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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 273 · 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. 1.123456789 × 8 + 9 =
  2. 2.12 × 8 + 2 =
  3. 3.12 × 9 + 3 =
  4. 4.111111 × 111111 =
  5. 5.12345678 × 9 + 9 =
  6. 6.123 × 9 + 4 =
  7. 7.37 × 18 =
  8. 8.37 × 21 =
  9. 9.37 × 3 =
  10. 10.12345679 × 54 =
  11. 11.1111 × 1111 =
  12. 12.12345679 × 63 =
  13. 13.11111 × 11111 =
  14. 14.12345679 × 27 =
  15. 15.12345679 × 72 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345678 × 8 + 8 =
  18. 18.111 × 111 =
  19. 19.1234567 × 8 + 7 =
  20. 20.11 × 11 =
  21. 21.123456 × 8 + 6 =
  22. 22.37 × 15 =
  23. 23.12345679 × 36 =
  24. 24.12345679 × 18 =
  25. 25.37 × 12 =
  26. 26.37 × 9 =
  27. 27.12345679 × 81 =
  28. 28.12345 × 9 + 6 =
  29. 29.1234 × 8 + 4 =
  30. 30.37 × 27 =
  31. 31.1234 × 9 + 5 =
  32. 32.123 × 8 + 3 =
  33. 33.37 × 6 =
  34. 34.37 × 24 =
  35. 35.12345679 × 45 =
  36. 36.12345679 × 9 =
  37. 37.12345 × 8 + 5 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345679 × 54 =
  40. 40.12345679 × 18 =

Answer key

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

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