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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 404 · 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. 1.1111 × 1111 =
  2. 2.12345679 × 36 =
  3. 3.11111 × 11111 =
  4. 4.111111 × 111111 =
  5. 5.1234567 × 9 + 8 =
  6. 6.37 × 12 =
  7. 7.12345679 × 72 =
  8. 8.37 × 3 =
  9. 9.12345679 × 45 =
  10. 10.12345679 × 81 =
  11. 11.123 × 9 + 4 =
  12. 12.12 × 9 + 3 =
  13. 13.37 × 18 =
  14. 14.11 × 11 =
  15. 15.111 × 111 =
  16. 16.12345 × 9 + 6 =
  17. 17.123456 × 9 + 7 =
  18. 18.12345679 × 9 =
  19. 19.123 × 8 + 3 =
  20. 20.12345679 × 54 =
  21. 21.37 × 24 =
  22. 22.12345679 × 27 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 63 =
  25. 25.12345 × 8 + 5 =
  26. 26.1234 × 9 + 5 =
  27. 27.1234567 × 8 + 7 =
  28. 28.12345678 × 9 + 9 =
  29. 29.37 × 6 =
  30. 30.12345678 × 8 + 8 =
  31. 31.37 × 27 =
  32. 32.37 × 21 =
  33. 33.123456 × 8 + 6 =
  34. 34.111 × 111 =
  35. 35.37 × 15 =
  36. 36.37 × 9 =
  37. 37.37 × 18 =
  38. 38.12345679 × 18 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 9 =

Answer key

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

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