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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 227 · 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 × 8 + 4 =
  2. 2.12345678 × 9 + 9 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345679 × 27 =
  5. 5.12345679 × 18 =
  6. 6.37 × 9 =
  7. 7.111111 × 111111 =
  8. 8.1111 × 1111 =
  9. 9.12345679 × 36 =
  10. 10.37 × 24 =
  11. 11.111 × 111 =
  12. 12.123 × 8 + 3 =
  13. 13.123456789 × 8 + 9 =
  14. 14.37 × 3 =
  15. 15.12345679 × 81 =
  16. 16.12345679 × 54 =
  17. 17.12 × 8 + 2 =
  18. 18.37 × 21 =
  19. 19.37 × 6 =
  20. 20.123 × 9 + 4 =
  21. 21.12 × 9 + 3 =
  22. 22.12345679 × 9 =
  23. 23.11111 × 11111 =
  24. 24.37 × 15 =
  25. 25.11 × 11 =
  26. 26.1234567 × 9 + 8 =
  27. 27.12345 × 8 + 5 =
  28. 28.12345678 × 8 + 8 =
  29. 29.12345678 × 8 + 8 =
  30. 30.12345 × 9 + 6 =
  31. 31.12345679 × 45 =
  32. 32.37 × 12 =
  33. 33.37 × 27 =
  34. 34.12345679 × 72 =
  35. 35.1234567 × 8 + 7 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 63 =
  38. 38.12345678 × 8 + 8 =
  39. 39.1234 × 9 + 5 =
  40. 40.12345679 × 81 =

Answer key

  1. 9876
  2. 111111111
  3. 1111111
  4. 333333333
  5. 222222222
  6. 333
  7. 12345654321
  8. 1234321
  9. 444444444
  10. 888
  11. 12321
  12. 987
  13. 987654321
  14. 111
  15. 999999999
  16. 666666666
  17. 98
  18. 777
  19. 222
  20. 1111
  21. 111
  22. 111111111
  23. 123454321
  24. 555
  25. 121
  26. 11111111
  27. 98765
  28. 98765432
  29. 98765432
  30. 111111
  31. 555555555
  32. 444
  33. 999
  34. 888888888
  35. 9876543
  36. 888888888
  37. 777777777
  38. 98765432
  39. 11111
  40. 999999999

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