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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 333 · 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. 1.111 × 111 =
  2. 2.12 × 8 + 2 =
  3. 3.12345679 × 27 =
  4. 4.1111 × 1111 =
  5. 5.123456 × 9 + 7 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345679 × 72 =
  8. 8.12345679 × 9 =
  9. 9.12345 × 9 + 6 =
  10. 10.123456 × 8 + 6 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 81 =
  13. 13.37 × 3 =
  14. 14.37 × 15 =
  15. 15.37 × 12 =
  16. 16.37 × 9 =
  17. 17.37 × 6 =
  18. 18.11111 × 11111 =
  19. 19.111111 × 111111 =
  20. 20.1234567 × 9 + 8 =
  21. 21.12345 × 8 + 5 =
  22. 22.37 × 21 =
  23. 23.37 × 27 =
  24. 24.123456789 × 8 + 9 =
  25. 25.12345679 × 54 =
  26. 26.37 × 18 =
  27. 27.12345678 × 8 + 8 =
  28. 28.12345679 × 18 =
  29. 29.12345678 × 9 + 9 =
  30. 30.1234567 × 8 + 7 =
  31. 31.11 × 11 =
  32. 32.12345679 × 45 =
  33. 33.123 × 8 + 3 =
  34. 34.12 × 9 + 3 =
  35. 35.12345679 × 63 =
  36. 36.12345679 × 36 =
  37. 37.123456 × 9 + 7 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 12 =
  40. 40.1111 × 1111 =

Answer key

  1. 12321
  2. 98
  3. 333333333
  4. 1234321
  5. 1111111
  6. 11111
  7. 888888888
  8. 111111111
  9. 111111
  10. 987654
  11. 1111
  12. 999999999
  13. 111
  14. 555
  15. 444
  16. 333
  17. 222
  18. 123454321
  19. 12345654321
  20. 11111111
  21. 98765
  22. 777
  23. 999
  24. 987654321
  25. 666666666
  26. 666
  27. 98765432
  28. 222222222
  29. 111111111
  30. 9876543
  31. 121
  32. 555555555
  33. 987
  34. 111
  35. 777777777
  36. 444444444
  37. 1111111
  38. 9876
  39. 444
  40. 1234321

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