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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 667 · 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. 2.111 × 111 =
  3. 3.11 × 11 =
  4. 4.123456789 × 8 + 9 =
  5. 5.37 × 27 =
  6. 6.12345679 × 45 =
  7. 7.12 × 9 + 3 =
  8. 8.37 × 15 =
  9. 9.12 × 8 + 2 =
  10. 10.1234 × 9 + 5 =
  11. 11.1234567 × 9 + 8 =
  12. 12.12345678 × 8 + 8 =
  13. 13.12345 × 8 + 5 =
  14. 14.1234 × 8 + 4 =
  15. 15.12345679 × 81 =
  16. 16.123456 × 8 + 6 =
  17. 17.12345679 × 72 =
  18. 18.1234567 × 8 + 7 =
  19. 19.123 × 9 + 4 =
  20. 20.12345 × 9 + 6 =
  21. 21.37 × 24 =
  22. 22.12345678 × 9 + 9 =
  23. 23.123 × 8 + 3 =
  24. 24.37 × 3 =
  25. 25.111111 × 111111 =
  26. 26.37 × 9 =
  27. 27.12345679 × 18 =
  28. 28.12345679 × 63 =
  29. 29.12345679 × 36 =
  30. 30.37 × 21 =
  31. 31.12345679 × 27 =
  32. 32.37 × 6 =
  33. 33.37 × 18 =
  34. 34.37 × 12 =
  35. 35.11111 × 11111 =
  36. 36.123 × 9 + 4 =
  37. 37.123456 × 9 + 7 =
  38. 38.1111 × 1111 =
  39. 39.12345679 × 63 =
  40. 40.12345679 × 54 =

Answer key

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

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