[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-143515-en":3,"doc-seo-143515-105":30,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},143515,8796095462418,"Noah","https://ap-avatar.wpscdn.com/avatar/80000253c1241d02b47?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778826106357471780",4,"Exam","May 2015 - Mathematics exam practice","Mathematics exam practice covering a range of topics including circle geometry, perimeter and area of rectangles, trapezium area calculation, inverse proportion problems, coordinate geometry, standard form calculations, inequality regions, number sequences, long-jump sequence completion, and graphing functions. Includes multi-part questions requiring equations, fraction answers in simplest form, working shown for each step, unit specification where required, and reasoning for angle calculations. Suitable for revision and assessment preparation.","# May 2015\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.The small wheel on a 'penny farthing'has a radius of 0.25mThe large wheel has a radius of 0.75m.  \n##### How many complete turns does each wheel make in 1 kilometre?Use 3.14 as π.Round your answers to the nearest 10.\n\ns ter.U Z  \nst min  \nSmall wheel……………………..  \n(3 marks)  \nLarge whee…………………  \n(3marks)  \n##### Total 6marks\n\n2.a)Find the dimensions of a rectangle whose perimeter is 41cm and area is  \n94.5cm²  \n……………………  \n##### (4 marks)\n\nb)ABCD is a trapezium  \nNof drawn  \naccurately  \n##### Calculate the area of ABCD\n\nState the units of your answer  \n3.yis inversely proportional to the square of x.When x=3,y=8  \na)Work out an equation connecting y and x.  \n#### b)Work out the value of y when x=12Give your answer as a fraction in its simplest form.\n\n5  \nN  \n(3 marks)  \n#### The diagram shows three identical rectangles that have their sides parallel to theaxes.\n\na)What are the dimensions of each rectangle?  \nn S  \ntmil  \n(3 marks)  \n## b)Find the co-ordinates of point C\n\n###### Write down the value of\n\n#### a)1.793×185\n\nb)331705÷1.85  \nN  \nstmin ste  \n#### (1 mark)\n\n(2 marks)  \n6.P,Qand R are points on the circumferance of a circle  \nNot drawn  \naccurately  \nP  \n#### Work out the size of angle y\n\nGive a reason for your answer  \nAngle y=……………………………degrees  \n(2 marks)  \nReason…………………………………   ……………………………………………………………………………………………  ………………………………………………….  \n(2 marks)  \n#### 7.The L-shape below has an area of 12cm²\n\nAll corners are right angles  \nAll lengths are in centimeters  \nNot drawn  \naccurately  \nWork out the value of x  \nestminster.u Z  \nN  \n………………………cm  \n(4 marks)  \n#### 8.a)Work out (3×105)x(6×10⁹)Give your answer in standard form\n\nb)Work out(3×105)÷(6×10⁹)Give your answer in standard form  \nC  \nin S  \nU Z  \n(2 marks)  \n(2 marks)  \n#### b)Solve 3(w+2)=2w-1\n\nc  \n#### c)Simplify fully\n\nN  \nm in  \n#### (3 marks)\n\ner.  \n·  \n#### (2 marks)\n\n(3 marks)  \n###### Total 8 marks\n\n10.Work out the three inequalities that describe the shaded region.  \n3  4  \n0  \nwestminster.U Z  \n###### Answer………………………………………………\n\n#### (3 marks)\n\n##### 11.Here are the first six terms of a number sequence.\n\n71217222732  \na)Write down an expression,in terms of n,for the nth term of this sequence.  \n##### (2 marks)\n\nb)Maria earns $3.00 an hour for her first hour of work,$7.00 for her second hour,$11.00 for her third hour,$15.00 for her fourth hour and so on.How much money willshe earn in her 12thhour of work?  \n##### (3 marks)\n\nc)Romo is practising the long jump.  \n### He is getting tired.Complete the sequence to show the lengths of his jumps.\n\nm,5.5m,5.3m    \n5.9m,      \n##### m,4.9m,4.7m,4.5m\n\n(1 mark)  \n##### d)Write an expression for the nth term of this sequence in terms of n.\n\n12a)On the grid,draw the parabola of y=x²+2 clearly showing the minimumpoint.(3)  \nb)Use the same axes and draw the line of y=2x+5(3)  \nc)From the graphs,find the values of xand y that satisfy these equations:  \ny=x²+2 and y=2x+5  \nX=………………y=………………(2)  \nX=………………y=………………(2)  \n5  \n##### (Total 10 marks)","cbCaip1zJuFQXnxr","https://ap.wps.com/l/cbCaip1zJuFQXnxr","pdf",663780,1,6,"English","en",105,"# Questions\n## Circle and wheel turns\n## Rectangle and trapezium areas\n## Inverse proportion\n## Identical rectangles and coordinates\n## Angle in a circle\n## L-shape area and algebra\n## Standard form calculations\n## Inequalities and shaded regions\n## Number sequences\n## Graphs of functions","[{\"question\":\"What mathematical topics are included in the May 2015 paper?\",\"answer\":\"The paper includes circle geometry, rectangle and trapezium area, inverse proportion, coordinate geometry, angle calculations, standard form, inequalities, number sequences, and graphing quadratic and linear functions.\"},{\"question\":\"When are units required for answers?\",\"answer\":\"Units are explicitly requested for at least the area calculation of the rectangle/trapezium question, including a line to “State the units of your answer.”\"},{\"question\":\"How should answers be presented for the inverse proportion and standard form questions?\",\"answer\":\"For the inverse proportion question, answers for y must be given as a fraction in its simplest form. For the standard form parts, answers must be written in standard form.\"}]","May 2015 - Mathematics exam practice | PDF",1787695525,15,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":85,"head_meta":87,"extra_data":89,"updated_unix":28},"may-2015-mathematics-exam-practice","",{"@graph":36,"@context":84},[37,53,67],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/exam/",3,{"item":52,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/may-2015-mathematics-exam-practice/143515/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":61,"encodingFormat":60,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-08-25",true,{"@type":64,"interactionType":65,"userInteractionCount":4},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"What mathematical topics are included in the May 2015 paper?","Question",{"text":74,"@type":75},"The paper includes circle geometry, rectangle and trapezium area, inverse proportion, coordinate geometry, angle calculations, standard form, inequalities, number sequences, and graphing quadratic and linear functions.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"When are units required for answers?",{"text":79,"@type":75},"Units are explicitly requested for at least the area calculation of the rectangle/trapezium question, including a line to “State the units of your answer.”",{"name":81,"@type":72,"acceptedAnswer":82},"How should answers be presented for the inverse proportion and standard form questions?",{"text":83,"@type":75},"For the inverse proportion question, answers for y must be given as a fraction in its simplest form. For the standard form parts, answers must be written in standard form.","https://schema.org",{"og:url":52,"og:type":86,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":88,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":91},[92,96,100,103,108,112,117,122,127,130,134],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":93,"show_sort_weight":94,"slug":95},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":97,"show_sort_weight":98,"slug":99},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":101,"slug":102},70,"exam",{"id":104,"doc_module":4,"doc_module_name":46,"category_name":105,"show_sort_weight":106,"slug":107},5,"Comic",60,"comic",{"id":21,"doc_module":4,"doc_module_name":46,"category_name":109,"show_sort_weight":110,"slug":111},"Technology",50,"technology",{"id":113,"doc_module":4,"doc_module_name":46,"category_name":114,"show_sort_weight":115,"slug":116},7,"Healthcare",40,"healthcare",{"id":118,"doc_module":4,"doc_module_name":46,"category_name":119,"show_sort_weight":120,"slug":121},8,"Research & Report",30,"research-report",{"id":123,"doc_module":4,"doc_module_name":46,"category_name":124,"show_sort_weight":125,"slug":126},9,"Religion & Spirituality",20,"religion-spirituality",{"id":125,"doc_module":4,"doc_module_name":46,"category_name":128,"show_sort_weight":125,"slug":129},"World Cup","world-cup",{"id":131,"doc_module":4,"doc_module_name":46,"category_name":132,"show_sort_weight":131,"slug":133},10,"Lifestyle","lifestyle",{"id":135,"doc_module":4,"doc_module_name":46,"category_name":136,"show_sort_weight":104,"slug":137},19,"General","general"]