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A 40-minute timer must be set before starting, and submissions are sent via private message to eisirrational with exactly 25 letters representing answers, with no numeric substitutions. Scoring awards 1 point per correct response and 0 otherwise. Only basic tools like rulers, compasses, and scratch paper are allowed; calculators and computing devices are prohibited, and figures may not be to scale.",{"@graph":69,"@context":122},[70,84,105],{"@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/2017-mock-amc-8-math-contest-instructions/434709/",{"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/2017-mock-amc-8-math-contest-instructions/434709.png","ImageObject",300,407,{"name":92,"@type":93},"Jasmine","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How long is the 2017 Mock AMC 8 test and when should students start?","Question",{"text":112,"@type":113},"Students must start only after setting a timer for 40 minutes, and they have 40 minutes to complete the test after turning the page.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should answers be submitted to be graded?",{"text":117,"@type":113},"Submit answers for all 25 questions via private message to eisirrational using exactly 25 letters only. Do not submit numerical answers, and do not edit the first post of the PM.",{"name":119,"@type":110,"acceptedAnswer":120},"What aids are permitted and are calculators allowed?",{"text":121,"@type":113},"Only scratch paper, graph paper, rulers, compass, protractors, and erasers are permitted. 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DO NOT BEGIN THIS TEST UNTIL YOU HAVE SET A TIMER FOR 40 MINUTES.  \n2. This is a 25-question multiple choice test. Each question is followed by answers marked A, B, C, D, and E. Only one of these is correct.  \n3. Submit your answers for each problem on the 2017 MOCK AMC 8 through a private message toeisirrational. DO NOT EDIT THE FIRST POST OF YOUR PM.  \n4. SCORING: You will receive 1 point for each correct answer, and 0 points for each incorrect answer.  \n5. When submitting your answers, only submit exactly 25 letters; do not submit the numerical answer. If you do so, your submission will not be graded. (We say exactly 25 because even if you cannot solve a problem, it is better to guess than not submit anything-there is no penalty for guessing.)  \n6. No aids are permitted other than scratch paper, graph paper, rulers, compass, protractors, and erasers. No calculators, smartwatches, or computing devices are allowed. No problems on the test will require the use of a calculator.  \n7. Figures are not necessarily drawn to scale.  \n8. After you turn the page, begin working on the problems. You will have 40 minutes to complete the test.  \n9. Enjoy the problems and good luck!  \nOther information such as errata and where to submit will be located in eisirrational's post.  \nThe Problems  \n1. How many `90 s are in the number 10012 􀀀 2 􀀁 1001?  \n(A) 0 (B) 2 (C) 4 (D) 6 (E) 8  \n2. The 􀀌rst day that Jaime buys his favorite chocolate cake, he eats one-fourth of the cake. Each day after that, Jaime eats 25% less cake than the day before. At the end of the third day, what fraction of the cake remains?  \n(A) ~~1~~4 (B) ~~21~~64 (C) ~~27~~64 (D) ~~7~~16 (E) ~~1~~2  \n3. Two positive integers have a greatest common factor of 2 and a least common multiple of 30 . What is the largest possible sum of the two numbers?  \n(A) 16 (B) 21 (C) 25 (D) 32 (E) 36  \n4. Barnabus has 4 cards that are labelled on the front and the back. One has 1 on the front and 2 on the back, one has 2 and 3, one has 4 and 5, and the last one has 6 and 7 . He wants to lay the cards out in a way so that the numbers facing up add up to 15 : What is the number of ways to do this, if the order of the cards does not matter?  \n(A) 4 (B) 6 (C) 8 (D) 10 (E) 12  \n5. A teacher has graded all of the tests besides one. So far, the students have gotten the scores 40 ; 72 ; 74 ; 75 ; 78 ; 80 ; 82 ; 84 ; 86 ; 98 ; 100 : After the teacher grades the last test, the average score is 79 . What was the last student's score?  \n(A) 73 (B) 75 (C) 77 (D) 79 (E) 81  \n6. In circle O, points A, B, and C are on O so that O is in the exterior of triangle ABC. Line OC  \n_  \nintersects AB in the interior of the circle at P. If \\BAC = 20 and AC = 90, 􀀌nd \\BPC.  \n(A) 45 (B) 50 (C) 55 (D) 60 (E) 65  \n7. In triangular pyramid ABCD, points E; F; G are location on AB; AC; AD so that AEAB = AFAC = AGAD = ~~17~~20 . Also let H is the intersection of altitudes of triangle BCD. If the ratio of the volumes of EF GHand ABCD is ~~a~~b , 􀀌nd b 􀀀 a.  \n(A) 391 (B) 2220 (C) 3087 (D) 7133 (E) 7973  \n8. Al, Bob, and Carl make the following statements:  \nAl: Both Bob and Carl are liars.  \nBob: At least one of Al and Carl are liars.  \nCarl: Exactly one of Al and Bob are liars.  \nWho is/are the liar(s)?  \n(A) Al (B) Bob (C) Carl (D) Al and Carl (E) Bob and Carl  \n9. The sum of all possible distinct permutations of a positive integer N , whose digits are all nonzero, is  \n1332. What is the largest possible product of digits of N?  \n(A) 18 (B) 30 (C) 42 (D) 54 (E) 66  \n10. How many positive integers less than 1000 have a digit sum of 12? Some numbers to include are 39 and 525 .  \n(A) 55 (B) 66 (C) 73 (D) 79 (E) 80  \n: :2 : :4  \n11. What is the smallest value of n so that 22 : with n 2's is greater than 44 : with 10 4's?  \n(A) 11 (B) 12 (C) 13 (D) 14 (E) 15  \n12. An urn has ten marbles, 􀀌ve of which are red, three ","cbCaiqirSBIp8eu5","https://ap.wps.com/l/cbCaiqirSBIp8eu5","pdf",207908,"English","# Instructions\n## Test format and timing\n## Answer submission rules\n## Scoring and allowed aids\n## Notes about figures and errata\n# The Problems\n## Problem 1-17","[{\"question\":\"How long is the 2017 Mock AMC 8 test and when should students start?\",\"answer\":\"Students must start only after setting a timer for 40 minutes, and they have 40 minutes to complete the test after turning the page.\"},{\"question\":\"How should answers be submitted to be graded?\",\"answer\":\"Submit answers for all 25 questions via private message to eisirrational using exactly 25 letters only. Do not submit numerical answers, and do not edit the first post of the PM.\"},{\"question\":\"What aids are permitted and are calculators allowed?\",\"answer\":\"Only scratch paper, graph paper, rulers, compass, protractors, and erasers are permitted. Calculators, smartwatches, and other computing devices are not allowed.\"}]","2017 Mock AMC 8 - Math Contest Instructions | PDF",1790670291]