =
  35. 35.166² =
  36. 36.332² =
  37. 37.879² =
  38. 38.852² =
  39. 39.607² =
  40. 40.159² =

Answer key

  1. 39702601
  2. 265225
  3. 1153476
  4. 2143296
  5. 688900
  6. 135424
  7. 68644
  8. 220900
  9. 702244
  10. 820836
  11. 576081
  12. 608400
  13. 96100
  14. 644809
  15. 64032004
  16. 425104
  17. 33856
  18. 877969
  19. 614656
  20. 192721
  21. 1852321
  22. 698896
  23. 617796
  24. 24025
  25. 17774656
  26. 746496
  27. 423801
  28. 80656
  29. 38775529
  30. 7784100
  31. 31091776
  32. 2111209
  33. 1042441
  34. 60516
  35. 27556
  36. 110224
  37. 772641
  38. 725904
  39. 368449
  40. 25281

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