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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 448 · 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. 1.37 × 27 =
  2. 2.1234 × 9 + 5 =
  3. 3.12345 × 9 + 6 =
  4. 4.1111 × 1111 =
  5. 5.123456789 × 8 + 9 =
  6. 6.12 × 9 + 3 =
  7. 7.1234 × 8 + 4 =
  8. 8.12345678 × 8 + 8 =
  9. 9.12345679 × 36 =
  10. 10.12345679 × 9 =
  11. 11.37 × 6 =
  12. 12.12345678 × 9 + 9 =
  13. 13.12 × 8 + 2 =
  14. 14.37 × 12 =
  15. 15.12345679 × 81 =
  16. 16.123 × 8 + 3 =
  17. 17.37 × 15 =
  18. 18.37 × 9 =
  19. 19.37 × 21 =
  20. 20.12345 × 8 + 5 =
  21. 21.1234567 × 9 + 8 =
  22. 22.12345679 × 45 =
  23. 23.11111 × 11111 =
  24. 24.123 × 9 + 4 =
  25. 25.111 × 111 =
  26. 26.111111 × 111111 =
  27. 27.123456 × 9 + 7 =
  28. 28.37 × 24 =
  29. 29.37 × 3 =
  30. 30.12345679 × 72 =
  31. 31.1234567 × 8 + 7 =
  32. 32.12345679 × 54 =
  33. 33.12345679 × 18 =
  34. 34.12345679 × 27 =
  35. 35.37 × 18 =
  36. 36.123 × 9 + 4 =
  37. 37.12345679 × 63 =
  38. 38.11 × 11 =
  39. 39.12345679 × 81 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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