[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-635119-105":59,"doc-detail-635119-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","input-output-tables-sheet-3d-harder-math-practice","Input-Output Tables Sheet 3D - Harder Math Practice","","This educational resource provides a series of advanced function machine exercises designed to strengthen mathematical reasoning and arithmetic skills. Students are tasked with identifying the underlying rules applied to input numbers to produce specific outputs, as well as calculating missing values within structured tables. The document includes six distinct problem sets featuring arithmetic operations such as subtraction, multiplication, division, addition, and squaring. A comprehensive answer key is included at the end to allow for self-assessment and verification of the solutions, making it a valuable tool for classroom practice or independent study in algebraic foundations.",{"@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/input-output-tables-sheet-3d-harder-math-practice/635119/",{"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/input-output-tables-sheet-3d-harder-math-practice/635119.png","ImageObject",300,407,{"name":92,"@type":93},"Bintang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","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 is the objective of the input-output tables?","Question",{"text":112,"@type":113},"The objective is to identify the rule used by a function machine to transform input numbers into output numbers and to fill in any missing data within the tables.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the rules defined in the exercises?",{"text":117,"@type":113},"The rules describe the arithmetic operations performed on the input, such as subtracting 3 and then multiplying by 4, or squaring the number.",{"name":119,"@type":110,"acceptedAnswer":120},"Are there solutions provided in the document?",{"text":121,"@type":113},"Yes, a complete answer key for all six sets of exercises is provided at the end of the document to assist with verification.","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},635119,1792984467,{"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},962085564381,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name Date  \nINPUT OUTPUT TABLES SHEET 3D (HARDER)  \nWrite down what the function machines are doing to each number in the top box.  \nFill in any missing inputs and outputs.  \n1) Rule:   then   2) Rule:   then    \n\n| In | ? | Out |\n| --- | --- | --- |\n| 4 | | 4 |\n| 9 | | 24 |\n| 5 | | 8 |\n| 7 | | 16 |\n| 10 | | 28 |\n| 3 | |  |\n\n\n| In | ? | Out |\n| --- | --- | --- |\n| 5 | | 4 |\n| 20 | | 7 |\n| 55 | | 14 |\n| 10 | | 5 |\n| 15 | | 6 |\n|  | | 9 |\n\n3) Rule:   then   4) Rule:   then    \n\n| In | ? | Out |\n| --- | --- | --- |\n| 14 | | 7 |\n| 5 | | 4 |\n| 20 | | 9 |\n| 2 | | 3 |\n| 38 | | 15 |\n|  | | 20 |\n\n\n| In | ? | Out |\n| --- | --- | --- |\n| 2 | | 3 |\n| 5 | | 21 |\n| 10 | | 51 |\n| 7 | | 33 |\n| 11 | | 57 |\n| 3 | |  |\n\n5) Rule:   6) Rule:   then    \n\n| In | 6 | 4 | 1 | 5 | 9 |\n| --- | --- | --- | --- | --- | --- |\n| Out | 36 | 16 | 1 | 25 |  |\n\n\n| In | 10 | 6 | 9 | 12 |  |\n| --- | --- | --- | --- | --- | --- |\n| Out | 32 | 0 | 24 | 48 | 64 |\n\nName Date  \nINPUT OUTPUT TABLES SHEET 3D (HARDER) ANSWERS  \nWrite down what the function machines are doing to each number in the top box.  \nFill in any missing inputs and outputs.  \n1) Rule: – 3  then x 4 2) Rule: ÷ 5 then + 3  \n\n| In | ? | Out |\n| --- | --- | --- |\n| 4 | | 4 |\n| 9 | | 24 |\n| 5 | | 8 |\n| 7 | | 16 |\n| 10 | | 28 |\n| 3 | | 0 |\n\n\n| In | ? | Out |\n| --- | --- | --- |\n| 5 | | 4 |\n| 20 | | 7 |\n| 55 | | 14 |\n| 10 | | 5 |\n| 15 | | 6 |\n| 30 | | 9 |\n\n3) Rule: + 7 then ÷ 3 4) Rule: x 6 then – 9  \n\n| In | ? | Out |\n| --- | --- | --- |\n| 14 | | 7 |\n| 5 | | 4 |\n| 8 | | 5 |\n| 2 | | 3 |\n| 38 | | 15 |\n| 53 | | 20 |\n\n\n| In | ? | Out |\n| --- | --- | --- |\n| 2 | | 3 |\n| 5 | | 21 |\n| 10 | | 51 |\n| 7 | | 33 |\n| 11 | | 57 |\n| 3 | | 9 |\n\n5) Rule: Multiply by itself (square it)  6) Rule: – 6  then x 8  \n\n| In | 6 | 4 | 1 | 5 | 9 |\n| --- | --- | --- | --- | --- | --- |\n| Out | 36 | 16 | 1 | 25 | 81 |\n\n\n| In | 10 | 6 | 9 | 12 | 14 |\n| --- | --- | --- | --- | --- | --- |\n| Out | 32 | 0 | 24 | 48 | 64 |","cbCaikYrkCq6Q4WQ","https://ap.wps.com/l/cbCaikYrkCq6Q4WQ","pdf",180996,"English","# Function Machine Practice Sets\n## Problem Set 1: Subtraction and Multiplication\n## Problem Set 2: Division and Addition\n## Problem Set 3: Addition and Division\n## Problem Set 4: Multiplication and Subtraction\n## Problem Set 5: Squaring Operations\n## Problem Set 6: Subtraction and Multiplication\n## Answer Key","[{\"question\":\"What is the objective of the input-output tables?\",\"answer\":\"The objective is to identify the rule used by a function machine to transform input numbers into output numbers and to fill in any missing data within the tables.\"},{\"question\":\"How are the rules defined in the exercises?\",\"answer\":\"The rules describe the arithmetic operations performed on the input, such as subtracting 3 and then multiplying by 4, or squaring the number.\"},{\"question\":\"Are there solutions provided in the document?\",\"answer\":\"Yes, a complete answer key for all six sets of exercises is provided at the end of the document to assist with verification.\"}]","Input-Output Tables Sheet 3D - Harder Math Practice | PDF",1792675338]