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Sample:
Name _____________________________
Date _______________

Australia, Russia, Germany, Italy, South Korea, and China were awarded gold (6, 7, 2, 4, 8, and 3), silver (9, 8, 11, 7, 6, and 3), and bronze (6, 10, 9, 11, 4, and 5) medals. Figure out how many of each type of medals were won by each of the six countries.

For example, country x may have won 6 gold, 11 silver, and 10 bronze medals. However, if country x won 6 gold medals, that means country z did not win 6 gold medals. Instead, country z may have won 7 gold medals.

Use the clues to figure out the number of medals awarded to each country.


1.    South Korea won either six or seven gold medals.

2.    Russia won more silver medals than gold medals. Russia also won more silver medals than bronze medals.

3.    Australia won a total of fourteen medals.

4.    Russia won fewer than six gold medals.

5.    China won either five or ten bronze medals.

6.    Germany won either six or seven gold medals.

7.    Australia won more silver medals than gold medals. Australia also won more silver medals than bronze medals.

8.    One country won three silver medals. The same country also won three gold medals.

9.    One country won eight silver medals. The same country also won eight gold medals.

10.    Russia won fewer than seven gold medals.

11.    One country won an odd number of bronze medals and nine silver medals.

12.    South Korea won either six or seven silver medals.

13.    One country won six silver medals. The same country also won six gold medals.

14.    China won a total of twenty-four medals.

15.    China won the most gold medals.

16.    Italy won fewer than nine silver medals.

17.    One country won an odd number of bronze medals and seven silver medals.

18.    Italy won three bronze medals in badminton as well as two bronze medals in diving.

19.    South Korea won a total of eighteen medals.

20.    Russia won either five or six bronze medals.

21.    Italy won a total of sixteen medals.

22.    Russia won either three or eleven silver medals.

23.    Germany won either nine or eleven bronze medals.

24.    Germany won more bronze medals than silver medals. Germany also won more bronze medals than gold medals.

25.    Australia won the fewest gold medals.

26.    China won more bronze medals than silver medals. China also won more bronze medals than gold medals.