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The exam lasts one hour ten minutes and requires all questions to be answered with complete working shown. Calculators are not allowed, and answers must be written in the spaces provided. Questions cover circle geometry with tangents, proportionality of shadow length to height, standard form calculations for large numbers, algebraic age problems, solving equations, perimeter and rectangle side lengths, cycling lap timing, and graphing/parabola-line intersection from given functions.",{"@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-mathematics-entrance-test-march-2015/143988/",{"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-mathematics-entrance-test-march-2015/143988.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",24,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the key exam rules for this Mathematics entrance test?","Question",{"text":113,"@type":114},"The exam allows one hour ten minutes. 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Using the lamppost height 5.0 m and shadow length 2.0 m, the woman’s shadow length is determined from the proportional relationship.",{"name":120,"@type":111,"acceptedAnswer":121},"Which topics are assessed in the later questions?",{"text":122,"@type":114},"The paper includes solving equations and simultaneous equations, calculating lengths using rectangle perimeter, timing based on cycle lap speeds, and using graphs to find intersection values between a parabola and a line.","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},143988,1787697849,{"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},962075114765,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Entrance test for  \nWestminster International University in Tashkent  \nMathematics  \nMarch 2015  \n􀁸 Time allowed: One hour ten minutes  \n􀁸 Answer all questions.  \n􀁸 It is advised that you work quickly and that you leave behind questions that are taking you too long to answer.  \n􀁸 You should only bring in: pens, pencils, erasers, rulers, protractors.  \n􀁸 No calculators are allowed.  \n􀁸 All your working must be presented. Answers with no evidence of calculations will not score any marks.  \n􀁸 Write your answers in the spaces below the questions.  \n􀁸 Nothing should be removed from the exam room.  \nCandidate Name:  \n………………………………………………………………  \nAll questions on this paper must be answered.  \nWrite the answers in the space below each question.  \nShow ALL working for each question.  \n1.  \nIn this diagram C is the centre of the circle and PT is a tangent to the circle. CT = 5 cm and PT = 12 cm.  \nWhat is the length of CP?  \nTotal 4 marks  \n2. The length of the shadow of an object at noon (12:00) is directly proportional to the height of the object. A lamppost of height 5.0m has a shadow of length 2.0m at noon.  \nWork out the length of the shadow at noon of a woman of height 1.6m.  \nTotal 4 marks  \n3. There are 5 x 109 red blood cells in 1ml of blood.  \nCalculate in standard form the number of red blood cells in 3.25 litres of blood.  \nTotal 5 marks  \n4. Mansoor is p years of age.  \nMansoor’s father is three times as old as Mansoor.  \na) Write down an expression, in terms of p, for the age of Mansoor’s father.  \n(2 marks)  \nIn 5 years’ time Mansoor’s father will be 47 years of age.  \nb) Write down an equation in p to show this information.  \n(2 marks)  \nc) Solve your equation to find Mansour’s present age.  \n(2 marks)  \nTotal 6 marks  \n5. Solve these equations  \na)  \nb)  \n􀯫+1 4􀯫−1 5  \n~~ ~~ − ~~ ~~ = ~~ ~~  \n2 3 12  \n(3 marks)  \n3􀯬1+06 + 5~~ ~~2􀯬 = 6  \n(3 marks)  \nTotal 6 marks  \n6. The diagram shows a garden in the shape of a rectangle.  \n􀃅 3x +5 􀃆  \nAll measurements are in meters.  \nThe perimeter of the garden is 40 meters.  \nWork out the length of the shorter side  \nx + 7  \n􀃆  \n􀃆  \nTotal 5 marks  \n7. Max and Aziz cycle around a cycle track.  \nEach lap Max cycles takes him 21 seconds.  \nEach lap Aziz cycles takes him 35 seconds.  \nMax and Aziz start cycling at the same time from the start line.  \nWork out how many laps they will each have cycled when they are next at the start line together.  \nMax………………………………laps Aziz…………………………………….laps  \nTotal 2 marks  \n8. Solve these simultaneous equations  \na) y = x +3 and y = x 2 + 3x  \nx =   or    \ny = ……………or ……………..  \n(4 marks)  \nb) y = 6 – x 2 and y = 4x + 1  \nx =   or    \ny = ……………or ……………..  \n(4 marks)  \nc) Solve 3x + 2y = 7  \n4 x– 3y = -2  \n(2 marks)  \nTotal 10 marks  \n9.(a) On the grid, draw the parabola of y = x² + 2 clearly showing the minimum point.  \n(3 marks))  \n(b) Use the same axes and draw the line of y= 2x +5 (3 marks)(c) From the graphs, find the values of x and y that satisfy these equations: y= x² +2 and y = 2x + 5  \nx= …………….. y = ………………. (2 marks)  \nX = …………….. y = ………………(2 marks)  \nTotal 10 marks","cbCaibUhLG1fbVWp","https://ap.wps.com/l/cbCaibUhLG1fbVWp","pdf",2339696,56,"English","# Instructions\n## Time and exam rules\n# Questions\n## Circle geometry and tangents\n## Proportionality of shadow length\n## Standard form with large numbers\n## Age algebra problem\n## Solving equations\n## Rectangle perimeter and missing side length\n## Cycling lap timing\n## Simultaneous equations\n## Graphing parabola and line","[{\"question\":\"What are the key exam rules for this Mathematics entrance test?\",\"answer\":\"The exam allows one hour ten minutes. Candidates must answer all questions, work must be shown for scoring, answers are written in the provided spaces, and nothing should be removed from the exam room. Calculators are not allowed.\"},{\"question\":\"How is the length of a shadow related to object height in Question 2?\",\"answer\":\"At noon, shadow length is directly proportional to object height. Using the lamppost height 5.0 m and shadow length 2.0 m, the woman’s shadow length is determined from the proportional relationship.\"},{\"question\":\"Which topics are assessed in the later questions?\",\"answer\":\"The paper includes solving equations and simultaneous equations, calculating lengths using rectangle perimeter, timing based on cycle lap speeds, and using graphs to find intersection values between a parabola and a line.\"}]","Westminster International University in Tashkent Mathematics Entrance Test - March 2015 | PDF",141]