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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 199 · 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 × 27 =
  2. 2.12345679 × 81 =
  3. 3.1234567 × 9 + 8 =
  4. 4.1234 × 8 + 4 =
  5. 5.12345679 × 72 =
  6. 6.37 × 12 =
  7. 7.37 × 9 =
  8. 8.12345679 × 36 =
  9. 9.12345679 × 18 =
  10. 10.11 × 11 =
  11. 11.12345679 × 9 =
  12. 12.37 × 27 =
  13. 13.123 × 8 + 3 =
  14. 14.1234 × 9 + 5 =
  15. 15.111111 × 111111 =
  16. 16.123456 × 8 + 6 =
  17. 17.37 × 15 =
  18. 18.12 × 9 + 3 =
  19. 19.12345678 × 9 + 9 =
  20. 20.11111 × 11111 =
  21. 21.123456 × 9 + 7 =
  22. 22.12 × 8 + 2 =
  23. 23.123 × 9 + 4 =
  24. 24.1234567 × 8 + 7 =
  25. 25.37 × 18 =
  26. 26.12345 × 9 + 6 =
  27. 27.12345679 × 45 =
  28. 28.37 × 6 =
  29. 29.1111 × 1111 =
  30. 30.37 × 24 =
  31. 31.37 × 21 =
  32. 32.12345679 × 54 =
  33. 33.123456789 × 8 + 9 =
  34. 34.37 × 3 =
  35. 35.12345679 × 63 =
  36. 36.111111 × 111111 =
  37. 37.37 × 3 =
  38. 38.11 × 11 =
  39. 39.111 × 111 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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