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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 796 · 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. 1.11111 × 11111 =
  2. 2.37 × 12 =
  3. 3.12345679 × 18 =
  4. 4.1234 × 8 + 4 =
  5. 5.37 × 15 =
  6. 6.12345 × 8 + 5 =
  7. 7.37 × 18 =
  8. 8.1234567 × 8 + 7 =
  9. 9.37 × 21 =
  10. 10.12345679 × 81 =
  11. 11.37 × 27 =
  12. 12.12 × 9 + 3 =
  13. 13.111 × 111 =
  14. 14.37 × 24 =
  15. 15.12345679 × 45 =
  16. 16.12345 × 9 + 6 =
  17. 17.11 × 11 =
  18. 18.123 × 8 + 3 =
  19. 19.37 × 3 =
  20. 20.12345679 × 27 =
  21. 21.12345679 × 54 =
  22. 22.111111 × 111111 =
  23. 23.1111 × 1111 =
  24. 24.12345679 × 63 =
  25. 25.123 × 9 + 4 =
  26. 26.12 × 8 + 2 =
  27. 27.1234 × 9 + 5 =
  28. 28.37 × 9 =
  29. 29.123456 × 9 + 7 =
  30. 30.37 × 6 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123 × 9 + 4 =
  33. 33.12345679 × 9 =
  34. 34.12345679 × 72 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345678 × 8 + 8 =
  37. 37.123456 × 8 + 6 =
  38. 38.11111 × 11111 =
  39. 39.12 × 9 + 3 =
  40. 40.123456789 × 8 + 9 =

Answer key

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

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