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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 687 · 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. 1.11111 × 11111 =
  2. 2.123456 × 9 + 7 =
  3. 3.37 × 27 =
  4. 4.111111 × 111111 =
  5. 5.12345678 × 9 + 9 =
  6. 6.12345 × 9 + 6 =
  7. 7.37 × 9 =
  8. 8.12345679 × 45 =
  9. 9.37 × 15 =
  10. 10.37 × 24 =
  11. 11.12345679 × 36 =
  12. 12.111 × 111 =
  13. 13.37 × 6 =
  14. 14.11 × 11 =
  15. 15.12345679 × 72 =
  16. 16.123 × 9 + 4 =
  17. 17.12345 × 8 + 5 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12345679 × 81 =
  20. 20.123 × 8 + 3 =
  21. 21.37 × 24 =
  22. 22.12345679 × 27 =
  23. 23.37 × 21 =
  24. 24.123456789 × 8 + 9 =
  25. 25.123456 × 8 + 6 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345679 × 54 =
  28. 28.12345679 × 9 =
  29. 29.37 × 12 =
  30. 30.1234567 × 8 + 7 =
  31. 31.1234 × 9 + 5 =
  32. 32.1111 × 1111 =
  33. 33.12345679 × 45 =
  34. 34.12345679 × 54 =
  35. 35.1234 × 8 + 4 =
  36. 36.37 × 18 =
  37. 37.12345678 × 8 + 8 =
  38. 38.12345679 × 63 =
  39. 39.12 × 8 + 2 =
  40. 40.37 × 3 =

Answer key

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

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