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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 843 · 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. 1.1111 × 1111 =
  2. 2.1234 × 8 + 4 =
  3. 3.11111 × 11111 =
  4. 4.37 × 12 =
  5. 5.111 × 111 =
  6. 6.1234567 × 8 + 7 =
  7. 7.12345679 × 18 =
  8. 8.12 × 8 + 2 =
  9. 9.123456 × 8 + 6 =
  10. 10.123 × 9 + 4 =
  11. 11.37 × 3 =
  12. 12.12345679 × 36 =
  13. 13.12345679 × 63 =
  14. 14.123 × 8 + 3 =
  15. 15.11 × 11 =
  16. 16.12345 × 8 + 5 =
  17. 17.123456 × 9 + 7 =
  18. 18.1234 × 9 + 5 =
  19. 19.37 × 9 =
  20. 20.111111 × 111111 =
  21. 21.37 × 24 =
  22. 22.12345679 × 54 =
  23. 23.12345 × 9 + 6 =
  24. 24.12345679 × 45 =
  25. 25.123456789 × 8 + 9 =
  26. 26.37 × 15 =
  27. 27.12345679 × 27 =
  28. 28.37 × 6 =
  29. 29.12345679 × 72 =
  30. 30.12 × 9 + 3 =
  31. 31.12345679 × 9 =
  32. 32.37 × 18 =
  33. 33.12345678 × 9 + 9 =
  34. 34.37 × 27 =
  35. 35.12345678 × 8 + 8 =
  36. 36.1234567 × 9 + 8 =
  37. 37.12345679 × 27 =
  38. 38.12345679 × 81 =
  39. 39.123 × 9 + 4 =
  40. 40.37 × 3 =

Answer key

  1. 1234321
  2. 9876
  3. 123454321
  4. 444
  5. 12321
  6. 9876543
  7. 222222222
  8. 98
  9. 987654
  10. 1111
  11. 111
  12. 444444444
  13. 777777777
  14. 987
  15. 121
  16. 98765
  17. 1111111
  18. 11111
  19. 333
  20. 12345654321
  21. 888
  22. 666666666
  23. 111111
  24. 555555555
  25. 987654321
  26. 555
  27. 333333333
  28. 222
  29. 888888888
  30. 111
  31. 111111111
  32. 666
  33. 111111111
  34. 999
  35. 98765432
  36. 11111111
  37. 333333333
  38. 999999999
  39. 1111
  40. 111

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