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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 865 · 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 × 9 =
  2. 2.123456 × 9 + 7 =
  3. 3.111 × 111 =
  4. 4.12345679 × 45 =
  5. 5.37 × 21 =
  6. 6.11 × 11 =
  7. 7.37 × 9 =
  8. 8.12 × 9 + 3 =
  9. 9.1234 × 9 + 5 =
  10. 10.11111 × 11111 =
  11. 11.123456789 × 8 + 9 =
  12. 12.12345679 × 54 =
  13. 13.12345679 × 63 =
  14. 14.1111 × 1111 =
  15. 15.123 × 8 + 3 =
  16. 16.12345679 × 81 =
  17. 17.12345679 × 36 =
  18. 18.37 × 15 =
  19. 19.111111 × 111111 =
  20. 20.12345679 × 27 =
  21. 21.123456 × 8 + 6 =
  22. 22.1234567 × 9 + 8 =
  23. 23.12345678 × 9 + 9 =
  24. 24.37 × 27 =
  25. 25.12345678 × 8 + 8 =
  26. 26.37 × 18 =
  27. 27.12345 × 8 + 5 =
  28. 28.37 × 3 =
  29. 29.12345679 × 72 =
  30. 30.1234 × 8 + 4 =
  31. 31.12345 × 9 + 6 =
  32. 32.12345679 × 18 =
  33. 33.12 × 8 + 2 =
  34. 34.12345679 × 72 =
  35. 35.37 × 24 =
  36. 36.37 × 12 =
  37. 37.37 × 6 =
  38. 38.1234 × 8 + 4 =
  39. 39.37 × 21 =
  40. 40.1234567 × 8 + 7 =

Answer key

  1. 111111111
  2. 1111111
  3. 12321
  4. 555555555
  5. 777
  6. 121
  7. 333
  8. 111
  9. 11111
  10. 123454321
  11. 987654321
  12. 666666666
  13. 777777777
  14. 1234321
  15. 987
  16. 999999999
  17. 444444444
  18. 555
  19. 12345654321
  20. 333333333
  21. 987654
  22. 11111111
  23. 111111111
  24. 999
  25. 98765432
  26. 666
  27. 98765
  28. 111
  29. 888888888
  30. 9876
  31. 111111
  32. 222222222
  33. 98
  34. 888888888
  35. 888
  36. 444
  37. 222
  38. 9876
  39. 777
  40. 9876543

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