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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 571 · 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 × 9 =
  2. 2.12345 × 8 + 5 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345678 × 8 + 8 =
  5. 5.111111 × 111111 =
  6. 6.12345679 × 18 =
  7. 7.12345679 × 81 =
  8. 8.12345679 × 45 =
  9. 9.123456789 × 8 + 9 =
  10. 10.1234567 × 9 + 8 =
  11. 11.12345679 × 63 =
  12. 12.12345679 × 27 =
  13. 13.12345679 × 36 =
  14. 14.37 × 21 =
  15. 15.12345 × 9 + 6 =
  16. 16.37 × 3 =
  17. 17.11 × 11 =
  18. 18.37 × 27 =
  19. 19.12 × 9 + 3 =
  20. 20.37 × 24 =
  21. 21.123456 × 8 + 6 =
  22. 22.12345678 × 9 + 9 =
  23. 23.1234 × 8 + 4 =
  24. 24.111 × 111 =
  25. 25.12 × 8 + 2 =
  26. 26.37 × 12 =
  27. 27.123 × 8 + 3 =
  28. 28.1111 × 1111 =
  29. 29.1234567 × 8 + 7 =
  30. 30.37 × 18 =
  31. 31.37 × 15 =
  32. 32.12345679 × 72 =
  33. 33.12345679 × 27 =
  34. 34.123 × 9 + 4 =
  35. 35.123456 × 9 + 7 =
  36. 36.12345679 × 72 =
  37. 37.37 × 6 =
  38. 38.12345679 × 54 =
  39. 39.37 × 9 =
  40. 40.123 × 9 + 4 =

Answer key

  1. 111111111
  2. 98765
  3. 11111
  4. 98765432
  5. 12345654321
  6. 222222222
  7. 999999999
  8. 555555555
  9. 987654321
  10. 11111111
  11. 777777777
  12. 333333333
  13. 444444444
  14. 777
  15. 111111
  16. 111
  17. 121
  18. 999
  19. 111
  20. 888
  21. 987654
  22. 111111111
  23. 9876
  24. 12321
  25. 98
  26. 444
  27. 987
  28. 1234321
  29. 9876543
  30. 666
  31. 555
  32. 888888888
  33. 333333333
  34. 1111
  35. 1111111
  36. 888888888
  37. 222
  38. 666666666
  39. 333
  40. 1111

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