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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 195 · 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. 1.264² =
  2. 2.797² =
  3. 3.9820² =
  4. 4.590² =
  5. 5.359² =
  6. 6.1045² =
  7. 7.899² =
  8. 8.403² =
  9. 9.514² =
  10. 10.114² =
  11. 11.489² =
  12. 12.338² =
  13. 13.665² =
  14. 14.2554² =
  15. 15.941² =
  16. 16.934² =
  17. 17.199² =
  18. 18.794² =
  19. 19.4270² =
  20. 20.386² =
  21. 21.640² =
  22. 22.537² =
  23. 23.456² =
  24. 24.528² =
  25. 25.740² =
  26. 26.400² =
  27. 27.520² =
  28. 28.722² =
  29. 29.5000² =
  30. 30.642² =
  31. 31.968² =
  32. 32.161² =
  33. 33.873² =
  34. 34.774² =
  35. 35.996² =
  36. 36.121² =
  37. 37.330² =
  38. 38.936² =
  39. 39.317² =
  40. 40.475² =

Answer key

  1. 69696
  2. 635209
  3. 96432400
  4. 348100
  5. 128881
  6. 1092025
  7. 808201
  8. 162409
  9. 264196
  10. 12996
  11. 239121
  12. 114244
  13. 442225
  14. 6522916
  15. 885481
  16. 872356
  17. 39601
  18. 630436
  19. 18232900
  20. 148996
  21. 409600
  22. 288369
  23. 207936
  24. 278784
  25. 547600
  26. 160000
  27. 270400
  28. 521284
  29. 25000000
  30. 412164
  31. 937024
  32. 25921
  33. 762129
  34. 599076
  35. 992016
  36. 14641
  37. 108900
  38. 876096
  39. 100489
  40. 225625

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