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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 374 · 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. 2.111 × 111 =
  3. 3.12345679 × 45 =
  4. 4.12 × 9 + 3 =
  5. 5.123456 × 8 + 6 =
  6. 6.12345679 × 81 =
  7. 7.11 × 11 =
  8. 8.1234 × 8 + 4 =
  9. 9.37 × 6 =
  10. 10.37 × 18 =
  11. 11.1234567 × 9 + 8 =
  12. 12.37 × 27 =
  13. 13.1111 × 1111 =
  14. 14.37 × 15 =
  15. 15.12345679 × 72 =
  16. 16.37 × 12 =
  17. 17.12 × 8 + 2 =
  18. 18.12345679 × 54 =
  19. 19.123456789 × 8 + 9 =
  20. 20.111111 × 111111 =
  21. 21.12345679 × 27 =
  22. 22.123456 × 9 + 7 =
  23. 23.12345 × 9 + 6 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 9 =
  26. 26.12345679 × 18 =
  27. 27.12345679 × 36 =
  28. 28.37 × 21 =
  29. 29.1234567 × 8 + 7 =
  30. 30.11111 × 11111 =
  31. 31.12345678 × 8 + 8 =
  32. 32.12345678 × 9 + 9 =
  33. 33.37 × 3 =
  34. 34.12345679 × 72 =
  35. 35.1234 × 9 + 5 =
  36. 36.123 × 9 + 4 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 63 =
  39. 39.37 × 24 =
  40. 40.12345679 × 81 =

Answer key

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

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