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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 63 · 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. 2.12345679 × 81 =
  3. 3.12 × 9 + 3 =
  4. 4.37 × 3 =
  5. 5.37 × 6 =
  6. 6.11111 × 11111 =
  7. 7.12345679 × 63 =
  8. 8.12345679 × 18 =
  9. 9.123456 × 9 + 7 =
  10. 10.12345678 × 9 + 9 =
  11. 11.37 × 21 =
  12. 12.111111 × 111111 =
  13. 13.1234567 × 9 + 8 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 9 =
  16. 16.12345679 × 45 =
  17. 17.37 × 24 =
  18. 18.1234 × 9 + 5 =
  19. 19.1111 × 1111 =
  20. 20.11 × 11 =
  21. 21.37 × 9 =
  22. 22.12345679 × 54 =
  23. 23.123 × 8 + 3 =
  24. 24.123 × 9 + 4 =
  25. 25.37 × 18 =
  26. 26.37 × 12 =
  27. 27.12345 × 8 + 5 =
  28. 28.12 × 8 + 2 =
  29. 29.37 × 27 =
  30. 30.1234567 × 8 + 7 =
  31. 31.12345679 × 36 =
  32. 32.12345679 × 72 =
  33. 33.123456 × 8 + 6 =
  34. 34.12345679 × 27 =
  35. 35.37 × 27 =
  36. 36.37 × 15 =
  37. 37.12345678 × 9 + 9 =
  38. 38.1234567 × 9 + 8 =
  39. 39.12345679 × 27 =
  40. 40.37 × 27 =

Answer key

  1. 12321
  2. 999999999
  3. 111
  4. 111
  5. 222
  6. 123454321
  7. 777777777
  8. 222222222
  9. 1111111
  10. 111111111
  11. 777
  12. 12345654321
  13. 11111111
  14. 987654321
  15. 111111111
  16. 555555555
  17. 888
  18. 11111
  19. 1234321
  20. 121
  21. 333
  22. 666666666
  23. 987
  24. 1111
  25. 666
  26. 444
  27. 98765
  28. 98
  29. 999
  30. 9876543
  31. 444444444
  32. 888888888
  33. 987654
  34. 333333333
  35. 999
  36. 555
  37. 111111111
  38. 11111111
  39. 333333333
  40. 999

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