[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144052-105":59,"doc-detail-144052-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","wuit-2010-january-entrance-test-mathematics","WUIT 2010 January - Entrance Test Mathematics","","Entrance test Mathematics January 2010 sample for self-financed students, scheduled for one hour ten minutes with instructions to answer all questions and work quickly. The paper prohibits calculators and requires all rough calculations to be shown on blank pages. It includes arithmetic progression sum formulas, equation solving, word problems on ages, linear equations graphing to find triangle areas, geometric circle angle problems, number collection by increasing daily amounts, and additional exam questions with clearly defined answers.",{"@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/wuit-2010-january-entrance-test-mathematics/144052/",{"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/wuit-2010-january-entrance-test-mathematics/144052.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",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the key exam rules for the Mathematics January 2010 entrance test?","Question",{"text":113,"@type":114},"The test requires answering all questions, working quickly, and showing rough calculations. Calculators are not allowed, and rough work must be done on the exam paper’s blank pages.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What topics appear in the sample questions?",{"text":118,"@type":114},"The sample includes arithmetic progression sum, solving equations, age and sum word problems, and coordinate geometry tasks such as drawing graphs and finding triangle areas.",{"name":120,"@type":111,"acceptedAnswer":121},"How are geometry problems presented in the paper?",{"text":122,"@type":114},"Geometry includes circle-angle questions where given angles like ∠BAD, ∠ACD, and ∠DBC must be used to find multiple requested angles.","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},144052,1787698101,{"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":56,"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":144},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 2010  \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.  \nNothing should be removed from the exam room.  \nThe sum S of n terms of an arithmetic progression a, a+d, a+2d, a+[3d...](3d... is)[ is](3d... is)  \nS = n2 [2a + (n − 1)d ]  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES  \nA set of entrance exams for self‐financed students Mathematics 2010  \nQuestion 1  \nFind x if x = x~~ ~~~~ ~~2  \nAnswer: x = and  \nQuestion 2  \nAnswer: A =  \nQuestion 3 v  \nAnna is n years old. Boris, her brother, is 9 years older than Anna. Their mother is 3 times as old as Anna. Their father is 2 times as old as Boris. If the sum of the ages of the family members is 135½, find a) how old is the father and b) how old was the mother when Boris was born?  \nAnswer: a) , b)  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES 2  \nA set of entrance exams for self‐financed students Mathematics 2010  \nQuestion 4  \nDraw the graphs of 5y = 3(x+3) and 3x+y = 15, clearly showing the point where they meet and hence calculate the area of the triangle formed by these two lines and the x-axis  \nX=1, y = 5  \nQuestion 5  \nIshmael decided to put in a box one Uzbek soum the first day, two soum the second day, three soum the third day and so on, increasing by one soum the amount he set aside every day. After how many days will he have collected 10,000 soum?  \nAnswer: He will pass 10,000 soum in day  \nQuestion 6  \nA circle passes through A, B, C and D. Angles ∠ BAD = 110 o, ∠ ACD = 37o and ∠ DBC = 51o. Find  \n∠ ADB, ∠ CFB, ∠ BAC and ∠ AED.  \nA B  \nAnswer: ∠ ADB = , ∠ CFB =  \n∠ BAC = and ∠ AED =  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES 3  \nA set of entrance exams for self‐financed students Mathematics 2010  \nMathematics  \nFebruary 2010  \nQuestion 1  \nFind x if (2x-10)2 – 8(2x-10) = 84  \nAnswer: x = and  \nQuestion 2  \n8 + 2x 7x − 130 Find x when ~~ ~~x~~ ~~−~~  ~~3~~ ~~3~~  ~~ − 3 = 3x2 + ~~ ~~2x~~ ~~+~~  ~~2~~ ~~3~~  ~~  \nAnswer: x =  \nQuestion 3  \nA box contains yellow and white tennis balls. Half the number of white balls equals a third of the number of yellow balls. Also, twice the whole number of balls exceeds three times the number of yellow balls by four. How many balls does the box contain?  \nexceeds = more than  \nAnswer: The box has balls  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES 4  \nA set of entrance exams for self‐financed students Mathematics 2010  \nQuestion 4  \nDraw the lines 3x = 2y and 2x-y = 4 using the same axes and hence find the area of the triangle formed by these two lines and the x-axis.  \nX=1, y = 5  \nAnswer: Area is  \nQuestion 5  \nA trader bought eggs, oranges and apples to sell in the market. He paid 50,000 (fifty thousand) soum for the eggs and 100,000 sum for the oranges. He sold the eggs at a 19% profit and the oranges at a 10% profit, but made a 5% loss on the apples. When he did his final calculations he found that he had made an overall gain of 4% . How much did he sell the apples for?  \nAnswer: He sold the apples for soum  \nQuestion 6  \nFind the value of the angles marked α, β, θ and φ in the diagram below, where ABCD, ECF and GBH are all straight lines  \nAnswer: α = , β = ,θ = , and φ =  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES 5  \nA set of entrance exams for self‐financed students Mathematics 2010  \nMathematics  \nMarch 2010  \nQuestion 1  \nFind x if (x-9)2 – 2(x-9) -3 = 0  \nAnswer: x = and  \nQuestion 2  \nFind A when A =  a + 3 × a 2 − 2a − 3 × a −1  × ","cbCaid8qcHazecSk","https://ap.wps.com/l/cbCaid8qcHazecSk","pdf",425063,"English","# Mathematics\n## Instructions and exam rules\n## Sample questions (January 2010)","[{\"question\":\"What are the key exam rules for the Mathematics January 2010 entrance test?\",\"answer\":\"The test requires answering all questions, working quickly, and showing rough calculations. Calculators are not allowed, and rough work must be done on the exam paper’s blank pages.\"},{\"question\":\"What topics appear in the sample questions?\",\"answer\":\"The sample includes arithmetic progression sum, solving equations, age and sum word problems, and coordinate geometry tasks such as drawing graphs and finding triangle areas.\"},{\"question\":\"How are geometry problems presented in the paper?\",\"answer\":\"Geometry includes circle-angle questions where given angles like ∠BAD, ∠ACD, and ∠DBC must be used to find multiple requested angles.\"}]","WUIT 2010 January - Entrance Test Mathematics | PDF",48]