[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143444-105":59,"doc-detail-143444-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","july-2015-mathematics-exam-questions","July 2015 - Mathematics Exam Questions","","Mathematics examination paper dated July 2015, requiring complete working for each question. It covers coordinate geometry, geometric and algebraic factorisation, solving equations, similarity of triangles, angles in regular polygons, area calculations using π=3.14, standard form with large and small distances, percentages and price reductions, ratio-based fraction problems, and value tables plus graph drawing for y = x^3 - 4x. Several questions include diagram accuracy notes and price comparison tasks.",{"@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/july-2015-mathematics-exam-questions/143444/",{"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/july-2015-mathematics-exam-questions/143444.png","ImageObject",300,407,{"name":92,"@type":93},"Maeve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","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 kind of working is required for the questions on this paper?","Question",{"text":113,"@type":114},"All questions must be answered with ALL working shown for each question. Answers are expected in the space below each question.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the bounce height problem determine when to stop?",{"text":118,"@type":114},"Each bounce reaches 75% of the previous height. The process continues until the bounce height is less than 25% of the original height, then the number of bounces is counted.",{"name":120,"@type":111,"acceptedAnswer":121},"What are students expected to do in the graph question for y = x³ - 4x?",{"text":122,"@type":114},"Students must complete a table of values for x from -3 to 3, then draw the graph on the grid for the same function from x = -3 to x = 3.","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},143444,1787695170,{"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":29,"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":105},5909877438554,"https://ap-avatar.wpscdn.com/avatar/5600025385ad2bf12a7?_k=1778553567797529272","Allquestions on this paper must be answered.Write the answers in the space below each question.Show ALL working for each question.  \n1.The three points,A,B and Con the graph are equally spaced.  \ner  \nJuly 2015  \nnot drawn accurately  \nWhat are the co-ordinates of point B?  \nst m in  \nN  \n2.A ball is dropped and bounces up to a height that is 75%of the height from which it wasdropped.  \nIt then bounces again to a height that is 75%of the previous height and so on.  \nHow many bounces does it make before itbounces up to less than 25%of the originalheight from which it was dropped?  \nstmin ster.U  \nN  \n3.You are planning a short holiday to Bratislava with your friends,Ana and Martins.You will not be taking a bag but Ana will be taking two and Martins willbe taking one.You have two travel companies to choose from-LowCost Holidays and Sunny DaysAirlines.  \nYoufind the following information out about each company's prices.  \n| LowCost Holidays Winter Getaways  \u003Cbr>November and December Tashkent -Bratislava fares  \u003Cbr>Just $29 per person return(Excludes charges listed  \u003Cbr>below)  \u003Cbr>Further charges apply to all bookings:  \u003Cbr>$23.20  \u003Cbr>Taxes per person (return flights)  \u003Cbr>$14  \u003Cbr>Baggage one way per item  \u003Cbr>$3  \u003Cbr>Booking fee per passenger   | Sunny Days Airlines Super Deals Tashkent -  \u003Cbr>Bratislava  \u003Cbr>Out 9th November return 13th November $59.90 per  \u003Cbr>person return(excluding taxes and fees)  \u003Cbr>$10  \u003Cbr>Taxes(flights departing Tashken+)  \u003Cbr>$5  \u003Cbr>Taxes(flights departing Bratislava)  \u003Cbr>FREE  \u003Cbr>Baggage(up to 2 items per person)  \u003Cbr>Booking fee per group(up to 5 passengers)$7.50   |\n| --- | --- |\n\nWork out the cost of each holiday option.Which company should they use?  \nPrice of LowCost………………  \n(4 marks)  \nPrice of Sunny Days………………  \n(4 marks)  \nWhich one would you chose?……………………  …  \nTotal 8 marks  \n12x³+10x²-12x  \n4.a)Factorise fully  \n(x+1)²-25  \nb)Factorise fully  \nn ster.  \n2x²+7x+3=0  \nc)Solve  \n(3 marks)  \n(3 marks)  \nS  \n(3 marks)  \n5.A circle has a radius of 6cm.  \nA square has a side of length 12cm.  \nWork out the difference between the area of the circle and the area of the square.Give your answer correct to two decimal places.Give the correct units.  \nUse 3.14 as pi(π)  \nNu  \nDiagram NOI accurately drawn  \ns t m in S  \nN  \n# 6.The diagram shows a regular pentagon and a regular hexagon\n\nFind the angles marked a,b and c  \nstminster.U Z  \nN  \nAngle a………………  \n(2 marks)  \nAngle b………………  \n(2 marks)  \nAngle c………………  \n(2 marks)  \n7.Triangles ABC and ACD are similar.  \nAB=5cm and AC=6cm.Calculate the length of AD.  \nNot drawn accurarely  \nA  \nstminster.uz  \nN  \n8.The distance between planet A and planet B is 7.4×10⁶km.The distance between planet B and planet C is 9.8×10¹²km.How far is it from planet A to planet C?Give your answer in standard form.  \nPlanet A  \nPlanet B  \nPlanet C  \nstmin ste  \nN  \nb)Solve  \n# 10.In a sale all prices are reduced by 20%.\n\nThe sale price of a washing machine is $464.By how many dollars had it been reduced from its original price?  \n(5 marks)  \n# 13.Nadia makes some cupcakes.She eats 30%herself.\n\nShe shares the rest out between her brother and her sister in the ratio of 3:2.What fraction of the cupcakes did she give to her sister?  \n(5 marks)  \n# 11.Diet Coke is on offer at Cheapbuy Supermarket and at Easyprice Supermarket.\n\nCheapbuy:2 litre bottles on offer 3 for $4.50  \nEasyprice:24 cans x330ml on offer for $8.85  \nWhich supermarket is offering the best value for money?Explain your answer  \nwestmin ster.  \n# 12.a)Complete the table of values fory=x³-4x\n\n\n| X   | -3   | -2   | -1   | 0   | 1   | 2   | 3   |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| y   |  |  | 3   | 0   |  |  | 15   |\n\n## b)On the grid,draw the graph of y=x³-4xfrom x=-3 to x=3\n\n\n|  |  |  |  |  |  |  |  |  |  | y   |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  | ","cbCaihy6q6DnjkcD","https://ap.wps.com/l/cbCaihy6q6DnjkcD","pdf",1083392,"English","# Question 1\n## Coordinate geometry from an equally spaced graph\n# Question 2\n## Successive bounces with a 75% height rule\n# Question 3\n## Holiday cost comparison using two travel companies\n# Question 4\n## a) Factorisation\n## b) Factorisation and solving an equation\n# Question 5\n## Area difference: circle vs square\n# Question 6\n## Angles in regular pentagon and hexagon\n# Question 7\n## Similar triangles and finding a missing length\n# Question 8\n## Distances in standard form using powers of 10\n# Question 10\n## Percentage reduction in a sale\n# Question 11\n## Best value comparison for Diet Coke offers\n# Question 12\n## a) Complete a table for y = x^3 - 4x\n## b) Draw the graph from x = -3 to x = 3\n# Question 13\n## Ratio sharing and finding a fraction given eaten cupcakes","[{\"question\":\"What kind of working is required for the questions on this paper?\",\"answer\":\"All questions must be answered with ALL working shown for each question. Answers are expected in the space below each question.\"},{\"question\":\"How does the bounce height problem determine when to stop?\",\"answer\":\"Each bounce reaches 75% of the previous height. The process continues until the bounce height is less than 25% of the original height, then the number of bounces is counted.\"},{\"question\":\"What are students expected to do in the graph question for y = x³ - 4x?\",\"answer\":\"Students must complete a table of values for x from -3 to 3, then draw the graph on the grid for the same function from x = -3 to x = 3.\"}]","July 2015 - Mathematics Exam Questions | PDF"]