[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-631323-105":59,"doc-detail-631323-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","broken-calculator-problem-2-mathematical-logic-challenge","Broken Calculator Problem 2 - Mathematical Logic Challenge","","This educational document presents a mathematical logic challenge titled 'Broken Calculator Problem 2,' designed for primary grade students. The activity tasks the user with representing all integers from 1 to 20 using only the buttons '3', '5', '+', '-', and '=' on a malfunctioning calculator. It includes both the original challenge prompts and a comprehensive answer key demonstrating various combinations to reach each target number. The resource effectively encourages creative problem-solving and reinforces arithmetic fluency through a fun, gamified approach to number construction. The material is well-suited for classroom practice or home learning, offering clear examples that illustrate the versatility of simple operations, such as deriving numbers 11 through 20 by building upon established sums for 1 through 10. By restricting the available input, the challenge forces students to think critically about number relationships and the commutative and associative properties of addition and subtraction within a constrained environment.",{"@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/broken-calculator-problem-2-mathematical-logic-challenge/631323/",{"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/broken-calculator-problem-2-mathematical-logic-challenge/631323.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What buttons are available for the calculator?","Question",{"text":112,"@type":113},"Only the 3, 5, +, -, and = buttons are functional.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the goal of the challenge?",{"text":117,"@type":113},"The goal is to represent every integer from 1 to 20 using the limited set of functional calculator buttons.",{"name":119,"@type":110,"acceptedAnswer":120},"How can you derive the numbers 11 through 20?",{"text":121,"@type":113},"You can construct the numbers 11 to 20 by adding 5 + 5 to the combinations used for the corresponding answers from 1 to 10.","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},631323,1793074102,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","BROKEN CALCULATOR PROBLEM 2  \nCaptain’s calculator has broken.  \nUnfortunately, none of the buttons work apart from the 3, 5,+, -and = button.  \nCan you help the Captain make all the numbers from 1 to 20 using his broken calculator?  \nExample: he can make 11 using 3 + 3 + 5 = 11.  \n= 1  \n\n| = 2 |\n| --- |\n| = 3 |\n| = 4 |\n| = 5 |\n| = 6 |\n| = 7 |\n| = 8 |\n| = 9 |\n| = 10 |\n\n3 + 3 + 5 = 11  \n\n| = 12 |\n| --- |\n| = 13 |\n| = 14 |\n| = 15 |\n| = 16 |\n| = 17 |\n| = 18 |\n| = 19 |\n| = 20 |\n\nBROKEN CALCULATOR PROBLEM 2  \nCaptain’s calculator has broken.  \nUnfortunately, none of the buttons work apart from the 3, 5,+, -and = button.  \nCan you help the Captain make all the numbers from 1 to 20 using his broken calculator?  \nExample: he can make 11 using 3 + 3 + 5 = 11.  \nBROKEN CALCULATOR PROBLEM 2 ANSWERS  \nCaptain’s calculator has broken.  \nUnfortunately, none of the buttons work apart from the 3, 5,+, -and = button.  \nYou can make any of the numbers from 1 to 20 in a variety of ways. There is an example of how to make each number below.  \nOne interesting point is that you can make the numbers 11 to 20 simply by adding 5 + 5 to all the answers from 1 to 10.  \n3 + 3-5 = 1  \n\n|  | 5-3 |  | = 2 |\n| --- | --- | --- | --- |\n|  |  |  |  |\n|  | 3 |  | = 3 |\n| 3 + | 3 + 3 | -5 | = 4 |\n|  |  |  |  |\n|  | 5 |  | = 5 |\n|  | 3 + 3 |  | = 6 |\n|  |  |  |  |\n| 5 | + 5 – | 3 | = 7 |\n|  |  |  |  |\n|  | 5 + 3 |  | = 8 |\n|  |  |  |  |\n| 3 | + 3 + | 3 | = 9 |\n|  |  |  |  |\n|  | 5 + 5 |  | = 10 |\n|  |  |  |  |\n\n3 + 3 + 5  \n= 11  \n\n| 3 + 3 + 3 + 3 | = 12 |\n| --- | --- |\n| 5 + 5 + 3 | = 13 |\n| 3 + 3 + 3 + 5 | = 14 |\n| 5 + 5 + 5 | = 15 |\n| 5 + 5 + 3 + 3 | = 16 |\n| 5 + 5 + 5 + 5 – 3 | = 17 |\n| 5 + 5 + 5 + 3 | = 18 |\n| 5 + 5 + 3 + 3 + 3 | = 19 |\n| 5 + 5 + 5 + 5 | = 20 |","cbCaieGCDDW2QylP","https://ap.wps.com/l/cbCaieGCDDW2QylP","pdf",168172,"English","# Challenge Overview\n## Problem Statement\n## Solutions for 1-10\n## Solutions for 11-20","[{\"question\":\"What buttons are available for the calculator?\",\"answer\":\"Only the 3, 5, +, -, and = buttons are functional.\"},{\"question\":\"What is the goal of the challenge?\",\"answer\":\"The goal is to represent every integer from 1 to 20 using the limited set of functional calculator buttons.\"},{\"question\":\"How can you derive the numbers 11 through 20?\",\"answer\":\"You can construct the numbers 11 to 20 by adding 5 + 5 to the combinations used for the corresponding answers from 1 to 10.\"}]","Broken Calculator Problem 2 - Mathematical Logic Challenge | PDF",1792668954]