[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634276-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-634276-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","newtons-crosses-puzzle-6b","Newton's Crosses Puzzle - 6B","","This document provides a set of mathematical logic exercises known as Newton's Crosses, specifically identified as puzzle set 6B. Each challenge requires the user to arrange a specific set of numbers within a cross-shaped grid such that the sum of each horizontal and vertical line results in a predefined target total. The first puzzle involves integers including negative values to reach a sum of -5, while the second puzzle utilizes fractions to reach a target sum of 2. The document includes detailed instructions, the necessary number sets, and provided solutions to assist students in checking their work and understanding the underlying logic of the arithmetic puzzle. These exercises are designed to enhance mental math and problem-solving skills for 6th-grade level students, encouraging them to find multiple potential arrangements for each cross. By verifying that rows and columns align with the target sums, students practice algebraic thinking and fractions addition, reinforcing key mathematical concepts through interactive engagement and logical deduction.",{"@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/newtons-crosses-puzzle-6b/634276/",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/newtons-crosses-puzzle-6b/634276.png","ImageObject",300,407,{"name":42,"@type":43},"Sophia Brooks","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","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 is the goal of the Newton's Crosses puzzles?","Question",{"text":63,"@type":64},"The goal is to arrange a provided set of numbers into a cross-shaped grid so that each row and column adds up to a specific target total.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Are there multiple solutions to these puzzles?",{"text":68,"@type":64},"Yes, there are several possible solutions for each puzzle, as long as the center number remains consistent with the required sum and the rows and columns contain the correct numbers.",{"name":70,"@type":61,"acceptedAnswer":71},"What types of numbers are used in the second puzzle?",{"text":72,"@type":64},"The second puzzle utilizes the fractions 1/2, 1/3, 2/3, 3/8, 5/6, and 5/8 to achieve a total sum of 2.","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},634276,1792876652,{"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 & 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adds up to-5 .  \n\n| -5 | -3 | -2 | -1 | 1 | 3 |\n| --- | --- | --- | --- | --- | --- |\n\nTotal must be-5  \n\n|  |  |  |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\n2) Write the numbers ½, ⅓, ⅔, ⅜, ⅚ and ⅝ in the squares so that each line of the cross adds up to 2.  \n\n| ½ | ⅓ | ⅔ | ⅜ | ⅚ | ⅝ |\n| --- | --- | --- | --- | --- | --- |\n\nTotal must be 2  \n|  |  |  |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nNEWTON’S CROSSES PUZZLE 6B 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.  \n1)  \n\n| -5 | -3 | -2 | -1 | 1 | 3 |\n| --- | --- | --- | --- | --- | --- |\n\nTotal must be-5  \n2)  \n\n| ½ | ⅓ | ⅔ | ⅜ | ⅚ | ⅝ |\n| --- | --- | --- | --- | --- | --- |\n\nTotal must be 2  \n|  | 1 |  |\n| --- | --- | --- |\n| -5 | -3 | 3 |\n|  | -1 |  |\n|  | -2 |  |\n\n\n|  | ⅝ |  |\n| --- | --- | --- |\n| ½ | ⅔ | ⅚ |\n|  | ⅜ |  |\n|  | ⅓ |  |","cbCaijY0evDD3xH4","https://ap.wps.com/l/cbCaijY0evDD3xH4","pdf",155572,"English","# Puzzle 1: Negative Integer Cross\n## Puzzle 1 Solution\n# Puzzle 2: Fractional Cross\n## Puzzle 2 Solution","[{\"question\":\"What is the goal of the Newton's Crosses puzzles?\",\"answer\":\"The goal is to arrange a provided set of numbers into a cross-shaped grid so that each row and column adds up to a specific target total.\"},{\"question\":\"Are there multiple solutions to these puzzles?\",\"answer\":\"Yes, there are several possible solutions for each puzzle, as long as the center number remains consistent with the required sum and the rows and columns contain the correct numbers.\"},{\"question\":\"What types of numbers are used in the second puzzle?\",\"answer\":\"The second puzzle utilizes the fractions 1/2, 1/3, 2/3, 3/8, 5/6, and 5/8 to achieve a total sum of 2.\"}]","Newton's Crosses Puzzle - 6B | PDF",1792673554]