[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143235-105":59,"doc-detail-143235-en":134},{"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":127,"head_meta":129,"extra_data":131,"updated_unix":133},105,"en","april-2015-exam-mathematics-questions","April 2015 - Exam Mathematics Questions","","Mathematics examination questions covering a broad range of GCSE-style topics: rectangle dimensions from perimeter and area, coordinates of a point on diagrams, angle problems involving regular polygons, lowest common multiple and expressing values as powers. The paper also includes recurring decimals to fractions, solving equations, arithmetic and sequence nth-term expressions, and a probability/ratio-style context using student counts. Practical applications appear in a wallpaper plan task using a given scale, plus density calculations for copper and zinc and direct/inverse proportionality problems involving algebraic relationships for water depth.",{"@graph":69,"@context":126},[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/april-2015-exam-mathematics-questions/143235/",{"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/april-2015-exam-mathematics-questions/143235.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118,122],{"name":109,"@type":110,"acceptedAnswer":111},"What topics are included in the April 2015 math paper?","Question",{"text":112,"@type":113},"It includes geometry (rectangles, coordinates, polygon angles), number work (LCM, powers, recurring decimals), algebra (expanding/simplifying, solving equations, nth terms), density calculations, and inverse/direct proportionality. A plan-and-scale wallpaper task is also included.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the rectangle dimensions question and similar geometry questions approached?",{"text":117,"@type":113},"Use the given perimeter to form an equation for side lengths, then use the given area to create a second relationship. Solve the system to obtain each rectangle’s dimensions.",{"name":119,"@type":110,"acceptedAnswer":120},"What method is used to convert a recurring decimal like 0.36 into a fraction?",{"text":121,"@type":113},"Represent the recurring decimal as an algebraic fraction, then simplify to the lowest terms using standard recurring-decimal fraction techniques.",{"name":123,"@type":110,"acceptedAnswer":124},"What information is needed for the wallpaper rolls problem?",{"text":125,"@type":113},"The scale of the room plan, the actual door and window dimensions, and the wallpaper roll dimensions (length and width). Combine these to compute the wallpaper area required and determine how many complete rolls to buy.","https://schema.org",{"og:url":83,"og:type":128,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":130,"canonical":83},"index,follow",{"doc_id":132,"site_id":62},143235,1787693824,{"code":4,"msg":5,"data":135},{"doc_id":132,"user_id":136,"nickname":92,"user_avatar":137,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":143,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":67,"update_tm":133,"read_time":147},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","# April 2015\n\nnot drawn  \n### diagram shows three identical rectangles that have their sides parallel to the\n\n)What are the dimensions of each rectangle?  \n(3 marks)  \n### )Find the co-ordinates of point C\n\nAll questions on this paper must be answered.Write the answers in the space below each question.Show ALL working for each question.  \n1.Find the dimensions of a rectangle whose perimeter is 54cm and area is170cm²  \nm in  \nSa  \n·             ·      ··  \n4.The diagram shows a regular pentagon and a regular hexagonFind the angles marked a,b and c  \nstmin ster.U  \nN  \nAngle a………………  \n(2 marks)  \n##### Angle b………………\n\n(2 marks)  \n##### Angle c………………..\n\n(2 marks)  \n##### Total 6marks\n\nb)Find the lowest common multiple of 28 and 35  \nm in st  \n##### c)Write as a power of 5\n\n5⁹÷56  \n(2 marks)  \n##### (2 marks)\n\n6.Solve these equations  \na)  \nb)  \n(3 marks)  \n5  \n5a)Convert the recurring decimal 0.36 to a fraction in its simplest form  \n(3 marks)  \nX  \nN  \n·     ·    ·  \n(3 marks)  \nThe weight of 5m³of copper is 44800kg  \na)Work out the density of copper in kg/m³Round your answer to the nearest 1000  \n#### (3 marks)\n\nThe density of zinc is 7130 kg/m³  \n7.Here are the first 5 terms of an arithmetic sequence  \n#### (2 marks)\n\nc)The nth term of another sequence is 2r²-16nWork out the 8th term of this sequence  \nb)Amina says the number 100 is a term of this sequence.Amina is wrong.Explain why.  \n·                        ·  \nb)Work out the weight of 5m³of zincRound your answer to the nearest 10000  \n###### 811141720\n\n#### a)Find an expression,in terms of n,for the nth term of this sequence\n\n(3 marks)  \n10.A college has 1200 students  \n575 of them are girls  \nof the girls like sport  \n60%of the boys like sport  \n#### Work out the total number of students at the college who like sport\n\nwestmin ster.  \n9  \n#### a)Expand and simplify\n\nb)Expand and simplify  \n(2 marks)  \n8(n+1)²-2(n-3)²  \ne  \n##### 12.Madison has decided to wallpaper her bedroom.She draws a plan of her room.\n\nScale:Each square =25cms  \n\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | Doorvay  \u003Cbr>Window  \u003Cbr>Bedroom   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  ","cbCaidUV131Q0MqM","https://ap.wps.com/l/cbCaidUV131Q0MqM","pdf",1640373,"English","# April 2015\n## Geometry and coordinates\n## Number, powers, and algebra\n## Sequences and equations\n## Practical problem solving with scale\n## Density and proportionality","[{\"question\":\"What topics are included in the April 2015 math paper?\",\"answer\":\"It includes geometry (rectangles, coordinates, polygon angles), number work (LCM, powers, recurring decimals), algebra (expanding/simplifying, solving equations, nth terms), density calculations, and inverse/direct proportionality. A plan-and-scale wallpaper task is also included.\"},{\"question\":\"How are the rectangle dimensions question and similar geometry questions approached?\",\"answer\":\"Use the given perimeter to form an equation for side lengths, then use the given area to create a second relationship. Solve the system to obtain each rectangle’s dimensions.\"},{\"question\":\"What method is used to convert a recurring decimal like 0.36 into a fraction?\",\"answer\":\"Represent the recurring decimal as an algebraic fraction, then simplify to the lowest terms using standard recurring-decimal fraction techniques.\"},{\"question\":\"What information is needed for the wallpaper rolls problem?\",\"answer\":\"The scale of the room plan, the actual door and window dimensions, and the wallpaper roll dimensions (length and width). Combine these to compute the wallpaper area required and determine how many complete rolls to buy.\"}]","April 2015 - Exam Mathematics Questions | PDF",15]