Download Sample Problems for Final Exam | Arithmetic and Problem Solving | MATH 5001 and more Exams Mathematics in PDF only on Docsity! MATH 5001 Sample Word Problems for Final Exam 1. At a neighborhood park, 1 3 of the area of the park is to be used for a new playground. Swings will be placed on 1 4 of the area of the play- ground. What fraction of the neighborhood park will the swing area be? Solve this problem in two different ways, and be sure to include a picture. Answer: 1 12 2. At a store, there is a display of 300 cnas of beans. Of the 300 cans, 60% are brand A and 40% are brand B. How many cnas of brand B beans must be removed so that 75% of the remaining cans are brand A? Answer: 60 cans of Brand B must be removed. 3. A pizza parlor offers ten different toppings to choose from. How many ways are there to order a large pizza if double toppings, but not triple toppings or more are allowed? For example, double pepperoni and (single) mushroom is one possibility, as is double pepperoni and double mushroom, but triple pepperoni is not allowed. Notice that you can choose each topping in one of three ways: off, single topping, double topping. Answer: Sorry, I wasn’t thinking straight in class. I made this problem harder than it actually is. For each topping there are three choices: off, single, double. So for topping A I have off, single, double. Then from each of these things with topping B I can have off, single, double again. Con- tinue this way. So there are 3 choices for each of the ten toppings so we have 3× 3× 3× 3× 3× 3× 3× 3× 3× 3 = 310. 4. Ben is making a recipe that calls for 1 3 cup of oil. Ben has a bottle that contains 2 3 cup of oil. Ben does not have any measuring cups. What 1 fraction of the oil in the bottle should Ben use for his recipe? Draw a picture to help you solve the problem and explain your answer. For each fraction in this problem, and in your solution, describe the whole associated with this fraction. In other words, describe what each frac- tion is of. Are all the wholes the same or not? Answer: 1 2 of the bottle. 5. A company has bought 3.4 acres of land out of the 4 acres of land that it plans to buy. What percent of the land has the complany already bought? Answer: 85% 6. The price of a loungy chair increased by 40%. The new price is $489.65. What was the price of the loungy chair before the increase? Answer: $34.9.75 7. A bakery makes four different kinds of cake. Each cake can have three different kinds of frosting. Each frosted cake can be decorated in two different ways. How many ways are there of ordering a decorated, frosted cake? Answer: 24 differend kinds of decorated and frosted cakes 8. If one serving of DietDelight provides 1 3 of your daily value of vitamin C, then what fraction of your daily value of vitamin C is in 3 4 of a serving of DietDelights? Answer: 1 4 of your daily value of vitamin C. 2
