Exam_01_Form_P - Mahoney Exam 01 Name:...

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Unformatted text preview: Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ Print your full name and UFID # at the top of the page. You will have 50 minutes [possibly extra if the next class isn’t busting down the door] to complete this exam. When you receive this exam, tear off this page. You will only turn in this page, unless stated otherwise. You may write on any part of your exam. The back two pages may be used as scratch paper. You may use a 4‐function calculator or your phone’s 4‐function calculator feature on this exam. You may keep your exam. You must sign the honesty statement at the bottom of the page. Good Luck! Fill‐In The Blank [2 points each.] 1. 7. 2. 8. 3. 9. 4. 10. 5. 11. 6. 12. Multiple Choice [3 points each.] 1. 7. 2. 8. 3. 9. 4. 10. 5. 11. 6. 12. Honor Statement: "On my honor, I have neither given nor received unauthorized aid in doing this assignment." Signature: ________________________________________ Form P, Page 1 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ Fill‐in the Blank 2 points each Compliment Compliment … Relative to Compound Statement Conjunction Counting Principal Egyptian System Word Bank Finite Hindu‐Arabic System Logically Equivalent Logical Quantifiers Master Diagram Numeration System Proper Subset Tally System Tautology Tree Diagram Uncountably Infinite Venn Diagrams 1. A _________________ statement is formed by combining other statements. 2. _________________ is the logical connective which uses the word “And” and the symbol “ ”. 3. Two statements are _________________ if they have the same truth values for all cases. 4. A _________________ is a statement that is true in all cases. 5. We can represent sets with circle drawings called _________________. 6. If we were to count by hand the elements of a _________________ set, we would eventually stop. 7. A set is said to be _________________ if it is not equivalent to or any of its subsets. 8. The _________________ is a powerful mathematical idea which states that the total number of choices made over multiple stages is the product of the number of choices at each stage. 9. The _________________ of a set, say A, is the set consisting of all members that are not in A but in U. 10. The _________________ of a set, say A, _________________ to another set, say B, is the set consisting of all members that are not in A but in B. 11. A _________________ is a collection of properties and symbols agreed upon to represent numbers systematically. 12. The _________________ is a system of numbers featuring an additive property and symbols tally, heel bone, rope, lily, finger, frog, and “wowed” man. It does not use place values. Form P, Page 2 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ Multiple Choice Section 3 points each 1. If p is false and q is true, find the truth values for each of the following: : :~ Both are True a. is True but b. is false is False but c. is true Both are False d. 2. Letting r stand for “The food is good”, p stand for “I eat too much,” and q stand for “I’ll exercise,” write the following in symbolic form. If the food is not good, I won’t eat too much. ~ a. b. ~ ~ c. ~ ~ d. ~ 3. Construct a truth table for the statement. ~~q a. s b. c. d. Form P, Page 3 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ 4. Restate in a logically equivalent form. It is not true that today I both went to school and read a book. a. Today, I did not read a book and did not go to school. b. Today, I read a book but did not go to school. c. Today, I went to school and read a book. d. Today, I either did not go to school or I did not read a book. 5. a. c. 6. Determine the validity of the arguments. A B Football and studying don’t mix. Not all that glitters is gold. Don is a football player. My ring glitters. Therefore, Don does not study. Therefore, my ring is not gold. Both are Valid. A is Valid but B is Invalid. b. Both are Invalid. A is Invalid but B is Valid. d. How many of the following statements are true? 2 2, 12, 17 0 2 2 12 12 a. 0 1 b. 2 c. 7. Let , and ,, . What is a. , b. 0 c. ,, d. Form P, Page 4 of 10 d. 3 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ 8. Suppose P is the set of all students at Central High School, with A the set of all students on the football team and B the set of all students in the military cadets. Identify in words the students described by region (y) of the following figure. a. All students at Central High who are on the football team and are not in military cadets. b. All students at Central High who are on the football team and in the military cadets. c. All students at Central High who are not on the football team but are in the military cadets. d. All students at Central High who are not on the football team and are not in the military cadets. 9. Of the 40 eighth graders at the Paxton School, 12 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer. How many played one or more of the three sports? 17 a. b. 23 c. 31 d. 38 10. For each of the following, determine which numeral represents the greater number by choosing the Left side or the Right side as the greater side. A B a. Left is Greater in Both. b. Left is Greater in A but Right is greater in B. c. Right is Greater in A but Left is greater in B. d. Form P, Page 5 of 10 Right is greater in both. Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ 11. Rewrite the following as a base‐10 numeral. 5 10 3 10 7 10 a. 357 b. 43,200 c. 35,700 d. 11,101,111 12. Find the value of and given that… 3 six 21ten 3 7eleven 425ten 3, 3 b. 3, 5 5, a. 3 d. 5, 5 c. Form P, Page 6 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ Reference Sheet: I IV V IX X XL L 1 4 5 9 10 40 50 Roman Numerals XC C CD D CM M 90 100 400 500 900 1000 Form P, Page 7 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ This Page is intended as Scratch Paper Form P, Page 8 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ This Page is intended as Scratch Paper Form P, Page 9 of 10 Mahoney Exam 01 Name: _____________________________ MAE3811 – Spring 2010 – UF UF ID: ___ ___ ___ ___ – ___ ___ ___ ___ This Page is intended as Scratch Paper Form P, Page 10 of 10 ...
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