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Squares of 3 Digit Numbers Worksheet

Vedic maths trick 26: Squares of 3- and 4-digit numbers · Set 214 · 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. 1.228² =
  2. 2.1979² =
  3. 3.253² =
  4. 4.320² =
  5. 5.421² =
  6. 6.2804² =
  7. 7.990² =
  8. 8.374² =
  9. 9.934² =
  10. 10.2309² =
  11. 11.3025² =
  12. 12.774² =
  13. 13.260² =
  14. 14.404² =
  15. 15.620² =
  16. 16.735² =
  17. 17.452² =
  18. 18.453² =
  19. 19.6922² =
  20. 20.567² =
  21. 21.7657² =
  22. 22.6885² =
  23. 23.385² =
  24. 24.2876² =
  25. 25.932² =
  26. 26.4060² =
  27. 27.604² =
  28. 28.137² =
  29. 29.9347² =
  30. 30.521² =
  31. 31.883² =
  32. 32.810² =
  33. 33.1487² =
  34. 34.5821² =
  35. 35.2356² =
  36. 36.659² =
  37. 37.335² =
  38. 38.169² =
  39. 39.741² =
  40. 40.178² =

Answer key

  1. 51984
  2. 3916441
  3. 64009
  4. 102400
  5. 177241
  6. 7862416
  7. 980100
  8. 139876
  9. 872356
  10. 5331481
  11. 9150625
  12. 599076
  13. 67600
  14. 163216
  15. 384400
  16. 540225
  17. 204304
  18. 205209
  19. 47914084
  20. 321489
  21. 58629649
  22. 47403225
  23. 148225
  24. 8271376
  25. 868624
  26. 16483600
  27. 364816
  28. 18769
  29. 87366409
  30. 271441
  31. 779689
  32. 656100
  33. 2211169
  34. 33884041
  35. 5550736
  36. 434281
  37. 112225
  38. 28561
  39. 549081
  40. 31684

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