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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 912 · 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. 1.12345 × 9 + 6 =
  2. 2.11 × 11 =
  3. 3.1234 × 9 + 5 =
  4. 4.37 × 3 =
  5. 5.1111 × 1111 =
  6. 6.37 × 12 =
  7. 7.1234567 × 8 + 7 =
  8. 8.37 × 18 =
  9. 9.12345679 × 63 =
  10. 10.11111 × 11111 =
  11. 11.12345678 × 8 + 8 =
  12. 12.37 × 6 =
  13. 13.123456 × 8 + 6 =
  14. 14.123456789 × 8 + 9 =
  15. 15.37 × 24 =
  16. 16.111 × 111 =
  17. 17.111111 × 111111 =
  18. 18.12345679 × 27 =
  19. 19.12 × 9 + 3 =
  20. 20.12345679 × 72 =
  21. 21.123456 × 9 + 7 =
  22. 22.123 × 8 + 3 =
  23. 23.1234 × 8 + 4 =
  24. 24.12345679 × 45 =
  25. 25.37 × 21 =
  26. 26.12345679 × 81 =
  27. 27.12345679 × 54 =
  28. 28.12345 × 8 + 5 =
  29. 29.37 × 27 =
  30. 30.37 × 15 =
  31. 31.12345678 × 9 + 9 =
  32. 32.123 × 9 + 4 =
  33. 33.12 × 8 + 2 =
  34. 34.12345679 × 18 =
  35. 35.37 × 9 =
  36. 36.12345679 × 72 =
  37. 37.12345679 × 36 =
  38. 38.12345679 × 9 =
  39. 39.37 × 12 =
  40. 40.12345 × 8 + 5 =

Answer key

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

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