[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-632113-105":59,"doc-detail-632113-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","newtons-crosses-puzzle-5b-math-learning-worksheet","Newton's Crosses Puzzle 5B - Math Learning Worksheet","","This educational document provides two versions of a mathematical logic activity known as 'Newton's Crosses.' The primary objective for students is to arrange a specific set of decimal numbers (0.3, 0.4, 0.5, 0.6, 0.7, and 0.8) within a cross-shaped grid pattern so that the sum of the numbers in each horizontal and vertical row equals a designated total. The first puzzle requires a sum of 1.8, while the second puzzle challenges the student to achieve a sum of 2.0. The document also includes an answer key section that provides one valid configuration for each puzzle, while noting that multiple solutions may exist depending on the placement of the numbers, provided the central value remains constant. Designed for 5th-grade students, these exercises help improve mental arithmetic and logical problem-solving skills through structured mathematical manipulation and pattern recognition.",{"@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/newtons-crosses-puzzle-5b-math-learning-worksheet/632113/",{"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/newtons-crosses-puzzle-5b-math-learning-worksheet/632113.png","ImageObject",300,407,{"name":92,"@type":93},"Aria","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the goal of the Newton's Crosses puzzle?","Question",{"text":112,"@type":113},"The goal is to arrange the numbers 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8 into a cross grid so that every horizontal and vertical line adds up to a specific target sum.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What are the target sums for the two provided puzzles?",{"text":117,"@type":113},"The first puzzle requires a total of 1.8, and the second puzzle requires a total of 2.",{"name":119,"@type":110,"acceptedAnswer":120},"Are there multiple correct solutions for these puzzles?",{"text":121,"@type":113},"Yes, the document notes that there are several possible solutions for each cross, as long as the numbers in the rows and columns add up correctly to the required total.","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},632113,1792876653,{"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":29,"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},2336464648322,"https://ap-avatar.wpscdn.com/avatar/2200025388227c56fec?_k=1778556882303663488","NEWTON’S CROSSES PUZZLE 5B  \n1) Write the numbers 0.3, 0.4, 0.5, 0.6, 0.7 and 0.8 in the correct place so that each line of the cross adds up to 1.8  \n0.3 0.4 0.5 0.6 0.7 0.8 Total must be 1.8  \n|  |  |  |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\n2) Write the numbers 0.3, 0.4, 0.5, 0.6, 0.7 and 0.8 in the squares so that each line of the cross adds up to 2.  \n0.3 0.4 0.5 0.6 0.7 0.8 Total must be 2  \n|  |  |  |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nNEWTON’S CROSSES PUZZLE 5B ANSWERS  \nPlease note that there are several solutions for each cross puzzle. As long as the number in the center of the cross is the same as the solution below, and the rowsand columns contain the same numbers then the answer should work even if the  \nnumbers are in a different place. One solution for each puzzle is given. 1)  \n0.3 0.4 0.5 0.6 0.7 0.8 Total must be 1.8  \n2)  \n0.3 0.4 0.5 0.6 0.7 0.8  \nTotal must be 2  \n\n|  | 0.4 |  |\n| --- | --- | --- |\n| 0.8 | 0.3 | 0.7 |\n|  | 0.6 |  |\n|  | 0.5 |  |\n\n\n|  | 0.6 |  |\n| --- | --- | --- |\n| 0.8 | 0.7 | 0.5 |\n|  | 0.4 |  |\n|  | 0.3 |  |","cbCairxnus5F4Nth","https://ap.wps.com/l/cbCairxnus5F4Nth","pdf",170453,"English","# Newton's Crosses Puzzle 5B\n## Puzzle 1: Sum to 1.8\n## Puzzle 2: Sum to 2\n## Answer Key","[{\"question\":\"What is the goal of the Newton's Crosses puzzle?\",\"answer\":\"The goal is to arrange the numbers 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8 into a cross grid so that every horizontal and vertical line adds up to a specific target sum.\"},{\"question\":\"What are the target sums for the two provided puzzles?\",\"answer\":\"The first puzzle requires a total of 1.8, and the second puzzle requires a total of 2.\"},{\"question\":\"Are there multiple correct solutions for these puzzles?\",\"answer\":\"Yes, the document notes that there are several possible solutions for each cross, as long as the numbers in the rows and columns add up correctly to the required total.\"}]","Newton's Crosses Puzzle 5B - Math Learning Worksheet | PDF",1792669943]