[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-144063-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-144063-en":130},{"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","westuz-westminster-lyceum-math-exam-sample-tashkent-2019-mathematics-entrance-exam-sample","West.uz-Westminster lyceum - MATH-EXAM-SAMPLE - Tashkent 2019 - Mathematics Entrance Examination Sample","","Mathematics M1 entrance examination sample for West.uz-Westminster lyceum in Tashkent (July 2019). The test lasts 1 hour 15 minutes and contains 10 questions worth 5 marks each, for a total of 50 marks. Candidates must answer all questions in detail and show all working on the same page as the question; answers written on draft pages or separate sheets are not graded. Books, notes, calculators and any assisting materials are prohibited. 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Draft pages or separate sheets are not accepted for grading.",{"name":70,"@type":61,"acceptedAnswer":71},"Are calculators, books, or notes allowed during the exam?",{"text":72,"@type":64},"No. Books, notes, calculators, and any assisting materials are prohibited.","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},144063,1787698148,{"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":55,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"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":113},13056703019662,"https://ap-avatar.wpscdn.com/avatar/be000253a8e92610077?_k=1778726343310543188","ENTRANCE EXAMINATION  \nMATHEMATICS  \nM1  \nDate: July 2019  \nTime allowed: 1 hour 15 minutes  \n10 questions by 5 marks. Total: 50 marks  \nANSWER ALL QUESTIONS IN DETAIL, SHOWING ALL YOUR WORK ON THE SAME PAGE AS THE QUESTION. THE ANSWERS PROVIDED IN THE DRAFT PAGE OR IN SEPARATE SHEETS WILL NOT BE CONSIDERED.  \nNO BOOKS, NOTES, CALCULATORS OR ANY SORT OF ASSISTING MATERIAL ARE ALLOWED.  \nKITOB, DAFTAR, KALKULYATOR YOKI BOSHQA YORDAMCHI MATERIALLARDAN FOYDALANISH TAQIQLANADI.  \nПОЛЬЗОВАНИЕ КНИГОЙ, ТЕТРАДЬЮ, КАЛЬКУЛЯТОРОМ ИЛИ ЛЮБЫМВСПОМОГАТЕЛЬНЫМ МАТЕРИАЛОМ ЗАПРЕЩАЕТСЯ .  \n\n| Application number: |  |\n| --- | --- |\n| Signature: |  |\n\nPLEASE DO NOT TURN OVER THIS PAGE UNTIL TOLD TO DO SO  \nQuestion 1.  \nSimplify and find what values 􀜽 and 􀜾 can take.  \n~~ ~~ ~~ ~~ ~~ ~~ ~~ ~~ 2  \n(􀜽􀜽􀜽~~ ~~~~ ~~􀜾 − √􀜽􀜾  ) (√􀜽􀜽~~ ~~~~ ~~􀜾~~ ~~ )  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 2.  \nFind the sum of all two-digit natural numbers are divisible by 2 but not by 3.  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 3.  \nThe parabola y = 4x2 – 12x + 5 crosses the x-axis at points A and B as shown on the right figure. Line segment CD in rectangle ABCD is tangent to the parabola at its vertex. What is the area of rectangle ABCD?  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 4.  \nHow many liters of an 80 % acid solution must be added to 15 liters of a 6 % acid solution to get a 20 % acid solution.  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 5.  \nThe numbers a, p, and q are different positive integers and p and q are prime. If ais divisible by p and q and if 􀜾 = 􀯣􀯔∙~~ ~~􀯤~~ ~~, then which of the following must be true?  \nI. b is not divisible by both p and q  \nII. If b is divisible by r, then a is divisible by r  \nIII. b is a positive integer  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 6.  \nWhen the width and length of a rectangle are each reduced by 20%, the area of the new rectangle is 12 units less than the area of the original rectangle. What is the area of the original rectangle?  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 7.  \nThe point O is a center of the circle. D is a tangent point. Find the shaded area if 􀜣􀜤 = 4, 􀜣􀜥 = 2.  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 8.  \nSolve the simultaneous non-linear equations:  \n{ (􀢞􀢞􀢟􀢟(􀢞􀫛􀫞 − 􀢟􀫛 ) = 􀫝􀫞  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks  \nQuestion 9.  \nThree billionaires have a total of 30 billion dollars between them. If billionaire A has 300 million more than billionaire B and billionaire B has 600 million more than billionaire C, how much more money do billionaires B and C combined have than billionaire A alone?  \nAnswer without the correct and detailed solutions will not be marked. Provide the detailed solution below.  \nWrite your answer here: …………………………….  \nTotal for page 5 marks","cbCaisKtaxskGc6Q","https://ap.wps.com/l/cbCaisKtaxskGc6Q","pdf",263209,12,"English","# Examination Information\n## Instructions and Allowed/Prohibited Materials\n## Question 1-10 Overview\n## Marking Requirements","[{\"question\":\"How long is the Mathematics M1 entrance exam and what is the total number of marks?\",\"answer\":\"The exam lasts 1 hour 15 minutes and consists of 10 questions, each worth 5 marks, for a total of 50 marks.\"},{\"question\":\"What are the key rules for writing answers?\",\"answer\":\"Answers must be given in detail with all working shown on the same page as each question. Draft pages or separate sheets are not accepted for grading.\"},{\"question\":\"Are calculators, books, or notes allowed during the exam?\",\"answer\":\"No. Books, notes, calculators, and any assisting materials are prohibited.\"}]","West.uz-Westminster lyceum - MATH-EXAM-SAMPLE - Tashkent 2019 - Mathematics Entrance Examination Sample | PDF"]