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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 508 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.12345679 × 27 =
  2. 2.111 × 111 =
  3. 3.1234 × 8 + 4 =
  4. 4.12345679 × 18 =
  5. 5.37 × 3 =
  6. 6.12345679 × 36 =
  7. 7.123456 × 8 + 6 =
  8. 8.12 × 9 + 3 =
  9. 9.123 × 9 + 4 =
  10. 10.12345 × 8 + 5 =
  11. 11.37 × 9 =
  12. 12.123 × 8 + 3 =
  13. 13.12345679 × 72 =
  14. 14.1111 × 1111 =
  15. 15.12345679 × 63 =
  16. 16.1234 × 9 + 5 =
  17. 17.123456789 × 8 + 9 =
  18. 18.37 × 18 =
  19. 19.12345679 × 9 =
  20. 20.11 × 11 =
  21. 21.111111 × 111111 =
  22. 22.37 × 15 =
  23. 23.37 × 24 =
  24. 24.12345 × 9 + 6 =
  25. 25.12 × 8 + 2 =
  26. 26.11111 × 11111 =
  27. 27.1234567 × 9 + 8 =
  28. 28.12345679 × 81 =
  29. 29.12345679 × 45 =
  30. 30.37 × 27 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123456 × 9 + 7 =
  33. 33.12345679 × 36 =
  34. 34.37 × 6 =
  35. 35.12345679 × 27 =
  36. 36.12 × 9 + 3 =
  37. 37.1234567 × 8 + 7 =
  38. 38.123456 × 9 + 7 =
  39. 39.12345679 × 54 =
  40. 40.123456 × 9 + 7 =

Answer key

  1. 333333333
  2. 12321
  3. 9876
  4. 222222222
  5. 111
  6. 444444444
  7. 987654
  8. 111
  9. 1111
  10. 98765
  11. 333
  12. 987
  13. 888888888
  14. 1234321
  15. 777777777
  16. 11111
  17. 987654321
  18. 666
  19. 111111111
  20. 121
  21. 12345654321
  22. 555
  23. 888
  24. 111111
  25. 98
  26. 123454321
  27. 11111111
  28. 999999999
  29. 555555555
  30. 999
  31. 111111111
  32. 1111111
  33. 444444444
  34. 222
  35. 333333333
  36. 111
  37. 9876543
  38. 1111111
  39. 666666666
  40. 1111111

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