[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-636177-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-636177-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","find-a-3x3-magic-square-math-puzzle-worksheet","Find a 3x3 Magic Square - Math Puzzle Worksheet","","This educational worksheet provides a structured activity for students to practice number logic and arithmetic through the completion of 3x3 magic squares. Using a designated set of digits from 1 to 9, with the number 5 fixed in the central position, participants are tasked with arranging the numbers so that every row, column, and diagonal sums to 15. The document serves as an engaging math challenge that encourages spatial reasoning and numerical computation, including an answer key illustrating rotation and reflection patterns.",{"@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/find-a-3x3-magic-square-math-puzzle-worksheet/636177/",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/find-a-3x3-magic-square-math-puzzle-worksheet/636177.png","ImageObject",300,407,{"name":42,"@type":43},"Mimi","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","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 are the rules for completing the 3x3 magic square?","Question",{"text":63,"@type":64},"Participants must use the digits 1, 2, 3, 4, 6, 7, 8, and 9, with the number 5 placed in the center, ensuring that every row, column, and diagonal adds up to 15.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many unique magic square solutions exist?",{"text":68,"@type":64},"While there are eight visual possibilities presented, they are essentially the same solution displayed through different rotations and reflections.",{"name":70,"@type":61,"acceptedAnswer":71},"Why is the number 5 placed in the middle?",{"text":72,"@type":64},"In a 3x3 magic square where the sum is 15, the central number must be the average of the set, which is 5.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},636177,1792899728,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":55},2336477974920,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name Date  \nFIND A 3x3 MAGIC SQUARE  \n• Use the digits 1,2,3,4,6,7,8 and 9 to create some magic squares.  \n• The number 5 goes in the middle and has been placed for you!  \n• Each row, column and diagonal has to add up to 15.  \n1) 2)  \n\n|  |  |  |\n| --- | --- | --- |\n|  | 5 |  |\n|  |  |  |\n\n\n|  |  |  |\n| --- | --- | --- |\n|  | 5 |  |\n|  |  |  |\n\n3)  \n\n|  |  |  |\n| --- | --- | --- |\n|  | 5 |  |\n|  |  |  |\n\n4)  \n\n|  |  |  |\n| --- | --- | --- |\n|  | 5 |  |\n|  |  |  |\n\nName Date  \nFIND A 3x3 MAGIC SQUARE ANSWERS  \nHere are the 8 possibilities. In fact, there is really just one possibility – the other ones are reflections or rotations of it!  \n\n| 2 7 6 9 5 1 4 3 8 | 2 9 4 7 5 3 6 1 8 | 6 7 2 1 5 9 8 3 4 |\n| --- | --- | --- |\n| 6 1 8 7 5 3 2 9 4 | 8 1 6 3 5 7 4 9 2 | 8 3 4 1 5 9 6 7 2 |\n| 4 3 8 9 5 1 2 7 6 | 4 9 2 3 5 7 8 1 6 |  |","cbCaiqHC5h5pmT7J","https://ap.wps.com/l/cbCaiqHC5h5pmT7J","pdf",154039,"English","# Challenge Instructions\n## Magic Square Puzzles\n## Answer Key and Explanations","[{\"question\":\"What are the rules for completing the 3x3 magic square?\",\"answer\":\"Participants must use the digits 1, 2, 3, 4, 6, 7, 8, and 9, with the number 5 placed in the center, ensuring that every row, column, and diagonal adds up to 15.\"},{\"question\":\"How many unique magic square solutions exist?\",\"answer\":\"While there are eight visual possibilities presented, they are essentially the same solution displayed through different rotations and reflections.\"},{\"question\":\"Why is the number 5 placed in the middle?\",\"answer\":\"In a 3x3 magic square where the sum is 15, the central number must be the average of the set, which is 5.\"}]","Find a 3x3 Magic Square - Math Puzzle Worksheet | PDF",1792677707]