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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 285 · 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. 1.111 × 111 =
  2. 2.11111 × 11111 =
  3. 3.123456789 × 8 + 9 =
  4. 4.37 × 6 =
  5. 5.12 × 9 + 3 =
  6. 6.111111 × 111111 =
  7. 7.37 × 12 =
  8. 8.12 × 8 + 2 =
  9. 9.12345679 × 27 =
  10. 10.12345679 × 81 =
  11. 11.11 × 11 =
  12. 12.12345679 × 9 =
  13. 13.37 × 3 =
  14. 14.12345679 × 72 =
  15. 15.1234567 × 8 + 7 =
  16. 16.1234567 × 9 + 8 =
  17. 17.123456 × 8 + 6 =
  18. 18.37 × 9 =
  19. 19.12345679 × 36 =
  20. 20.12345679 × 54 =
  21. 21.37 × 15 =
  22. 22.37 × 21 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 18 =
  25. 25.1111 × 1111 =
  26. 26.1234 × 8 + 4 =
  27. 27.37 × 24 =
  28. 28.37 × 18 =
  29. 29.12345678 × 9 + 9 =
  30. 30.1234 × 9 + 5 =
  31. 31.12345679 × 63 =
  32. 32.11 × 11 =
  33. 33.11 × 11 =
  34. 34.123 × 9 + 4 =
  35. 35.12345 × 9 + 6 =
  36. 36.37 × 27 =
  37. 37.111111 × 111111 =
  38. 38.123 × 8 + 3 =
  39. 39.1234 × 8 + 4 =
  40. 40.12345679 × 45 =

Answer key

  1. 12321
  2. 123454321
  3. 987654321
  4. 222
  5. 111
  6. 12345654321
  7. 444
  8. 98
  9. 333333333
  10. 999999999
  11. 121
  12. 111111111
  13. 111
  14. 888888888
  15. 9876543
  16. 11111111
  17. 987654
  18. 333
  19. 444444444
  20. 666666666
  21. 555
  22. 777
  23. 1111111
  24. 222222222
  25. 1234321
  26. 9876
  27. 888
  28. 666
  29. 111111111
  30. 11111
  31. 777777777
  32. 121
  33. 121
  34. 1111
  35. 111111
  36. 999
  37. 12345654321
  38. 987
  39. 9876
  40. 555555555

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