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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 839 · 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. 2.123456789 × 8 + 9 =
  3. 3.123456 × 9 + 7 =
  4. 4.12345 × 9 + 6 =
  5. 5.37 × 9 =
  6. 6.12345678 × 8 + 8 =
  7. 7.1234567 × 8 + 7 =
  8. 8.12345679 × 18 =
  9. 9.123 × 9 + 4 =
  10. 10.111111 × 111111 =
  11. 11.12345 × 8 + 5 =
  12. 12.12345679 × 72 =
  13. 13.37 × 18 =
  14. 14.12345679 × 63 =
  15. 15.12345678 × 9 + 9 =
  16. 16.1234567 × 9 + 8 =
  17. 17.37 × 12 =
  18. 18.12 × 9 + 3 =
  19. 19.12345679 × 45 =
  20. 20.12345679 × 54 =
  21. 21.12345679 × 27 =
  22. 22.12 × 8 + 2 =
  23. 23.11 × 11 =
  24. 24.1234 × 9 + 5 =
  25. 25.37 × 15 =
  26. 26.1111 × 1111 =
  27. 27.123456 × 8 + 6 =
  28. 28.37 × 21 =
  29. 29.12345679 × 81 =
  30. 30.37 × 3 =
  31. 31.37 × 6 =
  32. 32.12345679 × 9 =
  33. 33.1234 × 8 + 4 =
  34. 34.12345679 × 36 =
  35. 35.123 × 8 + 3 =
  36. 36.12345 × 9 + 6 =
  37. 37.37 × 18 =
  38. 38.37 × 12 =
  39. 39.11111 × 11111 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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