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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 986 · 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. 1.111111 × 111111 =
  2. 2.111 × 111 =
  3. 3.12345679 × 9 =
  4. 4.12345679 × 18 =
  5. 5.12345679 × 45 =
  6. 6.1234567 × 9 + 8 =
  7. 7.12 × 9 + 3 =
  8. 8.123 × 9 + 4 =
  9. 9.12345 × 9 + 6 =
  10. 10.37 × 21 =
  11. 11.37 × 27 =
  12. 12.37 × 12 =
  13. 13.37 × 6 =
  14. 14.1234 × 8 + 4 =
  15. 15.123456 × 9 + 7 =
  16. 16.1111 × 1111 =
  17. 17.123 × 8 + 3 =
  18. 18.123456 × 8 + 6 =
  19. 19.12345678 × 9 + 9 =
  20. 20.37 × 24 =
  21. 21.12345679 × 72 =
  22. 22.12345679 × 36 =
  23. 23.37 × 18 =
  24. 24.37 × 9 =
  25. 25.12345679 × 63 =
  26. 26.1234567 × 8 + 7 =
  27. 27.37 × 3 =
  28. 28.12345679 × 54 =
  29. 29.12345679 × 27 =
  30. 30.37 × 15 =
  31. 31.1234 × 9 + 5 =
  32. 32.11 × 11 =
  33. 33.37 × 9 =
  34. 34.11111 × 11111 =
  35. 35.12345678 × 8 + 8 =
  36. 36.12345679 × 72 =
  37. 37.12345 × 8 + 5 =
  38. 38.12 × 8 + 2 =
  39. 39.123456789 × 8 + 9 =
  40. 40.12345679 × 81 =

Answer key

  1. 12345654321
  2. 12321
  3. 111111111
  4. 222222222
  5. 555555555
  6. 11111111
  7. 111
  8. 1111
  9. 111111
  10. 777
  11. 999
  12. 444
  13. 222
  14. 9876
  15. 1111111
  16. 1234321
  17. 987
  18. 987654
  19. 111111111
  20. 888
  21. 888888888
  22. 444444444
  23. 666
  24. 333
  25. 777777777
  26. 9876543
  27. 111
  28. 666666666
  29. 333333333
  30. 555
  31. 11111
  32. 121
  33. 333
  34. 123454321
  35. 98765432
  36. 888888888
  37. 98765
  38. 98
  39. 987654321
  40. 999999999

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