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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 868 · 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. 1.11111 × 11111 =
  2. 2.12345679 × 9 =
  3. 3.12345679 × 45 =
  4. 4.12345679 × 63 =
  5. 5.11 × 11 =
  6. 6.37 × 6 =
  7. 7.1234567 × 9 + 8 =
  8. 8.1234 × 9 + 5 =
  9. 9.12345678 × 8 + 8 =
  10. 10.37 × 9 =
  11. 11.12345679 × 18 =
  12. 12.12345679 × 36 =
  13. 13.123 × 8 + 3 =
  14. 14.12345679 × 72 =
  15. 15.12 × 8 + 2 =
  16. 16.1234567 × 8 + 7 =
  17. 17.111 × 111 =
  18. 18.12345679 × 81 =
  19. 19.12 × 9 + 3 =
  20. 20.123456 × 8 + 6 =
  21. 21.12345678 × 9 + 9 =
  22. 22.37 × 27 =
  23. 23.12345 × 9 + 6 =
  24. 24.37 × 12 =
  25. 25.37 × 3 =
  26. 26.37 × 21 =
  27. 27.123456789 × 8 + 9 =
  28. 28.1234 × 8 + 4 =
  29. 29.37 × 24 =
  30. 30.1111 × 1111 =
  31. 31.111111 × 111111 =
  32. 32.123456 × 9 + 7 =
  33. 33.37 × 18 =
  34. 34.12345679 × 27 =
  35. 35.12345679 × 54 =
  36. 36.123 × 9 + 4 =
  37. 37.37 × 15 =
  38. 38.12345679 × 63 =
  39. 39.11111 × 11111 =
  40. 40.1234 × 9 + 5 =

Answer key

  1. 123454321
  2. 111111111
  3. 555555555
  4. 777777777
  5. 121
  6. 222
  7. 11111111
  8. 11111
  9. 98765432
  10. 333
  11. 222222222
  12. 444444444
  13. 987
  14. 888888888
  15. 98
  16. 9876543
  17. 12321
  18. 999999999
  19. 111
  20. 987654
  21. 111111111
  22. 999
  23. 111111
  24. 444
  25. 111
  26. 777
  27. 987654321
  28. 9876
  29. 888
  30. 1234321
  31. 12345654321
  32. 1111111
  33. 666
  34. 333333333
  35. 666666666
  36. 1111
  37. 555
  38. 777777777
  39. 123454321
  40. 11111

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