[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144059-105":59,"doc-detail-144059-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","entrance-test-mathematics-january-2011","Entrance test - Mathematics - January 2011","","This document contains an entrance test in Mathematics administered in January 2011, with a total time allowance of one hour and ten minutes. It instructs candidates to answer all questions, prioritizing speed and advising against dwelling on excessively difficult problems. Candidates are permitted only writing materials, with no calculators allowed. Rough calculations must be presented on the exam paper itself, as answers without evidence of working will not be awarded marks. The document also features an explicit disclaimer stating that this sample is free of charge and strictly for academic use. The test comprises six distinct mathematical problems covering a range of topics, including algebraic equations, ratios and costs, geometric measurement, coordinate geometry, number theory, and area calculations. Specific questions involve finding an unknown number based on a series of operations, calculating the cost of a mixture of ingredients based on their ratios and prices, determining the dimensions of a rectangle with a given perimeter and area, analyzing the intersection and area formed by two lines and the x-axis, summing numbers not divisible by five within a range, and calculating lengths and area in a geometric figure.",{"@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/entrance-test-mathematics-january-2011/144059/",{"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/entrance-test-mathematics-january-2011/144059.png","ImageObject",300,407,{"name":92,"@type":93},"Seraphina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the time limit for the entrance test?","Question",{"text":113,"@type":114},"The time allowed for the entrance test is one hour and ten minutes.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What materials are candidates allowed to bring into the exam room?",{"text":118,"@type":114},"Candidates are only allowed to bring writing materials such as pens, pencils, erasers, and rulers into the exam room. 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Answers with no evidence 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.  \nTHIS SAMPLE IS FREE OF CHARGE AND MAY ONLY BE USED FOR ACADEMIC PURPOSES  \nQuestion 1  \nIshmael thought of a number between 1 and 10, added 5 to it, then squared the result and then subtracted seven times the original number. He then doubled the result and took away one to end up with 225. What was the number he started with?  \nAnswer: The number is  \nQuestion 2  \nA biscuit recipe uses flour, butter, sugar and almonds at a ratio, by weight, of 9:6:3:2 . If flour costs £1.50 per kilogram (one and half pounds per kg), butter £2.20 per kg, sugar £3.40 per kg and nuts £11.05 per kg, how much does it cost to make a mixture of 15kg of these ingredients?  \nAnswer: The cost is  \nQuestion 3  \nA farmer has 70 metres of fencing available and wants to enclose a rectangle area of 300 square metres. What measurements will his rectangle have?  \nAnswer:  \nQuestion 4  \nDraw the lines 3x =y+6 and 3x+4y+9 = 0, clearly showing the point where they meet each other and the axes. What is the area enclosed by the lines and the x-axis?  \nAnswer: Area is  \nQuestion 5  \nTake all the numbers between 1 and 999 that are NOT divisible by 5 and add them up. What is the result?  \nAnswer:  \nQuestion 6  \nIn the rectangle ABCD, EFA=HGC=900, AF=4m, EF=GH=3m, FG=2m. Find ED, DC and the area EFCD.  \nAnswer: ED= m, and EFCD area is m2","cbCaicy3s9AxMN8A","https://ap.wps.com/l/cbCaicy3s9AxMN8A","pdf",139199,"English","# Question 1\n# Question 2\n# Question 3\n# Question 4\n# Question 5\n# Question 6","[{\"question\":\"What is the time limit for the entrance test?\",\"answer\":\"The time allowed for the entrance test is one hour and ten minutes.\"},{\"question\":\"What materials are candidates allowed to bring into the exam room?\",\"answer\":\"Candidates are only allowed to bring writing materials such as pens, pencils, erasers, and rulers into the exam room. No calculators are permitted.\"},{\"question\":\"Where should candidates perform their rough calculations?\",\"answer\":\"Candidates must present all their rough calculations on the blank pages of the exam paper. Answers without evidence of calculations will not receive any marks.\"}]","Entrance test - Mathematics - January 2011 | PDF"]