2018 international practice exam bc frq

Selected derivatives of f at x = 0 are given in the table above. (a) Write the third-degree Taylor polynomial for f about x = 0. (b) Write the first three nonzero terms of the Maclaurin series for ex . Write the second-degree Taylor polynomial for ef x x about x = 0 . ) = ∫ x. (c Let h be the function.

Calculus BC Practice Exam From the 2012 Administration Revised January 2013 • This practice exam is provided by the College Board for AP Exam preparation. • Exams may not be posted on school or personal websites, nor electronically redistributed for any reason. • Teachers are permitted to download the materials and make copies to use with …Does anyone have a copy of the 2018 APUSH multiple-choice international practice exam that you can send me? Archived post. New comments cannot be posted and votes cannot be cast. ask your teacher to open it on ap classroom, collegeboard doesn't release mcqs. There's no copy, they are only available online on AP Classroom.Exam offers: A detailed overview of the CPC test, so that you know exactly what to expect on the Certified Professional Coder exam Testing of all of the subjects in the CPC exam Over 200 CPC practice exam questions for you to practice and improve Test tips and strategies to help you score higher on the CPC 2018 About Trivium Test Prep Trivium ...The authorities in this city are bringing a drone to the fight. This time each year, more than 9 million Chinese teenagers are packed into examination halls to take the “gaokao,” a...AP Calculus 2019 BC FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 21, 2019 1 Problem 1 1.1 Part a Because sh enter the lake at the rate E(t) = 20+15sin ˇt 6, with tin hours after midnight, the number, F, of sh that enter the lake over the 5-hour period from t= 0 to t= 5, is ...Regularly Scheduled Exam Date: Monday afternoon, May 14, 2018 Late-Testing Exam Date: Wednesday afternoon, May 23, 2018 Section I . Total Time: 45 minutes Calculator Allowed Number of Questions: 35 (The number of questions may vary slightly depending on the form of the exam.) Percent of Total Score: 50% Writing Instrument: Pencil required ...Quiz yourself with questions and answers for APUSH 2018 Exam, so you can be ready for test day. Explore quizzes and practice tests created by teachers and students or create one from your course material. hello quizlet. Home. Study tools. Subjects. Create. Generate. Log in. Sign up. Test: APUSH 2018 Exam. Name: Score: 116 Multiple choice questions. …If you are giving the regularly scheduled exam, say: It is Wednesday … webAP Calculus 2018 BC FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part … webMay 7, 2018 · Carefully remove the AP Exam label found near the top left of your exam booklet cover.

Selected derivatives of f at x = 0 are given in the table above. (a) Write the third-degree Taylor polynomial for f about x = 0. (b) Write the first three nonzero terms of the Maclaurin series for ex . Write the second-degree Taylor polynomial for ef x x about x = 0 . ) = ∫ x. (c Let h be the function.the good must be purchased immediately. A. Mickey's plan will maximize her utility. B. Mickey can increase utility by buying more songs and fewer games. C. Mickey can increase utility by buying more games and fewer songs. D. Since games are twice as expensive as songs, Mickey should buy twice as many songs.Question 1. (Suggested time — 40 minutes. This question counts as one-third of the total essay section score.) Carefully read Olive Senior’s 2005 poem “Plants.”. Then, in a well-organized essay, analyze how the poet portrays the complex relationships among the speaker, the implied audience, and plant life. You may wish to consider the ...We reviewed six schools based on course features, pricing, and reviews to find the best California real estate exam prep for you. Real Estate | Buyer's Guide Download our exam prep...Score Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4. Sample Responses Q5. Sample Responses Q6. Sample Responses Q7. Download free-response questions from past AP Chemistry exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions.

5 Questions. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.1. The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are summarized in the following histogram. Based on the histogram, write a few sentences describing the distribution of room size in the residence hall. Summary statistics for the sizes are given in the following table. Mean.(B) A student achieves high scores on the math and language portions of a standardized exam. (C) A club president devises a way to publicize important upcoming events. (D) A student composes a new song. (E) A child has few social skills but an unusually strong memory. Scoring Guide Paper copy of 2018 International Practice Exam MCQDownload free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...AP Physics 1 2018 Free-Response Questions AP Calculus AB Exam from the 2017 Exam Administration AP Calculus BC 2018 Free-Response Questions AP Statistics 2018 Free-Response Questions - College Board AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … AP Calculus AB and AP Calculus BC Sample Questions Ms. Joiner: AP Calculus AB ...children of authoritative parents. independent. a psychologist administered the most recent edition of the stanford-binet. 2. karl's fear of cats is classified as. generalized anxiety …

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Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected] International Practice Exam AP Calculus BC FRQ 2(d) (graphing calculator allowed): A particle moving in the xy-plane has a position (x(t),y(t)) at time t≥0, where dx/dt=cos(t²) and dy/dt=e^t sin(t²). At time t=0, the particle is at position (1,2). The figure above shows the path of the particle for 0≤t≤2.Exam, and reflects all the recent changes in the AP Calculus BC curriculum and the AP Exam format. The author, Rita Korsunsky, is an award winning Calculus teacher whose students' scores on the AP Exam are: 100% passing and 94% fives. This book includes: *Six Multiple Choice ExamsPractice Exam From the 2018 Administration This exam may not be posted on school or personal websites, nor electronically redistributed for any reason. This Released Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom …AP Calculus BC Exam 2018 Free Response Question #2Integrating a density function. This was a kind of new context but all the same old stuff. Also, you had ...

Question 1. (Suggested time — 40 minutes. This question counts as one-third of the total essay section score.) Carefully read Olive Senior’s 2005 poem “Plants.”. Then, in a well-organized essay, analyze how the poet portrays the complex relationships among the speaker, the implied audience, and plant life. You may wish to consider the ...Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected] for the International English Language Testing System (IELTS) exam can be a daunting task, especially if you’re not familiar with the format and structure of the test. Th...Work through a practice AP Calc BC exam following the new 2020 format. You can download a copy of the exam here: https://drive.google.com/open?id=1gOFipZ9omt...To practice for the LPN entrance exam, a person should study and practice reasoning ability, reading comprehension, language skills and numerical ability. The reasoning ability and...2019 International Practice Exam: A P Microeconomics WEBAP® CALCULUS AB/CALCULUS BC 2019 SCORING GUIDELINES Question 1 (a) 5 Et d t 153.457690 0 To the nearest whole number, 153 fish enter the lake from midnight to 5 A.M. 1 2 : : integral 1 : answer (b) 1 5 50 Lt d t 6.059038 0 The average number of fish that leave the lake per hourPractice Exam. ® From the 2015 Administration. This Practice Exam is provided by the College Board for AP Exam. preparation. Teachers are permitted to download the materials and. make copies to use with their students in a classroom setting only. To maintain the security of this exam, teachers should collect all.Practice Exam From the 2019 Administration This exam may not be posted on school or personal websites, nor electronically redistributed for any reason. This Released Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom …

CALCULUS BC FREE-RESPONSE QUESTIONS CALCULUS BC SECTION II, Part B NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The function f is differentiable on the closed interval [−6, 5 ] and satisfies f (− ) 2 = 7. The graph of f ¢, the derivative of f, consists of a semicircle and three line segments, as shown in the figure above.

AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … Web1. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. 300. t = 300 is 80. = 414.286 (orIn this exam: ( 1 ) Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f x( ) is a real number. ( 2 ) The inverse of a trigonometric function f may be indicated using the inverse function notation f − 1 or with the prefix “arc” (e., sin− 1 x = arcsin x). -3- GO ON TO THE NEXT ... Score Distributions. Sample Responses Q1. Sample Responses Q2. Sample Responses Q3. Sample Responses Q4. Sample Responses Q5. Sample Responses Q6. Sample Responses Q7. Download free-response questions from past AP Chemistry exams, along with scoring guidelines, sample responses from exam takers, and scoring distributions. For 2024, the Clemson advanced placement statistics practice exam will be held from 8:30 a.m.–2:30 p.m. April 20. Information about the exact location will be added later in the Spring semester. Registered teachers will be receive more specific information and reminders as the event approaches. Register for the Exam. Exam offers: A detailed overview of the CPC test, so that you know exactly what to expect on the Certified Professional Coder exam Testing of all of the subjects in the CPC exam Over 200 CPC practice exam questions for you to practice and improve Test tips and strategies to help you score higher on the CPC 2018 About Trivium Test Prep Trivium ...As you age, it is important to stay up-to-date on your driving skills and knowledge. Taking a practice test before your senior driver’s exam can help you prepare and ensure that yo... Section II: Free-Response Questions This is the free-response section of the 2018 AP Exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ in look from the following content.) Are you planning to take the International English Language Testing System (IELTS) exam? If so, it is crucial to prepare well in order to achieve a high score. One effective way to...

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7 Questions. YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. Section II: Free-Response Questions This is the free-response section of the 2018 AP Exam. It includes cover material and other administrative instructions to help familiarize students with the mechanics of the exam. (Note that future exams may differ in look from the following content.) mr. calculus 2018 released free response solutions ab/bc 1 ab 2 bc 2 ab/bc 3 ab/bc 4 ab5 bc 5 ab 6 bc 6. back to mr calculus ...Sample: 1C. Score: 3. The response earned 3 points: 2 points in part (a), 1 point in part (b), no points in part (c), and no points in. part (d). In part (a) the first point was earned with the definite integral 5 20 15sin t. 6 . dt, and the second. …VANCOUVER, BC, Oct. 27, 2020 /CNW/ - Genome British Columbia (Genome BC) is thrilled to congratulate two BC-led teams for their projects designed ... VANCOUVER, BC, Oct. 27, 2020 /... AP Calculus 2018 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part a During the time interval 0 t 300, Z 300 0 r(t)dt= 44 Z 300 0 t 100 3 1 t 300 7 dt= 270 (1) people enter the line for the escalator. (Fortunately, the problem is calculator active ... 2018 AP ®US HISTORY FREE-RESPONSE QUESTIONS Document 4. Source: The Boston Globe, May 28, 1898. Courtesy of the Library of Congress #LC-USZ62-91465 GO ON TO THE NEXT PAGE. -8-© 2018 The College Board. Visit the College Board on the Web: www.collegeboard.org.mr. calculus 2018 released free response solutions ab/bc 1 ab 2 bc 2 ab/bc 3 ab/bc 4 ab5 bc 5 ab 6 bc 6. back to mr calculus ...The AP Calculus BC Exam has consistent question types, weighting, and scoring guidelines every year, so you and your students know what to expect on exam day. Section I: Multiple Choice. 45 Questions | 1 Hour 45 minutes | 50% of Exam Score. Part A: 30 questions; 60 minutes (calculator not permitted). Part B: 15 questions; 45 minutes (graphing ... ….

2018 International Practice Exam AP Calculus BC FRQ 2(d) (graphing calculator allowed): A particle moving in t Get the answers you need, now!AP Chemistry Exam. Regularly Scheduled Exam Date: Monday morning, May 7, 2018. Late-Testing Exam Date: Wednesday afternoon, May 23, 2018. Section I Total Time: 1 hour and 30 minutes Number of Questions: 60 (The number of questions may vary slightly depending on the form of the exam.) Calculator not permitted Percent of Total Score: 50% Writing ...Questions And Worked Solutions For AP Calculus BC Multiple Choice 2018, Practice Exam. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about …AP Calculus 2018 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part a During the time interval 0 t 300, Z 300 0 r(t)dt= 44 Z 300 0 t 100 3 1 t 300 7 dt= 270 (1) people enter the line for the escalator. (Fortunately, the problem is calculator active; …AP Calc AB 2019 Released FRQ Solutions. (a) = 153.457690 To the nearest whole number, 153 fish enter the lake from midnight to 5 A.M. dt = 6.059038 (b) 5-00 The average number of fish that leave the lake per hour from midnight to 5 A.M. is 6.059 fish per hour. (c) The rate of change in the number of fish in the lake at time t is given by E(t ...For 2024, the Clemson advanced placement statistics practice exam will be held from 8:30 a.m.–2:30 p.m. April 20. Information about the exact location will be added later in the Spring semester. Registered teachers will be receive more specific information and reminders as the event approaches. Register for the Exam.c) love and truth are preferable to fantasy and dream. Study with Quizlet and memorize flashcards containing terms like the speaker indicates that the play will include, the speaker anticipates the objection that "preaching" (line 11) is, in both lines 11 and 21, the speaker begins sentences with "but" primarily to and more.Note: Some questions and scoring guidelines from the 2023 and earlier AP U.S. Government and Politics Exams may not perfectly align with the course and exam updates that take effect in the 2023-24 school year. These questions remain available because teachers say that imperfectly aligned questions still provide instructional value.Sample: 3C. Score: 3. The response earned 3 points: no points in part (a), no points in part (b), 2 points in part (c), and 1 point in part. (d). In part (a) the property of definite integrals that is required is not stated, so the first point was not earned. 2018 international practice exam bc frq, Though costlier than traditional policies, no-exam life insurance policy might make sense for people with pre-existing medical conditions or dangerous occupa... Get top content in ..., calculus 2018 released free response solutions ab/bc 1 ab 2 bc 2 ab/bc 3 ab/bc 4 ab5 bc 5 ab 6 bc 6. back to mr calculus ..., AP Calc AB 2019 Released FRQ Solutions - Murrieta Valley … Web1. According to the model, 270 people enter the line for the escalator during the time interval 0 ≤ t ≤ 300. 300. t = 300 is 80. = 414.286 (or, Scoring Worksheet. The following provides a scoring worksheet and conversion table used for calculating a composite score of the exam. 2017 AP Calculus AB Scoring Worksheet. Section I: Multiple Choice. × 1.2000 = Number Correct Weighted Section I Score (out of 45) (Do not round) Section II: Free Response. Question 1., Questions And Worked Solutions For AP Calculus BC Multiple Choice 2018, Practice Exam. Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations., AP Calculus AB/BC Exams AP Calculus AB/BC Exams 49 2018-19 AP Exam Instructions The exam proctor should complete the following tasks if asked to do so by the AP coordinator. Otherwise, the AP coordinator must complete these tasks: Complete an Incident Report for any students who used extra paper for the free-response section. …, AP Chemistry Exam. Regularly Scheduled Exam Date: Monday morning, May 7, 2018. Late-Testing Exam Date: Wednesday afternoon, May 23, 2018. Section I Total Time: 1 hour and 30 minutes Number of Questions: 60 (The number of questions may vary slightly depending on the form of the exam.) Calculator not permitted Percent of Total Score: 50% Writing ..., AP Calculus 2019 BC FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 21, 2019 1 Problem 1 1.1 Part a Because sh enter the lake at the rate E(t) = 20+15sin ˇt 6, with tin hours after midnight, the number, F, of sh that enter the lake over the 5-hour period from t= 0 to t= 5, is given by …, AP Calculus 2018 BC FRQ Solutions - MSU Denver AP Calculus 2018 AB FRQ Solutions - MSU Denver AP Physics C: Mechanics - College Board Ms. Joiner: AP Calculus AB & PreCalculus - Home AP United States Government and Politics 2018 Free … AP Physics 1 2018 Free-Response Questions 2018 International Practice Exam Frq - admissions.piedmont.edu AP ..., Preparing for the International English Language Testing System (IELTS) exam can be a daunting task, especially if you’re not familiar with the format and structure of the test. Th..., May 18, 2018 · AP Calculus AB & AP Calculus BC 2018 Exam Free Response Question #1Rate in/rate out problem. You can use a calculator. Find total entering. Use an accumul... , Questions and answers for past years can be found right here. Here’s the direct link to the 2017 AP Calculus BC free response questions. Here are the answer keys and videos that my students created: 2017 #1: Answer key 1, Answer key 2 , Video 1, Video 2, Video 3, Video 4. 2017 #2: Answer key, Video 1, Video 2., Write your responses to this question only on the designated pages in the separate Free Response booklet. Write your solution to each part in the space provided for that part. 2023 College Board. 5. The graphs of the functions f and g are shown in the figure for 12. 0 £ x £ 3. It is known that g(x) =. 3 + x. for x ., (B) A student achieves high scores on the math and language portions of a standardized exam. (C) A club president devises a way to publicize important upcoming events. (D) A student composes a new song. (E) A child has few social skills but an unusually strong memory. Scoring Guide Paper copy of 2018 International Practice Exam MCQ, AP Chemistry Scoring Guidelines from the 2019 Exam … 2018 International Practice Exam Ab Frq ? / archive.nafc 2018 International Practice Exam Ab Frq (2023) , portal.ajw AP English Language and Composition 2018 Free-Response … AP Calculus BC 2018 Free-Response Questions AP Macroeconomics 2018 Free-Response Questions AP Statistics 2018 Free ..., The model for exponential growth and decay that arises from the statement “The rate of change of a quantity is proportional to the size of the quantity” is. MPAC 3. Implementing algebraic/computational processes. MPAC 4. Connecting multiple representations Te Collee oar. 10 Sample uestions A Calculus AB/BC Exam., WebAP Calculus 2017 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 18, 2017 1 Problem 1 1.1 Part a The approximation with a left-hand sum using the intervals given is 50:32+14:43+6:55 = 176:3: (1) 1.2 Part b Web4.97, Answer Key for 2017 International Practice Exam MCQ that can be found... View more. Course Calculus BC (1202320) University Lynn University. Academic year: 2017/2018. Uploaded by: Anonymous Student. This document has been uploaded by a student, just like you, who decided to remain anonymous. Harvard University. Comments . Please sign in …, The exam scoring process, like the course and exam development process, relies on the expertise of both AP teachers and college faculty. While multiple-choice questions are scored by machine, the free-response questions and through-course performance assessments, as applicable, are scored by thousands of college faculty and expert AP teachers. , View 2017 International Practice Exam BC FRQ - my answer key.pdf from MATH 226 at San Francisco State University. Question 1 2 a) = √( ′ + 2 = √(2 ∙ cos(2)2 + (2 − 1)2 = √(2 ∙ cos(2 ∙ 2)2 + (2 . AI Homework Help. Expert Help. Study Resources. Log in Join. 2017 International Practice Exam BC FRQ - my answer key.pdf... Doc Preview. Pages 6. …, y = cx 4 x 2 , for some c. Each spinning toy is in the shape of the solid generated when such a region is. −. revolved about the x-axis. Both x and y are measured in inches. (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cx 4 x2 − for c = 6. dy c 2x (4., t 10, Bob’s velocity is modeled by B t. 3 2. 6 300, where t is measured in minutes and B t. is measured in meters per minute. Find Bob’s acceleration at time t 5. (d) Based on the model B from part (c), find Bob’s average velocity during the interval 0 t 10. dy. 4. Consider the differential equation., AP Calculus 2018 AB FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part a During the time interval 0 t 300, Z 300 0 r(t)dt= 44 Z 300 0 t 100 3 1 t 300 7 dt= 270 (1) people enter the line for the escalator. (Fortunately, the problem is calculator active ... , (B) A student achieves high scores on the math and language portions of a standardized exam. (C) A club president devises a way to publicize important upcoming events. (D) A student composes a new song. (E) A child has few social skills but an unusually strong memory. Scoring Guide Paper copy of 2018 International Practice Exam MCQ, 2018 International Practice Exam Bc Frq Cracking the AP U.S. History Exam, 2016 Edition Princeton Review 2015-09-15 EVERYTHING YOU NEED TO HELP SCORE A PERFECT 5! Equip yourself to ace the AP U.S. History Exam with The Princeton Review's comprehensive study guide—including thorough content reviews, targeted, Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. , This is a good preparation for your upcoming exam! Watch as Sal solves free response questions from past AP Calculus exams. This is a good preparation for your upcoming exam! If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the …, May 24, 2018 · 2018 AP Calculus BC Free Response Question 1 Solution [Student] You can check out this project from past years here (2017) and here (2016). Many more Williston student screencasts can be found online right here. Posted in: Calculus, Student screen recordings. 2018 answers ap calculus bc college board free response questions. , www.collegeboard.org. AP Central is the official online home for the AP Program: apcentral.collegeboard.org. 2018. AP. CALCULUS AB FREE-RESPONSE QUESTIONS. CALCULUS AB. SECTION II, Part A. Time—30 minutes. Number of questions—2. , Besides the complete practice test, the only official AP Calculus BC multiple choice practice questions are found in the AP Calculus Course and Exam Description. Beginning on page 228 there are 22 multiple-choice questions you can use to practice. The questions include answers and the major skills each question tests., Course: Calculus BC (1202320) University: Lynn University. Info. Download. AI Quiz. Answer Key for 2017 International Practice Exam MCQ that can be found on AP Classroom and/or other websites., If you are giving the regularly scheduled exam, say: It is Wednesday … webAP Calculus 2018 BC FRQ Solutions Louis A. Talman, Ph.D. Emeritus Professor of Mathematics Metropolitan State University of Denver May 22, 2018 1 Problem 1 1.1 Part … webMay 7, 2018 · Carefully remove the AP Exam label found near the top left of your exam booklet cover., Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected].