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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 774 · 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 × 9 + 3 =
  2. 2.12345679 × 9 =
  3. 3.1234567 × 8 + 7 =
  4. 4.37 × 18 =
  5. 5.37 × 21 =
  6. 6.12345679 × 72 =
  7. 7.123 × 9 + 4 =
  8. 8.111111 × 111111 =
  9. 9.37 × 6 =
  10. 10.37 × 12 =
  11. 11.123456 × 8 + 6 =
  12. 12.11111 × 11111 =
  13. 13.12345679 × 27 =
  14. 14.11 × 11 =
  15. 15.12345 × 9 + 6 =
  16. 16.1111 × 1111 =
  17. 17.1234 × 9 + 5 =
  18. 18.123456789 × 8 + 9 =
  19. 19.12345679 × 54 =
  20. 20.37 × 24 =
  21. 21.12345679 × 18 =
  22. 22.12345678 × 8 + 8 =
  23. 23.37 × 9 =
  24. 24.123456 × 9 + 7 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345679 × 45 =
  27. 27.12 × 8 + 2 =
  28. 28.123 × 8 + 3 =
  29. 29.111 × 111 =
  30. 30.37 × 27 =
  31. 31.37 × 3 =
  32. 32.12345 × 9 + 6 =
  33. 33.12345678 × 9 + 9 =
  34. 34.12345679 × 36 =
  35. 35.37 × 18 =
  36. 36.123456 × 8 + 6 =
  37. 37.12345 × 8 + 5 =
  38. 38.12345679 × 63 =
  39. 39.123 × 9 + 4 =
  40. 40.1234567 × 9 + 8 =

Answer key

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

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