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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 349 · 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. 1.12345679 × 9 =
  2. 2.1234 × 8 + 4 =
  3. 3.12 × 9 + 3 =
  4. 4.123456 × 8 + 6 =
  5. 5.11 × 11 =
  6. 6.37 × 9 =
  7. 7.12345678 × 9 + 9 =
  8. 8.12345679 × 27 =
  9. 9.123456789 × 8 + 9 =
  10. 10.12345679 × 63 =
  11. 11.12345679 × 36 =
  12. 12.12345679 × 72 =
  13. 13.123 × 9 + 4 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 81 =
  16. 16.11111 × 11111 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345 × 8 + 5 =
  19. 19.37 × 24 =
  20. 20.37 × 12 =
  21. 21.37 × 21 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345678 × 8 + 8 =
  24. 24.12345679 × 54 =
  25. 25.12 × 8 + 2 =
  26. 26.1234567 × 8 + 7 =
  27. 27.12345679 × 18 =
  28. 28.37 × 3 =
  29. 29.12345679 × 45 =
  30. 30.111 × 111 =
  31. 31.123 × 8 + 3 =
  32. 32.1111 × 1111 =
  33. 33.37 × 15 =
  34. 34.1234567 × 9 + 8 =
  35. 35.111111 × 111111 =
  36. 36.37 × 3 =
  37. 37.12345679 × 72 =
  38. 38.37 × 6 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345679 × 45 =

Answer key

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

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