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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 947 · 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. 1.950² =
  2. 2.901² =
  3. 3.675² =
  4. 4.426² =
  5. 5.8364² =
  6. 6.473² =
  7. 7.211² =
  8. 8.147² =
  9. 9.8026² =
  10. 10.169² =
  11. 11.827² =
  12. 12.822² =
  13. 13.1443² =
  14. 14.493² =
  15. 15.196² =
  16. 16.5744² =
  17. 17.9830² =
  18. 18.383² =
  19. 19.381² =
  20. 20.366² =
  21. 21.562² =
  22. 22.667² =
  23. 23.3143² =
  24. 24.118² =
  25. 25.911² =
  26. 26.944² =
  27. 27.768² =
  28. 28.204² =
  29. 29.279² =
  30. 30.1436² =
  31. 31.122² =
  32. 32.696² =
  33. 33.249² =
  34. 34.5179² =
  35. 35.273² =
  36. 36.596² =
  37. 37.759² =
  38. 38.2488² =
  39. 39.593² =
  40. 40.708² =

Answer key

  1. 902500
  2. 811801
  3. 455625
  4. 181476
  5. 69956496
  6. 223729
  7. 44521
  8. 21609
  9. 64416676
  10. 28561
  11. 683929
  12. 675684
  13. 2082249
  14. 243049
  15. 38416
  16. 32993536
  17. 96628900
  18. 146689
  19. 145161
  20. 133956
  21. 315844
  22. 444889
  23. 9878449
  24. 13924
  25. 829921
  26. 891136
  27. 589824
  28. 41616
  29. 77841
  30. 2062096
  31. 14884
  32. 484416
  33. 62001
  34. 26822041
  35. 74529
  36. 355216
  37. 576081
  38. 6190144
  39. 351649
  40. 501264

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