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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 809 · 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 × 45 =
  2. 2.37 × 3 =
  3. 3.12345679 × 18 =
  4. 4.37 × 6 =
  5. 5.11 × 11 =
  6. 6.123456 × 8 + 6 =
  7. 7.37 × 21 =
  8. 8.111 × 111 =
  9. 9.12345 × 9 + 6 =
  10. 10.37 × 15 =
  11. 11.12345679 × 54 =
  12. 12.1234567 × 8 + 7 =
  13. 13.111111 × 111111 =
  14. 14.12345679 × 9 =
  15. 15.12345679 × 63 =
  16. 16.11111 × 11111 =
  17. 17.1111 × 1111 =
  18. 18.1234567 × 9 + 8 =
  19. 19.12 × 9 + 3 =
  20. 20.123456 × 9 + 7 =
  21. 21.37 × 9 =
  22. 22.37 × 24 =
  23. 23.123 × 8 + 3 =
  24. 24.12345679 × 72 =
  25. 25.12345679 × 36 =
  26. 26.1234 × 9 + 5 =
  27. 27.37 × 12 =
  28. 28.12 × 8 + 2 =
  29. 29.37 × 3 =
  30. 30.12345679 × 27 =
  31. 31.12345 × 8 + 5 =
  32. 32.12345679 × 81 =
  33. 33.37 × 27 =
  34. 34.12345678 × 8 + 8 =
  35. 35.111111 × 111111 =
  36. 36.37 × 27 =
  37. 37.123 × 9 + 4 =
  38. 38.37 × 18 =
  39. 39.12345679 × 9 =
  40. 40.12345678 × 9 + 9 =

Answer key

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

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