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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 42 · 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. 2.12 × 9 + 3 =
  3. 3.37 × 12 =
  4. 4.12345679 × 36 =
  5. 5.11111 × 11111 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12345679 × 18 =
  8. 8.12345679 × 72 =
  9. 9.37 × 6 =
  10. 10.1234 × 8 + 4 =
  11. 11.11 × 11 =
  12. 12.111 × 111 =
  13. 13.12345 × 9 + 6 =
  14. 14.12345679 × 27 =
  15. 15.37 × 24 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345679 × 45 =
  18. 18.12345679 × 81 =
  19. 19.12345678 × 8 + 8 =
  20. 20.37 × 21 =
  21. 21.123456 × 8 + 6 =
  22. 22.123 × 8 + 3 =
  23. 23.123456 × 9 + 7 =
  24. 24.12345679 × 63 =
  25. 25.12345678 × 9 + 9 =
  26. 26.1234 × 9 + 5 =
  27. 27.123456789 × 8 + 9 =
  28. 28.1234567 × 8 + 7 =
  29. 29.123 × 9 + 4 =
  30. 30.111111 × 111111 =
  31. 31.37 × 3 =
  32. 32.37 × 18 =
  33. 33.37 × 15 =
  34. 34.12 × 8 + 2 =
  35. 35.1111 × 1111 =
  36. 36.123 × 8 + 3 =
  37. 37.37 × 9 =
  38. 38.12345679 × 54 =
  39. 39.37 × 27 =
  40. 40.37 × 27 =

Answer key

  1. 111111111
  2. 111
  3. 444
  4. 444444444
  5. 123454321
  6. 11111111
  7. 222222222
  8. 888888888
  9. 222
  10. 9876
  11. 121
  12. 12321
  13. 111111
  14. 333333333
  15. 888
  16. 98765
  17. 555555555
  18. 999999999
  19. 98765432
  20. 777
  21. 987654
  22. 987
  23. 1111111
  24. 777777777
  25. 111111111
  26. 11111
  27. 987654321
  28. 9876543
  29. 1111
  30. 12345654321
  31. 111
  32. 666
  33. 555
  34. 98
  35. 1234321
  36. 987
  37. 333
  38. 666666666
  39. 999
  40. 999

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