[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-633047-105":59,"doc-detail-633047-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","order-of-operations-challenges-62","Order of Operations Challenges - 6.2","","This document provides a set of advanced mathematical exercises focused on the order of operations for 6th-grade students. It features various challenges requiring the application of parentheses and arithmetic operations to achieve specific target numbers like 30, 24, and others. The materials include a structured worksheet with problem sets and a comprehensive answer key. These practice exercises are designed to improve students' logical reasoning, familiarity with PEMDAS/BODMAS principles, and overall computational accuracy through engaging, self-paced problem-solving tasks. The exercises are suitable for classroom practice or home learning, helping students build confidence in navigating complex arithmetic expressions through experimentation and systematic verification of their mathematical solutions.",{"@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/order-of-operations-challenges-62/633047/",{"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/order-of-operations-challenges-62/633047.png","ImageObject",300,407,{"name":92,"@type":93},"Genevieve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","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 primary goal of the order of operations challenges?","Question",{"text":112,"@type":113},"The primary goal is to use brackets and arithmetic operations to manipulate given sets of numbers to arrive at a specified target result.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are there multiple ways to solve the provided equations?",{"text":117,"@type":113},"Yes, the document notes that for certain challenges, multiple valid solutions can be found to reach the target number.",{"name":119,"@type":110,"acceptedAnswer":120},"Does this document provide solutions for the practice problems?",{"text":121,"@type":113},"Yes, the document includes a dedicated 'Answers' section that provides worked-out solutions for all twelve challenge questions.","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},633047,1792919583,{"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},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Name Date  \nORDER OF OPERATIONS CHALLENGES 6.2  \nFor each question, use brackets and any of the 4 operations to make 30.  \n| 1) | 5 4 6 1 = 30 |\n| --- | --- |\n| 2) | 10 5 2 7 = 30 |\n| 3) | 2 7 3 12 = 30 |\n| 4) | 3 7 4 5 = 30 |\n| 5) | 12 1 9 4 = 30 |\n\nFor each question, use the digits in the correct places to make the equation correct.  \n\n| 6) | Use numbers 4, 12, 3 and 5. |   +   x   –   = 11 |\n| --- | --- | --- |\n| 7) | Use numbers ½ , 4, 7 and 9. |   x (   +   ) ÷   = 2 |\n| 8) | Use numbers 24, 8, 6 and 3. | (   +   ) x   ÷   = 3 |\n| 9) | Use numbers 9, 5, 4 and 3. |   –   x (   –   ) = -8 |\n| 10) | Use numbers 0.1, 0.6, 3 and 4. |   x (   +   x   ) = 3 |\n\nFor each question, use the numbers in any order along with brackets and any operations to make 24.  \n\n| 11) | Use numbers 2, 6, 3, and 7 | = 24 |\n| --- | --- | --- |\n| 12) | Use the numbers 5, 8, 3 and 4 | = 24 |\n\nName Date  \nORDER OF OPERATIONS CHALLENGES 6.2 ANSWERS  \n| 1) | 5 + 4 x 6 + 1 = 30 |\n| --- | --- |\n| 2) | 10 x (5 x 2 – 7) = 30 |\n| 3) | 2 x 7 x 3 – 12 = 30 |\n| 4) | (3 + 7 – 4) x 5 = 30 |\n| 5) | 12 x (1 + 9) ÷ 4 = 30 |\n\n\n| 6) | Use numbers 4, 12, 3 and 5. | 3 + 5 x 4 – 12 = 11 |\n| --- | --- | --- |\n| 7) | Use numbers ½ , 4, 7 and 9. | ½ x (9 + 7) ÷ 4 = 2 |\n| 8) | Use numbers 24, 8, 6 and 3. | (6 + 3) x 8 ÷ 24 = 3 |\n| 9) | Use numbers 9, 5, 4 and 3. | 4 – 3 x (9 – 5) = -8 |\n| 10) | Use numbers 0.1, 0.6, 3 and 4. | 3 x (0.6 + 4 x 0.1) = 3 |\n\nFor these two challenges, we have provided 2 answers for each; there may be  \nmany more possible solutions.  \n\n| 11) | Use numbers 2, 3, 6, and 7 | 7 x 6 ÷ 2 + 3 = 24 | 3 + 6 x 7 ÷ 2 = 24 |\n| --- | --- | --- | --- |\n| 12) | Use the numbers 3, 4, 5, and 8. | 8 x 4 – 5 – 3 = 24 | 8 x 3 ÷ (5 – 4) = 24 |","cbCaig33j3dpR9V7","https://ap.wps.com/l/cbCaig33j3dpR9V7","pdf",167608,"English","# Order of Operations Challenges 6.2\n## Practice Problems\n## Answer Key","[{\"question\":\"What is the primary goal of the order of operations challenges?\",\"answer\":\"The primary goal is to use brackets and arithmetic operations to manipulate given sets of numbers to arrive at a specified target result.\"},{\"question\":\"Are there multiple ways to solve the provided equations?\",\"answer\":\"Yes, the document notes that for certain challenges, multiple valid solutions can be found to reach the target number.\"},{\"question\":\"Does this document provide solutions for the practice problems?\",\"answer\":\"Yes, the document includes a dedicated 'Answers' section that provides worked-out solutions for all twelve challenge questions.\"}]","Order of Operations Challenges - 6.2 | PDF",1792671452]