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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 185 · 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 × 45 =
  2. 2.12345679 × 54 =
  3. 3.11 × 11 =
  4. 4.111111 × 111111 =
  5. 5.37 × 12 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345 × 9 + 6 =
  8. 8.12 × 8 + 2 =
  9. 9.123 × 8 + 3 =
  10. 10.12345679 × 72 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345679 × 18 =
  13. 13.12345678 × 9 + 9 =
  14. 14.12345679 × 36 =
  15. 15.123456 × 8 + 6 =
  16. 16.123 × 9 + 4 =
  17. 17.12345679 × 81 =
  18. 18.37 × 24 =
  19. 19.37 × 9 =
  20. 20.1111 × 1111 =
  21. 21.11111 × 11111 =
  22. 22.37 × 3 =
  23. 23.123456789 × 8 + 9 =
  24. 24.37 × 15 =
  25. 25.12 × 9 + 3 =
  26. 26.37 × 18 =
  27. 27.111 × 111 =
  28. 28.37 × 27 =
  29. 29.37 × 21 =
  30. 30.12345679 × 9 =
  31. 31.12345 × 8 + 5 =
  32. 32.37 × 6 =
  33. 33.1234 × 8 + 4 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456 × 9 + 7 =
  36. 36.1111 × 1111 =
  37. 37.12 × 9 + 3 =
  38. 38.12345679 × 27 =
  39. 39.12 × 8 + 2 =
  40. 40.12345679 × 63 =

Answer key

  1. 555555555
  2. 666666666
  3. 121
  4. 12345654321
  5. 444
  6. 11111
  7. 111111
  8. 98
  9. 987
  10. 888888888
  11. 11111111
  12. 222222222
  13. 111111111
  14. 444444444
  15. 987654
  16. 1111
  17. 999999999
  18. 888
  19. 333
  20. 1234321
  21. 123454321
  22. 111
  23. 987654321
  24. 555
  25. 111
  26. 666
  27. 12321
  28. 999
  29. 777
  30. 111111111
  31. 98765
  32. 222
  33. 9876
  34. 9876543
  35. 1111111
  36. 1234321
  37. 111
  38. 333333333
  39. 98
  40. 777777777

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