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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 903 · 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. 1.12345679 × 36 =
  2. 2.12345678 × 9 + 9 =
  3. 3.123 × 8 + 3 =
  4. 4.111111 × 111111 =
  5. 5.1234567 × 8 + 7 =
  6. 6.123456789 × 8 + 9 =
  7. 7.111 × 111 =
  8. 8.1111 × 1111 =
  9. 9.1234567 × 9 + 8 =
  10. 10.12345679 × 18 =
  11. 11.12345679 × 72 =
  12. 12.37 × 27 =
  13. 13.37 × 21 =
  14. 14.1234 × 9 + 5 =
  15. 15.12345679 × 63 =
  16. 16.12345679 × 27 =
  17. 17.37 × 3 =
  18. 18.123 × 9 + 4 =
  19. 19.12 × 8 + 2 =
  20. 20.37 × 15 =
  21. 21.123456 × 8 + 6 =
  22. 22.11 × 11 =
  23. 23.11111 × 11111 =
  24. 24.37 × 18 =
  25. 25.12345679 × 81 =
  26. 26.12345 × 8 + 5 =
  27. 27.12 × 9 + 3 =
  28. 28.12345 × 9 + 6 =
  29. 29.1234 × 8 + 4 =
  30. 30.12345679 × 54 =
  31. 31.12345679 × 9 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 6 =
  34. 34.12345679 × 45 =
  35. 35.37 × 9 =
  36. 36.12345678 × 9 + 9 =
  37. 37.1234 × 9 + 5 =
  38. 38.37 × 12 =
  39. 39.37 × 24 =
  40. 40.12345678 × 8 + 8 =

Answer key

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

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