CCSD Practice Proficiency Exam Fall 2010

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1 Fall 00. In te diagram elow, line m is parallel to line n. m n 60 x. Brock orrows $,000 from is fater and repays te money after years, plus % simple interest. How muc interest does Brock pay on te loan? A. $00 $00 $,000 $,000 Wat is te value of x? A Multiply. 6 A Te first five terms of a sequence are sown elow. 7 9 Wat is te t term of te sequence? A Te tale elow sows te numers of snacks sold at a concession stand during two different games. Basketall Game Footall Game Item Small Large Small Large Popcorn 6 Nacos Soda 7 6 How many small sodas were sold altogeter? A A four-caracter password consists of one letter from te word MATH, followed y tree digits wic may e,, or. If te digits may e used more tan once, ow many more passwords can e made tan if te numers are used only once? A An inequality is sown elow. x 8 Wat is te solution of te inequality? A. x 8 x x 7 x SD Practice Proficiency Exam Fall 00 Page of 7

2 Fall A large company carted employee asences for te past mont (0 workdays). Te company represented te data in a scatterplot and a istogram. Te carts are sown elow. Numer of Workers Asent Workday Numer 0. Two linear equations are given elow. Equation : x y Equation : xy For wic equation(s) is te point, a solution? A. Equation only. Equation only. Bot equations and. Neiter equation nor. Numer of Workdays Numer of Workers Asent Wat fact is ovious from te scatterplot tat is not ovious from te istogram? A. A typical employee was asent an average of days tis mont. More workers were asent early in tis mont tan late in te mont. On most days tis mont, tere were to workers asent. Next mont, fewer tan workers will proaly e asent on any given day.. Look at te diagram elow. Wat is sin x? A. B Five numers are sown elow. x A 9. Te weigt (w) of a package is measured in ounces. Eac package must e in te range elow < w <.0 Wat is te tolerance for te weigt of te package? A..0 ± 0.0 oz.0 ± 0.0 oz. ± 0.0 oz. ± 0.0 oz Wic is a true statement aout te numers? A SD Practice Proficiency Exam Fall 00 Page of 7

3 Fall 00. In te diagram elow, PR is parallel to SU, and QT is congruent to QU. S Wat is te measure of A STQ?. You uy a lawn mower for $80. You carge $0 to mow a lawn. How many lawns will you ave to mow to pay for te lawn mower plus sow a profit of $60? A. lawns lawns lawns 7 lawns. A donut display case as 6 glazed, cocolate, and sugar donuts. A customer randomly selects donuts, witout replacement. Wat is te proaility of coosing glazed donuts and sugar donut? 6 6 A. P? T Q 0 R U 6. Te ratio of te lengt (L) to widt (w) of a certain uilding is equal to te ratio of te eigt () to girt (g) of a man. Wic equation represents te man s eigt? L A. g w w g L L g w w g L 7. Te Venn diagram elow represents pants wit different caracteristics. Pants wit uttons Pants wit pockets Pants wit pleats Wat is represented y te saded region? A. Pants wit pockets, uttons, and pleats. Pants wit pockets and uttons, ut witout pleats. Pants wit uttons and pleats; some pants may ave pockets. Pants wit pockets and uttons; some pants may ave pleats. SD Practice Proficiency Exam Fall 00 Page of 7

4 Fall Wic spinner, wen spun once, as te igest proaility of landing on te numeral? A.. Wic is te most precise measurement? A.. kilometers. meters. centimeters. millimeters. Te pictograp elow sows te numer of ot everages consumed at a restaurant. Hot Beverage onsumption Hot cider Hot cocolate Tea offee Key = 0 cups consumed How many more cups of coffee tan cups of ot cider were consumed? A Factor. 60 A. xx 6 xx 6 x8x 8 x 8 x 6 0. Wic is te est approximation of 6? A Use te functions elow. f x x gx x Wic elements are in te range of f and also in te range of g? A. All real numers All positive real numers All negative real numers No real numers SD Practice Proficiency Exam Fall 00 Page of 7

5 Fall 00. Look at te grap elow. 6. Te eigts of women aged 8 years can e descried wit a normal distriution. A grap of te distriution is sown elow. Heigts of Women aged 8 68% 9% 99.7% Heigt (in inces) Wat is te slope of te line? A. Based on te grap, wic statement is correct? A. Tere are more women in tis age group taller tan 69. inces tan tere are sorter tan 9. inces. Most women wo are older tan years are taller tan 7 inces. Less tan one-tird of te women in tis age group are taller tan 6. inces. Tere are aout as many women in tis age group sorter tan 6 inces as tere are taller tan 67 inces.. Te figures sown elow are constructed from tootpicks. 7. Look at te figure elow. B Figure Figure Figure A O D Wic expression represents te numer of tootpicks in Figure n? A. n n 6 n n Wat is te measure of AD? A SD Practice Proficiency Exam Fall 00 Page of 7

6 Fall A class as students. Te teacer randomly cooses students to form a line. If te order of selection is important, ow many different lines could e created? A.!!!!!!!! 9. Te tale elow sows Jeremy s montly expenses. Montly Expense Percent of Montly Income Food and loting % Housing and Utilities % Transportation % Healt & Personal are 6% Savings 9% Miscellaneous 7% Jeremy earned $,00 last mont. How muc did e pay for transportation? A. $6 $80 $6 $8. Wat is te measure of an exterior angle of a regular octagon? A Te data elow are te player ratings of memers of a golf team Wat is te interquartile range of te ratings? A Te entertainment center sown elow as a -inc y 0-inc opening for a television. in. 0 in. Television Opening 0. A polynomial is sown elow. x x N Wat value of N makes te polynomial a perfect trinomial square? A A television is measured y te lengt of its diagonal. Wic is te largest television set tat would fit in te opening? A. 6 inces inces 0 inces 6 inces SD Practice Proficiency Exam Fall 00 Page 6 of 7

7 Fall 00. Te tale elow sows favorite foods of students in tree different classes. Burritos Hamurgers Pizza lass lass 7 9 lass 0 9 Wic matrix represents te total numer of students wo favor urritos, amurgers, and pizzas? A Two jos offer different pay packages. Jo A pays an annual salary of $8,000 plus a commission of % of sales (s). Jo B pays an annual salary of $,000 plus a commission of % of sales (s). Wat system of equations would e used to find te amount of sales tat makes te pay (P) for Jo A equal to Jo B? P s A. P s P s P s s P s P. Use te asolute value function elow. y x P s Wat is te range of te function? A. y 0 y y y 6. A student scored 98, 8, and 90 on tree exams tis semester. Tere is one exam remaining. Wat score does te student need to acieve on te last exam to ave an overall mean of 88 on is exams? A Wat property is demonstrated y 0x x 0x x? A. associative commutative distriutive identity 9. Swimming pools X and Y are similar rectangular prisms. Te ratio of te surface area of Pool X to Pool Y is :9. Wat is te capacity of Pool X in terms of te capacity of Pool Y? 8 A. X Y 7 X 7 8 X Y 9 9 X Y Y 0. Tere are 0 cats in a pet sow. A group of cats will e selected as finalists. How many different groups of cats could e finalists? A SD Practice Proficiency Exam Fall 00 Page 7 of 7

8 Formula Seet Note to Student: You may use tese formulas trougout tis entire test. Feel free to use tis Formula Seet as needed during your testing time. Parallelogram Area A= Trapezoid Area A= ( + ) ircle r d Rectangular Solid l w ircumference = πr =πd Volume Surface Area V = lw SA = lw + l + w Area A =πr ylinder r one Pytagorean Teorem a + = c a c Volume V =πr Volume V = πr r Trigonometric Ratios a sin x = c cos x = tan x = Special Rigt Triangles c a c x a Permutations ominations n n n! P k = ( n k)! n! k = k!( n k)! x x 0 x x x 60 x Temperature Formulas 9 F = + = (F ) 9

9 Fall 00 Standards/DOK and Key y Question Questions and Key y Standard/DOK Question Key 006 Standard DOK * B..6 D.. D.. B.. A B B.. A D..6 D.. 6 A A A..6 D.... B.. A.. D.. 6 D B.. 9 D.. 0 D.. B.. A.. B..7 D..7 D.. 6 A.. 7 A..8 8 B.. 9 A Question Key 006 Standard DOK * 0 A..6 A..7 7 A..8 A..6 D D.. D D..6 D.. 6 A B.. 8 B.. D.. D.. B D.. 9 A.. B.. B.. A.. B B A.. 8 B D.. 6 A.. 6 D D.. 8 A.. 8 B.. *Dept of Knowledge (DOK) levels are estimated.

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