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The paper includes a formulae sheet covering key results such as sphere and cone calculations, triangle area, sine and cosine rules, the quadratic equation, and trigonometric identities. The question set assesses skills across circles, ratios and algebraic expressions, distance and parametric values, sequences, straight-line graphs, algebraic rearrangement, functions and ranges, and equation solving.",{"@graph":69,"@context":116},[70,84,99],{"@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/level-2-further-mathematics-83602-paper-2-june-2015-exam-instructions-and-questions/207502/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":93,"encodingFormat":92,"isAccessibleForFree":94,"interactionStatistic":95},"DigitalDocument",{"name":87,"@type":88},"Xiajie","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":96,"interactionType":97,"userInteractionCount":4},"InteractionCounter",{"@type":98},"ViewAction",{"@type":100,"mainEntity":101},"FAQPage",[102,108,112],{"name":103,"@type":104,"acceptedAnswer":105},"What materials are required for this paper?","Question",{"text":106,"@type":107},"A calculator and mathematical instruments are required.","Answer",{"name":109,"@type":104,"acceptedAnswer":110},"How long is the examination and what is the marking structure?",{"text":111,"@type":107},"The time allowed is 2 hours, and the maximum mark for the paper is 105. Marks for each question are shown in brackets.",{"name":113,"@type":104,"acceptedAnswer":114},"Which topics are covered by the provided formulae sheet?",{"text":115,"@type":107},"It includes sphere and cone volume/surface area, triangle area, sine and cosine rules, the quadratic equation, and common trigonometric identities.","https://schema.org",{"og:url":83,"og:type":118,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":120,"canonical":83},"index,follow",{"doc_id":122,"site_id":62},207502,1788599788,{"code":4,"msg":5,"data":125},{"doc_id":122,"user_id":126,"nickname":87,"user_avatar":127,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":128,"file_id":129,"file_url":130,"file_type":131,"file_size":132,"view_count":4,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":133,"language":134,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":135,"faqs":136,"seo_title":137,"seo_description":67,"update_tm":123,"read_time":138},8814010472675,"https://avatar.qwps.com/avatar/WGlhamll","| Centre Number |  |  |  |  |  | Candidate Number |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Surname |  |  |  |  |  |  |  |  |  |  |\n| Other Names |  |  |  |  |  |  |  |  |  |  |\n| Candidate Signature |  |  |  |  |  |  |  |  |  |  |\n\nLevel 2 Certificate in Further Mathematics June 2015  \nFurther Mathematics 8360/2  \nLevel 2  \nPaper 2 Calculator  \nFriday 19 June 2015 9.00am to 11.00am  \n\n| For this paper you must have:\u003Cbr>* a calculator\u003Cbr>* mathematical instruments. | |\n| --- | --- |\n\nTime allowed  \n* 2 hours  \nInstructions  \n* Use black ink or black ball-point pen. Draw diagrams in pencil.  \n* Fill in the boxes at the top of this page.  \n* Answer all questions.  \n* You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages.  \n* Do all rough work in this book. Cross through any work that you do not want to be marked.  \n* In all calculations, show clearly how you work out your answer.  \nInformation  \n* The marks for questions are shown in brackets.  \n* The maximum mark for this paper is 105 .  \n* You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book.  \n* The use of a calculator is expected but calculators with a facility for symbolic algebra must not be used.  \n| Pages | Mark |\n| --- | --- |\n| 3 |  |\n| 4 – 5 |  |\n| 6 – 7 |  |\n| 8 – 9 |  |\n| 10 – 11 |  |\n| 12 – 13 |  |\n| 14 – 15 |  |\n| 16 – 17 |  |\n| 18 – 19 |  |\n| 20 – 21 |  |\n| 22 – 23 |  |\n| 24 – 25 |  |\n| 26 – 27 |  |\n| 28 |  |\n| TOTAL |  |\n\n(JUN158360201)  \nP88615/Jun15/E3  \n8360/2  \n2  \n\n| Formulae Sheet |  |  |\n| --- | --- | --- |\n| Volume of sphere ¼ ~~4~~3 pr 3 Surface area of sphere ¼ 4pr 2\u003Cbr>Volume of cone ¼ ~~1~~3 pr 2h\u003Cbr>Curved surface area of cone ¼ prl\u003Cbr>In any triangle ABC\u003Cbr>Area of triangle ¼ ~~1~~2absin C |  | |\n| Sine rule\u003Cbr>Cosine rule |  a   b   c \u003Cbr>¼ ¼\u003Cbr>sinA sinB sin C\u003Cbr>a 2 ¼ b 2 þ c 2 􀀂 2bc cosA\u003Cbr>b 2 þ c 2 􀀂 a 2 cosA ¼\u003Cbr>2bc |  |\n| The Quadratic Equation\u003Cbr>The solutions of ax 2 þ bx þ c ¼ 0 , where a  0 , are given by x ¼ 􀀂b~~ ~~􀀃~~ ~~q~~ffi~~~~ffi~~\u003Cbr>Trigonometric Identities\u003Cbr>tan y 􀀄 scoinsyy~~ ~~ sin2 y þ cos2 y 􀀄 1 |  |  |\n\n[www.mymathscloud.com](www.mymathscloud.com)  \n(02) P/Jun15/8360/2  \n3  \nDo not write outside the box  \n| Answer all questions in the spaces provided. |\n| --- |\n| 1 A circle, centre ð0, 0Þ, has circumference 12p\u003Cbr>Work out the equation of the circle.\u003Cbr>[2 marks]\u003Cbr>\u003Cbr>Answer . ............................................................................\u003Cbr>2 a : b : c ¼ 5 : 3 : 2\u003Cbr>Work out 4a 􀀂 c : 3b\u003Cbr>Give your answer in its simplest form.\u003Cbr>[2 marks]\u003Cbr>\u003Cbr>Answer . .............. : . .............. |\n\n\n|  |\n| --- |\n| 4 |\n\n[www.mymathscloud.com](www.mymathscloud.com)  \nTurn over  \n(03)  \ns  \nP/Jun15/8360/2  \n4  \nDo not write outside the box  \n3 The distance between the points ð2, 5pÞ and ð2, 􀀂10Þ is 30 units.  \nWork out the two possible values of p.  \n[3 marks]  \n\n|  |\n| --- |\n|  |\n|  |\n|  |\n|  |\n|  |\n\nAnswer .................................... and . ..................................  \n[www.mymathscloud.com](www.mymathscloud.com)  \n(04) P/Jun15/8360/2  \n5  \nDo not write outside the box  \n4 The first term of a sequence is 1 􀀂 a  \nThe term-to-term rule of a sequence is  \nadd 2a then multiply by 3  \n4 (a) Show that the second term is 3 þ 3a  \n[1 mark]  \n\n|  |\n| --- |\n|  |\n|  |\n\n4 (b) The third term is 16  \nWork out the value of a.  \n[3 marks]  \n\n|  |\n| --- |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n\nAnswer . ............................................................................  \n\n|  |\n| --- |\n| 7 |\n\n[www.mymathscloud.com](www.mymathscloud.com)  \nTurn over  \n(05)  \ns  \nP/Jun15/8360/2  \n6  \nDo not write outside the box  \n5 A straight line L  \nis parallel to the straight line y ¼ 1 􀀂 2x  \npasses through ð3, 􀀂1Þ  \nOn the grid below, draw the straight line L for values of x from 􀀂3 to 3 .  \n[4 marks]  \n\n|  |\n| --- |\n|  |\n\ny  \n11–  \n10–  \n9–  \n8–  \n7–  \n6–  \n5– ","cbCaieuUYkVWh9wS","https://ap.wps.com/l/cbCaieuUYkVWh9wS","pdf",753455,28,"English","# Instructions\n## Time allowed\n## Instructions and information\n# Formulae Sheet\n## Key formulae\n# Questions\n## Question 1-2\n## Question 3-4\n## Question 5-6\n## Question 7-8\n## Question 9","[{\"question\":\"What materials are required for this paper?\",\"answer\":\"A calculator and mathematical instruments are required.\"},{\"question\":\"How long is the examination and what is the marking structure?\",\"answer\":\"The time allowed is 2 hours, and the maximum mark for the paper is 105. Marks for each question are shown in brackets.\"},{\"question\":\"Which topics are covered by the provided formulae sheet?\",\"answer\":\"It includes sphere and cone volume/surface area, triangle area, sine and cosine rules, the quadratic equation, and common trigonometric identities.\"}]","Level 2 Further Mathematics 8360/2 Paper 2 June 2015 - Exam Instructions and Questions | PDF",71]