[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314587-105":59,"doc-detail-314587-en":135},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":128,"head_meta":130,"extra_data":132,"updated_unix":134},105,"en","ap-calculus-exam-format-and-calculator-tips-exam-format","AP Calculus Exam Format and Calculator Tips - Exam Format","","AP Calculus exam preparation material outlining test structure, timing, and permitted tools for AP Calculus AB/BC. The document specifies that the exam lasts 3 hours 15 minutes and includes two sections: multiple choice and free response, with a graphing calculator required. It then provides AP-style multiple-choice problems covering topics such as concavity, tangent line approximation, optimization and averages, related rates, motion and distance, mean value theorem application, and volumes of revolution. Free response questions include a heating-water modeling problem and a velocity-to-position particle motion problem with multi-part calculations.",{"@graph":69,"@context":127},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/ap-calculus-exam-format-and-calculator-tips-exam-format/314587/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/ap-calculus-exam-format-and-calculator-tips-exam-format/314587.png","ImageObject",300,407,{"name":92,"@type":93},"Mimi","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119,123],{"name":110,"@type":111,"acceptedAnswer":112},"How long is the AP Calculus exam, and what sections does it include?","Question",{"text":113,"@type":114},"The exam is 3 hours and 15 minutes long and has two sections: multiple choice and free response.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are students allowed to take both Calculus AB and Calculus BC within the same year?",{"text":118,"@type":114},"No. Students may not take both Calculus AB and Calculus BC exams within the same year.",{"name":120,"@type":111,"acceptedAnswer":121},"When is a graphing calculator required in this exam?",{"text":122,"@type":114},"A graphing calculator is required for parts of the exam (including the calculator-allowed multiple choice items shown in the document).",{"name":124,"@type":111,"acceptedAnswer":125},"What kinds of tasks appear in the multiple-choice and free-response sections?",{"text":126,"@type":114},"Multiple choice focuses on calculus concepts like concavity, tangent line estimates, average value, motion, mean value theorem, and volumes. Free response includes data modeling and multi-part motion/velocity problems requiring computation and interpretation.","https://schema.org",{"og:url":83,"og:type":129,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":131,"canonical":83},"index,follow",{"doc_id":133,"site_id":62},314587,1789901200,{"code":4,"msg":5,"data":136},{"doc_id":133,"user_id":137,"nickname":92,"user_avatar":138,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":44,"language":144,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":67,"update_tm":134,"read_time":148,"preview_page_count":4},2336477974920,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","AP Calculus Exam Format and Calculator Tips:  \nExam Format:  \nThe exam is 3 hours and 15 minutes long and has two sections – multiple choice and free response. A graphing calculator is required for parts of the exam (see below) . You may not take both the Calculus AB and Calculus BC exams within the same year.  \nCalculus with the Graphing Calculator Student Study Session  \nMultiple Choice Questions (all are AP-like and calculator allowed) 1. f (x) x(cos x)(ln x)(ex ); f c 􀀋1􀀌  \n(A) 0  \n(B) 1  \n(C) 1.321  \n(D) 1.406  \n(E) 1.469  \n2. Let f c(x) ~~ ~~lnexx~~ ~~ 􀀐 cos x for 1 x 6. On what intervals is f concave down?  \n(A) (1.481, 4.726)  \n(B) (1, 3.105)  \n(C) (3.105, 6)  \n(D) (1, 4.726)  \n(E) (1, 1.481) 􀂉 (4.726, 6)  \n3. Given f (x) sin x, use the tangent line at x 1 to estimate f (1 . 1) .  \n(A) 0  \n(B) 0.540  \n(C) 0.841  \n(D) 0.896 (E) 1  \nCopyright © 2014 National Math + Science Initiative®, Dallas, TX. All rights reserved. Visit us online [at www. nms.org](at www. nms.org)  \nCalculus with the Graphing Calculator Student Study Session  \n4. Two particles start at the origin and move along the x-axis. For 0 d t d 4, their respective position functions are given to be x1 ln 􀀋 t 2 􀀌 and x2 (t 􀀐 5)2 . For what value of t does the acceleration of x1 equal the velocity of x2 ?  \n(A) 1.060  \n(B) 0.470  \n(C) 3.960  \n(D) 2.039  \n(E) None  \n5. The average value of the function f (x) cos(x2 ) on the closed interval > 0, 2@ is  \n(A) 0.231  \n(B) 0.461  \n(C) 0.780  \n(D) 0.977  \n(E) 1.253  \nt  \n6. Water is pumped out of a pond at the rate R(t) 6 cubic meters per minute, where t is  \nt 􀀎1  \nmeasured in minutes. How much water is pumped from time t 0 to t 3?  \n(A) 0.217 cubic meters  \n(B) 2.147 cubic meters  \n(C) 5.196 cubic meters  \n(D) 12.882 cubic meters  \n(E) 25.456 cubic meters  \n7. If c satisfies the conclusion of the Mean Value Theorem for f (x) sin 􀀐1 x on the interval  \n0 d x d 1, then c is  \n(A) 0.500  \n(B) 0.771  \n(C) 0.785 (D) 1  \n(E) 1.186  \nCopyright © 2014 National Math + Science Initiative®, Dallas, TX. All rights reserved. Visit us online [at www. nms.org](at www. nms.org)  \nCalculus with the Graphing Calculator Student Study Session  \n8. A particle moves along the x 􀀐 axis in a way such that the velocity of the particle for t t 1 is given by v(t) ~~ ~~sint~~ ~~t . The total distance traveled by the particle from t 2 to t 4 is  \n(A) 􀀐0.094  \n(B) 0.094  \n(C) 0.153  \n(D) 0.247  \n(E) 0.340  \n9. An object traveling in a straight line has position x(t) at time t. If the initial position is x(0) 3 and the velocity of the object is v(t) 3 1􀀎 t2 , what is the position of the object at time t 4 ?  \n(A) 0.403  \n(B) 5.782  \n(C) 6.877  \n(D) 8.782  \n(E) 9.877  \n10. The area of the region bounded by the curves y e􀀐 x , y ln x, and the line x 1 is  \n(A) 0.042  \n(B) 0.054  \n(C) 0.096  \n(D) 0.728  \n(E) 1.686  \nCopyright © 2014 National Math + Science Initiative®, Dallas, TX. All rights reserved. Visit us online [at www. nms.org](at www. nms.org)  \nCalculus with the Graphing Calculator Student Study Session  \n11. Let g (x) be the function given by g (x) ³0x et (t2 􀀐1) dt. Which of the following must be true?  \nI. g is decreasing on (0,1)  \nII. g is decreasing on (1,2)  \nIII. g(2) ! 0  \n(A) I only  \n(B) II only  \n(C) IIIonly  \n(D) I and III only  \n(E) I, II, and III  \n12. Let R be the region in the first quadrant enclosed by the graphs y x4 􀀎1 and y x 􀀎16. The volume of the solid generated by revolving R about the x-axis is  \n(A) 25.616  \n(B) 80.475  \n(C) 507.539  \n(D) 1594.480  \n(E) 3188.959  \n13. Given f (x) ³1x ~~ ~~(et~~ ~~􀀎~~ ~~t1(sin~~ ~~t) dt; f cc(1)(A) 0  \n(B) 0.200  \n(C) 0.320  \n(D) 0.341  \n(E) does not exist  \nCopyright © 2014 National Math + Science Initiative®, Dallas, TX. All rights reserved. Visit us online [at www. nms.org](at www. nms.org)  \nCalculus with the Graphing Calculator Student Study Session  \nFree Response Questions (all are AP or AP-like and calculator allowed)  \n14.  \n\n| t (minutes) | 0 | 4 | 9 | 15 | 20 |\n| --- | ---","cbCaioX8jJBYa7Pm","https://ap.wps.com/l/cbCaioX8jJBYa7Pm","pdf",417600,"English","# Exam Format\n## Multiple Choice Questions\n## Free Response Questions","[{\"question\":\"How long is the AP Calculus exam, and what sections does it include?\",\"answer\":\"The exam is 3 hours and 15 minutes long and has two sections: multiple choice and free response.\"},{\"question\":\"Are students allowed to take both Calculus AB and Calculus BC within the same year?\",\"answer\":\"No. Students may not take both Calculus AB and Calculus BC exams within the same year.\"},{\"question\":\"When is a graphing calculator required in this exam?\",\"answer\":\"A graphing calculator is required for parts of the exam (including the calculator-allowed multiple choice items shown in the document).\"},{\"question\":\"What kinds of tasks appear in the multiple-choice and free-response sections?\",\"answer\":\"Multiple choice focuses on calculus concepts like concavity, tangent line estimates, average value, motion, mean value theorem, and volumes. Free response includes data modeling and multi-part motion/velocity problems requiring computation and interpretation.\"}]","AP Calculus Exam Format and Calculator Tips - Exam Format | PDF",23]