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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 929 · 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. 1.12 × 8 + 2 =
  2. 2.37 × 6 =
  3. 3.12345 × 8 + 5 =
  4. 4.12345679 × 72 =
  5. 5.111111 × 111111 =
  6. 6.1234567 × 8 + 7 =
  7. 7.1234 × 9 + 5 =
  8. 8.12345679 × 45 =
  9. 9.123 × 8 + 3 =
  10. 10.1111 × 1111 =
  11. 11.123 × 9 + 4 =
  12. 12.12345679 × 18 =
  13. 13.123456 × 9 + 7 =
  14. 14.37 × 18 =
  15. 15.111 × 111 =
  16. 16.37 × 3 =
  17. 17.37 × 21 =
  18. 18.37 × 15 =
  19. 19.12345679 × 36 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12345679 × 81 =
  22. 22.12345679 × 63 =
  23. 23.12 × 9 + 3 =
  24. 24.11111 × 11111 =
  25. 25.12345679 × 27 =
  26. 26.37 × 24 =
  27. 27.11 × 11 =
  28. 28.123456789 × 8 + 9 =
  29. 29.123456 × 8 + 6 =
  30. 30.12345679 × 27 =
  31. 31.37 × 12 =
  32. 32.12345679 × 9 =
  33. 33.37 × 9 =
  34. 34.12345679 × 54 =
  35. 35.1234 × 8 + 4 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345679 × 9 =
  38. 38.123 × 9 + 4 =
  39. 39.1111 × 1111 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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