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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 363 · 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. 1.1234 × 9 + 5 =
  2. 2.111 × 111 =
  3. 3.111111 × 111111 =
  4. 4.12345679 × 36 =
  5. 5.1111 × 1111 =
  6. 6.37 × 18 =
  7. 7.11 × 11 =
  8. 8.12345 × 8 + 5 =
  9. 9.12345 × 9 + 6 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 9 =
  12. 12.12345679 × 72 =
  13. 13.12345678 × 8 + 8 =
  14. 14.123 × 9 + 4 =
  15. 15.37 × 24 =
  16. 16.1234 × 8 + 4 =
  17. 17.37 × 9 =
  18. 18.12345679 × 81 =
  19. 19.37 × 12 =
  20. 20.11111 × 11111 =
  21. 21.12345679 × 45 =
  22. 22.123456 × 9 + 7 =
  23. 23.1234567 × 8 + 7 =
  24. 24.123 × 8 + 3 =
  25. 25.37 × 6 =
  26. 26.12 × 9 + 3 =
  27. 27.37 × 27 =
  28. 28.11 × 11 =
  29. 29.37 × 15 =
  30. 30.37 × 3 =
  31. 31.37 × 21 =
  32. 32.123456 × 8 + 6 =
  33. 33.12345679 × 27 =
  34. 34.12345679 × 54 =
  35. 35.123456789 × 8 + 9 =
  36. 36.111111 × 111111 =
  37. 37.1234567 × 9 + 8 =
  38. 38.12345679 × 63 =
  39. 39.12345679 × 63 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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