[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-207486-105":3,"detail-sidebar-cat-0-en-105":75,"doc-detail-207486-en":125},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":68,"head_meta":70,"extra_data":72,"updated_unix":74},105,"en","specimen-material-v2-aqa-level-2-certificate-in-further-mathematics-83651-paper-1-specimen-2020","SPECIMEN MATERIAL v2 - AQA Level 2 Certificate in Further Mathematics (8365/1) - Paper 1 - Specimen 2020","","SPECIMEN MATERIAL v2.0 for the AQA Level 2 Certificate in Further Mathematics (8365/1) Paper 1, Specimen 2020, designed for 1 hour 45 minutes and a total of 80 marks. The paper focuses on core algebra, equation solving, simplification, coordinate geometry of lines and rhombus area, and calculus-style curve sketching with given stationary points. It also includes a circle-angles proof requiring trigonometric reasoning and a function composition problem to determine an unknown constant p.",{"@graph":14,"@context":67},[15,34,50],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/specimen-material-v2-aqa-level-2-certificate-in-further-mathematics-83651-paper-1-specimen-2020/207486/",4,{"url":32,"name":10,"@type":35,"author":36,"headline":10,"publisher":39,"fileFormat":42,"inLanguage":8,"description":12,"dateModified":43,"datePublished":44,"encodingFormat":42,"isAccessibleForFree":45,"interactionStatistic":46},"DigitalDocument",{"name":37,"@type":38},"Dipper","Person",{"url":19,"name":40,"@type":41},"DocShare","Organization","application/pdf","2026-09-06","2026-09-05",true,{"@type":47,"interactionType":48,"userInteractionCount":22},"InteractionCounter",{"@type":49},"ViewAction",{"@type":51,"mainEntity":52},"FAQPage",[53,59,63],{"name":54,"@type":55,"acceptedAnswer":56},"What are the key exam rules for answering on this paper?","Question",{"text":57,"@type":58},"Use black ink/ball-point pen, draw diagrams in pencil, answer all questions, and write only in the spaces provided. 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Draw diagrams in pencil.  \n• Fill in the boxes at the bottom of this page.  \n• Answer all questions.  \n• You must answer the questions in the space 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 80.  \n• You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer booklet.  \n\n| Please write clearly, in block capitals, to allow character computer recognition. |  |  |  |\n| --- | --- | --- | --- |\n| Centre number  |  | Candidate number | |\n| Surname | |  |  |\n| Forename(s)  Candidate signature   |  |  |  |\n\nThere are no questions printed on this page  \nDO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED  \nAnswer all questions in the spaces provided.  \ny 6 × y  4  \n1 (a) y m = y  \nCircle the value of m.  \n[1 mark]  \n– 2 1.5 2 3  \n1 (b) an × a5 = a5  \nWork out the value of n.  \n[1 mark]  \nAnswer    \n1 (c) (c5)p = (c2)6  \nWork out the value of p.  \n[2 marks]  \nAnswer    \n2 Solve 37x −13 = 2  \n[2 marks]  \n\n|  |\n| --- |\n|  |\n|  |\n\nx =    \n3 3a(2x – 1) + 4(ax + 5) ≡ 60x + b  \nWork out the values of a and b.  \n[4 marks]  \n\n|  |\n| --- |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n\na =   b =    \n\n| 4 ABC is a straight line with AB : BC = 5 : 2 |  |\n| --- | --- |\n| | Not drawn accurately |\n| Work out the coordinates of C.\u003Cbr>[4 marks]\u003Cbr>\u003Cbr>Answer ( , )  |  |\n\n5 y = 2x10 − ~~ ~~3x2  \nWork out d~~d~~yx  \n[3 marks]  \n\n|  |\n| --- |\n|  |\n\nAnswer    \n6 Simplify fully ~~ ~~15x2~~ ~~y12x~~ ~~−54xyy2~~ ~~  \n[3 marks]  \n\n|  |\n| --- |\n|  |\n|  |\n|  |\n\nAnswer    \n\n| 7 ABCD is a rhombus with side length 8 cm Angle ABC = 60o |  |  |\n| --- | --- | --- |\n| B | A D\u003Cbr>| Not drawn accurately |\n| Work out the area of the rhombus.\u003Cbr>Give your answer in the form a b cm2 where a and b are integers.\u003Cbr>[3 marks]\u003Cbr>\u003Cbr>Answer   cm2 |  |  |\n\n8 The curve y = 2x3 – 3x2 – 12x + 6  \nhas a maximum point at L (–1, 13)  \nhas a minimum point at M (2,–14)  \nintersects the y-axis at N.  \nThe curve crosses the x-axis at three distinct points.  \nOn the axes below, sketch the curve.  \nLabel the points L, M and N on your sketch.  \n[3 marks]  \ny   \nO  \nx  \n\n| 9 A, B, C and D are points on a circle.\u003Cbr>∠BCA = x ∠ACD = 2x ∠ CAD = 3x ∠ CAB = 4x |  |  |\n| --- | --- | --- |\n| C | \u003Cbr>B\u003Cbr>x\u003Cbr>4x\u003Cbr>2x 3x\u003Cbr>D | Not drawn accurately\u003Cbr>A\u003Cbr>[4 marks] |\n| Prove that AC is a diameter. |  |  |\n|  |  |  |\n\n10 f(x) = 􀂧􀂨􀂩 ~~ ~~9x2~~ ~~ 􀂷􀂹􀂸 −1  \ng (x) = 1 − px3 where p is a constant.  \nGiven that f 􀂧􀂨􀂩 ~~ ~~13􀂷􀂹􀂸 = g  ~~ ~~13􀂷􀂹􀂸 work out the value of p.  \n[5 marks]  \n\n|  |\n| --- |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n|  |\n\nAnswer","cbCainbvSxuWBeun","https://ap.wps.com/l/cbCainbvSxuWBeun","pdf",110604,"English","# Instructions\n## Candidate information and general rules\n# Questions\n## Q1 Algebraic powers and exponent relationships\n## Q2 Linear equation solving\n## Q3 Solving for parameters in an identity\n## Q4 Coordinate geometry with a ratio on a straight line\n## Q5 Differentiation-style expression manipulation\n## Q6 Algebraic simplification\n## Q7 Rhombus area using geometry and angles\n## Q8 Curve given by a cubic with maximum, minimum and intercepts\n## Q9 Circle angle relationships and diameter proof\n## Q10 Functions with an unknown constant","[{\"question\":\"What are the key exam rules for answering on this paper?\",\"answer\":\"Use black ink/ball-point pen, draw diagrams in pencil, answer all questions, and write only in the spaces provided. Do all rough work in the book and cross out work not to be marked.\"},{\"question\":\"How many marks and how long is this specimen paper?\",\"answer\":\"The maximum mark is 80, and the time allowed is 1 hour 45 minutes.\"},{\"question\":\"Which topics are covered by the questions in this specimen?\",\"answer\":\"The paper includes algebra with indices and identities, equation solving, geometry involving coordinates and a rhombus, curve sketching for a cubic, circle-angle reasoning, and a functions problem to find a constant.\"}]","SPECIMEN MATERIAL v2 - AQA Level 2 Certificate in Further Mathematics (8365/1) - Paper 1 - Specimen 2020 | PDF"]