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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 348 · 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. 1.1111 × 1111 =
  2. 2.12345679 × 63 =
  3. 3.123456 × 9 + 7 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 27 =
  6. 6.37 × 6 =
  7. 7.11 × 11 =
  8. 8.111 × 111 =
  9. 9.111111 × 111111 =
  10. 10.12345 × 9 + 6 =
  11. 11.12345678 × 9 + 9 =
  12. 12.12345678 × 8 + 8 =
  13. 13.37 × 9 =
  14. 14.12345679 × 72 =
  15. 15.12345679 × 36 =
  16. 16.12 × 9 + 3 =
  17. 17.123456789 × 8 + 9 =
  18. 18.12345679 × 81 =
  19. 19.123 × 9 + 4 =
  20. 20.12345679 × 18 =
  21. 21.12345 × 8 + 5 =
  22. 22.12345679 × 9 =
  23. 23.123 × 8 + 3 =
  24. 24.1234567 × 8 + 7 =
  25. 25.12345679 × 45 =
  26. 26.37 × 12 =
  27. 27.111 × 111 =
  28. 28.37 × 15 =
  29. 29.1234 × 9 + 5 =
  30. 30.123456 × 8 + 6 =
  31. 31.37 × 21 =
  32. 32.37 × 24 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123 × 9 + 4 =
  35. 35.12 × 8 + 2 =
  36. 36.1234 × 8 + 4 =
  37. 37.12345679 × 54 =
  38. 38.37 × 27 =
  39. 39.111 × 111 =
  40. 40.123 × 8 + 3 =

Answer key

  1. 1234321
  2. 777777777
  3. 1111111
  4. 123454321
  5. 333333333
  6. 222
  7. 121
  8. 12321
  9. 12345654321
  10. 111111
  11. 111111111
  12. 98765432
  13. 333
  14. 888888888
  15. 444444444
  16. 111
  17. 987654321
  18. 999999999
  19. 1111
  20. 222222222
  21. 98765
  22. 111111111
  23. 987
  24. 9876543
  25. 555555555
  26. 444
  27. 12321
  28. 555
  29. 11111
  30. 987654
  31. 777
  32. 888
  33. 11111111
  34. 1111
  35. 98
  36. 9876
  37. 666666666
  38. 999
  39. 12321
  40. 987

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