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The set further applies circle and ring geometry, chord tangency, quadrant radius, and composite area/ratio problems using the provided figures.",{"@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-12-wiut-prep-question-set/143294/",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-12-wiut-prep-question-set/143294.png","ImageObject",300,407,{"name":42,"@type":43},"Aurora","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-22","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",23,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What topics are included in the Day 12 WIUT prep question set?","Question",{"text":63,"@type":64},"It includes algebra, quadratic and exponential equations, trigonometry (including exact values and inequalities), and geometry problems involving lengths, areas, and circle/ring configurations.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are some problems structured regarding equations and systems?",{"text":68,"@type":64},"Several questions ask to solve specific equations, determine unknown parameters, or compute expressions such as 2x+4y given a pair of linear equations.",{"name":70,"@type":61,"acceptedAnswer":71},"What kinds of geometry calculations appear in the set?",{"text":72,"@type":64},"The set includes composite figure area and ratio questions, chord tangency in concentric circles leading to ring area, and quadrant/circle area problems that use the radii or segment lengths from the diagram.","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},143294,1787694260,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":116,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":55},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Day 12 . Question set  \nQ1 . Find the value of x in lines L 1  \nand L2 are parallel:  \nQ2 . If is an odd integer, which of the following expressions is even?  \na) n2  \nb) n2 + 1  \nc) 3n2 − 1  \nQ3 . Find the minimum value of the function f (x) = ∣x∣ − 1  \nQ4 . Compute the value of x:  \nQ5 . Simplify: ~~x~~23x~~4~~3  \nQ6 . Find 2x + 4y  \nif  \n3x + 5y = 5 x + 3y = 20  \nQ7 . If BC = 10, AC = 12 and AN = 8 , find the length of BM :  \nQ8 . For what values of b and c does the equation x2 + bx = c have solutions x = 2 and x = −3 ?  \nQ9 . Find the sum of the first 5 powers of 3 .  \nQ10 . The total area of the composite figure below is 240 . Find the length of segment.  \nQ11 . Solve: cos x ≥ ~~√~~2~~2~~ ; 0 ≤ x ≤ 2π  \nQ12 . Find the ratio of the smaller root to the bigger one in the  \nequation x2 + ~~√2~~2−~~ 1~~ x − ~~√~~4~~2~~ = 0 Q13 . Find the exact value of tan ( ~~ 13π~~12 )  \nQ14 . If 0 \u003C n \u003C 1 , which of the following statements os true?  \na) n2 − n \u003C 0  \nb) n3 \u003C n  \nQ15 . Solve the following exponential equation: e −6x − 2e−4x − e~~5~~2x + 6 = 0  \nQ16 . Find the value of x:  \nQ17 . Find the equation of the polynomial function g whose degree is 4 and whose graph is shown below, touching the x-axis at x = −1 :  \nQ18 . Let x 1 , x2 be the roots of the equation x2 − 3x + a = 0 andy 1 , y 2 be the roots of the equation x2 − 12x − b . If x 1 , x2 , y 1 , y 2 form an increasing geometric progression in this order, determine the value of ab.  \nQ19 . If ABCD triangle:  \nis a square and AE = 6 , find the area of the  \nQ20 . Find the sum of solutions satisfying the following equation: sin2 x − (√3 + 1) sin x cos x + √ 3 cos x = 0 , given x ∈ [0, π]  \nQ21 . If ~~a~~b = √2 + 1 , find the SS~~2~~1 :  \nQ22 . Find the unknown length of the rectangle in the image  \nbelow:  \nQ23 . Find the length of segment AB :  \nsemicircle  \nquadrant  \nQ24 . A small circle of radius r and a large circle of radius Rare concentric. The length of the chord in the large circle that is tangent to the smaller circle is equal to 20 mm . What is the area of the ring between the two circles?  \nQ25 . Find the area of the yellow region:  \nQ26 . Find the radius of the quadrant:  \n6  \n5  \nQ27 . The composite shape in the figure below consists of a circle and three squares . Find the area of the circle .  \nQ28 . Find the ratio of the yellow region's area to the blue region's one:","cbCaihzr1jza5hAl","https://ap.wps.com/l/cbCaihzr1jza5hAl","pdf",861965,"English","# Question Set\n## Algebra and Functions\n## Equations and Trigonometry\n## Geometry and Areas","[{\"question\":\"What topics are included in the Day 12 WIUT prep question set?\",\"answer\":\"It includes algebra, quadratic and exponential equations, trigonometry (including exact values and inequalities), and geometry problems involving lengths, areas, and circle/ring configurations.\"},{\"question\":\"How are some problems structured regarding equations and systems?\",\"answer\":\"Several questions ask to solve specific equations, determine unknown parameters, or compute expressions such as 2x+4y given a pair of linear equations.\"},{\"question\":\"What kinds of geometry calculations appear in the set?\",\"answer\":\"The set includes composite figure area and ratio questions, chord tangency in concentric circles leading to ring area, and quadrant/circle area problems that use the radii or segment lengths from the diagram.\"}]","DAY 12 - WIUT PREP - Question Set | PDF"]