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The questions are sequential and numbered from Q1 to Q28, indicating a structured assessment or review session. The document appears to be a compilation of challenging mathematical problems designed to test a student's understanding of various concepts and problem-solving skills, including simplification of expressions, solving equations, coordinate geometry, and geometric properties.",{"@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/day-11-question-set/143296/",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/day-11-question-set/143296.png","ImageObject",300,407,{"name":42,"@type":43},"Aurora","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-20","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What mathematical topics are covered in this question set?","Question",{"text":63,"@type":64},"The question set covers a broad range of mathematical topics including algebra, geometry, functions, logarithms, sequences, and equation solving.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Are there any visual aids provided with the questions?",{"text":68,"@type":64},"Yes, several questions are accompanied by diagrams to help illustrate the geometric or algebraic problems being presented.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the purpose of this document?",{"text":72,"@type":64},"This document appears to be a set of practice problems or an exam preparation material designed to test students' knowledge and problem-solving skills in various areas of mathematics.","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},143296,1787694270,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":91,"language":92,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":93,"faqs":94,"seo_title":95,"seo_description":12,"update_tm":80,"read_time":96},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Day 11 . Question set  \nQ1 . Find the value of n in the equation below:( ~~a~~b)n−1 = ( ~~b~~a)n−3 ; a  0 , b  0  \nQ2 . Calculate ~~4! ~~−2!~~ 2!~~​  \nQ3 . How can (0 .25)0.25  \na) √2 4  \nb) √2~~2~~  \nc) √2  \nbe simplified?  \nQ4 . Find the unknown side of the shape below:  \n3m  \n\n| \u003Cbr>5m |\n| --- |\n| |\n\nx  \n4m  \nQ5 . What is the maximum value of f (x) = x2 − 4x + 5 ?  \nQ6 . Find x:  \nQ7 . Solve for x : log2 (x − 3) + log2 (x − 5) = 3  \nQ8 . If x − y = 3  \n√x2 − y 2 ?  \nand x + y = 27 , then what's the value of  \nQ9 . If ~~a~~b = ~~2~~3 , find ~~5a~~2a~~3b~~b  \nQ10 . The first term of a geometric sequence is 10 and the common ratio is-2 . Find the sixth term of the sequence .  \nQ11 . If f (x) = x2 + 4x + 4 and g (x) = x + 1 , find f (g (2))  \nQ12 . Find x:  \nQ13 . Find the value of the real parameter a, for which the equation (a − 2) x = (a − 2)2 has infinitely solutions .  \nQ14 . Find the maximum value of the function  \nf (x) = ( ~~ 1~~2)  \nx2 +6x+9  \nQ15 . What is the value of x in the figure below?  \nx  \nQ16 . Solve the following equation:  \n√x − 3 + √2x + 1 = √3x + 4  \nQ17 . Determine the value of x:  \nQ18 . Solve for x: 9x − 3x+1 + 2 > 0  \nQ19 . Find the radius if the bigger circle:  \nQ20 . What value does √x + √x + √x + ... converge to?  \nQ21 . What is the equation of the circle concentric with the circle (x − 2)2 + (y + 1)2 = 5 that is tangent to the line  \n2x − y + 2 = 0?  \nQ22 . Find all real solutions to the equation: log4 (2x2 + 3x + 1) ≤ log2 (2x + 2)  \nQ23 . Find the area of the blue region, given that AB + AD = 10cm:  \nQ24 . Find SS~~2~~1 :  \nS2 S1  \nQ25 . Find the area of the trapezoid:  \nQ26 . Given a rectangle, where point M is the midpoint of BC and AM = 10 . Find the area of the pink triangle .  \nQ27 . Find the area of the trapezoid in the figure below:  \nQ28 . If the triangle circumscribed around the white circle with the area of 4 is equilateral, find the red circle's area .","cbCaio8d2MCFb4V0","https://ap.wps.com/l/cbCaio8d2MCFb4V0","pdf",1955869,7,"English","# Day 11 - Question Set\n# Q1. Find the value of n in the equation below:\n# Q2. Calculate ~~4! ~~−2!~~ 2!~~​\n# Q3. How can (0 .25)0.25  be simplified?\n# Q4. Find the unknown side of the shape below:\n# Q5. What is the maximum value of f (x) = x2 − 4x + 5 ?\n# Q6. Find x:\n# Q7. Solve for x : log2 (x − 3) + log2 (x − 5) = 3\n# Q8. If x − y = 3 and x + y = 27 , then what's the value of √x2 − y 2 ?\n# Q9. If ~~a~~b = ~~2~~3 , find ~~5a~~2a~~3b~~b\n# Q10. The first term of a geometric sequence is 10 and the common ratio is-2 . Find the sixth term of the sequence .\n# Q11. If f (x) = x2 + 4x + 4 and g (x) = x + 1 , find f (g (2))\n# Q12. Find x:\n# Q13. Find the value of the real parameter a, for which the equation (a − 2) x = (a − 2)2 has infinitely solutions .\n# Q14. Find the maximum value of the function f (x) = ( ~~ 1~~2)  x2 +6x+9\n# Q15. What is the value of x in the figure below?\n# Q16. Solve the following equation:\n# Q17. Determine the value of x:\n# Q18. Solve for x: 9x − 3x+1 + 2 > 0\n# Q19. Find the radius if the bigger circle:\n# Q20. What value does √x + √x + √x + ... converge to?\n# Q21. What is the equation of the circle concentric with the circle (x − 2)2 + (y + 1)2 = 5 that is tangent to the line 2x − y + 2 = 0?\n# Q22. Find all real solutions to the equation: log4 (2x2 + 3x + 1) ≤ log2 (2x + 2)\n# Q23. Find the area of the blue region, given that AB + AD = 10cm:\n# Q24. Find SS~~2~~1 : S2 S1\n# Q25. Find the area of the trapezoid:\n# Q26. Given a rectangle, where point M is the midpoint of BC and AM = 10 . Find the area of the pink triangle .\n# Q27. Find the area of the trapezoid in the figure below:\n# Q28. If the triangle circumscribed around the white circle with the area of 4 is equilateral, find the red circle's area .","[{\"question\":\"What mathematical topics are covered in this question set?\",\"answer\":\"The question set covers a broad range of mathematical topics including algebra, geometry, functions, logarithms, sequences, and equation solving.\"},{\"question\":\"Are there any visual aids provided with the questions?\",\"answer\":\"Yes, several questions are accompanied by diagrams to help illustrate the geometric or algebraic problems being presented.\"},{\"question\":\"What is the purpose of this document?\",\"answer\":\"This document appears to be a set of practice problems or an exam preparation material designed to test students' knowledge and problem-solving skills in various areas of mathematics.\"}]","Day 11 - Question Set | PDF",18,{"code":4,"msg":82,"data":98},[99,103,107,110,115,120,124,129,134,137,141],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},5,"Comic",60,"comic",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},6,"Technology",50,"technology",{"id":91,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},"Healthcare",40,"healthcare",{"id":125,"doc_module":4,"doc_module_name":25,"category_name":126,"show_sort_weight":127,"slug":128},8,"Research & Report",30,"research-report",{"id":130,"doc_module":4,"doc_module_name":25,"category_name":131,"show_sort_weight":132,"slug":133},9,"Religion & Spirituality",20,"religion-spirituality",{"id":132,"doc_module":4,"doc_module_name":25,"category_name":135,"show_sort_weight":132,"slug":136},"World Cup","world-cup",{"id":138,"doc_module":4,"doc_module_name":25,"category_name":139,"show_sort_weight":138,"slug":140},10,"Lifestyle","lifestyle",{"id":142,"doc_module":4,"doc_module_name":25,"category_name":143,"show_sort_weight":111,"slug":144},19,"General","general"]