[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144043-105":59,"doc-detail-144043-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","mathematics-entrance-test-april-2012","Mathematics Entrance Test - April 2012","","Mathematics entrance test paper for April 2012 with a total time limit of one hour ten minutes. The exam instructs candidates to answer all questions, work quickly, and use only permitted stationery while showing all rough calculations, since answers without calculation evidence receive no marks. A calculator is not allowed, and candidates must present working on the provided rough-work pages without removing any materials from the exam room. The paper includes six graded questions covering algebra, arithmetic progressions, coordinate geometry, simultaneous equations, and geometry involving parallel lines and perpendicular segments.",{"@graph":69,"@context":122},[70,84,105],{"@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/mathematics-entrance-test-april-2012/144043/",{"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/mathematics-entrance-test-april-2012/144043.png","ImageObject",300,407,{"name":92,"@type":93},"Seraphina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-27","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How long is the Mathematics entrance test in April 2012?","Question",{"text":112,"@type":113},"The time allowed is one hour ten minutes.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are calculators permitted for this test?",{"text":117,"@type":113},"No calculators are allowed.",{"name":119,"@type":110,"acceptedAnswer":120},"Do answers require showing rough calculations?",{"text":121,"@type":113},"Yes. All rough calculations must be presented; answers without evidence of calculations do not score marks.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},144043,1787698072,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39},962075114101,"https://ap-avatar.wpscdn.com/avatar/e000253a75eb197efd?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780044092746381165","Entrance test  \nMathematics  \nApril 2012  \nTime allowed: One hour ten minutes  \nAnswer all questions.  \nIt is advised that you work quickly and that you leave behind questions that are taking you too long to answer.  \nYou should only bring in writing material (pens, pencils, erasers, rulers).  \nNo calculators are allowed.  \nAll your rough calculations have to be presented. 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  \nApril 2012  \nQuestion 1  \na) If V = 13 π h(R 2 + Rr + r2 ) , find r when π = ~~ ~~227 , R=5, h=6 and V=308 . b) Without solving the equations, find the value of XX2~~ ~~−~~ ~~YY2 given that X+Y=72803 and X-Y=27197 .  \nAnswer: a) r= and b) value is  \nQuestion 2  \nAbdulla, Bilol, Chen and Dildora bought 2.835 kilos of Almonds. Abdulla took a third (1/3) of the almonds. Bilol took a third of the rest plus 100 almonds. Chen took 60% of the rest. If one almond weighs 2.1 grams, how many almonds did Dildora take?  \nAnswer: Dildora took almonds  \nQuestion 3  \nXavier, Yusuf and Zena bought 27 apples. When Zena looked at the apples she said “Four times my apples are the same as three times Yusuf’s plus two times Xavier’s”. Xavier then said “ Four times Yusuf’s, fours times Zena’s and two times my apples add up to 100”. How many apples did each buy?  \nAnswer: Xavier bought , Yusuf bought , and Zena bought apples.  \nQuestion 4 A straight line passes through (0,2) and (-2,0) . A second straight line passes through (0,5) and (2,1) . a) Find the equation of the first line., b) Draw the graphs representing these two lines, showing clearly where they meet and c) calculate the area of the triangle between these two lines and the y-axis.  \nAnswer: The area is =  \nQuestion 5  \nThe first term of an arithmetic progression is 8. The sum of the first 10 terms of this progression divided by the sum of the first 5 terms is 3.25. How many terms of this progression add up to 1720?  \nQuestion 6 Line ABC is parallel to line DEF. If BG is perpendicular to CE, ifAD is parallel to BG, if GF is perpendicular to EF, if BG=4m, GC=3m and AD=12m. Find a) the length of BC,  \nb) the area of triangle ABD and c) the length of GF.  \nAnswer:  \nA  \nAnswer: a) b) c)","cbCaidWjVgZyVoZ1","https://ap.wps.com/l/cbCaidWjVgZyVoZ1","pdf",402585,"English","# Question 1\n## (a) Find r from a volume expression\n## (b) Determine a value using X+Y and X−Y\n# Question 2\n## Almonds problem with fractions and percentages\n# Question 3\n## System of equations from apple-count statements\n# Question 4\n## Line equations, graphs, and triangle area with the y-axis\n# Question 5\n## Arithmetic progression using sums\n# Question 6\n## Parallel lines: lengths and triangle area","[{\"question\":\"How long is the Mathematics entrance test in April 2012?\",\"answer\":\"The time allowed is one hour ten minutes.\"},{\"question\":\"Are calculators permitted for this test?\",\"answer\":\"No calculators are allowed.\"},{\"question\":\"Do answers require showing rough calculations?\",\"answer\":\"Yes. All rough calculations must be presented; answers without evidence of calculations do not score marks.\"}]","Mathematics Entrance Test - April 2012 | PDF"]