**Word Problem** Set: 3

Question |

Directions: Select answer choice or choices.

Check Answer:

1. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

10 | |

8 | |

6 | |

4 | |

2 |

2. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?

18 | |

13.5 | |

9 | |

4.5 | |

3 |

3. Of the following, which is greater than 1/2 ? Indicate ALL such fractions.

2/5 | |

4/7 | |

4/9 | |

5/11 | |

6/13 | |

8/15 | |

9/17 |

4. If an object travels at five feet per second, how many feet does it travel in one hour?

30 | |

300 | |

720 | |

1800 | |

18000 |

5. A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot). Indicate ALL such answers.

17 | |

28 | |

35 | |

39 | |

50 |

6. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

90 | |

95 | |

100 | |

105 | |

110 |

7. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

48 | |

32 | |

24 | |

18 | |

12 |

8. In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

6 | |

15 | |

24 | |

33 | |

54 |

9. (√ 2 -√ 3 )^{2}=

5 - 2√ 6 | |

5 - √ 6 | |

1 - 2√ 6 | |

1 - √ 2 | |

1 |

10. 2^{30} + 2^{30} + 2^{30} + 2^{30} =

8^{120} | |

8^{30} | |

2^{32} | |

2^{30} | |

2^{262} |