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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 505 · 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. 1.1111 × 1111 =
  2. 2.12345 × 8 + 5 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 81 =
  5. 5.37 × 24 =
  6. 6.37 × 15 =
  7. 7.11 × 11 =
  8. 8.11111 × 11111 =
  9. 9.12345678 × 8 + 8 =
  10. 10.37 × 27 =
  11. 11.12345679 × 54 =
  12. 12.1234 × 8 + 4 =
  13. 13.1234567 × 8 + 7 =
  14. 14.123 × 8 + 3 =
  15. 15.123 × 9 + 4 =
  16. 16.12345 × 9 + 6 =
  17. 17.12345679 × 36 =
  18. 18.12 × 9 + 3 =
  19. 19.123456 × 9 + 7 =
  20. 20.1234 × 9 + 5 =
  21. 21.111 × 111 =
  22. 22.1234567 × 9 + 8 =
  23. 23.37 × 21 =
  24. 24.37 × 9 =
  25. 25.123456 × 8 + 6 =
  26. 26.12345679 × 45 =
  27. 27.123456789 × 8 + 9 =
  28. 28.12345679 × 72 =
  29. 29.12345679 × 27 =
  30. 30.37 × 18 =
  31. 31.12 × 8 + 2 =
  32. 32.37 × 3 =
  33. 33.37 × 12 =
  34. 34.37 × 6 =
  35. 35.12345678 × 9 + 9 =
  36. 36.12345679 × 9 =
  37. 37.123456 × 9 + 7 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345679 × 63 =
  40. 40.12345679 × 18 =

Answer key

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

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