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Includes instruction on time management and working methods, with requirements to present rough calculations and no calculator use. Questions require solving for unknowns, finding maximum values from sinusoidal functions, drawing graphs of linear equations, and interpreting trapezium angle relationships, alongside number and digit-rearrangement word problems.",{"@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/westminster-international-university-in-tashkent-entrance-exam-set-mathematics-2005-2007/142978/",{"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/westminster-international-university-in-tashkent-entrance-exam-set-mathematics-2005-2007/142978.png","ImageObject",300,407,{"name":92,"@type":93},"Logic","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-06","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 tools are allowed for the exam and are calculators permitted?","Question",{"text":113,"@type":114},"Bring only writing materials such as pens, pencils, erasers, and rulers. No calculators are allowed.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are rough calculations expected to be handled?",{"text":118,"@type":114},"All rough calculations must be presented, and answers without evidence of calculations will not receive marks.",{"name":120,"@type":111,"acceptedAnswer":121},"Which types of math topics appear in the questions?",{"text":122,"@type":114},"The paper includes algebra (including simultaneous and quadratic equations), trigonometry, arithmetic progression problems, and geometry tasks such as triangles, trapeziums, and angle calculations.","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},142978,1787692133,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","# 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|  |  ","cbCairtcCoiWToOq","https://ap.wps.com/l/cbCairtcCoiWToOq","pdf",150028,25,"English","# Instructions\n## M11\n## M12\n## M13\n## M14","[{\"question\":\"What tools are allowed for the exam and are calculators permitted?\",\"answer\":\"Bring only writing materials such as pens, pencils, erasers, and rulers. No calculators are allowed.\"},{\"question\":\"How are rough calculations expected to be handled?\",\"answer\":\"All rough calculations must be presented, and answers without evidence of calculations will not receive marks.\"},{\"question\":\"Which types of math topics appear in the questions?\",\"answer\":\"The paper includes algebra (including simultaneous and quadratic equations), trigonometry, arithmetic progression problems, and geometry tasks such as triangles, trapeziums, and angle calculations.\"}]","Westminster International University in Tashkent - Entrance Exam Set - Mathematics 2005-2007 | PDF",63]