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