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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 834 · 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 × 9 =
  2. 2.37 × 27 =
  3. 3.123 × 8 + 3 =
  4. 4.11111 × 11111 =
  5. 5.12345679 × 45 =
  6. 6.12345679 × 81 =
  7. 7.1111 × 1111 =
  8. 8.12345 × 9 + 6 =
  9. 9.111111 × 111111 =
  10. 10.1234567 × 8 + 7 =
  11. 11.12 × 8 + 2 =
  12. 12.1234 × 9 + 5 =
  13. 13.1234567 × 9 + 8 =
  14. 14.37 × 12 =
  15. 15.123 × 9 + 4 =
  16. 16.111 × 111 =
  17. 17.37 × 21 =
  18. 18.12345679 × 36 =
  19. 19.123456 × 9 + 7 =
  20. 20.12345679 × 27 =
  21. 21.12345679 × 72 =
  22. 22.1234 × 8 + 4 =
  23. 23.37 × 6 =
  24. 24.12345679 × 18 =
  25. 25.12345 × 8 + 5 =
  26. 26.12345678 × 8 + 8 =
  27. 27.37 × 9 =
  28. 28.12345679 × 54 =
  29. 29.37 × 24 =
  30. 30.12345679 × 63 =
  31. 31.12 × 9 + 3 =
  32. 32.12345679 × 18 =
  33. 33.12345678 × 9 + 9 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 15 =
  36. 36.1234 × 9 + 5 =
  37. 37.12 × 9 + 3 =
  38. 38.12345678 × 9 + 9 =
  39. 39.11 × 11 =
  40. 40.37 × 3 =

Answer key

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

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