[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635331-105":59,"doc-detail-635331-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","frogs-in-a-bucket-math-problem-5","Frogs in a Bucket - Math Problem - 5","","This document presents a fun and challenging mathematics exercise titled 'Frogs in a Bucket'. Participants are tasked with calculating all possible score combinations for a game where players throw three bean bag frogs, with specific point values assigned to different outcomes (9, 5.5, 3.5, or -3 points). The document establishes that a player must score at least 5 points, requiring users to find all valid permutations that satisfy this constraint. Complete with an answer key, the material provides a structured pedagogical resource for practicing addition and logical reasoning with decimals and negative numbers in a game-based context.",{"@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/frogs-in-a-bucket-math-problem-5/635331/",{"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/frogs-in-a-bucket-math-problem-5/635331.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the possible point values in the 'Frogs in a Bucket' game?","Question",{"text":112,"@type":113},"Players can score 9 points, 5.5 points, 3.5 points, or -3 points per throw.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the minimum score required for the challenge?",{"text":117,"@type":113},"Captain Salamander must manage to score at least 5 points using his three frogs.",{"name":119,"@type":110,"acceptedAnswer":120},"How many total scoring possibilities are identified in the answer key?",{"text":121,"@type":113},"There are 15 different scoring combinations that result in a total of at least 5 points.","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},635331,1792927519,{"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":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Name Date  \nFROGS INA BUCKET 5  \nCaptain Salamander has been playing one of his favourite games called frog in a bucket with some of his friends.  \nIn the game, you have to try to throw a bean bag frog into a bucket.  \nEach player gets 3 frogs to throw. You score either 9 points, 5½ points, 3½ points, or minus 3 points (if you miss all the buckets) .  \nCaptain Salamander throws his 3 frogs and he manages to score at least 5 points. How many points could he have scored?  \nFind all possibilities.  \nExample: He could have scored 8 points if his bean bags scored 5 ½ points, 5 ½ points and a miss to score-3 points.  \nName Date  \nFROGS INA BUCKET 5 ANSWERS  \nCaptain Salamander has been playing one of his favourite games called frog in a bucket with some of his friends.  \nIn the game, you have to try to throw a bean bag frog into a bucket.  \nEach player gets 3 frogs to throw. You score either 9 points, 5½ points, 3½ points, or minus 3 points (if you miss all the buckets) .  \nCaptain Salamander throws his 3 frogs and he manages to score at least 5 points. How many points could he have scored?  \nThere are 15 possibilities for the bean bags and the scores.  \n\n| 9 + 9 + 9 | = 27 points | 5 ½ + 5 ½ + 5 ½ | = 16 ½ points |\n| --- | --- | --- | --- |\n| 9 + 9 + 5 ½ | = 23 ½ points | 5 ½ + 5 ½ + 3 ½ | = 14 ½ points |\n| 9 + 9 + 3 ½ | = 21 ½ points | 5 ½ + 5 ½ -3 | = 8 points |\n| 9 + 9-3 | = 15 points | 5 ½ + 3 ½ + 3 ½ | = 12 ½ points |\n| 9 + 5 ½ + 5 ½ | = 20 points | 5 ½ + 3 ½ -3 | = 6 points |\n| 9 + 5 ½ + 3 ½ | = 18 points | 3 ½ + 3 ½ + 3 ½ | = 10 ½ points |\n| 9 + 5 ½ -3 | = 11 ½ points |  |  |\n| 9 + 3 ½ + 3 ½ | = 16 points |  |  |\n| 9 + 3 ½ -3 | = 9 ½ points |  |  |","cbCaieqQyy83s1Mi","https://ap.wps.com/l/cbCaieqQyy83s1Mi","pdf",156260,"English","# Game Rules\n## Mathematical Problem Definition\n# Answer Key\n## Calculation of Possibilities","[{\"question\":\"What are the possible point values in the 'Frogs in a Bucket' game?\",\"answer\":\"Players can score 9 points, 5.5 points, 3.5 points, or -3 points per throw.\"},{\"question\":\"What is the minimum score required for the challenge?\",\"answer\":\"Captain Salamander must manage to score at least 5 points using his three frogs.\"},{\"question\":\"How many total scoring possibilities are identified in the answer key?\",\"answer\":\"There are 15 different scoring combinations that result in a total of at least 5 points.\"}]","Frogs in a Bucket - Math Problem - 5 | PDF",1792675756]