[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144030-105":59,"doc-detail-144030-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","wiut-maths-exam-january-2013","WIUT maths exam January 2013","","Mathematics entrance test paper for January 30, 2013, designed as a one-hour-ten-minutes assessment. The exam gives strict instructions: answer all questions, work quickly, show all rough calculations, write answers neatly under each question, and do not use calculators. The questions cover algebraic solving, logarithms, simultaneous equations, geometry with right angles and unknown lengths/segments, and coordinate intersection and graphing, plus a grade-average word problem requiring determination of class composition.",{"@graph":69,"@context":123},[70,84,106],{"@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/wiut-maths-exam-january-2013/144030/",{"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/wiut-maths-exam-january-2013/144030.png","ImageObject",300,407,{"name":92,"@type":93},"Seraphina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the exam rules about calculators and working shown?","Question",{"text":113,"@type":114},"Calculators are not allowed. All rough calculations must be presented, and answers must be written neatly under the corresponding question to earn marks.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What topics are covered in the mathematics entrance test?",{"text":118,"@type":114},"The paper includes algebraic equation solving, simultaneous equations, logarithm calculations, geometry involving right angles and lengths, graphing/intersections, and an averages-based grading word problem.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the graphing question in Question 4 supposed to be handled?",{"text":122,"@type":114},"Find the two intersection points of the given line and curve, then draw both for the range -0.5 \u003C x \u003C 2.5, clearly marking the intersection points and the curve’s turning point.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},144030,1787698017,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":39},962075114101,"https://ap-avatar.wpscdn.com/avatar/e000253a75eb197efd?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780044092746381165","Entrance test  \nMathematics  \nJanuary 30, 2013  \nTime allowed: One hour ten minutes  \nAnswer all questions.  \nIt is advised that you work quickly and that you leave behind questions that are taking you too long to answer.  \nYou should only bring in writing material (pens, pencils, erasers, rulers).  \nNo calculators are allowed.  \nAll your rough calculations have to be presented. Answers with no evidence of calculations will not score any marks.  \nUse the blank pages of the exam paper to do your rough work, THEN write your answer neatly under the question. Answers that are not written under the question neatly may not get marked.  \nNothing should be removed from the exam room.  \nlog 5 a = b ⇒ a = 5 b  \nlog 5 ab = blog 5 a  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES  \nJanuary 2013  \nQuestion 1 Find x when xx22~~ ~~~~ ~~3x3x~~ ~~~~ ~~55 = ~~ ~~2x2x22~~ ~~~~ ~~xx~~ ~~~~ ~~33 .  \nAnswer: x = or or  \nQuestion 2 a) Find x andy when 2 x−y = 8 and 3 x −y = 1  \n2 1 1 2 1 1  \nb) Find A = (a  3 − a  3 b 3 + b  3 )(a  3 + b  3 ) when a = 1456 and b = 557  \nAnswer: a) b) A =  \nQuestion 3 In the figure below, ∠ ABC = ∠ BCD = ∠ CDA = ∠ DAB = ∠ BFG = 90O, ∠ ABG =∠ GBF, AB = 5cm and BC = 3cm. Find a) DF and b) AG  \nA B  \nG  \nD F C  \nAnswer: DF = and AG =  \nQuestion 4 The line y = 2(1-x) meets the curve y = (x-1)(x-2) at two points. a) Find these two points and b) draw the curve and the line for -0.5\u003Cx\u003C2.5, clearly showing the two points and the curve’s turning point.  \nQuestion 5 In a class of 50 students the boys obtained an average grade of 80 points for the Maths test and the girls obtained an average grade of 90 points for the same test. If the boys had scored 5% more on average and the girls had scored 10% more on average, then the whole class would have got 350 extra points. How many boys are there in this class?  \nAnswer: There are boys in the class  \nQuestion 6 Find the value of log5625 + log56252 + log56253 +…+ log5625n when n = 30  \nAnswer: The value is","cbCaij2JTr1Tx70o","https://ap.wps.com/l/cbCaij2JTr1Tx70o","pdf",154994,"English","# Question 1\n# Question 2\n## Part a\n## Part b\n# Question 3\n## Part a\n## Part b\n# Question 4\n# Question 5\n# Question 6","[{\"question\":\"What are the exam rules about calculators and working shown?\",\"answer\":\"Calculators are not allowed. All rough calculations must be presented, and answers must be written neatly under the corresponding question to earn marks.\"},{\"question\":\"What topics are covered in the mathematics entrance test?\",\"answer\":\"The paper includes algebraic equation solving, simultaneous equations, logarithm calculations, geometry involving right angles and lengths, graphing/intersections, and an averages-based grading word problem.\"},{\"question\":\"How is the graphing question in Question 4 supposed to be handled?\",\"answer\":\"Find the two intersection points of the given line and curve, then draw both for the range -0.5 \\u003c x \\u003c 2.5, clearly marking the intersection points and the curve’s turning point.\"}]","WIUT maths exam January 2013 | PDF"]