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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 785 · 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 × 27 =
  2. 2.1234567 × 8 + 7 =
  3. 3.37 × 12 =
  4. 4.12345679 × 72 =
  5. 5.123456789 × 8 + 9 =
  6. 6.37 × 3 =
  7. 7.12345679 × 54 =
  8. 8.123 × 9 + 4 =
  9. 9.12345 × 9 + 6 =
  10. 10.111111 × 111111 =
  11. 11.1111 × 1111 =
  12. 12.12345678 × 9 + 9 =
  13. 13.37 × 9 =
  14. 14.11 × 11 =
  15. 15.12 × 9 + 3 =
  16. 16.123456 × 9 + 7 =
  17. 17.12345679 × 9 =
  18. 18.12 × 8 + 2 =
  19. 19.1234 × 9 + 5 =
  20. 20.123 × 8 + 3 =
  21. 21.12345679 × 45 =
  22. 22.12345679 × 18 =
  23. 23.12345679 × 36 =
  24. 24.37 × 27 =
  25. 25.37 × 6 =
  26. 26.12345679 × 81 =
  27. 27.12345678 × 8 + 8 =
  28. 28.1234 × 8 + 4 =
  29. 29.111 × 111 =
  30. 30.111111 × 111111 =
  31. 31.12345679 × 63 =
  32. 32.37 × 21 =
  33. 33.11111 × 11111 =
  34. 34.123456 × 8 + 6 =
  35. 35.1234567 × 9 + 8 =
  36. 36.12345679 × 45 =
  37. 37.37 × 24 =
  38. 38.12345 × 8 + 5 =
  39. 39.12345678 × 9 + 9 =
  40. 40.37 × 12 =

Answer key

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

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