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Calculations must be shown and no calculators are allowed, with all rough work kept on blank pages.",{"@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/westminster-international-university-in-tashkent-mathematics-entrance-exam-2005-2007-practice-questions/143976/",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/westminster-international-university-in-tashkent-mathematics-entrance-exam-2005-2007-practice-questions/143976.png","ImageObject",300,407,{"name":42,"@type":43},"Eden","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",21,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the key exam rules for the Westminster International University in Tashkent mathematics entrance exam?","Question",{"text":63,"@type":64},"Work quickly within the allotted one hour ten minutes. Show all rough calculations, no evidence means no marks, and no calculators are allowed. Use the provided blank pages for rough work and do not remove anything from the room.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of mathematics problems are included?",{"text":68,"@type":64},"The paper includes solving linear and quadratic equations, simultaneous equations, drawing graphs of straight lines, trigonometric equations for angles, arithmetic progression and series sums, and geometry involving triangles, trapeziums, and area calculations.",{"name":70,"@type":61,"acceptedAnswer":71},"How are calculations and answers expected to be presented?",{"text":72,"@type":64},"Rough calculations must be presented, and answers without evidence of calculations do not earn marks. Graphs must be drawn clearly for the specified lines and intersection points when required.","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},143976,1787697797,{"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":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":80,"read_time":145},1374391974468,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","# Westminster International University in TashkentA set of entrance exams onMathematics\n\n2005-2007  \nTime allowed:One hour ten minutes  \nAnswer all questions.  \nIt is advised that you work quickly and that you leave behind questionsthat are taking you too long to answer.  \nYou should only bring in writing material (pens,pencils,erasers,rulers).No calculators are allowed.  \nAll your rough calculations have to be presented.Answers with noevidence 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.  \nM11  \n## Question 1\n\nAnswer x=  \n## Question 2\n\nThe curve with equation y=3+k sinx,where kis a constant,passes through the point withcoordinates  \na)Find the value of k and b)find the largest value of y.  \nAnswer:a)k=     \n;b)max y=  \n## Question 3\n\nAnna,Bakhrom,Caterina and Dildora have 27,000 Uzbek cym between them;Anna hasthree times as much as Caterina,and Bakhrom five times as much as Dildora;also,Annaand Bakhrom together have 5,000 cym less than eight times what Caterina has.Find howmuch each has.  \n## Question 4\n\na)Solve the simultaneous equations x+y=7 and x²+y²=49;  \nb)Draw the graph ofx+y=7.  \nAnswer:a)x=  and y=  or x=  and y=  \n## Question 5\n\nThe sum of five numbers in arithmetic progression is 40 and the sum of their squares is410;find the five numbers.  \nAnswer:The 5 numbers are ,  ,  ,  ,  \n## Question 6\n\nAn equilateral triangle has sides of length 6 meters.On each side of the triangle a square isdrawn external to the triangle.Find the area of the complete figure.  \n√3=1.73  \nM12  \n## Question 1\n\nSolve  \nAnswer x=,  \n## Question 2\n\nFindall angles 0 x p for which a)cos3x=05 and b)  \nAnswer a)x=  or or ;b)x=  \n## Question 3\n\nA number consists of three digits,the right-hand one being zero.If the left-hand and themiddle digits are interchanged the number becomes smaller by 180;if the left-hand digit ishalved and the middle and right-hand digits are interchanged the number becomes smallerby 454.Find the number.  \nEntrance exam set  \n## Question 4\n\nc)Solve the simultaneous equations3x+6y=456x-3y=45  \nd)Draw the graph of the two lines above,clearly showing the point of intersection.  \nAnswer:a)x=    and y=  \n## Question 5\n\nThe last term of an arithmetic progression is ten times the first,and the last but one term isequal to the sum of the 4 and the 5ᵗ.Find the number of terms.  \nAnswer:Number of terms=  \n## Question 6\n\nABCD is a trapezium with AB parallel to CD and BC=AD.The diagonals AC and BDmeet at P.If angle ACD=40°,find angle ABD and angle APD.  \nM13  \nQuestion 1Solve x²+x-12=0.  \nAnswer x=   or  \nQuestion 2  \nEaluate  \nAnswer E=  \n## Question 3\n\nA dealer bought a horse,expecting to sell it at a 10%profit,but he was forced to sell it for5000 cym less than he expected.When he calculated what had happened,he found he hadlost 15%on what the horse cost him.What did he pay for the horse?  \nQuestion 4  \ne)Solve the simultaneous equations x+2y=13 and 3x+y=14;  \nf)Draw the graph of 3x+y=14.  \n\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  ","cbCaiooEjgZrJ6dG","https://ap.wps.com/l/cbCaiooEjgZrJ6dG","pdf",197171,25,"English","# Instructions\n# Question 1\n# Question 2\n# Question 3\n# Question 4\n# Question 5\n# Question 6","[{\"question\":\"What are the key exam rules for the Westminster International University in Tashkent mathematics entrance exam?\",\"answer\":\"Work quickly within the allotted one hour ten minutes. Show all rough calculations, no evidence means no marks, and no calculators are allowed. Use the provided blank pages for rough work and do not remove anything from the room.\"},{\"question\":\"What types of mathematics problems are included?\",\"answer\":\"The paper includes solving linear and quadratic equations, simultaneous equations, drawing graphs of straight lines, trigonometric equations for angles, arithmetic progression and series sums, and geometry involving triangles, trapeziums, and area calculations.\"},{\"question\":\"How are calculations and answers expected to be presented?\",\"answer\":\"Rough calculations must be presented, and answers without evidence of calculations do not earn marks. Graphs must be drawn clearly for the specified lines and intersection points when required.\"}]","Westminster International University in Tashkent Mathematics Entrance Exam 2005-2007 - Practice Questions | PDF",63]