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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 825 · 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. 1.11 × 11 =
  2. 2.37 × 24 =
  3. 3.37 × 3 =
  4. 4.12345678 × 9 + 9 =
  5. 5.12345 × 9 + 6 =
  6. 6.1111 × 1111 =
  7. 7.12 × 8 + 2 =
  8. 8.12345679 × 72 =
  9. 9.12345679 × 63 =
  10. 10.12345679 × 18 =
  11. 11.37 × 6 =
  12. 12.37 × 27 =
  13. 13.11111 × 11111 =
  14. 14.1234567 × 8 + 7 =
  15. 15.12345679 × 27 =
  16. 16.37 × 21 =
  17. 17.123456 × 8 + 6 =
  18. 18.12345678 × 8 + 8 =
  19. 19.12 × 9 + 3 =
  20. 20.111 × 111 =
  21. 21.37 × 18 =
  22. 22.37 × 9 =
  23. 23.123456789 × 8 + 9 =
  24. 24.37 × 15 =
  25. 25.1234 × 8 + 4 =
  26. 26.111111 × 111111 =
  27. 27.12345679 × 45 =
  28. 28.12345 × 8 + 5 =
  29. 29.12345679 × 54 =
  30. 30.12345679 × 81 =
  31. 31.12345679 × 36 =
  32. 32.37 × 12 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123 × 8 + 3 =
  35. 35.123456 × 9 + 7 =
  36. 36.12345679 × 72 =
  37. 37.1234 × 9 + 5 =
  38. 38.111111 × 111111 =
  39. 39.123 × 9 + 4 =
  40. 40.12345679 × 9 =

Answer key

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

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