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Quantitative Literacy Test File - Fall 2020

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Quantitative Literacy Test File - Fall 2020 Quantitative Literacy Test File - Fall 2020 Exam #1 For each of #1-5, identify one AND ONLY ONE of our logical fallacies that is exhibited. Give a brief explanation for your choice. 1.) When Bubba, Jr., the son of Bubba, the proprietor of Bubba's All You Can Stomach 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!" 2.) "I don't know of any great Lithuanian authors so there must not be any great Lithuanian literature." 3.) "Buy new and improved CRUST™ toothpaste, the toothpaste used by more people than any toothpaste in the country!" 4.) "If we allow unregulated harvesting of our forests then what are we going to do about the increase in abuse of the food stamp program." 5.) "Eighty year old people don't need to go into nursing homes. After all my mother is 85 and she power-walks two miles each day, drives her car (safely), climbs stairs, does crosswords, and reads the daily paper." (adapted from http://www.fallacyfiles.org) 6.) For each of the following, tell whether or not it is a proposition. a.) "Pick up your sister after school." b.) Arkansas is a nicer place to live than Texas. c.) Iowa is the largest state in the United States. d.) All the dogs on my desk are purple. e.) Bob Uecker is the best catcher of all-time. f.) Mickey Mouse was president of the United States in 1998. 7.) Draw a Venn Diagram to illustrate the following categorical proposition. All dogs eat acorns and some dogs ride skateboards. 8.) The following Venn diagram represents how a college class is broken down in the categories of female students (denoted "F"), students from Arkansas (denoted "A") and mathematics majors (denoted "M"). Answer the questions below the diagram. a.) How many students are in the class? b.) How many of the students are mathematics majors from Arkansas? c.) How many female students are in the class? d.) How many psychology majors are in the class? e.) What do we know about student "x?" f.) What do we know about student "y?" 9.) Your living room is 15 feet wide and 18 feet long. What is the area of your living room in square meters? You must show the use of units and conversion factors. 10.) You are driving 100 feet per second. The speed limit is 70 miles per hour. Are you speeding? You must show the use of units and conversion factors. 11.) Methusaleh was 969 years old when he died. How many seconds old was Methusaleh when he died? 12.) Walter Young, at 6-foot-5, 322-pounds, is believed to be the heaviest major league baseball player ever. Convert his weight to kilograms. 13.) You have a basket with apples in it. There are 23 green apples, 14 red apples and 8 plaid apples. You are going to take some apples out of the basket. a.) How many apples must you take out of the basket to be absolutely certain you have removed a matching pair of apples? b.) How many apples must you take out of the basket to be absolutely certain you have removed a matching pair of plaid apples? c.) How many apples must you take out of the basket to be absolutely certain you have removed four apples of the same color? 14.) You have ten rectangular tables in a rectangular room. You must arrange the tables so that there are exactly three tables along each wall. Draw a picture to show how you could do this. 15.) Seventy-five people ate dinner at "Billy Bob's All You Can Stomach Exotic Animal Eatery" last night. Sixty-five of them ate squid. Fifty-three of them ate platypus. Forty-eight of them ate earthworm cookies. What is the fewest number of people who must have eaten all three of squid, platypus and earthworm cookies? Exam #2 1.) Calculate (5 x 10-8) x (4.2 x 1012) without using your calculator. Be careful to show ALL of your work and express your final answer in scientific notation. 2.) Estimate the total number of slices of bread eaten each year in the United States. Be sure to clearly state all of your assumptions. 3.) Consider the following question. How do doctors' salaries compare to lawyers' salaries? Which type of study (experimental, observational, double-blind) would best answer the question? Give a reason for your answer. 4.) Do the following. a.) Write 0.00000034 in scientific notation. b.) Write 45,000,000,000 in scientific notation 5.) You start putting money in your retirement fund at age 23. You put in $500 each month. The interest of 10.15% is compounded monthly. 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? 6.) Maher-Shalal-Hash-Baz started putting money in a college savings account. He wants to have $120,000 in 18 years when his son will be ready for college. The interest rate of 7.5% is compounded quarterly. a.) Without inserting any numbers, write out the formula that will figure out the amount of money Maher-Shalal-Hash-Baz will have to put in the account each quarter. b.) Without doing any simplification, insert all of the numbers into the formula. c.) How much money will he have to pay each quarter? d.) What is the total of all of his payments? 7.) A person is interested in finding out the average income of people in Arkadelphia. In order to do that, he does a survey by asking the annual income of Arkadelphia residents who are shopping at the local Waffle House. Are his results likely to be representative of Arkadelphia? Why or why not? 8.) You are buying a house. After the down payment, you need to borrow $105,000. You will take out a mortgage to cover the remaining cost of the house. The interest rate for your 30 year mortgage is 4.15%, 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? 9.) The price of a sofa was $780. Two weeks ago the price was dropped 15%. This week it was dropped 10%. What is the price now? 10.) In 2004, Bobby Abreu of the Philadelphia Phillies made a salary of $10,600,000. That was an increase of 16.4835% from his 2003 salary. What was Abreu's 2003 salary? (data from http://www.businessofbaseball.com/) 11.) Bob bought a house worth $120,000. Now, after five years he was told the house's value had gone up 26%. What is the house worth now? 12.) The listed price was $14.95. Tax of 8.25% was added on. What was the total cost? 13.) You put $2500 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? Exam #3 1.) The following chart shows the number of runs scored by pitcher Bobo Newsom in his first six full seasons in the major leagues. Draw a bar graph to illustrate this data. Year Runs 1934 6 1935 6 1936 11 1937 11 1938 9 1939 6 1940 9 2.) The following chart shows the breakdown of number of games won by the pitchers on the 1916 Philadelphia Athletics. The team won a total of 36 games. a.) Who won the most games for the 1916 Athletics? b.) How many games did Elmer Myers win? c.) Add up the seven percentages. Explain why they don't add up to 100%. d.) How many games did Socks Seibold lose for the 1916 Athletics? 3.) The following chart gives the career statistics for Dode Paskert. Year Team Lg G AB R H 2B 3B HR RBI BA OBP SLG 1907 CIN NL 16 50 10 14 4 0 1 8 .280 .333 .420 1908 CIN NL 118 395 40 96 14 4 1 36 .243 .298 .306 1909 CIN NL 104 322 49 81 7 4 0 33 .252 .327 .298 1910 CIN NL 144 506 63 152 21 5 2 46 .300 .389 .374 1911 PHI NL 153 560 96 153 18 5 4 47 .273 .358 .345 1912 PHI NL 145 540 102 170 37 5 2 43 .315 .420 .413 1913 PHI NL 124 454 83 119 21 9 4 29 .262 .358 .374 1914 PHI NL 132 451 59 119 25 6 3 44 .264 .349 .366 1915 PHI NL 109 328 51 80 17 4 3 39 .244 .319 .348 1916 PHI NL 149 555 82 155 30 7 8 46 .279 .346 .402 1917 PHI NL 141 546 78 137 27 11 4 43 .251 .331 .363 1918 CHC NL 127 461 69 132 24 3 3 59 .286 .362 .371 1919 CHC NL 88 270 21 53 11 3 2 29 .196 .274 .281 1920 CHC NL 139 487 57 136 22 10 5 71 .279 .366 .396 1921 CIN NL 27 92 8 16 1 1 0 4 .174 .208 .207 totals 1716 6017 868 1613 279 77 42 577 .268 .350 .361 a.) "Doubles" is denoted by "2B." In how many years did Paskert have more than 25 doubles? b.) "Batting average" is denoted by "BA." What was Paskert's highest batting average? c.) "Runs scored" is denoted by "R" and "Runs batted in" is denoted by "RBI." In how many seasons did Paskert have more runs batted in than runs scored? d.) "Slugging Percentage" is denoted by "SLG." In how many seasons did Pakert have a slugging percentage higher than .380? e.) "Triples" is denoted by "3B." How many triples did Ty Cobb have in 1920? 4.) The following chart gives the career home runs for nine different players.
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