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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 726 · 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 × 8 + 2 =
  2. 2.11 × 11 =
  3. 3.123 × 8 + 3 =
  4. 4.12345679 × 18 =
  5. 5.111111 × 111111 =
  6. 6.123 × 9 + 4 =
  7. 7.1111 × 1111 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 63 =
  10. 10.12345679 × 9 =
  11. 11.12345679 × 81 =
  12. 12.12345 × 8 + 5 =
  13. 13.111 × 111 =
  14. 14.12345678 × 9 + 9 =
  15. 15.12345679 × 45 =
  16. 16.123456789 × 8 + 9 =
  17. 17.12 × 9 + 3 =
  18. 18.37 × 3 =
  19. 19.12345678 × 8 + 8 =
  20. 20.1234567 × 8 + 7 =
  21. 21.1234 × 9 + 5 =
  22. 22.37 × 24 =
  23. 23.37 × 18 =
  24. 24.1234567 × 9 + 8 =
  25. 25.37 × 9 =
  26. 26.37 × 12 =
  27. 27.12345679 × 72 =
  28. 28.12345 × 9 + 6 =
  29. 29.11111 × 11111 =
  30. 30.37 × 6 =
  31. 31.12345679 × 27 =
  32. 32.123456 × 8 + 6 =
  33. 33.12345679 × 54 =
  34. 34.123456 × 9 + 7 =
  35. 35.12345679 × 63 =
  36. 36.37 × 24 =
  37. 37.12345679 × 9 =
  38. 38.37 × 21 =
  39. 39.37 × 27 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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