[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635328-105":59,"doc-detail-635328-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-4-math-problem-worksheet","Frogs in a Bucket - 4 - Math Problem Worksheet","","This educational document provides a math problem titled 'Frogs in a Bucket 4,' designed for students to explore combinatorial possibilities. The game involves throwing three bean bag frogs into buckets to score 9, 5.5, 3.5, or 0 points per throw. The document challenges learners to calculate all possible total scores when all three frogs land in buckets. It includes an answer key that systematically lists the ten unique scoring combinations and their corresponding totals, ranging from 10.5 to 27 points, serving as a useful resource for practice and assessment of addition and basic probability concepts in a recreational math 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-4-math-problem-worksheet/635328/",{"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-4-math-problem-worksheet/635328.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":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the possible point values for a single bean bag throw?","Question",{"text":112,"@type":113},"A player can score 9 points, 5.5 points, 3.5 points, or 0 points if they miss the buckets.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many total scoring combinations are possible if all three frogs land in a bucket?",{"text":117,"@type":113},"There are 10 possible combinations of scores when all three bean bags land in a bucket.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the maximum possible score a player can achieve in this game?",{"text":121,"@type":113},"The maximum possible score is 27 points, which is achieved by landing all three frogs in the 9-point bucket.","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},635328,1792920097,{"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":19,"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  \nFROGS INA BUCKET 4  \nDate  \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 0 points (if you miss all the buckets) .  \nCaptain Salamander throws his 3 frogs, and each frog lands in a bucket. How many points could he have scored?  \nFind all possibilities.  \nExample: He could have scored 14 ½ points if his bean bags scored 5 ½ points, 5 ½ points and 3 ½ points.  \nName Date  \nFROGS INA BUCKET 4 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 0 points (if you miss all the buckets) .  \nCaptain Salamander throws his 3 frogs, and each frog lands in a bucket. How many points could he have scored?  \nFind all possibilities.  \nThere are 10 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 + 3 ½ + 3 ½ | = 12 ½ points |\n| 9 + 5 ½ + 5 ½ | = 20 points |  |  |\n| 9 + 5 ½ + 3 ½ | = 18 points | 3 ½ + 3 ½ + 3 ½ | = 10 ½ points |\n| 9 + 3 ½ + 3 ½ | = 16 points |  |  |","cbCaieqCIHcsp8Uk","https://ap.wps.com/l/cbCaieqCIHcsp8Uk","pdf",155233,"English","# Frogs in a Bucket Problem\n## Scoring Rules and Challenge\n# Answer Key\n## Possible Combinations","[{\"question\":\"What are the possible point values for a single bean bag throw?\",\"answer\":\"A player can score 9 points, 5.5 points, 3.5 points, or 0 points if they miss the buckets.\"},{\"question\":\"How many total scoring combinations are possible if all three frogs land in a bucket?\",\"answer\":\"There are 10 possible combinations of scores when all three bean bags land in a bucket.\"},{\"question\":\"What is the maximum possible score a player can achieve in this game?\",\"answer\":\"The maximum possible score is 27 points, which is achieved by landing all three frogs in the 9-point bucket.\"}]","Frogs in a Bucket - 4 - Math Problem Worksheet | PDF",1792675750]