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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 816 · 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. 1.37 × 27 =
  2. 2.12345679 × 81 =
  3. 3.11111 × 11111 =
  4. 4.37 × 24 =
  5. 5.111111 × 111111 =
  6. 6.37 × 18 =
  7. 7.123 × 9 + 4 =
  8. 8.12345679 × 9 =
  9. 9.37 × 15 =
  10. 10.1234567 × 8 + 7 =
  11. 11.111 × 111 =
  12. 12.12345679 × 27 =
  13. 13.11 × 11 =
  14. 14.123456 × 8 + 6 =
  15. 15.12345679 × 63 =
  16. 16.12345679 × 54 =
  17. 17.37 × 6 =
  18. 18.37 × 9 =
  19. 19.12345679 × 18 =
  20. 20.12345678 × 8 + 8 =
  21. 21.12345 × 8 + 5 =
  22. 22.12 × 9 + 3 =
  23. 23.12345679 × 45 =
  24. 24.1234 × 8 + 4 =
  25. 25.123 × 8 + 3 =
  26. 26.12345678 × 9 + 9 =
  27. 27.37 × 21 =
  28. 28.1111 × 1111 =
  29. 29.12345679 × 72 =
  30. 30.123456789 × 8 + 9 =
  31. 31.12 × 8 + 2 =
  32. 32.1234567 × 8 + 7 =
  33. 33.12 × 8 + 2 =
  34. 34.37 × 3 =
  35. 35.1234 × 8 + 4 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345679 × 36 =
  38. 38.12 × 9 + 3 =
  39. 39.123456 × 9 + 7 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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