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The paper requires detailed working under strict exam conditions (no books, notes, calculators, or assisting materials). Questions cover arithmetic progressions, inequalities, algebraic manipulation with surds, geometry in right-angled triangles, coordinate geometry (gradients, perpendicular lines, intersections), drawing curves and lines on a grid, perimeter of shaded regions, and interpreting a three-year share value table and percentage change over time.",{"@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/lyceum-of-westminster-international-university-in-tashkent-test-c1-july-2015/143260/",{"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/lyceum-of-westminster-international-university-in-tashkent-test-c1-july-2015/143260.png","ImageObject",300,407,{"name":92,"@type":93},"Ava Thompson","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",18,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the exam rules for the Mathematics Test C1?","Question",{"text":113,"@type":114},"Candidates must answer all questions in detail and show all working on the same page as each question. Books, notes, calculators, and any assisting materials are not allowed.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is Question 2 structured?",{"text":118,"@type":114},"It includes parts that solve and/or use inequalities such as 2x²-5x-7\u003C0, and it also combines conditions in part (c).",{"name":120,"@type":111,"acceptedAnswer":121},"What topics are included in the later questions (6 to 8)?",{"text":122,"@type":114},"Question 6 includes drawing a curve and a line on a grid and working with a shaded geometry problem. Question 7 uses a percentage change table over three years, and Question 8 applies daily walking and a 90% reduction each day to find when the distance drops below 0.5 km.","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},143260,1787693983,{"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":19,"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":52},1649267921044,"https://us-avatar.wpscdn.com/avatar/1800007509477c92dfb?_k=1786009248482753345","ENTRANCE TESTLYCEUM OF WESTMINSTER INTERNATIONALUNIVERSITY IN TASKENTMATHEMATICs  \niiimahe…mome…omc出a  \nJuly 2015  \nTest C1  \nTime allowed:One hour 15 minutes  \nANSWER ALL QUESTIONS IN DETAIL,SHOWING ALL YOUR WORKON THE SAME PAGE AS THEQUESTION.  \nNO BOOKS,NOTES,CALCULATORS OR ANY SORT OF ASSISTING MATERIALARE ALLOWED.  \nQuestion 1  \nThree numbers are in an arithmetic progression.Their sum is 15 and their productis 80.Work out the three numbers.  \nCoreore MexaywaoooBetiereuoroxnooneraa Tamehe  \n..   .        ..   ....   .  \nTotal for page 5 marks  \nn nonb3OBaHM9 B HeKOMMepyecKMx uengx  \nQuestion 2  \nFind the set of values of x for which  \n(2 marks)  \n(b)2x²-5x-7\u003C0  \n(2 marks)  \nimuoanr emucaieiovoe7eeooH7AnE出6o  \ncoeeooie MexyHapaoroBecrierepcoroYpcera a Taukehe  \n(c)3(x-2)\u003C8-2x and 2x²-5x-7\u003C0(1 mark)  \nTotal for page 5marks  \nAn nonb30BaHMR B HeKOMMepyeCKMX uengx  \n3rw ieaMeHe0Hue dredn ox0距ECnATHOcaereceryomen caie hitp/yceum wiut uzlyceumndexphpleadmisionlenryrequiemenig  \n# Question 3\n\nExpress 5+√7 in the form m+√7,where m and n are integers.  (3 marks)3-√7  \n(b)  The diagram below shows a right-angled triangle.  \nCo6cTBeHHOCT Me沃AyHapo4HOro BecTMMHCTepCKoroyHMBepCATeTa B TauKeHTe  \nx cm  \n3V2 cm  \nThe hypotenuse has length 2√5 cm.  \nThe other two sides have lengths 3√2 cm and xcm.Find the value of x.(2 marks)  \nTotal for page 5 marks  \nAng nonb3OBaHMR B HeKOMMepyecKMX uengx  \n3w ereaveHaoHue drpu Mox0 BEcATHOokavar2ocneayouen cunmce.htp/yceum wut uzlyceumindexphplenladmistonlentryrequirements  \nQuestion 4  \nThe line AB has equation 3x+5y=11.(a)Find the gradient of the line AB.(1 mark)  \n(b)The point A,has coordinates(2,1).Find an equation of the line whichpasses through the point A and which is perpendicular to AB.  \n(2 marks)  \nCo6cTBeHHOCTb MeAyHapo4HOro BecTMMHCTepCKoro yHMBepcMTeTaB TauKeHTe  \n(c)The line AB intersects the lne with equation 2x+3y=8at the point C.Findthe coordinates of C.(2 marks)  \nAng nonb30BaHMR B HeKOMMepyecKMX uengX  \n3nw ewerehoie druepud nox0 BEcnATHO geer4eocrayome cumke ht/ceum wit uzlyceumndexphplenladmissonlentryrequirements  \n# Question 5\n\nOn the grid below  \n# Question 6\n\na)draw the curve of the equation x²+y²=25  \nThe diagram shows a square of side length xvith two rectangles cut out of it.  \nb)draw the line of the equation y=x+2  \n(You must remember to put a scale on each axis)  \n\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\nr  \nFind the perimeter of the shaded shape in terms of x and y.  \nghw ekeeMeHa0HHe npnwedA MoxHo5ECnIATHOcKeheatbgche3of  \nFind the points of intersection  \nCo6cTBeHHOCTb MexnyHapoAHoro BeCTMHCTepckoro VHuBepcnrera B TaueHTe  \nPoints of intersection……………  ……  \nAns nonb3OBaHM","cbCaioTna0MbxrRt","https://ap.wps.com/l/cbCaioTna0MbxrRt","pdf",870502,"English","# Question 1\n# Question 2\n# Question 3\n# Question 4\n# Question 5\n# Question 6\n# Question 7\n# Question 8","[{\"question\":\"What are the exam rules for the Mathematics Test C1?\",\"answer\":\"Candidates must answer all questions in detail and show all working on the same page as each question. Books, notes, calculators, and any assisting materials are not allowed.\"},{\"question\":\"How is Question 2 structured?\",\"answer\":\"It includes parts that solve and/or use inequalities such as 2x²-5x-7\\u003c0, and it also combines conditions in part (c).\"},{\"question\":\"What topics are included in the later questions (6 to 8)?\",\"answer\":\"Question 6 includes drawing a curve and a line on a grid and working with a shaded geometry problem. Question 7 uses a percentage change table over three years, and Question 8 applies daily walking and a 90% reduction each day to find when the distance drops below 0.5 km.\"}]","Lyceum of Westminster International University in Tashkent - Test C1 - July 2015 | PDF"]