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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 558 · 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. 1.2381² =
  2. 2.7677² =
  3. 3.233² =
  4. 4.522² =
  5. 5.3871² =
  6. 6.218² =
  7. 7.155² =
  8. 8.332² =
  9. 9.378² =
  10. 10.880² =
  11. 11.245² =
  12. 12.198² =
  13. 13.5824² =
  14. 14.168² =
  15. 15.940² =
  16. 16.1190² =
  17. 17.2417² =
  18. 18.850² =
  19. 19.549² =
  20. 20.152² =
  21. 21.108² =
  22. 22.904² =
  23. 23.126² =
  24. 24.935² =
  25. 25.8671² =
  26. 26.529² =
  27. 27.900² =
  28. 28.7227² =
  29. 29.878² =
  30. 30.756² =
  31. 31.811² =
  32. 32.770² =
  33. 33.1804² =
  34. 34.493² =
  35. 35.125² =
  36. 36.204² =
  37. 37.754² =
  38. 38.8929² =
  39. 39.867² =
  40. 40.713² =

Answer key

  1. 5669161
  2. 58936329
  3. 54289
  4. 272484
  5. 14984641
  6. 47524
  7. 24025
  8. 110224
  9. 142884
  10. 774400
  11. 60025
  12. 39204
  13. 33918976
  14. 28224
  15. 883600
  16. 1416100
  17. 5841889
  18. 722500
  19. 301401
  20. 23104
  21. 11664
  22. 817216
  23. 15876
  24. 874225
  25. 75186241
  26. 279841
  27. 810000
  28. 52229529
  29. 770884
  30. 571536
  31. 657721
  32. 592900
  33. 3254416
  34. 243049
  35. 15625
  36. 41616
  37. 568516
  38. 79727041
  39. 751689
  40. 508369

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