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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 783 · 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. 1.723² =
  2. 2.940² =
  3. 3.548² =
  4. 4.200² =
  5. 5.2939² =
  6. 6.636² =
  7. 7.952² =
  8. 8.608² =
  9. 9.246² =
  10. 10.6761² =
  11. 11.968² =
  12. 12.987² =
  13. 13.773² =
  14. 14.124² =
  15. 15.1209² =
  16. 16.608² =
  17. 17.144² =
  18. 18.950² =
  19. 19.146² =
  20. 20.425² =
  21. 21.9340² =
  22. 22.267² =
  23. 23.496² =
  24. 24.785² =
  25. 25.182² =
  26. 26.328² =
  27. 27.4885² =
  28. 28.613² =
  29. 29.2764² =
  30. 30.2012² =
  31. 31.438² =
  32. 32.826² =
  33. 33.255² =
  34. 34.155² =
  35. 35.756² =
  36. 36.342² =
  37. 37.298² =
  38. 38.3581² =
  39. 39.744² =
  40. 40.1966² =

Answer key

  1. 522729
  2. 883600
  3. 300304
  4. 40000
  5. 8637721
  6. 404496
  7. 906304
  8. 369664
  9. 60516
  10. 45711121
  11. 937024
  12. 974169
  13. 597529
  14. 15376
  15. 1461681
  16. 369664
  17. 20736
  18. 902500
  19. 21316
  20. 180625
  21. 87235600
  22. 71289
  23. 246016
  24. 616225
  25. 33124
  26. 107584
  27. 23863225
  28. 375769
  29. 7639696
  30. 4048144
  31. 191844
  32. 682276
  33. 65025
  34. 24025
  35. 571536
  36. 116964
  37. 88804
  38. 12823561
  39. 553536
  40. 3865156

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