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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 387 · 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. 1.12345678 × 9 + 9 =
  2. 2.11111 × 11111 =
  3. 3.12345679 × 63 =
  4. 4.123456789 × 8 + 9 =
  5. 5.1111 × 1111 =
  6. 6.111 × 111 =
  7. 7.37 × 18 =
  8. 8.123456 × 9 + 7 =
  9. 9.37 × 12 =
  10. 10.123456 × 8 + 6 =
  11. 11.12345679 × 72 =
  12. 12.37 × 24 =
  13. 13.12345679 × 36 =
  14. 14.1234567 × 8 + 7 =
  15. 15.37 × 6 =
  16. 16.12345679 × 81 =
  17. 17.11 × 11 =
  18. 18.12 × 9 + 3 =
  19. 19.12 × 8 + 2 =
  20. 20.12345679 × 27 =
  21. 21.37 × 3 =
  22. 22.12345678 × 8 + 8 =
  23. 23.1234 × 9 + 5 =
  24. 24.1234 × 8 + 4 =
  25. 25.12345 × 8 + 5 =
  26. 26.123 × 9 + 4 =
  27. 27.111111 × 111111 =
  28. 28.37 × 15 =
  29. 29.12345679 × 9 =
  30. 30.12345679 × 18 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345679 × 45 =
  33. 33.12345679 × 54 =
  34. 34.37 × 21 =
  35. 35.123 × 8 + 3 =
  36. 36.37 × 21 =
  37. 37.123 × 9 + 4 =
  38. 38.1234567 × 9 + 8 =
  39. 39.37 × 21 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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