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The tasks cover a range of core skills, including percentage and area in grids, Egyptian numeral representations, card distribution in a game setup, modular patterns in number sequences, shortest-route planning on a street map, and arithmetic constraints involving erasing a number. Additional problems involve geometry with a cube net, clock-pair averaging, overlapping rotated rectangles, tetromino tiling, and inscribed-circle area within a 24-unit region.",{"@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/2025-amc-8-problem-set-40-minute-contest/434695/",{"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/2025-amc-8-problem-set-40-minute-contest/434695.png","ImageObject",300,407,{"name":92,"@type":93},"supergirl","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How long is the AMC 8 contest?","Question",{"text":112,"@type":113},"The document states a time limit of 40 minutes.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of math topics do the problems include?",{"text":117,"@type":113},"The problems include percentages in grids, Egyptian numeral combinations, card-dealing arithmetic, number-sequence patterns, shortest routes on a map, and several geometry questions including nets, rotated rectangles, and inscribed circles.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the format of the contest problems?",{"text":121,"@type":113},"The problems are presented as numbered questions labeled 1 through 12, each with multiple choice answer options.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},434695,1790816696,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},962088121634,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","2025 AMC 8  \nTime limit: 40 minutes  \nTypeset by: LIVE by Po-Shen Loh  \n[https://live.poshenloh.com/past-contests/amc8/2025](https://live.poshenloh.com/past-contests/amc8/2025)  \nCopyright: Mathematical Association of America. Reproduced with permission.  \n1. The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire 4-by-4 grid is covered by the star?  \n40  50  \n 60  75  \n 80  \n2. The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.  \n100 ,000  \n100  \n10 ,000  \n10  \n1 ,000  \n1  \nFor example, the number 32 was represented by:  \nWhat number was represented by the following combination of hieroglyphs?  \n1 ,423  \n 10,423  \n 14,023  \n 14,203  \n 14,230  \n3. Buffalo Shuffle-o is a card game in which all the cards are distributed evenly among all players atthe start of the game. When Annika and 3 of her friends play Buffalo Shuffleo, each player is dealt 15 cards. Suppose 2 more friends join the next game. How many cards will be dealt to each player?  \n 8  9  10  11  12  \n4. Lucius is counting backward by 7s. His first three numbers are 100, 93, and 86 . What is  \nhis 10th number?  30  37  42  44  47  \n5. Betty drives atruck to deliver packages in a neighborhood whose street map is shown below. Betty starts atthe factory (labeled F ) and drives to location A, then B , then C, before returning to F. What is the shortest distance, in blocks, she can drive to complete the route?  \n20  22  \n 24  26  \n 28  \n6. Sekou writes the numbers 15, 16, 17, 18, 19. After he erases one of the numbers, the sum of the remaining four numbers is a multiple of 4 . Which number did he erase?  \n 15  16  \n 17  18  \n 19  \n7. On the most recent exam in Prof. Xochi’s class,  \n• 5 students earned ascore of at least 95%,  \n• 13 students earned ascore of at least 90%,  \n• 27 students earned ascore of at least 85%, and  \n• 50 students earned ascore of at least 80% .  \nHow many students earned ascoreofat least 80% and less than 90%?  \n 8  14  22  37  45  \n8. Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown, which hasan area of 18 square centimeters. What was the volume of the cube in cubic centimeters?  \n9. Ningli looks atthe 6 pairs of numbers directly across from each other on a clock. She takes the average of each pair of numbers. What is the average of the resulting 6 numbers?  \n5  6.5  8  9.5  12  \n10. In the figure below, ABCD is a rectangle with sides of length AB = 5 inches and AD = 3 inches. Rectangle ABCD is rotated 90∘ clockwise around the midpoint of side DC to give a second rectangle. What is the total area, in square inches, covered by the two overlapping rectangles?  \n21  \n 22.25  23  \n 23.75  25  \n11. A tetromino consists of four squares connected along their edges. There are five possible tetromino shapes, I, O, L, T, and S, shown below, which can be rotated or flipped over. Three tetrominoes are used to completely cover a 3 × 4 rectangle. At least one of the tiles is an S tile. What are the other two tiles?  \nI and L  \n IandTC Land LD LandS E O and T  \n12. The region shown below consists of 24 squares, each with side length 1 centimeter. What is the area, in square centimeters, of the largest circle that can fit inside the region, possibly touching the boundaries?  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |\n|  |  |  |  |  |  |\n|  |  |  |  |  |  |\n|  |  |  |  |  |  |\n|  |  |  |  |  |  |\n\n 3π  4π  \n 5π  6π  \n 8π","cbCaioVX7c00dIT0","https://ap.wps.com/l/cbCaioVX7c00dIT0","pdf",240101,21,"English","# Questions\n## 1-5\n## 6-12","[{\"question\":\"How long is the AMC 8 contest?\",\"answer\":\"The document states a time limit of 40 minutes.\"},{\"question\":\"What kinds of math topics do the problems include?\",\"answer\":\"The problems include percentages in grids, Egyptian numeral combinations, card-dealing arithmetic, number-sequence patterns, shortest routes on a map, and several geometry questions including nets, rotated rectangles, and inscribed circles.\"},{\"question\":\"What is the format of the contest problems?\",\"answer\":\"The problems are presented as numbered questions labeled 1 through 12, each with multiple choice answer options.\"}]","2025 AMC 8 - Problem Set - 40-minute contest | PDF",1790670271,53]