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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 438 · 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. 2.1234567 × 9 + 8 =
  3. 3.12345679 × 9 =
  4. 4.37 × 21 =
  5. 5.12 × 9 + 3 =
  6. 6.12345 × 9 + 6 =
  7. 7.111 × 111 =
  8. 8.37 × 15 =
  9. 9.37 × 9 =
  10. 10.37 × 27 =
  11. 11.111111 × 111111 =
  12. 12.12345678 × 9 + 9 =
  13. 13.1111 × 1111 =
  14. 14.123456 × 9 + 7 =
  15. 15.12345679 × 45 =
  16. 16.123 × 8 + 3 =
  17. 17.12345 × 8 + 5 =
  18. 18.37 × 6 =
  19. 19.12345678 × 8 + 8 =
  20. 20.12345679 × 72 =
  21. 21.37 × 18 =
  22. 22.11 × 11 =
  23. 23.1234 × 9 + 5 =
  24. 24.37 × 12 =
  25. 25.1234567 × 8 + 7 =
  26. 26.123456 × 8 + 6 =
  27. 27.12345679 × 36 =
  28. 28.123456789 × 8 + 9 =
  29. 29.37 × 24 =
  30. 30.123 × 9 + 4 =
  31. 31.37 × 3 =
  32. 32.12345679 × 54 =
  33. 33.12345679 × 63 =
  34. 34.12345679 × 81 =
  35. 35.1234 × 8 + 4 =
  36. 36.11111 × 11111 =
  37. 37.12345678 × 9 + 9 =
  38. 38.12345679 × 36 =
  39. 39.11111 × 11111 =
  40. 40.11111 × 11111 =

Answer key

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

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