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WednesdayOctober 14, 2015Math TestsPSAT/NMSQT Preliminary SAT/National Merit Scholarship Qualifying TestPrelimimiry SAT/National Merit Scholarship Qualifying Testcosponsored by6V CollegeBoardI . NATIONAL MERITSCHOLARSHIP CORPORATIONSKPT04THIS TEST BOOK MUST NOT BE TAKEN FROM THE ROOM. UNAUTHORIZEDREPRODUCTION OR USE OF ANY PART OF THIS TEST BOOK IS PROHIBITED.I) 20l5The College Board. College Board and the acorn logo are registered trademarks ofthe College Board. The corporate tamp oflearning" logo Is a federally registered service mark of National Merit Scholarship Corporation. PSAT/NMSQT Is a registered trademark·of the College Board and National Merit Scholarship Corporation. 11111 1 1111111111783334
31ll.Math Test - No Calculator25 MINUTES, 17 QUESTIONSTurn to Section 3 of your answer sheet to answer the questions In this sedlon.For questions 1-13, solve each problem, choose the best answer from the choices provided,and fill in the corresponding circle on your answer sheet. For questions 14-17, solve theproblem and enter your answer In the grid on the answer sheet. Please refer to thedirections before question 14 on how to enter your ansWers In the grid. You may use anyavailable space in your test booklet for saatch work.,,. ,.,1. The use of a calculator is not permitted.2. All variables and expressions used represent real numbers unless otherwise indicated.3. Figures provided in this test are drawn to scale unless otherwise indicated.4. All figures lie in a plane unless otherwise indicated.5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x forwhich f(x) is a real number.Gs b djxx.J3f.CJwA rrr 20bA !bhA f.w2C 2rrrEJ?whf.V f.wh45 sash,2 a2@ 2v irrrJ3V rrr h blSpecial Right Triangles V !rrr 2h3e1V -fwh3The number of degrees of arc In a circle is 360.The number of radians of arc in a circle is 2Jr.The sum of the measures In degrees of the angles of a trl ngle Is 180.Unauthorized copying or reuse of any part of this j»ge Is Illegal.32CONTINUE
.3·1'g' '{." -':I--,' . , ,·,., 55-x 7 12--x612What is the value of x in the equation above?A) 4!iIliB) 12 C) 7512i.I D) 22815I During a file transfer, a computer sends on average340 kilobytes of data per second. A file bas a size of1.2 megabytes. Which function can be used toestimate how many kilobytes, B(t), remain to be sentafter t seconds?( 1 megabyte is approximately equal to1,000 kilobytes.) 1,200- 340tB(t) 340- 1,200tA) B(t)B)C) B(t) 1.2 - 0.34tD) B(t). 0.34- 1.2ti Which of the following is equivalent to theexpression x 2y x 2xy 2 ?What are the solutions to th equation2x 2 -72 0?A) xy(x 2 y)A)-JfiandB)fiiand2JfiB) (x y)(x 2)JfiI 2C) (xy l)(x 2)D) x(xy 1) 2x(y 1);C) -36 and 36ID) -6 and6IIr iUnauthorlzectcopytng or of any part of thl5 page Is Illegal.33CONTINUE
IL .',( ' '.:-,!i.I ' ' .Which of the following values is a solution ofyiIIII-(Sx-6) X?3A) 6B) 4C) 3D) 23 4I5!I!iWhich of the following could be an equation for thegraph shown in the xy-J?lane above?l!:A) y x(x 3)(x- 2) C)I(x- 3)(x- I)- 8Which of the following is equivalent to theexpression above?B) y x(x 2)(x- 3) !i!y x 2(x 3)(x- 2)D) y x 2(x 2)(x- 3):A) (x-2)2 - 8B) x 2 -3x-x-llC) (x- S){x 1)D) {x-I)(x S)j IiiI::. iI i!I!IIUnauthoriZed copying or reuse of any part of this page Is IUegal.34CONTINUE
'h;t5x 4y 12For x 0, which of the following is equivalent1The graph of the equation above in the xy-plane is aline, l. Line l intersects line m at point ( 2, .to "'"'t,.-----,1,.-- ?· - -4x x 2J.Which of the following could be an equation ofA)4x2 Bx5x 2line m ?B)A) 2x !.2B) 2y5x 24x 2 BxC) 4x 2 8x 3 -XD) Sx 2C) 2x 4y 85D) y 4--x4Ill:If if;4 if;; a"for all values of a, what is thevalue of n ?The function f is defined by j(x) Ix- 21- 3. Iff(a) /(0) and a 0, what is the value of a ?A)A) 3B)B) 481534C) 5!:-)D) 62215D) 114UnauthoriZed copying or reuse of any part of this page Is Illegal.35ICONTINU·E
31 0.06(a- m)C 57,740- l,l58nA state legislature is considering a new state incometax proposal. The equation above, where a m,gives the proposed amount of income tax, t dollars,based on a dollars, the amount of income, andm dollars, the maximum nontaxable income. Basedon the equation, if there is a tax of 300 on 30,000 ofincome, whatls the maximum nontaxable income?The equation above estimates the total number ofnewspapers, C; in thousands, that were sold in theUnited States in the nth year after the year 2000. Thenumber 1,158 in the equation above gives which ofthe following estimates?tA) Every yeat the circulation decreases by1,158 newspapers.B) Every year the circulation decreases by1,158,000 newspapers.C) For every decrease of 1,158 newspapers, there are57,740 fewer readers.D) For every decrease of 1,158,000 newspapers,there are 57,740 fewer readers. 1,500B) 1,782C) 5,000D) 25,000A)Unauthorized copying or nwse alany part of this p ge Is Illegal.36CONTINUE
II.-7Answer: 12lni;IDiuifW .For questions 14-17, solve the problem andenter your answer in the grid, as describedbelow, on the answer sheet.1. Although not required, It Is suggested thatyou write your answer In the boxes at the topof the columns to help you fill in the circlesaccurately. You will receive credit only if thecircles are filled In correctly.2. Mark no more than one circle In any column.3. No question has a negative answer.4. Some problems may have more than onecorrect answer. In such cases, grid only oneanswer.Write- answerin boxes.5Q;lI' f'F;E I @ · fJ f@.·mps. .Q@)·!( a @;W '(!!Jj ;. ! Fractionline. CD D D (6) a @ @@ @ CD(6)grid, It will be interpreted as 3; , not 3 .) "tiilli ; t6. Decimal answers: If you obtain a decimalanswer with more digits than the grid canaccommodate, it may be either rounded ortruncated, but it must fill the entire grid.'' CD D D CD Q) (6) (j) (l) (J) (l)f are:.6 6 6 .6 6 7i :l) l . l 5·1:1 m'I).:! @) (1l @@@ ' ,' . I -.l ip:f' CD CD CD CD(6) a Q) @ @ @ @) @ cv cv cv cv(J) (J) Q)"'·-: : @@@ @@ Decimalpoint @@ Acceptable ways to grid2 I 3!\\1 Q), f));E-CD @@ ' '. ··',- --1 @ @ 'i."1. D D f4[ (l) (l) Q) @ as 35 or 7/2. (If 3 1 1 2 is entered into the{iJ,·- ·'di!:"5. Mixed numbers such as 3 must be griddedM""'27 I 1 2'1{.-:'·. . (.!Grid Inresult.Answer: 2.5 ":";"' ilp:-,,.r : : i CD CD CD CD(6) a a @ @) @ @) cv . ' (J) (J) (!).-;:;-. ;.--.7-"- r; ··Answer: 201 -either position Is correct201Unauthorized copying or reuse of any part af this page Is Illegal37NOTE: Youmay start youranswers in anycolumn, spacepermitting.Columns youdon't need touse should beleft blank. CONTIKJUE
'hit- AIt!!IiEBx y ISx- y 23If (x, y) is a solution to the system of equationsabove, what is the value of x ? iiFI!i In the figure above, line segments AF and BE areperpendicular and intersect at point C. Angle B iscongruent to angle E, and the measure of angle A is55 . What is the measure, in degrees, of angle E ?(Disregard the degree sign when gridding youranswer.)Iiill!I!:II!I!!!!1IIl!Unauthorized copying or reuse of any part of this page Is illegal.38CONTINUE
.B:If a and b are positive numbers such that 2b 3a,.a bwhat 1s the value of -b- ?IIA publishing company ships hard-cover textbooksin boxes that weigh 56 pounds each, and soft-coverworkbooks in boxes that weigh 35 pounds each.A shipment going to several schools weighs2604 pounds totaJ and contains 60 boxes. How manyboxes of soft-cover workbooks are in the shipment?IIiji !]II:I1l! :!.i;ii! STOP\f you finish before time is called, you may check your work on this section only.Do not turn to any other section.Unautllorlzed copying or reuse of any part of lhls page Is Illegal39
'I41 4· .'''''.- . .c-.1Math Test - Calculator45 MINUTES, 31 QUESTIONSTum to Section 4 of your answer sheet to answer the questions In this sedlon.'""Iii"''""For questions 1·27, solve each problem, choose the best answer from the choicesprovided, and fill in the corresponding circle on your answer sheet. For questlo-:»s 28-31,solve the problem and enter your answer in the grid on the answer sheet. Please referto the directions before question 28 on how to enter your answers In the grid. You mayuse any available space In your test booklet for scratch work.IU.iiij1. The use of a calculator is permitted.2. All variables and expressions used represent real numbers unless otherwiseindicated.3. Figures provided in this test are drawn to scale unless otherwise indicated.4. All figures lie in a plane unless otherwise indicated.5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x forwhich f(x) Is a real number. ;1\lh;liifAIGA 1tr2I!CJw b ba1A l!wA 2bhc2 a2 b2C 2Jrr hI!V lwhE}@V tr 2hv ,11tr3n· · 43The number of degrees of arc In a circle Is 360.The number of radians of arc in a circle Is 'br.The sum of the measures In degrees of the angles of a triangle is 180.Unauthorized copying or reuse of any part of this page I Illegal.40045"sX Special Right TriangleslV ! h31V -lwh3
-,14'!I./,I.LJ' --;', ::,:·L, 'i. ' -lI,i A pharmacist filled 5 prescriptions in 20 minutes. Atthis rate, how many prescriptions would thepharmacist expect to fill in 2 hours?-Night crawlers, a type of worm, are capable ofdigging to a depth of 6.5 feet below the ground.Approximately how deep below the ground are theycapable of digging, in meters? (1 meter 3.28 feet)A) 15B) 25A)0.50C) 30B)1.98D) 35C)3.22D) 21.32 -Whi h of the following is equivalent to 3(x 5) - 6 ?A) Jx- 3B) 3x-l 0Which of the following is a value of x that satisfiesthe equation above?C) 3x 9D) 15x- 6Unauthorlzi!d copying or reuse of any part of this page Is Jllegal2(x 2) -9A) -5B) -241C)5D)7CONTINUE
14A medical research study tracked the heart rate, inbeats per minute, of a participant engaged in varioustypes of exercise. The data are graphed on the set ofaxes below with the time elapsed during theobservation on the x-axis and the participant's heartrate on they-axis.If 6x 25, what is th.e value ofIyet:512C) 13-220 200::s.5 180160tQ., 14021 120 100,.Q';;' 80 -.::: "'1! 60 A) 536B)Data from ExerciseStudy Participant3(x i) ?D) 144020 -- --4--- --- ---4---- x10203040so·60Time elapsed (minutes)Based on the graph, which statement is true?A) The participant's maximum heart rate in the first20 minutes of the observation is about 120 beatsper minute.B) The participant's minimum heart rate is reachedabout 50 minutes after the observation begins.C) The participant's heart rate steadily increasesbetween 25 and 40 minutes during theobservation.D) The participant's resting heart rate is given bythe x-intercept ofthe graph.Unauthorized copying or reuse of any part of this page Is Illegal42CONTINUE
1·4.· '. .- .,.----------------·---------------Questions 7·9 refer to the following Information. ; . .FineMath History Science 812017161303154250. :.If the sample is representative of a high school with2,000 freshmen arid seniors, then based on the table,what is the predicted number of freshmen at the highschool who would select math as their favorite highschool subject?Favorite High School SubjectsEnglish.· . .A) 520B) 240C)D)6530The table above lists the results of a survey of a randomsample of250 high school seniors and freshmen. Eachstudent selected one subject that was his or her favorite.How many freshmen selected English, math, orscience as their favorite high school subject?If one of the seniors from the sample is selected atrandom, which of the following is closest to theprobability the student selected science as his or herfavorite igh school subject?A) 31B) 64C) 77A) 0.48D) 93B) 0.26C) 0.32D) 0.15---------------·---------------UnauthoriZed copying or reuse of any part of this page Is Illegal.43"CONTINUE
I. 441.---------------·--------------Questions 10 and 11 refer to the followingThe total amount Thad paid for water bottles andcookies was 45. If the combined cost of one waterbottle and one cookie is 2, what is the cost of onecookie?Information.Thad ordered lunch for a meeting; his bill is shownbelow.Order Details17 Sandwiches4 Salads21 Water bottles25 CookiesDelivery Fee 19.46Grand Total 149.21A) 0.75B) 0.91C) 1.09D) 1.25The delivery fee is calcuJated as a percentage of the cost ofThad's order. The grand total is the sum of the cost ofThad's order and the delivery fee.What percentage of the cost of Thad's order was usedto calcuJate the delivery fee?A) 10%B) 15%C) 19%D) 29%-Unauthorlled copying or reuse of any part Qf this page Is lllegztl.44- -, CONTINUE
41Iii.--Martin spent 855 on expenses for a trip. Theexpenses included hotel, rental car, and meals. Hespent 50 percent more for the hotel than for therental car and meals combined. What did Martinspend on his hotel?.''A tank is completely filled with water. A piunp isused to drain the tank. The amount of waterremaining in the tank is given by the equationy 600 - 25x, where x is the number of minutessince the pump started and y is the volume, ingallons, of water remaining in the tank. In theequation, what are the meanings of the numbers 25and600?A) 570B) 513C) 214D) 155A) The number 25 is the number of minutes it willtake to drain the tank, which holds 600 gallons ofwater.B) The number 25 is the rate of increase, in gallonsper minute, of the flow from the tank, whichholds 600 gallons of water.C) The number 25 is the rate of increase, in gallonsper minute, in the volume of water in the tank,which started at 600 gallons.D) The number 25 is the rate of decrease, in gallonsper minute, in the volume of water in the tank,which started at 600 gallons.-Unaulhor!Nd copying or reuse of any part of this page Is IllegaL45- --CONTINUE
-------------------Questions 14 and 15 refer to the following Information.The director of an art museum collected data on visitors who purchased tickets to themuseum. Each visitor is required to purchase a ticket for admission to the museum andmust purchase a new ticket for each visit. The cost of tickets did not change during theyear. The director collected the data shown below over one year.Stayed upto fourhoursStayed morethan fourhoursTota1ticketspurchasedTotal moneyearned fromtickets( )RepeatvisitorsCbUdrenyounger than .fourteen7,3815,86313,24486,0862,913Ma1esofage fourteenor older7,6409,95117,591158,3196,787Fema1esofage fourteenor 8407,69218,622Total What was the cost of one ticket for a child youngerthan fourteen?Based on the table, what is the approximateprobability that a visitor Will stay for more thanfour hours, if the visitor is fourteen or older?A) 0.15B) 6.50A) 0.46C) 8.30B) 0.51D) 11.65C) 0.54D) 0.57UnauthoriZed copying or reuse of any part of this page Is Illegal.46
1441 Illy x-4Books Read in One Week4x-4y 12.10The system of equations above consists of twoequations, and the graph of each equation in thexy-plane is a line. Which ofthe following statementsis true about these two ·lines?A) The lines are parallel.B) The lines are the same.C) The lines are perpendicular.D) Thelinesintersectat (-4,-3).Number of books readThe histogram above shows the distribution of thenumber of books read by 25 college students duringone week. Which of the following is true for thisgroup of25 students?I. The mean number of books read is equalto the median number of books read.II. The mode number of books read is equalto the median number of books readIll. The range of the number of booksread is 6.A) land II onlyB) I and Ill onlyC) II and III onlyD) I, II, and III Unaulhortzed copying or reuse of any part of this page Is Illegal.47--C 0 1\1 T f'N,ll E-
'ii41('.,1Luis bought two movies at his local store. Theregular price for each movie was r dollars. The storecharged Luis the regular price for the first movie andgave him a 25 percent discount on the secon movie.He was charged 8 percent sales tax on the entirepurchase. Which of the following expressions givesthe total, in dollars, Luis paid, including sales tax?2K -mv2The kinetic energy of an object in motion can becalculated using the formula above, where K is thekinetic energy of the object in joules, m is the massof the object in kilograms, and v is the speed of theobject in meters per second. Which of the followingis equivalent to one joule? (Assume the object ismoving at a constant speed without friction.)A) The kinetic energy of an object With a mass of1 kilogram moving at 2 meters per secondB) The kinetic energy of an object with a mass of1 kilogram moving at 1 meter per secondC) The kinetic energy of an object with a mass of1 kilogram moving at 0.5 kilometer per hourD) The kinetic energy of an object with a mass of2 kilograms moving at 1 meter per secondUnauthorized copying or reuse of any part of this page Is Illegal.A)1.08r 0.75rB)1.08(2(0.75r))C) l.OS(r 0.75r)D) l.OS(r- 0.25r)48CONTINUE
14 41 .Ill'yTypes of seats Percent of seatsBalcony35%Lower level50%Luxury suite5%Orchestra10%The table above shows the distribution of the fo types of seats in a theater. If there are 180 morelower-level seats than balcony seats, how many seatsare in the theater?A)360B)515The graph of y f(x) is shown in the xy-planeabove. If g(x) 1/(x)j, which of the followinggraphs best represents the graph of y g(x} ?A)yB)yC)yD)y800D) 1,200C)Un uthorlzed copying or reuw of any part of this page Is Illegal49CONTINl:JI :
1.,:·4··. I.:·. -. .---,A gasoline with an octane rating of n is a mixturethat contains n% octane. Two different types ofgasoline, type.A and type B, have octane ratings of79and 93, respectively. Joe wants to make a blend of nomore than 5 gallons from the two types of gasolinethat has an octane rating of at least 86. Let x be thequantity of type A gasoline, in gallons, and y be thequantity of type B gasoline, in gallons, in the blend.Which of the following systems represents all theconstraints that x and y must satisfy?A} : !D) ''IliI:ji!:::579x 93y 86!: : 579x 93y 2: 86(x y)[ :a:,-- 2:86x ySA iIC)41 L.iII4( s;) x2The formula above can be used to calculate the totalsurface area of the right square pyramid shown,where x 'is the· length of a side of the square base,and s is the slant height of a lateral face. What mustthe expression 2xs represent?A)B)C)D}The sum of the areas of the lateral facesThe area of one lateral faceThe area of the baseThe area of the base and one lateral faceIi I'iI l I!IUnauthorized copying or reuse of any part of this pagl! Is Illegal.50CONTINUE
'III4I.· ··-.·. . ·'.'',I·· l ,. ···The resale value of a car is expected to decrease by IS percent from one year to the next from the yearthe car is purchased. What type of relationshipshould be expected between the age of a car and theresale value?BA) Linear relationship whose graph has a positiveslopeB) Linear relationship whose graph has a negativeslopeC) Quadratic relationship in which higher resalevalues of a car correspond to lower age values ofthecaeD) Exponential relationship in which lower resalevalues of a car correspond to higher age values ofthe earNote: Figure not drawn to scale.ln the right triangle ABC above, BE 5, and 12. If the length of AC is 1 unit more thantwice the length of DE, what is the length of DE ?AB1A) 25B) 2C) 3D) 4Unauthoriled copying or reuse of any part of this page Is illegal.51CONTINUE
·.II',4.·1I,'.'. .'· -,:7,000-r-----------6,000 -----.::;oF"":'"""-------Which of the following is an equivalent form of theexpression (2x-2)2 - (2x-2)? 5,000 ---.-. -- ----'-- 4,000 -- '------ --- 3,ooo ---.,"--------T----A) 2x-2;a B) 2x 2 -6x 62,000- -- ------ .--T---C) 4x 2 -10x 2l,OOO -------- a. -D) (2x-3)(2x-2)10 20 30 40 50 60 70 80 90Item price (dollars)A company test-marketed an item at different pricesin a region of the country. The scatterplot aboveshows the item prices and the profit made by thecompany when the it m was sold at the differentitem prices. A quadratic model that best fits the datais also shown. For a price of 60, which of thefollowing best approximates the percent increasefrom the test-market profit to the profit that themodel predicts?A)50%B)75%C) 100%D) 200%Unauthorized copying or reuse of any part of this page Is Illegal.52CONTINUE
1'4'','.4 -1.· I- ·-·c I';:. ' "II'.''7Answer: 12I.JI;IdimffjFor questions 28-31, solve the problem· and enter your answer in the grid, as describedbelow, on the answer sheet.Write Answer: 2.57 I 1 2answerin boxes'@)'Gl ! ·, :Q' r\ii --·:. ' ijjj .:r·.: - t :. . 'if2 Fractionline1. Although not required, it is suggested thatyou write your answer in the boxes at the topof the columns to help you fill In the circlesaccurately. You will receive credit only if thecircles are filled in correctly.2. Mark no more than one circle in any column.3. No question has a negative answer.4. Some problems may have more than onecorrect answer. In such cases, grid only oneanswer.as 3.5 or 7/2. (If.Jt @ @ @ @) @)@d, f are:.66 6 :.i& 6. Decimal answers: If you obtain a decimalanswer with more digits than the grid canaccommodate, it may be either rounded ortruncated, but it must fill the entire grid.!.] @ @ @CD CD CD CD@ @@ @) @) @) @ @) @(!) (!) (J) (!)-·(Jg·. ·: I(@), . J, ? -·.! -""".··. -- . .-::;"'" (!) (!) (!) (!)Acceptable ways to grid·d (j (gpoint @ @) 2 I :3,if : . Decimal@@ @@@@(!) (!) (!) !. @) @) @)@ { 31 is entered into the %·'CD CD CD CD grid, it will be interpreted as 3 not 3 .)-L ,, @@@5. Mixed numbers such as 3 must be gridded5CDCD CDGrid inresult. ,: · f?fu:·::,J/ @ @ @.G) ' ' - .i CD CD CD CD@.66 71 1'3 '@) ·- :n:I -A'-.':a- '! j @ @ CD CD CD CD@@@@@@@@ @) @) @) - (!)(!) (!) (J).,.- -'0"@@(J) (]) (]).,· -'n · 7. ·Answer: 201 - either position is correctNOTE: YGQmay start your2 0 1answers in any- \GZl ·. . - - - column, space:Q -,"\ permitting.0[,. . @ Columns youCD CD CD don't need toQ) (?) 6 use should beleft blank.t'i'o (i\ (-5:\" 6·.\· ' r -. ,«re' [, .,.,.,; . ''/,' ':.,53CONTINUE
413x 2y 9Sx-y -11If (x,y) is the solution to the system of equationsabove, what is the value of y ?Unauthorized coPYing !ir n111se of any part of this page Is Illegal.- A certain rectangular prism has a height of h inches,a width that is 3 inches less than its height, and alength that is 4 inches more than its height. If thearea of the base of the prism is 60 square inches, whatis the volume of the prism, in cubic inches?.,.,. ··.:·' ," -.I. . . .,. .·.· .,'
--------------- --------------Questions 30 and 31 refer to the followingInformation.In an Italian class; 65 percent of the students werewomen. At the end of the class, 52 percent of the menand 44 percent of the women received a certificate.What percentage of those who received a certificatewere men? (Ignore the percent symbol when enteringyour answer. For example, if the answer is 42.1 %,enter42.1)111:What percentage of the class receiv.ed a certificate?(Ignore the percent symbol when entering youranswer. For example, if e answer is 42.1 %, enter42.1)STOPIf you finish before time is called, you may check your work on this section only.Do not turn to any other section.55Unauthorized CQpylng orr of any pa!'l of this page Is IllegalIZ%W, S.O.&J!!htM.ZM.IAIIII 1 .I1Mll\MAE .(.&m4. #4A . ., ., . :;::a 4.,tt.l:.::msrAWM::n. :t,,,JWc.wwo. ss. xtm:e::u:o. :;:;:;m;;:;:,:. :.,a.:mc:;;:;:;;:;;;: . mm:J.Q . e.mwtw.:,;.:uw."'.;:;:;:w;!um:.
UNDERSTANDINGSCORES 201500249-012 2015-16 PN Mailing-IntBrochure-PR.indd 111/25/15 2:18 PM
PERCENTILESPercentile ranks represent the percentage ofstudents that score equal to or below the scorethe student obtained. For the total scores andthe section scores, percentile ranks are providedbased on two different reference populations. Onboth the paper and online score reports, studentsreceive a nationally representative percentilerank. On the online score report, students alsoreceive a user group percentile rank based ontypical test-takers.Nationally representative percentiles arederived via a research study sample of U.S.students in the student’s grade (10th or 11th),weighted to represent all U.S. students in thatgrade, regardless of whether they typically takethe PSAT/NMSQT. For example, a student’s scorein the 75th percentile means that 75 percentof the nationally representative group of U.S.students in the same grade would have hadscores at or below that student’s score. Usergroup percentiles are derived via a research studysample of U.S. students in the student’s grade,weighted to represent students in that grade (10thor 11th) who typically take the PSAT/NMSQT.600249-012 2015-16 PN Mailing-IntBrochure-PR.indd 611/25/15 2:18 PM
Percentiles for total scores10TH GRADE11TH GRADE10TH GRADE11TH onvertedTotal ScoreNationalRepresentativeSamplePSAT/NMSQTand PSAT 10User: NationalNationalRepresentativeSamplePSAT/NMSQTand PSAT 10User: 99 99 99 99 99 99 99 99 99 99 50484699 99 99 99 99 99 99 99 99 4846444299 99 99 99 99 99 99 99 99 99 42393799 99 99 99 99 99 99 99 99 41383633ConvertedTotal ScoreNationalRepresentativeSamplePSAT/NMSQTand PSAT 10User: NationalNationalRepresentativeSamplePSAT/NMSQTand PSAT 10User: 242219171513119865432211111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 403836343230272523211917141311986543321111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 35333129282624212018151412108875322111 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 700249-012 2015-16 PN Mailing-IntBrochure-PR.indd 711/25/15 2:18 PM
Percentiles for section scores10TH GRADEConvertedSection Score11TH GRADEEvidence-BasedReading and WritingMathEvidence-BasedReading and TILESNationalRepresentativeSamplePSAT/NMSQTUser: : : : National76099 99 99 99 99 99 99 99 75099 99 99 99 99 99 99 99 74099 99 99 9999 99 99 9973099 99 999999 99 999872099 99999999 9999987109999999899 9998977009999999899 (Continued on next page)800249-012 2015-16 PN Mailing-IntBrochure-PR.indd 811/25/15 2:18 PM
(continued from previous page)10TH GRADEConvertedSection Score11TH GRADEEvidence-BasedReading and WritingMathEvidence-BasedReading and TILESNationalRepresentativeSamplePSAT/NMSQTUser: : : : 02121111 130011111 11 12901 1 111 1 1 12801 1 1 1 1 1 1 12701 1 1 1 1 1 1 12601 1 1 1 1 1 1 12501 1 1 1 1 1 1 12401 1 1 1 1 1 1 12301 1 1 1 1 1 1 1 2201 1 1 1 1 1 1 1 2101 1 1 1 1 1 1 1 2001 1 1 1 1 1 1 1 1901 1 1 1 1 1 1 1 1801 1 1 1 1 1 1 1 1701 1 1 1 1 1 1 1 1601 1 1 1 1 1 1 1 9496889292958891900249-012 2015-16 PN Mailing-IntBrochure-PR.indd 911/25/15 2:18 PM
SELECTION INDEXAND MEAN SCORESReported on a scale ranging from 48 to 228, theSelection Index is calculated by doubling the sum ofthe Reading, Writing and Language, and Math Testscores. For example, a Reading score of 18, a Writingand Language score of 20, and a Math score of 24would result in a Selection Index of 124 [2(18 20 24)].How NMSC uses the Selection IndexNational Merit Scholarship Corporation (NMSC) usesthe Selection Index score to designate groups ofstudents to receive recognition in the National Merit Scholarship Program. Entry to NMSC’s competitionfor scholarships to be offered in 2017 is determinedby students’ responses to program entry questionson the 2015 PSAT/NMSQT answer sheet. Both theprinted PSAT/NMSQT student score report and theonline report show the student’s Selection Index,the student’s responses to four entry items, andwhether the student meets partic
Oct 07, 2020 · Wednesday October 14, 2015 PSAT /NMSQT Preliminary SAT/National Merit Scholarship Qualifying Test Prelimimiry SAT/National Merit Scholarship Qualifying Test cosponsored by 6 I . NATIONAL MERIT V CollegeBoard SCHOLARSHIP CO
