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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 780 · 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 × 81 =
  2. 2.1234567 × 9 + 8 =
  3. 3.12345679 × 36 =
  4. 4.37 × 27 =
  5. 5.37 × 6 =
  6. 6.1234 × 9 + 5 =
  7. 7.12345679 × 54 =
  8. 8.12345679 × 18 =
  9. 9.1111 × 1111 =
  10. 10.12345 × 8 + 5 =
  11. 11.111111 × 111111 =
  12. 12.37 × 21 =
  13. 13.12345679 × 27 =
  14. 14.123456789 × 8 + 9 =
  15. 15.37 × 3 =
  16. 16.12345679 × 9 =
  17. 17.37 × 24 =
  18. 18.37 × 12 =
  19. 19.11 × 11 =
  20. 20.12345678 × 9 + 9 =
  21. 21.12 × 8 + 2 =
  22. 22.12345679 × 63 =
  23. 23.37 × 9 =
  24. 24.123456 × 9 + 7 =
  25. 25.1234 × 8 + 4 =
  26. 26.12345 × 9 + 6 =
  27. 27.123 × 9 + 4 =
  28. 28.11111 × 11111 =
  29. 29.123 × 8 + 3 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 45 =
  32. 32.12345679 × 72 =
  33. 33.37 × 18 =
  34. 34.1234567 × 8 + 7 =
  35. 35.123456 × 8 + 6 =
  36. 36.111 × 111 =
  37. 37.37 × 15 =
  38. 38.123 × 9 + 4 =
  39. 39.111111 × 111111 =
  40. 40.12345 × 9 + 6 =

Answer key

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

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