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It defines marking categories and how method, accuracy, dependent marks, follow-through credit, special cases, and equivalent responses are applied. The document includes question-by-question answer guidance with marks and brief comment notes, including non-calculator tasks and algebra, inequalities, functions, factorization, simultaneous equations, geometry angle identification, and calculus differentiation/integration related items.",{"@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-certificate-in-further-mathematics-paper-1-mark-scheme/207030/",{"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},"Tawan","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 marking categories does the mark scheme define?","Question",{"text":106,"@type":107},"It defines method marks (M), accuracy marks (A), independent versus dependent marks (MDep/BDep), follow-through marks (ft), special cases (SC), and guidance on accepting equivalent answers (oe).","Answer",{"name":109,"@type":104,"acceptedAnswer":110},"Does the mark scheme require seeing the full method to award accuracy?",{"text":111,"@type":107},"Accuracy marks can be implied from a correct method, so it is not necessary to always see the method when awarding accuracy.",{"name":113,"@type":104,"acceptedAnswer":114},"What is included for Paper 1 in the mark scheme?",{"text":115,"@type":107},"Paper 1 - Non-Calculator includes a structured table listing each question with expected answers, the mark awarded, and brief comments indicating common pitfalls or allowable alternatives.","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},207030,1788597457,{"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":41},2336475104042,"https://ap-avatar.wpscdn.com/avatar/22000c4c32af1715be0?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786537525561427321","Version 1 .0  \n􀀟􀀠􀀡   \nLevel 2 Certificate in Further Mathematics June 2012  \nPaper 1 8360/1  \nMark Scheme  \nFurther copies of this Mark Scheme are available to download from the AQA Website: [www.aqa.org.uk](www.aqa.org.uk)[ ](www.aqa.org.uk)[Copyright](Copyright) © [201](201)1 AQA and its licensors. All rights reserved.  \nCOPYRIGHT  \nAQA retains the copyright on all its publications. However, registered centres for AQA are permitted to copy material from this booklet for their own internal use, with the following important exception: AQA cannot give permission to centres to photocopy any material that is acknowledged to a third party even for internal use within the centre.  \nSet and published by the Assessment and Qualifications Alliance.  \nThe Assessment and Qualifications Alliance (AQA) is a company limited by guarantee registered in England and Wales (company number 3644723) and a registered charity (registered charity number 1073334) . Registered address: AQA, Devas Street, Manchester M15 6EX  \nGlossary for Mark Schemes  \nThese examinations are marked in such a way as to award positive achievement wherever possible. Thus, for these papers, marks are awarded under various categories.  \nM Method marks are awarded for a correct method which could lead  \nto a correct answer.  \nA Accuracy marks are awarded when following on from a correct method. It is not necessary to always see the method. This can be implied.  \nB Marks awarded independent of method.  \nMDep A method mark dependent on a previous method mark being awarded.  \nBDep A mark that can only be awarded if a previous independent mark has been awarded.  \nft Follow through marks. Marks awarded following a mistake in an  \nearlier step.  \nSC Special case. Marks awarded within the scheme for a common  \nmisinterpretation which has some mathematical worth.  \noe Or equivalent. Accept answers that are equivalent.  \neg, accept 0.5 as well as 12  \nPaper 1-Non-Calculator  \n\n| Q | Answer | Mark | Comments |\n| --- | --- | --- | --- |\n\n\n| 1(a) | 9 | B1 |  |\n| --- | --- | --- | --- |\n| 1(b) | f(x) ≥ 7 | B1 | Allow y ≥ 7 |\n\n\n| 2 | 􀂧10 􀂷􀂨􀂩 17􀂹􀂸 | B2 | B1 For each component 􀂨􀂧􀂩105􀀎􀀎102􀂷􀂹􀂸 scores B1 |\n| --- | --- | --- | --- |\n\n\n| 3 | 3x \u003C 􀀐9 or x \u003C 􀀐3 | M1 | oe |\n| --- | --- | --- | --- |\n|  | 􀀐4 | A1 | SC1 For x 􀁤 􀀐4 |\n\n\n| 4(a) | 2(x2 􀀐 x 􀀐 20) | M1 | Common factor might be removed later |\n| --- | --- | --- | --- |\n|  | (2x + a)(x + b) or\u003Cbr>2(x + c)(x + d) | M1 | ab = 􀁲 40 or 2b + a = 􀁲 2 cd = 􀁲 20 or c + d = 􀁲 1 |\n|  | 2(x + 4)(x – 5) | A1 | (2x + 8)(x – 5) and (x + 4)(2x – 10) and (x + 4)(x 􀀐 5) all score SC2\u003Cbr>(x 􀀐 4)(x + 5) scores SC1 |\n| 4(b) | (x + y)[(x + y) + (2x + 5y)] | M1 |  |\n|  | (x + y)(3x + 6y) | A1 |  |\n|  | 3(x + y)(x + 2y) | A1 | (x + y)(x + 2y) scores SC2 |\n| Alt 4(b) | x 2 + xy + xy + y2 + 2x2 + 2xy + 5xy + 5y 2\u003Cbr>or\u003Cbr>3x2 + 9xy + 6y 2 | M1 | Condone two errors |\n|  | (x + y)(3x + 6y) or (3x +3y)(x + 2y) or 3(x2 + 3xy + 2y 2) | A1 |  |\n|  | 3(x + y)(x + 2y) | A1 | (x + y)(x + 2y) scores SC2 |\n\n\n| 5 | 8c3d 12 | B2 | B1 For two out of three components correct |\n| --- | --- | --- | --- |\n\n\n| Q | Answer | Mark | Comments |\n| --- | --- | --- | --- |\n\n\n| 6 | 2y – 3x = 4\u003Cbr>3y + 2x = –7 | M1 | oe Rearrange into suitable form for elimination\u003Cbr>Allow one error |\n| --- | --- | --- | --- |\n|  | 6y – 9x = 12 4y – 6x = 8\u003Cbr>and or and\u003Cbr>6y + 4x = –14 9y + 6x = –21 | M1 | oe Attempting to equate x or y coefficients Allow one error |\n|  | 13x = –26 or 13y = –13 | M1 | oe Correct elimination from their equations only award if 􀁤 1 error on first two M marks |\n|  | x = –2 and y = –1 | A1 |  |\n| Alt 1\u003Cbr>6 | 2y = 3x + 4 3x = 2y 􀀐 4\u003Cbr>and or and\u003Cbr>3y = 􀀐2x 􀀐 7 2x = 􀀐3y 􀀐 7 | M1 | oe Rearrange into suitable form for elimination\u003Cbr>Allow one error |\n|  | 6y = 9x + 12 6x = 4y 􀀐 8\u003Cbr>and or and\u003Cbr>6y = −4x – 14 6x = −9y − 21 | M1 | oe Attempting to equate x or y coefficients Allow one error |\n|  | 0 = 13x + 26 or 0 = 13y + 13 | M1 | oe Correct elimination from their equations Only ","cbCainEPaakfysTr","https://ap.wps.com/l/cbCainEPaakfysTr","pdf",183261,12,"English","# Glossary for Mark Schemes\n## Marking principles\n# Paper 1 - Non-Calculator\n## Question marking table (Q, Answer, Mark, Comments)","[{\"question\":\"What marking categories does the mark scheme define?\",\"answer\":\"It defines method marks (M), accuracy marks (A), independent versus dependent marks (MDep/BDep), follow-through marks (ft), special cases (SC), and guidance on accepting equivalent answers (oe).\"},{\"question\":\"Does the mark scheme require seeing the full method to award accuracy?\",\"answer\":\"Accuracy marks can be implied from a correct method, so it is not necessary to always see the method when awarding accuracy.\"},{\"question\":\"What is included for Paper 1 in the mark scheme?\",\"answer\":\"Paper 1 - Non-Calculator includes a structured table listing each question with expected answers, the mark awarded, and brief comments indicating common pitfalls or allowable alternatives.\"}]","Level 2 Certificate in Further Mathematics - Paper 1 - Mark Scheme | PDF"]