[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-635833-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-635833-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","row-of-coins-mathematical-challenges","Row of Coins - Mathematical Challenges","","This document presents a series of mathematical logic puzzles focused on Australian currency for educational use. Students are tasked with arranging a specific set of coins in a sequence while adhering to multiple constraints regarding total value, coin position, and comparative relationships between individual coins. These challenges are designed to test critical thinking, arithmetic proficiency, and logical deduction skills within a classroom setting. The exercises require careful consideration of coin values and their relative placements to satisfy all listed conditions simultaneously, making them excellent practice for developing problem-solving abilities and mathematical reasoning. Teachers and students can utilize these activities to reinforce understanding of money management and numerical sequencing through engaging, hands-on learning tasks that bridge the gap between simple counting and complex logical reasoning.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/row-of-coins-mathematical-challenges/635833/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/row-of-coins-mathematical-challenges/635833.png","ImageObject",300,407,{"name":42,"@type":43},"McQueen","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the primary objective of the coin challenges?","Question",{"text":63,"@type":64},"The objective is to arrange a specific set of coins in a row that satisfies a series of given constraints, such as specific totals for groups of coins and positional relationships.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What specific coin value relationship is required for the last and first coins in Challenge A?",{"text":68,"@type":64},"In Challenge A, the last coin must be worth half the value of the first coin.",{"name":70,"@type":61,"acceptedAnswer":71},"What is a shared requirement for the arrangement in Challenge B?",{"text":72,"@type":64},"In Challenge B, the arrangement must ensure that two coins are placed between the two 10c coins, and the middle two coins must have a combined value of 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first 3 coins is $1.30.  \n• the total of the last 3 coins is 65c.  \n• the highest value coin is not the first coin in the row.  \n• the total of the middle two coins is 15c.  \n• the last coin is worth half the value of the first coin.  \nPut the coins above in a row so that:  \n• There are two coins in between the two 10c coins.  \n• The last coin is worth twice as much as the first coin.  \n• The middle two coins are worth 25c.  \n• The total of the first 3 coins is 65c.  \nName Date","cbCaipXLHbI6IsSv","https://ap.wps.com/l/cbCaipXLHbI6IsSv","pdf",233867,"English","# Challenge A\n## Problem Requirements\n# Challenge B\n## Problem Requirements","[{\"question\":\"What is the primary objective of the coin challenges?\",\"answer\":\"The objective is to arrange a specific set of coins in a row that satisfies a series of given constraints, such as specific totals for groups of coins and positional relationships.\"},{\"question\":\"What specific coin value relationship is required for the last and first coins in Challenge A?\",\"answer\":\"In Challenge A, the last coin must be worth half the value of the first coin.\"},{\"question\":\"What is a shared requirement for the arrangement in Challenge B?\",\"answer\":\"In Challenge B, the arrangement must ensure that two coins are placed between the two 10c coins, and the middle two coins must have a combined value of 25c.\"}]","Row of Coins - Mathematical Challenges | PDF",1792676929]