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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 437 · 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. 1.975² =
  2. 2.5400² =
  3. 3.369² =
  4. 4.443² =
  5. 5.197² =
  6. 6.434² =
  7. 7.674² =
  8. 8.1149² =
  9. 9.955² =
  10. 10.177² =
  11. 11.419² =
  12. 12.137² =
  13. 13.493² =
  14. 14.3341² =
  15. 15.275² =
  16. 16.558² =
  17. 17.8849² =
  18. 18.707² =
  19. 19.650² =
  20. 20.322² =
  21. 21.8982² =
  22. 22.726² =
  23. 23.196² =
  24. 24.171² =
  25. 25.518² =
  26. 26.531² =
  27. 27.7672² =
  28. 28.707² =
  29. 29.642² =
  30. 30.371² =
  31. 31.560² =
  32. 32.392² =
  33. 33.780² =
  34. 34.107² =
  35. 35.385² =
  36. 36.9107² =
  37. 37.3761² =
  38. 38.319² =
  39. 39.149² =
  40. 40.2189² =

Answer key

  1. 950625
  2. 29160000
  3. 136161
  4. 196249
  5. 38809
  6. 188356
  7. 454276
  8. 1320201
  9. 912025
  10. 31329
  11. 175561
  12. 18769
  13. 243049
  14. 11162281
  15. 75625
  16. 311364
  17. 78304801
  18. 499849
  19. 422500
  20. 103684
  21. 80676324
  22. 527076
  23. 38416
  24. 29241
  25. 268324
  26. 281961
  27. 58859584
  28. 499849
  29. 412164
  30. 137641
  31. 313600
  32. 153664
  33. 608400
  34. 11449
  35. 148225
  36. 82937449
  37. 14145121
  38. 101761
  39. 22201
  40. 4791721

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