Quantitative Literacy Exam File Spring 2019 Exam #1 In exercises #1 - 5, an argument or advertisement is given. For each exercise, identify one and only one of our fallacies that is exhibited in that argument or advertisement. GIVE A DETAILED EXPLANATION TO JUSTIFY YOUR CHOICE. 1.) The charges of police brutality are absolutely untrue, because the police would never do something like that. 2.) I wore a hat during the last test and made the highest grade I've made all semester. I'll wear a hat on the final so I'll get a good grade on the final. 3.) When Bubba, Jr., the son of Bubba, the proprietor of Bubba's All You Can Stomach Exotic Animal Eatery, was in college, he told a professor "I know the exam is graded based on performance, but you should give me an A. My cat has been sick, my car broke down, and I've had a cold, so it was really hard for me to study!" 4.) "If you care about your grandchildren's future you will support the efforts to stop global warming." 5.) "Bubba Sue is from Alabama. All girls from Alabama have two word first names." 6.) Draw a Venn diagram to illustrate the following proposition. All fish are dogs and some cats are fish. 7.) For each of the following, write "Yes" if it is a proposition (statement) or "No" if it is not. a.) Put away the toaster. b.) Tomorrow is Tuesday. c.) Anchovies on pizza is disgusting. d.) "John Dodge died after being hit in the head by a pitch during a minor league ballgame." e.) "Millard Fillmore was the first president of the United States." 8.) Bubba's All You Can Stomach Exotic Animal Eatery sells a combination salad dressing/paint remover for $15.99 per gallon. What would the price be in pesos per liter? You must show the use of units and conversion factors. 9.) The following Venn diagram illustrates the makeup of a particular group of students. "M" denotes "mathematics major," "P" denotes "plays piano," and "G" denotes "refuses to eat grits." "x" and "y" represent particular students. The numbers represent the number of students who fit the categories. a.) How many students are in the group? b.) How many students are mathematics majors who play the piano? c.) What do we know about student "x?" d.) What do we know about student "y?" 10.) Your living room is 15 feet wide and 18 feet long. If the carpet you want is $23.95 per square yard, how much will it cost to carpet your living room? You must show the use of units and conversion factors. 11.) Tom was driving 20.7 meters per second in a 45 mile per hour zone. Was Tom speeding? You must show the use of units and conversion factors. 12.) Methusaleh was 969 years old when he died. How many seconds old was Methusaleh when he died? You must show the use of units and conversion factors. 13.) How many centimeters are there in a mile? Be sure to show the use of units. 14.) There are 14 blue apples, 12 plaid apples and 5 green apples in a basket. a.) What is the smallest number of apples you would have to take out to be sure of getting at least three of one kind? b.) What is the smallest number of apples you would have to take out to be sure of getting at least four plaid apples? c.) What is the smallest number of apples you would have to take out to be sure of getting at least two blue apples or two plaid apples? 15.) There are 10 rectangular tables in a rectangular room. You must set up the tables so there are exactly 3 tables against each wall. 16.) You have a four minute hourglass and a five minute hourglass. You need to cook something for exactly seven minutes. Give a detailed explanation of how you would use the two hourglasses to time the seven minutes. (Note: You cannot tell by looking if an hourglass is half empty.) Exam #2 1.) Dave is trying to sell his house. It didn't sell for a long time so he dropped his asking price 15%. If the reduced price is $191,675, what was the original price Dave was asking? 2.) The price of a book was $80. Two weeks ago the price was dropped 15%. This week it was dropped 10%. What is the price now? 3.) Bubba was making $260 a week. He got a 7.5% raise. What is he making now? 4.) I'm doing a poll on average income of people in Arkansas. I am considering doing the poll at Wal-mart or Waffle House or the Mercedes Benz dealership in Little Rock. Which of those three would be the best place to do the poll? Why? 5.) The listed price was $37.75. Tax was 7.85%. What was the total cost? 6.) Estimate the total number of slices of pizza eaten in the United States each year. Be sure to clearly state all of your assumptions. 7.) You put $3250 in a certificate of deposit account for 3 years. It receives 4.5% interest compounded quarterly. You neither take out any money nor put in any more money. a.) Without inserting any numbers, write out the formula that will figure out the amount of money you will have after 3 years. b.) Without doing any simplification, insert all of the numbers into the formula. c.) How much money will you have after 3 years? d.) How much interest did you earn? 8.) You start putting money in your retirement fund at age 23. You put in $600 each quarter. The interest of 10.375% is compounded quarterly. You retire at age 65. a.) Without inserting any numbers, write out the formula that will figure out the amount of money you will have when you retire. b.) Without doing any simplification, insert all of the numbers into the formula. c.) How much money will you have at age 65? d.) What is the total of all of your payments? e.) How much interest did your money earn? 9.) You're buying a house. You need to borrow $85,000. You will take out a mortgage to cover the remaining cost of the house. The interest rate for your 30 year mortgage is 4.75% compounded monthly. Throughout the problem we will ignore escrow payments that might be added to the payment for insurance and taxes. a.) WITHOUT SUBSTITUTING IN ANY NUMBERS, write the formula you will use to find the monthly payment on this loan. b.) WITHOUT SIMPLIFYING ANYTHING, insert the correct numbers into the formula. c.) What will be your monthly payment? d.) What will be the total of all of your monthly payments? e.) How much interest will you pay over the life of the loan? 10.) The following chart shows the number of times Bobby Cox was ejected from games from 2002 through 2007. Draw a bar graph plot to illustrate the data. 2002 7 2003 9 2004 5 2005 2 2006 9 2007 5 11.) The following table gives some career statistics for Willie Mays, the best all- around player in baseball history. Year Team G AB R H 2B 3B HR RBI BB SO AVG 1951 Giants 121 464 59 127 22 5 20 68 57 60 .274 1952 Giants 34 127 17 30 2 4 4 23 16 17 .236 1954 Giants 151 565 119 195 33 13 41 110 66 57 .345 1955 Giants 152 580 123 185 18 13 51 127 79 60 .319 1956 Giants 152 578 101 171 27 8 36 84 68 65 .296 1957 Giants 152 585 112 195 26 20 35 97 76 62 .333 1958 Giants 152 600 121 208 33 11 29 96 78 56 .347 1959 Giants 151 575 125 180 43 5 34 104 65 58 .313 1960 Giants 153 595 107 190 29 12 29 103 61 70 .319 1961 Giants 154 572 129 176 32 3 40 123 81 77 .308 1962 Giants 162 621 130 189 36 5 49 141 78 85 .304 1963 Giants 157 596 115 187 32 7 38 103 66 83 .314 1964 Giants 157 578 121 171 21 9 47 111 82 72 .296 1965 Giants 157 558 118 177 21 3 52 112 76 71 .317 1966 Giants 152 552 99 159 29 4 37 103 70 81 .288 1967 Giants 141 486 83 128 22 2 22 70 51 92 .263 1968 Giants 148 498 84 144 20 5 23 79 67 81 .289 1969 Giants 117 403 64 114 17 3 13 58 49 71 .283 1970 Giants 139 478 94 139 15 2 28 83 79 90 .291 1971 Giants 136 417 82 113 24 5 18 61 112 123 .271 1972 Giants 19 49 8 9 2 0 0 3 17 5 .184 1972 Mets 69 195 27 52 9 1 8 19 43 43 .267 1973 Mets 66 209 24 44 10 0 6 25 27 47 .211 a.) What is the most home runs (HR) he hit in one year? What year? b.) In how many years did he have a batting average (AVG) above .300? c.) What is the most consecutive years in which he hit at least 30 home runs (HR)? d.) In how many years did he exceed both 100 runs scored (denoted R) AND runs batted in (denoted RBI)? 12.) The following chart shows the number of all-time wins for the expansion teams from major league baseball through 2008.