[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144026-105":59,"doc-detail-144026-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","mathematics-entrance-test-january-2012","Mathematics Entrance Test - January 2012","","Mathematics entrance test paper for January 2012 with a total time allowance of one hour ten minutes. No calculators are allowed, and candidates must present rough calculations for answers to earn marks. The paper includes algebraic equations involving parameters, systems of linear and quadratic relations, and geometry problems using grids, area reasoning, and coordinate graph work. It also features an arithmetic progression task requiring term and sum calculations.",{"@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/mathematics-entrance-test-january-2012/144026/",{"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-january-2012/144026.png","ImageObject",300,407,{"name":92,"@type":93},"Seraphina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the exam rules about calculators and working shown?","Question",{"text":113,"@type":114},"Calculators are not allowed. Rough calculations must be presented, and answers without evidence of calculations do not score marks.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find x in Question 1(a)?",{"text":118,"@type":114},"Question 1 defines p=x-11 and q=x+4, then asks for x such that p^2=4q.",{"name":120,"@type":111,"acceptedAnswer":121},"What does Question 3 ask to determine using the garden cost information?",{"text":122,"@type":114},"Question 3 requires calculating X, the monthly clearing cost per square metre, given the yearly maintenance cost and the shaded and white area planting/clearing schedule.","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},144026,1787698009,{"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":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"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  \nJanuary 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  \nJanuary 2012  \nQuestion 1  \na) If p=x-11 and q=x+4, find the value of x for which p2=4q.  \nb) IfA and B are the values of x you found in a), calculate C = ~~ ~~100AA2~~ ~~−10B0B2  \nAnswer: a) x = and b) C= .  \nQuestion 2  \nFind u, v and w in terms of c if u+v=17-c  \nv+w=10+3c  \nw+u=3+2c2  \nThen find the value of c for which u+v+w=15  \nAnswer: u= ,v= , w= ,c= and .  \nQuestion 3  \nA 3mx3 m garden is split into 9 equal squares as shown. The shaded areas are to be planted once every year with flowers that  \ncost 10,000 (ten thousand) Uzbek soum per square mere (m2) . The white areas are to be cleared once a month, at a cost of X Uzbek soum per square metre. What is the value of X if the cost to maintain the garden is 200000 Uzbek soum per year?  \nAnswer: X= Uzbek soum  \nQuestion 4  \nDraw the curve y=x2-2x-3, clearly showing the points it meets the axes and the turning point. Also, if this curve cuts the line y=-2x at A and B, find the length of AB.  \nQuestion 5  \nThe 9th term of an arithmetic progression is 66 and the 51st is 444. a) Find the first term and the 2012th term and b) How many terms of this progression sum up to 60?  \nAnswer: a) Term number 1 is = and term number 2012 is= .  \nb) we need to sum terms.  \nQuestion 6  \nPQRS is a quadrilateral in which ∠PQR and ∠PRS are right angles. If PQ=12m, QR= 9m, RS=8m, find a) the length of PS and b) the distance of R from PS (Hint: Calculate the area of PRS in two different ways)  \nRight angle=900  \nAnswer: a) PS= m, b) distance of R from PS is m","cbCaifXlti92gxo5","https://ap.wps.com/l/cbCaifXlti92gxo5","pdf",403017,"English","# Question 1\n## Algebra with parameters\n# Question 2\n## Solve for u, v, w and determine c\n# Question 3\n## Garden grid area and cost optimization\n# Question 4\n## Graph, axis intersections, and distance AB\n# Question 5\n## Arithmetic progression: terms and sum\n# Question 6\n## Quadrilateral with right angles: PS and distance","[{\"question\":\"What are the exam rules about calculators and working shown?\",\"answer\":\"Calculators are not allowed. Rough calculations must be presented, and answers without evidence of calculations do not score marks.\"},{\"question\":\"How do you find x in Question 1(a)?\",\"answer\":\"Question 1 defines p=x-11 and q=x+4, then asks for x such that p^2=4q.\"},{\"question\":\"What does Question 3 ask to determine using the garden cost information?\",\"answer\":\"Question 3 requires calculating X, the monthly clearing cost per square metre, given the yearly maintenance cost and the shaded and white area planting/clearing schedule.\"}]","Mathematics Entrance Test - January 2012 | PDF"]