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Geometry tasks include perimeter and rectangle dimensions, angle determination with tangents and parallel lines, coordinate-geometry constraints for right triangles, parabola equation construction, and multiple area-finding exercises involving circles, quarter-circles, hexagons, and shaded regions.",{"@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-7-wiut-prep/143300/",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-7-wiut-prep/143300.png","ImageObject",300,407,{"name":42,"@type":43},"Aurora","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-27","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",21,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What types of math problems are included in the Day 7 WIUT question set?","Question",{"text":63,"@type":64},"The set includes algebra (linear equations, parameters, logarithms, factoring, parabola equations), arithmetic sequences, inequality solving, and geometry/coordinate geometry (perimeter and dimensions, perpendicular lines, tangents, angles, and area of regions).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do the parameter problems work in this set?",{"text":68,"@type":64},"Questions like “for what value of K” or “find r” specify a condition such as producing one solution or tangency/perpendicularity, so you solve using the relevant algebraic constraints until the condition is met.",{"name":70,"@type":61,"acceptedAnswer":71},"What geometry topics appear in the Day 7 problems?",{"text":72,"@type":64},"Geometry topics include rectangles from perimeter, tangents to circles and angle size, perpendicular lines, right-triangle verification using coordinates, and multiple area computations involving semicircles, quarter-circles, regular hexagons, and shaded regions.","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},143300,1787694287,{"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":144},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Day 7 . Question set.  \nQ1 . Solve ( ~~1~~2)6−x = 32  \nQ2 . For what value of K does the equation 2x + Kx = 3 have one solution?  \nQ3 . The length of a rectangular field is ~~7~~5 its width. If the perimeter of the field is 240 meters, what are the length and width of the  \nfield?  \nQ4 . Find  \nx y  \nin the following system of equations:  \nx −  \n2  \nx +  \n+ y3 = 0 6y = 16  \nQ5 . In an arithmetic sequence, the −35 . Find the 30th term.  \n1st term is 7 and the 15th term is  \nQ6 . 2 log4 x + 3 = 0  \nQ7 . Sara has purchased 20 books . The 1st book costs $1 , the 2nd −$2 , the 3rd−$4 and so on. How much did Sara pay for the 20 books .  \nQ8 . John's annual salary after a raise of 15% is $46, 000 . What was his initial salary?  \nQ9 . Find M so that the lines with equations  \n−2x + My = 5 and 4y + x = −9 are perpindicular.  \nQ10 . In the diagram below, AB ∥CD . Find the length of the segment OC .  \nQ11 . Find four consecutive even integer numbers whose sum is 388 .  \nQ12 .It took Malcom 3 .5 hours to drive from city A to city B. On his way back to city A, he increased his speed by 20 km per hour and it took him 3 hours .  \nQ13 . Find the equation of the parabola with vertex (2, −1) passing through the point (4, 7) .  \nQ14 . AD and AC are tangent to the circle . Find the size of the angle  \nQ15 . Solve the following inequality:  \n~~x~~x~~ ~~~~ 1~~2 − 1 ≥ x~~ ~~~~ ~~1  \nQ16 . Factor the polynomial: P (x) = x3 − 4x2 − 7x + 10  \nQ17 . If AB ∥CD , find the area of the circle .  \n10  \nQ18 . If the area of the larger quarter-circle is twice the area of the smaller quarter-circle, find the area of the colored region:  \nQ19 . Find the exact area of a regular hexagon inscribed in a circle of radius R = 10 .  \nQ20 . Find Y so that the points A (0, 0) , B (2, 2) and C (−4, Y ) are the vertices of a right triangle with the hypotenuse AC.  \nQ21 . Find r such that the line x + y = r x2 + y 2 = 4  \nQ22 . Find the size of the angle CED:  \nis tangent to the circle  \nQ23 . Find r so the line x + y = r is tangent to the circle x2 + y 2 = 4  \nQ24 . Given a semicircle and square . Find the area of the shaded region:  \nQ25 . Calculate the area of the rectangle in the image below if the diameter of the semicircle is 12 cm.  \nQ26 . Find the area of the green region:  \n1 cm  \nQ27 . Find the area of the square in the figure below.  \nQ28 . Compute the area of the circle in the given diagram:","cbCaidYPQGCkeKm2","https://ap.wps.com/l/cbCaidYPQGCkeKm2","pdf",710694,"English","# Question Set\n## Algebra and Functions\n## Geometry and Coordinate Geometry","[{\"question\":\"What types of math problems are included in the Day 7 WIUT question set?\",\"answer\":\"The set includes algebra (linear equations, parameters, logarithms, factoring, parabola equations), arithmetic sequences, inequality solving, and geometry/coordinate geometry (perimeter and dimensions, perpendicular lines, tangents, angles, and area of regions).\"},{\"question\":\"How do the parameter problems work in this set?\",\"answer\":\"Questions like “for what value of K” or “find r” specify a condition such as producing one solution or tangency/perpendicularity, so you solve using the relevant algebraic constraints until the condition is met.\"},{\"question\":\"What geometry topics appear in the Day 7 problems?\",\"answer\":\"Geometry topics include rectangles from perimeter, tangents to circles and angle size, perpendicular lines, right-triangle verification using coordinates, and multiple area computations involving semicircles, quarter-circles, regular hexagons, and shaded regions.\"}]","DAY 7 - WIUT PREP | PDF",23]