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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 284 · 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. 2.12345679 × 36 =
  3. 3.1234 × 9 + 5 =
  4. 4.12345679 × 72 =
  5. 5.1234 × 8 + 4 =
  6. 6.12345679 × 45 =
  7. 7.12345679 × 18 =
  8. 8.12 × 8 + 2 =
  9. 9.11111 × 11111 =
  10. 10.37 × 6 =
  11. 11.123 × 8 + 3 =
  12. 12.111 × 111 =
  13. 13.37 × 15 =
  14. 14.37 × 9 =
  15. 15.1234567 × 8 + 7 =
  16. 16.12345 × 8 + 5 =
  17. 17.12345679 × 27 =
  18. 18.123456 × 9 + 7 =
  19. 19.111111 × 111111 =
  20. 20.123456789 × 8 + 9 =
  21. 21.12345679 × 9 =
  22. 22.37 × 27 =
  23. 23.12345679 × 63 =
  24. 24.1234567 × 9 + 8 =
  25. 25.123 × 9 + 4 =
  26. 26.12 × 9 + 3 =
  27. 27.12345679 × 54 =
  28. 28.11 × 11 =
  29. 29.37 × 3 =
  30. 30.1234 × 8 + 4 =
  31. 31.37 × 24 =
  32. 32.37 × 21 =
  33. 33.37 × 12 =
  34. 34.1111 × 1111 =
  35. 35.1111 × 1111 =
  36. 36.12345 × 9 + 6 =
  37. 37.12345679 × 81 =
  38. 38.123456 × 9 + 7 =
  39. 39.12345679 × 27 =
  40. 40.37 × 18 =

Answer key

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

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