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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 629 · 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. 1.12 × 9 + 3 =
  2. 2.1234 × 9 + 5 =
  3. 3.123 × 9 + 4 =
  4. 4.12345679 × 45 =
  5. 5.12345679 × 81 =
  6. 6.1234567 × 8 + 7 =
  7. 7.37 × 27 =
  8. 8.12345679 × 9 =
  9. 9.1234567 × 9 + 8 =
  10. 10.37 × 15 =
  11. 11.123 × 8 + 3 =
  12. 12.12345678 × 9 + 9 =
  13. 13.11 × 11 =
  14. 14.37 × 21 =
  15. 15.1234 × 8 + 4 =
  16. 16.37 × 3 =
  17. 17.123456 × 9 + 7 =
  18. 18.37 × 24 =
  19. 19.123456789 × 8 + 9 =
  20. 20.123456 × 8 + 6 =
  21. 21.111 × 111 =
  22. 22.12345679 × 63 =
  23. 23.12345 × 8 + 5 =
  24. 24.12345679 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.12 × 8 + 2 =
  27. 27.12345679 × 18 =
  28. 28.11111 × 11111 =
  29. 29.111111 × 111111 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 54 =
  32. 32.37 × 9 =
  33. 33.37 × 6 =
  34. 34.1111 × 1111 =
  35. 35.37 × 18 =
  36. 36.37 × 12 =
  37. 37.12345679 × 36 =
  38. 38.12345679 × 72 =
  39. 39.37 × 3 =
  40. 40.123456 × 9 + 7 =

Answer key

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

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