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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 666 · 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. 1.12345679 × 63 =
  2. 2.37 × 9 =
  3. 3.123 × 8 + 3 =
  4. 4.37 × 21 =
  5. 5.37 × 6 =
  6. 6.12345679 × 54 =
  7. 7.123456 × 8 + 6 =
  8. 8.37 × 15 =
  9. 9.111111 × 111111 =
  10. 10.123456789 × 8 + 9 =
  11. 11.12 × 9 + 3 =
  12. 12.1111 × 1111 =
  13. 13.12345679 × 72 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 18 =
  16. 16.1234 × 9 + 5 =
  17. 17.111 × 111 =
  18. 18.1234 × 8 + 4 =
  19. 19.37 × 27 =
  20. 20.123 × 9 + 4 =
  21. 21.12345 × 9 + 6 =
  22. 22.1234567 × 8 + 7 =
  23. 23.12345678 × 8 + 8 =
  24. 24.37 × 18 =
  25. 25.12345679 × 45 =
  26. 26.11111 × 11111 =
  27. 27.12345678 × 9 + 9 =
  28. 28.37 × 24 =
  29. 29.12345679 × 81 =
  30. 30.1234567 × 9 + 8 =
  31. 31.37 × 3 =
  32. 32.11 × 11 =
  33. 33.37 × 9 =
  34. 34.12345679 × 36 =
  35. 35.123456 × 9 + 7 =
  36. 36.37 × 24 =
  37. 37.12345 × 8 + 5 =
  38. 38.37 × 12 =
  39. 39.12345678 × 9 + 9 =
  40. 40.12345679 × 27 =

Answer key

  1. 777777777
  2. 333
  3. 987
  4. 777
  5. 222
  6. 666666666
  7. 987654
  8. 555
  9. 12345654321
  10. 987654321
  11. 111
  12. 1234321
  13. 888888888
  14. 111111111
  15. 222222222
  16. 11111
  17. 12321
  18. 9876
  19. 999
  20. 1111
  21. 111111
  22. 9876543
  23. 98765432
  24. 666
  25. 555555555
  26. 123454321
  27. 111111111
  28. 888
  29. 999999999
  30. 11111111
  31. 111
  32. 121
  33. 333
  34. 444444444
  35. 1111111
  36. 888
  37. 98765
  38. 444
  39. 111111111
  40. 333333333

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