[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-143088-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-143088-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","westminster-international-university-in-tashkent-mathematics-entrance-examination-1-grid-inequalities-shading","Westminster International University in Tashkent - Mathematics Entrance Examination - 1 - Grid Inequalities Shading","","Mathematics Entrance Examination (DATE: 31 May 2018) for Westminster International University in Tashkent, containing detailed instructions and a set of algebra, geometry, and word-problem questions. The exam requires clearly labeling inequalities and shading bounded regions, simplifying expressions, expanding products, solving simultaneous equations, and calculating arc lengths and sector areas using π = 3.14. Additional questions address similar solids, train-and-bridge motion, compound interest instalments, and mixture ratio corrections, alongside strict no-calculator and exam-rule requirements.",{"@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-examination-1-grid-inequalities-shading/143088/",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-examination-1-grid-inequalities-shading/143088.png","ImageObject",300,407,{"name":42,"@type":43},"Anda","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",17,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is required for Question 1 about inequalities?","Question",{"text":63,"@type":64},"Clearly label each inequality and shade the bounded region on the grid, answering each inequality’s role in forming the region.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which calculator-related rule applies throughout the exam?",{"text":68,"@type":64},"No calculators are allowed, and all working must be presented on the same page as the question; answers without calculations receive no marks.",{"name":70,"@type":61,"acceptedAnswer":71},"What value should be used for π in Question 10?",{"text":72,"@type":64},"Use 3.14 as the value of π when calculating the arc length and the area of the sector.","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},143088,1787692708,{"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":33,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":124},962075006959,"https://ap-avatar.wpscdn.com/avatar/e0002397efbe92a78e?_k=1776741047341049297","Westminster International University inTashkent  \nand t.me/mathclub_bot  \n# 1.On the grid below shade the area which is bounded by the following inequalities\n\nMathematics Entrance Examination  \nx\u003C1,y\u003C0,y\u003Cx+1,x+y>-3  \nDATE:31 May,2018  \nClearly label each inequality and shade the bounded region.  \ni.  Time allowed:One hour ten minutes  \nii.Answer all questions.  \niii.  No calculators are allowed.  \niv.  All your working must be presented on the same page as thequestion.Answers with no evidence of calculations will notscore any marks.  \n   \n   \nV.  Write your answers in the spaces below the questions.  \nvi.  Nothing should be removed from the exam room.  \nPlease note the additional requirements:  \nvii.  You are not allowed to leave the exam room during the examination.  \nviii.  You are not allowed to talk,to whisper,to turn around,use any pre-prepared notes,calculators,dictionaries or to look at another candidate's examination papers,all of which are considered violation ofexam rules and may incur a penalty.You will be given no warning;should you do any of these things youwill be reported to the Assessment Board for penalty application.  \nix.  You may use non-erasable blue or black pen to write your answers including graphs.Any answers writtenin pencil will not be marked.  \nx.   You may not use whiteout/correction fluid.If you make a mistake,simply draw a line through the mistakewith pen and continue.  \nxi.   You may not borrow another student's stationery or materials even with the consent of the invigilator.  \nxii.  If your pen runs out of ink you may request a replacement from the invigilator.If any are available areplacement will be provided for you.No other stationary or materials may be provided for you by theinvigilator.  \nxiii.  All mobile phones and other electronic devices must be switched off and left at a place indicated by theinvigilators.  \n\n| Applicant ID:   |  |\n| --- | --- |\n\ne/mathclub bot  \nX-…           …   ①  \n3 marks (b)Simplify the following expression 6n-3n×2n+n  \n# 3.Solve the simultaneous equations\n\n)ns,visit t.me/westernuz  \n2 marks  \n4x-3y=4  \n4y-3x=-6.5  \n# 5.Expand and simplify\n\n(a²+ab+b²)(a-b)  \n3 marks  \nx=…      ……   …  \n# 6.Rearrange to make x the subject of the formula\n\ny=…     ……    …  \n5 marks  \n7.Two similar solids have heights of 6cm and 9 cm.Given tha the volume of thesmaller solid is 88 cm³,calculate the volume of the larger solid.  \nand t.me/mathclub bot  \n4 marks  \nfor model solutions,Visit t.me/westernuzZ  \n8.A train,160 m long,is travelling at 24 kph.Find how many seconds it willtake topass completely over a bridge which is 720 m long.Give your answer to a whole number.  \n9.Omar borrows $1640 with compound interest of 5%per year.He has to pay themoney backin two equal instalments(payments)-one payment at the end of yearone,and the second payment at the end of year two.  \nCalculate the value of each instalment.  \n4 marks  \n# 10.From the diagram below calculate\n\nUse 3.14 as the value of π  \na.The length of the arc AB(Give your answers to the nearest centimetre)  \nb.The area of the sector  \n# 11.From the diagram below find the following in terms of p and qXis the point on BC such that BX:XC=2:1\n\nand t.me/mathclub_bot  \na.AC  \nb.AX  \nc.XD  \na…      ……       …2 marks  \nb……………      ……2 marks  \nC……         ……………2 marks  \n# 12.The table shows information about rice production in four countries in 2016.\n\n\n| Country   | Number of kg per year   |\n| --- | --- |\n| China   |  |\n| Taiwan   | 8.52×10⁶   |\n| Indonesia   | 9.2×106   |\n| Japan   | 1.85×10⁷   |\n\na.In 2016 China produced 48 million kg of rice.Enter this amount on to the table instandard form.  \n1 mark  \nb.How many more kilograms of rice were produced in Japan than in Taiwan?  \n13.5640 is divided between three people Afifa,Bobur and Cute so that A receives $100more than B,and B receivesof the amount C receives.Find the amount that each receives.  \nAfifa……  ……   ………  \nBobur………   …     …  \nCute……………  ………  \n6 marks  \n# 14.Pina Colada cocktail","cbCaio2G7vQLOfoJ","https://ap.wps.com/l/cbCaio2G7vQLOfoJ","pdf",691494,"English","# Mathematics Entrance Examination\n## General exam instructions\n## Question 1\n## Question 3\n## Question 5\n## Question 6\n## Question 7\n## Question 8\n## Question 9\n## Question 10\n## Question 11\n## Question 12\n## Question 13\n## Question 14","[{\"question\":\"What is required for Question 1 about inequalities?\",\"answer\":\"Clearly label each inequality and shade the bounded region on the grid, answering each inequality’s role in forming the region.\"},{\"question\":\"Which calculator-related rule applies throughout the exam?\",\"answer\":\"No calculators are allowed, and all working must be presented on the same page as the question; answers without calculations receive no marks.\"},{\"question\":\"What value should be used for π in Question 10?\",\"answer\":\"Use 3.14 as the value of π when calculating the arc length and the area of the sector.\"}]","Westminster International University in Tashkent - Mathematics Entrance Examination - 1 - Grid Inequalities Shading | PDF"]