[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634281-105":59,"doc-detail-634281-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-number-track-puzzle-6b-practice-exercises-and-solutions","Newton's Number Track Puzzle 6B - Practice Exercises and Solutions","","This educational document presents Newton's Number Track Puzzle 6B, a mathematical challenge designed to strengthen students' logical reasoning and arithmetic skills. Each number in the track is derived by calculating the sum of the previous two numbers, encouraging learners to apply additive properties in various contexts, including positive, negative, decimal, and fractional values. The document includes a comprehensive set of practice problems followed by detailed answer keys. Additionally, it explores complex open-ended problem solving, specifically regarding question 10, which demonstrates that certain algebraic patterns allow for an infinite number of integer solutions, thereby fostering deeper analytical thinking and algebraic understanding in a middle-school or sixth-grade curriculum 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/newtons-number-track-puzzle-6b-practice-exercises-and-solutions/634281/",{"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-number-track-puzzle-6b-practice-exercises-and-solutions/634281.png","ImageObject",300,407,{"name":92,"@type":93},"Sophia Brooks","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the rule for calculating the numbers in Newton's Number Track Puzzle?","Question",{"text":112,"@type":113},"Each number in the track is created by calculating the sum of the previous two numbers in the sequence.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are the solutions in the puzzle restricted to positive integers only?",{"text":117,"@type":113},"No, the puzzles utilize a variety of numeric formats including positive and negative integers, decimals, and fractions.",{"name":119,"@type":110,"acceptedAnswer":120},"How is question 10 unique compared to the others?",{"text":121,"@type":113},"Question 10 allows for an infinite number of integer solutions, provided the first two numbers satisfy the linear algebraic condition that two times the first number plus three times the second number equals negative ten.","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},634281,1792898483,{"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":34,"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},962084925636,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","NEWTON’S NUMBER TRACK PUZZLE 6B  \nEach number in the number track is made by adding the previous 2 numbers.  \nExample  \n\n| -3 | 5 | 2 | 7 | 9 |\n| --- | --- | --- | --- | --- |\n\n• The 3rd number is made by adding the first 2 numbers: -3 + 5 = 2.  \n• The 4th number is made by adding the 2nd and 3rd number: 5+2=7, etc.  \nFill in the missing numbers in these number tracks.  \n1)  \n2)  \n3)  \n4)  \n5)  \n6)  \n7)  \n8)  \n9)  \n10)  \n\n| 1.8 | 0.9 |  |  |  |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| -3 | -2 |  |  |  |\n|  |  |  |  |  |\n| 2 | -5 |  |  |  |\n\n\n| ⅓ | ½ |  |  |  |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| ¼ | ⅜ |  |  |  |\n|  |  |  |  |  |\n| -5 | -4 |  |  |  |\n\n\n| 2.1 |  | 4.7 |  |  |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| ⅗ |  | 1 |  |  |\n|  |  |  |  |  |\n| 4 |  |  | -6 |  |\n\n\n|  |  |  |  | -10 |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | -10 |\n|  |  |  |  | -10 |\n|  |  |  |  | -10 |\n\nCan you find 4 different integer answers for question 10?  \nNEWTON’S NUMBER TRACK PUZZLE 6B ANSWERS   \n1)  \n2)  \n3)  \n4)  \n5)  \n6)  \n7)  \n8)  \n9)  \n10)  \n\n| 1.8 | 0.9 | 2.7 | 3.6 | 6.3 |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| -3 | -2 | -5 | -7 | -12 |\n|  |  |  |  |  |\n| 2 | -5 | -3 | -8 | -11 |\n\n\n| ⅓ | ½ | ⅚ | 1 ⅓ | 2 ⅙ |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| ¼ | ⅜ | ⅝ | 1 | 1 ⅝ |\n|  |  |  |  |  |\n| -5 | -4 | -9 | -13 | -22 |\n\n\n| 2.1 | 2.6 | 4.7 | 7.3 | 12 |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n| ⅗ | ⅖ | 1 | 1 ⅖ | 2 ⅖ |\n|  |  |  |  |  |\n| 4 | -5 | -1 | -6 | -7 |\n\n\n| 4 | -6 | -2 | -8 | -10 |\n| --- | --- | --- | --- | --- |\n| 1 | -4 | -3 | -7 | -10 |\n| -2 | -2 | -4 | -6 | -10 |\n| -5 | 0 | -5 | -5 | -10 |\n\nThere are an infinite number of solutions to question 10.  \nAs long as (2 x the 1st number) + (3 x the 2 nd number) = -10, it will work.","cbCaia7JXIwS4yWS","https://ap.wps.com/l/cbCaia7JXIwS4yWS","pdf",241325,"English","# Puzzle Challenges\n## Practice Problems\n## Solutions and Mathematical Explanations","[{\"question\":\"What is the rule for calculating the numbers in Newton's Number Track Puzzle?\",\"answer\":\"Each number in the track is created by calculating the sum of the previous two numbers in the sequence.\"},{\"question\":\"Are the solutions in the puzzle restricted to positive integers only?\",\"answer\":\"No, the puzzles utilize a variety of numeric formats including positive and negative integers, decimals, and fractions.\"},{\"question\":\"How is question 10 unique compared to the others?\",\"answer\":\"Question 10 allows for an infinite number of integer solutions, provided the first two numbers satisfy the linear algebraic condition that two times the first number plus three times the second number equals negative ten.\"}]","Newton's Number Track Puzzle 6B - Practice Exercises and Solutions | PDF",1792673562]