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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 451 · 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. 1.988² =
  2. 2.734² =
  3. 3.604² =
  4. 4.4676² =
  5. 5.400² =
  6. 6.421² =
  7. 7.8645² =
  8. 8.2402² =
  9. 9.144² =
  10. 10.3356² =
  11. 11.496² =
  12. 12.8447² =
  13. 13.638² =
  14. 14.934² =
  15. 15.716² =
  16. 16.569² =
  17. 17.177² =
  18. 18.735² =
  19. 19.489² =
  20. 20.5445² =
  21. 21.9740² =
  22. 22.154² =
  23. 23.221² =
  24. 24.694² =
  25. 25.892² =
  26. 26.747² =
  27. 27.5404² =
  28. 28.2391² =
  29. 29.211² =
  30. 30.798² =
  31. 31.133² =
  32. 32.2755² =
  33. 33.4016² =
  34. 34.508² =
  35. 35.294² =
  36. 36.150² =
  37. 37.940² =
  38. 38.724² =
  39. 39.245² =
  40. 40.492² =

Answer key

  1. 976144
  2. 538756
  3. 364816
  4. 21864976
  5. 160000
  6. 177241
  7. 74736025
  8. 5769604
  9. 20736
  10. 11262736
  11. 246016
  12. 71351809
  13. 407044
  14. 872356
  15. 512656
  16. 323761
  17. 31329
  18. 540225
  19. 239121
  20. 29648025
  21. 94867600
  22. 23716
  23. 48841
  24. 481636
  25. 795664
  26. 558009
  27. 29203216
  28. 5716881
  29. 44521
  30. 636804
  31. 17689
  32. 7590025
  33. 16128256
  34. 258064
  35. 86436
  36. 22500
  37. 883600
  38. 524176
  39. 60025
  40. 242064

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