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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 23 · 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. 1.11 × 11 =
  2. 2.37 × 27 =
  3. 3.12345 × 8 + 5 =
  4. 4.37 × 3 =
  5. 5.37 × 12 =
  6. 6.12345679 × 27 =
  7. 7.12345678 × 8 + 8 =
  8. 8.12345679 × 18 =
  9. 9.1234 × 9 + 5 =
  10. 10.12345679 × 54 =
  11. 11.11111 × 11111 =
  12. 12.111111 × 111111 =
  13. 13.123456789 × 8 + 9 =
  14. 14.37 × 24 =
  15. 15.37 × 6 =
  16. 16.111 × 111 =
  17. 17.123 × 8 + 3 =
  18. 18.12345679 × 9 =
  19. 19.12345 × 9 + 6 =
  20. 20.12345679 × 63 =
  21. 21.12 × 8 + 2 =
  22. 22.37 × 18 =
  23. 23.123456 × 9 + 7 =
  24. 24.1234567 × 9 + 8 =
  25. 25.12345679 × 72 =
  26. 26.1111 × 1111 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 15 =
  29. 29.12 × 9 + 3 =
  30. 30.12345679 × 9 =
  31. 31.12345679 × 36 =
  32. 32.1234 × 8 + 4 =
  33. 33.12345679 × 81 =
  34. 34.12345679 × 45 =
  35. 35.12345679 × 9 =
  36. 36.123456 × 8 + 6 =
  37. 37.37 × 12 =
  38. 38.1234567 × 8 + 7 =
  39. 39.111111 × 111111 =
  40. 40.111 × 111 =

Answer key

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

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