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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 198 · 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. 1.111111 × 111111 =
  2. 2.12345679 × 18 =
  3. 3.12345679 × 9 =
  4. 4.12345679 × 54 =
  5. 5.12345679 × 27 =
  6. 6.11 × 11 =
  7. 7.37 × 21 =
  8. 8.123456 × 8 + 6 =
  9. 9.1234567 × 8 + 7 =
  10. 10.1234 × 8 + 4 =
  11. 11.12 × 9 + 3 =
  12. 12.11111 × 11111 =
  13. 13.12345678 × 9 + 9 =
  14. 14.123 × 8 + 3 =
  15. 15.12345679 × 72 =
  16. 16.37 × 9 =
  17. 17.37 × 18 =
  18. 18.123456 × 9 + 7 =
  19. 19.12345679 × 36 =
  20. 20.37 × 15 =
  21. 21.37 × 6 =
  22. 22.37 × 12 =
  23. 23.12345679 × 81 =
  24. 24.12345679 × 45 =
  25. 25.111 × 111 =
  26. 26.1234 × 9 + 5 =
  27. 27.37 × 27 =
  28. 28.12 × 8 + 2 =
  29. 29.1111 × 1111 =
  30. 30.123 × 9 + 4 =
  31. 31.12345679 × 63 =
  32. 32.37 × 3 =
  33. 33.37 × 24 =
  34. 34.12345 × 9 + 6 =
  35. 35.1234 × 9 + 5 =
  36. 36.12345 × 8 + 5 =
  37. 37.12 × 9 + 3 =
  38. 38.12345679 × 54 =
  39. 39.1234567 × 9 + 8 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 12345654321
  2. 222222222
  3. 111111111
  4. 666666666
  5. 333333333
  6. 121
  7. 777
  8. 987654
  9. 9876543
  10. 9876
  11. 111
  12. 123454321
  13. 111111111
  14. 987
  15. 888888888
  16. 333
  17. 666
  18. 1111111
  19. 444444444
  20. 555
  21. 222
  22. 444
  23. 999999999
  24. 555555555
  25. 12321
  26. 11111
  27. 999
  28. 98
  29. 1234321
  30. 1111
  31. 777777777
  32. 111
  33. 888
  34. 111111
  35. 11111
  36. 98765
  37. 111
  38. 666666666
  39. 11111111
  40. 11111

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