[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635312-105":59,"doc-detail-635312-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","4-card-trick-math-problems","4-Card Trick - Math Problems","","This educational document presents a mathematical logic puzzle titled 4-Card Trick. The challenge involves selecting four cards from a set to meet specific criteria, such as achieving a total sum of less than 20 while ensuring the lowest card value is an even number. The document provides detailed solutions and lists all valid combinations for both the primary challenge and a secondary variation involving a sum of 20 or more. It serves as a practical exercise for students to practice addition and logical deduction in a fun, game-based learning 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/4-card-trick-math-problems/635312/",{"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/4-card-trick-math-problems/635312.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","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 conditions for the 4-card trick?","Question",{"text":112,"@type":113},"The sum of the four chosen cards must be less than 20, and the lowest value card must be an even number.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many possibilities are there when the total is less than 20?",{"text":117,"@type":113},"There are 8 distinct combinations of cards that satisfy these conditions.",{"name":119,"@type":110,"acceptedAnswer":120},"Are there combinations where the total is 20 or more with an even lowest card?",{"text":121,"@type":113},"Yes, there are 3 possible combinations where the total is 20 or more while maintaining an even lowest card.","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},635312,1792920747,{"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  \n4-CARD TRICK  \nDate  \nFlame salamander has chosen 4 cards from the pile below for a card trick.  \nShe says that the 4 cards she has chosen make a total of less than 20 . She says that the lowest value card is an even number.  \nWhich cards could she have chosen? Find all possibilities.  \nWhat if her 4 cards had made a total of 20 or more, but the lowest card was still even?  \nName Date  \n4-CARD TRICK ANSWERS  \nFlame salamander has chosen 4 cards from the pile below for a card trick.  \nShe says that the 4 cards she has chosen make a total of less than 20. She says that the lowest value card is an even number.  \nWhich cards could she have chosen?  \nThere are 8 possibilities.  \n\n| 2 + 3 + 4 + 5 = 14 | 2 + 3 + 4 + 6 = 15 | 2 + 3 + 4 + 8 = 17 |\n| --- | --- | --- |\n| 2 + 3 + 5 + 6 = 16 | 2 + 4 + 5 + 6 = 17 | 2 + 3 + 5 + 8 = 18 |\n| 2 + 4 + 5 + 8 = 19 | 2 + 3 + 6 + 8 = 19 |  |\n\nWhat if her 4 cards had made a total of 20 or more, but the lowest card was still even?  \nThere are 3 possibilities.  \n\n| 8 + 6 + 5 + 4 = 23 | 8 + 6 + 5 + 2 = 21 | 8 + 6 + 4 + 2 = 20 |\n| --- | --- | --- |","cbCairBONesjgbPC","https://ap.wps.com/l/cbCairBONesjgbPC","pdf",149053,"English","# 4-Card Trick Challenge\n## Problem Statement\n## Solutions for Sum Under 20\n## Variations for Sum 20 or More","[{\"question\":\"What are the conditions for the 4-card trick?\",\"answer\":\"The sum of the four chosen cards must be less than 20, and the lowest value card must be an even number.\"},{\"question\":\"How many possibilities are there when the total is less than 20?\",\"answer\":\"There are 8 distinct combinations of cards that satisfy these conditions.\"},{\"question\":\"Are there combinations where the total is 20 or more with an even lowest card?\",\"answer\":\"Yes, there are 3 possible combinations where the total is 20 or more while maintaining an even lowest card.\"}]","4-Card Trick - Math Problems | PDF",1792675714]