Quantitative Literacy Test File - Fall 2019 Exam #1 In exercises #1 - 4, 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.) "Buy a Yugo. It is more popular in Lithuania than any other car." 2.) "Every time I've worn this hat during a test I've gotten a good grade. I'll wear a hat on the final so I'll get a good grade on the final." 3.) "Theodore Kaczynski, Georg Cantor and Kurt Godel were all mathematicians and crazy. Dr. Worth is a mathematician so he must be crazy, too." 4.) "I can't believe you don't support the President's health care plan. You must want all poor people to die." 5.) Draw a Venn diagram to illustrate the following proposition. All fish are dogs and some dogs have fleas. 6.) For each of the following, write "Yes" if it is a proposition (statement) or "No" if it is not. a.) Grab that fish! b.) Arkansas is larger than Rhode Island. c.) It's a beautiful day. d.) Bob is 25 years old and Dave's dog is plaid. e.) Donald Duck is the president. f.) 3 + 9 = 10 and the name of this course is advanced underwater basket weaving. 7.) How many centimeters are there in a mile? Be sure to show the use of units. 8.) 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.) How many psychology majors are in this group? d.) What do we know about student "x?" e.) What do we know about student "y?" 9.) Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Be sure to show the use of units. 10.) Bob weighs 110 kg. In order to participate in a backpacking trip at Philmont Scout Ranch he must weigh no more than 215 pounds. Does he qualify for the hike? If not, how much weight must he lose in order to qualify? Be sure to show the use of units. 11.) A Canadian company is advertising a jacket for $59.99 (Can.). They also list a price of $42.25 (U.S.). Are those prices the same? If not, which one is cheaper? Be sure to show the use of units. 12.) You are planning to carpet your living room which is a rectangle that measures 14 feet x 18 feet. How much will it cost if the carpet you want is $17.99 per square yard. Be sure to show all of your work. 13.) 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 seven of one kind? 14.) There are 10 rectangular tables in a rectangular room. You must set up the tables so there are exactly 3 tables against each wall. 15.) 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.) Calculate (4 x 10-4) x (5.2 x 109) 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.) Do the following. a.) Write 0.0000034 in scientific notation. b.) Write 405,000,000,000 in scientific notation 4.) 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? 5.) Maher-Shalal-Hash-Baz started putting money in a college savings account. He wants to have $108,000 in 18 years when his son will be ready for college. The interest rate of 6.75% 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? 6.) 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 Walmart. Are his results likely to be representative of Arkadelphia? Why or why not? 7.) The price of a sofa was $880. Two weeks ago the price was dropped 10%. This week it was dropped 15%. What is the price now? 8.) You are buying a house. After the down payment, you need to borrow $115,000. You will take out a mortgage to cover the remaining cost of the house. The interest rate for your 30 year mortgage is 3.85%. 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.) In 2019, Bubba is making a salary of $10,179. That is an increase of 8% from his 2018 salary. What was Bubba's 2018 salary? 10.) Bob bought a house worth $112,000. Now, after five years he was told the house's value had gone up 24%. What is the house worth now? 11.) The listed price was $17.99. Tax was 8.25%. What was the total cost? 12.) You put $4500 in a certificate of deposit account for 5 years. It receives 5.25% 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? 13.) 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. 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.