Download Exam with 10 Problems - Mathematics Middle School Teachers | MATH 3180 and more Exams Mathematics in PDF only on Docsity! 1 Exam 04 Set D April 28, 2011 Show your work. Provide reasoning for your work. Write your numeric answers and their descriptions in the boxes provided in the lower parts of the pages, e.g., 1a. Surface Area: 40 Sq Units. Each box should contain the question number and part, e.g., 1a. Use only the first box if there is one numeric answer. If there are multiple numeric answers, use the boxes in the right order, moving first from left to right, and then down, starting from left again. If a question asks you to explain or justify something, write the explanations/justifications neatly above the boxes shown. Draw a box around your explanations/justifications. Answers involving decimals should be correct to two decimal places. Failure to write the answers according to the directions provided above will result in deduction of points. Each question is worth 10% of entire exam. The parts of each question are worth the same. Name: ______________________________________________ (Please Print) Question 01 The number of cats in a neighborhood is 12 more than the number of dogs. The ratio of the number of cats to the number of dogs is 5:3. The ratio of the number of cats to the number of fish is 6:7. How many fish are in the neighborhood? Question 02 An airline passenger fell asleep 2/3 way to her destination. When she awoke, the distance remaining was 3/7 of the distance traveled while she slept. How much of the entire trip was she asleep? 2 Question 03 A castle in the faraway land of Aluossim was surrounded by four moats. One day, the castle was attacked and captured by a fierce tribe from the north. Guards were stationed at each bridge. Prince Juan was allowed to take a number of bags of gold from the castle as he went into exile. However, the guard at the first bridge demanded 2/3 of the bags plus 2 more bags. Juan met this demand and proceeded to the next bridge. The guards at the second, third, and fourth bridges made identical demands, all of which the prince met. When Juan finally crossed all the bridges, 3 bags of gold were left. With how many bags did the prince start? Question 04 Rukaya took some balloons to the market. She first sold 2/3 of her remaining balloons plus 1/3 of a balloon to Ann. Then she sold 2/3 of her remaining balloons plus 1/3 of a balloon to Beth. Finally she sold 2/3 of her remaining balloons plus 1/3 of a balloon to Cindy. After Rukaya sold the balloons to Ann, Beth, and Cindy, Rukaya was left with 5 balloons. How many balloons did Rukaya have to begin with?
