2015 Practice Test #1

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1 Pracice Te # Preliminary SATNaional Meri Scolarip Qualifying Te IMPORTANT REMINDERS A No. pencil i required for e e. Do no ue a mecanical pencil or pen. Saring any queion wi anyone i a violaion of Te Securiy and Fairne policie and may reul in your core being canceled. Ti cover i repreenaive of wa you ll ee on e day. THIS TEST BOOK MUST NOT BE TAKEN FROM THE ROOM. UNAUTHORIZED REPRODUCTION OR USE OF ANY PART OF THIS TEST BOOK IS PROHIBITED. Te College Board. College Board and e acorn logo are regiered rademark of e College Board. PSATNMSQT i a regiered rademark of e College Board and Naional Meri Scolarip Corporaion.

2 Ma Te No Calculaor MINUTES, QUESTIONS Turn o Secion of your anwer ee o anwer e queion in i ecion. For queion -, olve eac problem, cooe e be anwer from e coice provided, and fill in e correponding circle on your anwer ee. For queion -, olve e problem and ener your anwer in e grid on e anwer ee. Pleae refer o e direcion before q u e i o n o n oow ener your anwer in e grid.you may ue any available pace in your e bookle for crac work.. Te ue of a calculaor i no permied.. All variable and expreion ued repreen real number unle oerwie indicaed.. Figure provided in i e are drawn o cale unle oerwie indicaed.. All figure lie in a plane unle oerwie indicaed.. Unle oerwie indicaed, e domain of a given funcion f i e e of all real number x for wic f(x) i a real number. r A = pr C = pr l A = lw w b A = b b c a c = a + b x x x Special Rig Triangle l V = lw w r V = pr r V = pr Te number of degree of arc in a circle i. Te number of radian of arc in a circle i p. Te um of e meaure in degree of e angle of a riangle i. r V = pr w l V = lw Unauorized copying or reue of any par of i page i illegal.

3 A babyier earn $ an our for babyiing cildren and an addiional $ ip wen bo cildren are pu o bed on ime. If e babyier ge e cildren o bed on ime, wa expreion could be ued o deermine ow muc e babyier earned? A) x +, were x i e number of our B) x +, were x i e number of our C) x( + ) +, were x i e number of cildren D) x +(+), were x i e number of cildren ( x + y) = y If (, x y)i a oluion o e equaion above and y, wa i e raio x y? A) B) C) D)... x y = x y = Wic ordered pair (, x y)aifie e yem of equaion above? A) (, ) B) (, ) C), D) (, ) Unauorized copying or reue of any par of i page i illegal.

4 B E D A Noe: Figure no drawn o cale. Triangle ABC above i iocele wi AB = AC and BC =. Te raio of DE o DF i :. Wa i e leng of DC? A) B) C) D) In a cerain game, a player can olve eay or ard puzzle. A player earn poin for olving an eay puzzle and poin for olving a ard puzzle. Tina olved a oal of puzzle playing i game, earning, poin in all. How many ard puzzle did Tina olve? A) B) C) D) F C... x +x = If r and are wo oluion of e equaion above and r >, wic of e following i e value of r? A) B) C) D) To cu a lawn, Allan carge a fee of $ for i equipmen and $. per our pen cuing a lawn. Taylor carge a fee of $ for i equipmen and $. per our pen cuing a lawn. If x repreen e number of our pen cuing a lawn, wa are all e value of x for wic Taylor oal carge i greaer an Allan oal carge? A) x > B) x C) x D) x < Unauorized copying or reue of any par of i page i illegal.

5 n = T Te equaion above i ued o model e relaionip beween e number of cup, n, of o cocolae old per day in a coffee op and e average daily emperaure, T, in degree Farenei. According o e model, wa i e meaning of e in e equaion? A) For every increae of F, one more cup of o cocolae will be old. B) For every decreae of F, one more cup of o cocolae will be old. C) For every increae of F, ree more cup of o cocolae will be old. D) For every decreae of F, ree more cup of o cocolae will be old. A ruck ener a rec of road a drop meer in elevaion for every meer along e leng of e road. Te road i a, meer elevaion were e ruck enered, and e ruck i raveling a meer per econd along e road. Wa i e elevaion of e road, in meer, a e poin were e ruck pae econd afer enering e road? A),. B),. C), D),... If f ( x ) = x+ for all value of x, wa i e value of f ( )? A) B) C) D) Wic of e following i equivalen o ( ) ()? A) B) C) D) Unauorized copying or reue of any par of i page i illegal.

6 p( x) = ( x + x+ ) ( x k) In e polynomial p( x) defined above, k i a conan. If p( x) i diviible by x, wa i e value of k? A) B) C) D)... In e xy-plane, if e parabola wi equaion y = ax + bx + c, were a, b, and c are conan, pae roug e poin (, ), wic of e following mu be rue? A) a b = B) b+ c = C) a+ b+ c = D) a b+ c = Unauorized copying or reue of any par of i page i illegal.

7 Grid in reul. Fracion line Wrie anwer in boxe. F o r q u e i o n, olve e problem and ener your anwer in e grid, a decribed below, on e anwer ee.. Aloug no required, i i uggeed a you wrie your anwer in e boxe a e op of e column o elp you fill in e circle accuraely. You will receive credi only if e circle are filled in correcly.. Mark no more an one circle in any column.. No queion a a negaive anwer.. Some problem may ave more an one correc anwer. In uc cae, grid only one anwer.. Mixed number uc a mu be gridded a. or. (If i enered ino e grid, i will be inerpreed a, no.). Decimal anwer: If you obain a decimal anwer wi more digi an e grid can accommodae, i may be eier rounded or runcaed, bu i mu fill e enire grid. Anwer: Accepable way o grid are: Decimal poin Anwer:.... Anwer: eier poiion i correc DIRECTIONS NOTE: You may ar your anwer in any column, pace permiing. Column you don need o ue ould be lef blank. Unauorized copying or reue of any par of i page i illegal.

8 For wa value of i =? Wa i e value of a if ( a+ ) (a ) =?... If x i no equal o zero, wa i e value of ( x) ( x)? If x i a facor of x bx+ b, were b i a conan, wa i e value of b? STOP If you fini before ime i called, you may ceck your work on i ecion only. Do no urn o any oer ecion. Unauorized copying or reue of any par of i page i illegal.

PSAT/NMSQT PRACTICE ANSWER SHEET SECTION 3 EXAMPLES OF INCOMPLETE MARKS COMPLETE MARK B C D B C D B C D B C D B C D 13 A B C D B C D 11 A B C D B C D

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