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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 923 · 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 × 8 + 5 =
  2. 2.1234 × 9 + 5 =
  3. 3.123 × 9 + 4 =
  4. 4.37 × 18 =
  5. 5.12345679 × 81 =
  6. 6.37 × 12 =
  7. 7.1111 × 1111 =
  8. 8.1234 × 8 + 4 =
  9. 9.12345679 × 54 =
  10. 10.123456 × 9 + 7 =
  11. 11.11 × 11 =
  12. 12.12 × 8 + 2 =
  13. 13.37 × 24 =
  14. 14.123456789 × 8 + 9 =
  15. 15.12345679 × 36 =
  16. 16.12345678 × 8 + 8 =
  17. 17.12345 × 9 + 6 =
  18. 18.12345679 × 63 =
  19. 19.37 × 27 =
  20. 20.37 × 6 =
  21. 21.37 × 15 =
  22. 22.12345679 × 27 =
  23. 23.12345679 × 45 =
  24. 24.1234567 × 8 + 7 =
  25. 25.123 × 8 + 3 =
  26. 26.11111 × 11111 =
  27. 27.12345678 × 9 + 9 =
  28. 28.12345679 × 9 =
  29. 29.37 × 3 =
  30. 30.12345679 × 18 =
  31. 31.111 × 111 =
  32. 32.111111 × 111111 =
  33. 33.1234567 × 9 + 8 =
  34. 34.123456 × 8 + 6 =
  35. 35.37 × 9 =
  36. 36.12 × 8 + 2 =
  37. 37.123456789 × 8 + 9 =
  38. 38.1234567 × 8 + 7 =
  39. 39.12345679 × 72 =
  40. 40.12 × 9 + 3 =

Answer key

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

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