[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-208554-en":3,"doc-seo-208554-105":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},208554,7971474921005,"Grenda","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",4,"Exam","NDHS Guide to A-Level Further Maths 2021 - Preparation and Subject Overview","Guide to A-Level Further Mathematics outlining what the qualification is and how it differs from A-Level Mathematics. Covers the course structure—Further Pure Mathematics plus Further Mechanics and Discrete/Decision Mathematics—along with core concepts such as matrices, complex numbers, and optimisation in discrete problems. Specifies typical UK entry requirements (GCSE English, GCSE points, GCSE Mathematics grade, and concurrent study of A-Level Mathematics). Includes JCQ entry trends for AS and A level Further Maths, subject entry breakdowns, first cohort examined data, and how Further Maths relates to acceptance by degree category, plus exemplar university entry requirements for 2020–2021.","What is Further Mathematics?  \nFurther Mathematics is an additional A level qualification taken in addition to an A level in Mathematics.  \nIt is designed to stretch and challenge mathematic students and prepare them for university courses in mathematics and related quantitative and scientific subjects.  \nWhat is covered in Further Mathematics?  \nA level  \n\n| \u003Cbr>Further Pure Mathematics (66%) |  | Further Mechanics (17%) and Discrete Mathematics (17%) |\n| --- | --- | --- |\n|  |  |  |\n\nPure maths in Further Mathematics  \nTwo examples of important Further pure topics are complex numbers and matrices.  \nMatrices are arrays of numbers such as 1 0  \n0 2 . They can be used to solve sets of simultaneous equations and to represent transformations such as the shear shown in the diagram below.  \nComplex numbers are based on the‘imaginary’ number −1 . They lead to the study of lots of new areas of mathematics, including fractals like those shown in the image above.  \nWhat is Discrete/Decision Maths?  \nMany of the problems in Discrete maths involve Optimisation – finding an efficient solution – and hence methods are applicable to many real world situations.  \nWhat would be the most efficient route for delivering post around this network of streets?  \nA Level Further Maths course requirements:  \n▪ A minimum of a grade 4 in GCSE English (Language) or GCSE English (Literature), AND  \n▪ A minimum total GCSE points score of 39 for the best eight individual GCSE subjects , AND  \n▪ A minimum of a grade 7 in GCSE Mathematics AND  \n▪ To be studying A Level Mathematics  \nA and AS level Further Mathematics entries in the UK 2003-2020 (JCQ data)  \nNumber of Entries  \n30,000 27,500 25,000 22,500 20,000 17,500 15,000 12,500 10,000  \n7,500 5,000 2,500  \n0  \n2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020  \n AS Further Maths A level Further Maths  \n2020 UK A level entries by subject (JCQ data)  \nMathematics Psychology Biology English Chemistry  \nHistory Art/Design Sociology Physics Business Economics Geography Media Std Politics  \nRE Further Maths Computing Law  \nPE  \nDrama/ Exp Arts Design & Tech  \nSpanish French Music Classics German ICT Irish  \n65255  \n65057  \n64296  \n56026  \n44864  \n41837  \n38987  \n37893  \n36181  \n31318  \n30198  \n21584  \n17658  \n17539  \n14966  \n12426  \n11701  \n11451  \n10915  \n10588  \n8705  \n8260  \n5698  \n4777  \n2845  \n1332  \n315  \n94168  \nCore Maths entries  \nFirst cohort of students examined in 2016  \n| 2016 | 2017 | 2018 | 2019 | 2020 |\n| --- | --- | --- | --- | --- |\n| 2931 | 5376 | 6849 | 9027 | 11792 |\n\nA level Further Maths and degrees  \n\n| Degree subject category | % of accepted students with A levels who have studied A level Further Maths (entry 2016) |\n| --- | --- |\n| Mathematics (G1) | 65% |\n| Physics (F3) | 38% |\n| General Engineering (H1) | 28% |\n| Mechanical Engineering (H3) | 26% |\n| Chemical, Process and Energy Engineering (H8) | 17% |\n| Computer Science (I1) | 16% |\n| Economics (L1) | 11% |\n| Chemistry (F1) | 8% |\n\nMaths  \nExemplar Entry Requirements  \nAAA / A*AB alternatively  \nAAB / A*BB, including Further Mathematics or  \nAAB / A*BB, PLUS Grade A in AS level Further Mathematics In all cases, the first grade quoted is the Mathematics A level.  \nLeeds University 2021 entry  \nA*A*A-Mathematics, Further Mathematics and one other subject. Also, Grade 1 in STEP II and III.  \nCambridge University 2021 entry  \nCCE including Mathematics (typical offer)  \nLondon Metropolitan University 2020 entry","cbCaihw0QkMTusBf","https://ap.wps.com/l/cbCaihw0QkMTusBf","pdf",724109,1,19,"English","en",105,"# What is Further Mathematics?\n## What is covered in Further Mathematics?\n## Pure maths in Further Mathematics\n## What is Discrete/Decision Maths?\n## A Level Further Maths course requirements\n## A and AS level Further Mathematics entries in the UK (2003-2020)\n## 2020 UK A level entries by subject\n## Core Maths entries (first cohort examined 2016-2020)\n## A level Further Maths and degrees\n## Exemplar university entry requirements","[{\"question\":\"What is A-Level Further Mathematics and how is it taken?\",\"answer\":\"Further Mathematics is an additional A level taken alongside A level Mathematics. It is designed to challenge mathematic students and prepare them for university-level quantitative subjects.\"},{\"question\":\"Which topics are covered in Further Mathematics?\",\"answer\":\"The course includes Further Pure Mathematics (66%), plus Further Mechanics (17%) and Discrete Mathematics (17%). It also covers key ideas such as matrices and complex numbers, and discrete/decision mathematics focused on optimisation.\"},{\"question\":\"What are the typical course entry requirements for A-Level Further Maths in the UK?\",\"answer\":\"Requirements include a minimum grade 4 in GCSE English (either Language or Literature), a total GCSE points score of 39 for the best eight subjects, a minimum grade 7 in GCSE Mathematics, and being enrolled in A Level Mathematics.\"}]","NDHS Guide to A-Level Further Maths 2021 - Preparation and Subject Overview | PDF",1788604526,48,{"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},"ndhs-guide-to-a-level-further-maths-2021-preparation-and-subject-overview","",{"@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/ndhs-guide-to-a-level-further-maths-2021-preparation-and-subject-overview/208554/",{"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","2026-09-05",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 is A-Level Further Mathematics and how is it taken?","Question",{"text":74,"@type":75},"Further Mathematics is an additional A level taken alongside A level Mathematics. It is designed to challenge mathematic students and prepare them for university-level quantitative subjects.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"Which topics are covered in Further Mathematics?",{"text":79,"@type":75},"The course includes Further Pure Mathematics (66%), plus Further Mechanics (17%) and Discrete Mathematics (17%). It also covers key ideas such as matrices and complex numbers, and discrete/decision mathematics focused on optimisation.",{"name":81,"@type":72,"acceptedAnswer":82},"What are the typical course entry requirements for A-Level Further Maths in the UK?",{"text":83,"@type":75},"Requirements include a minimum grade 4 in GCSE English (either Language or Literature), a total GCSE points score of 39 for the best eight subjects, a minimum grade 7 in GCSE Mathematics, and being enrolled in A Level Mathematics.","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},[92,96,100,103,108,113,118,123,128,131,135],{"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":109,"doc_module":4,"doc_module_name":46,"category_name":110,"show_sort_weight":111,"slug":112},6,"Technology",50,"technology",{"id":114,"doc_module":4,"doc_module_name":46,"category_name":115,"show_sort_weight":116,"slug":117},7,"Healthcare",40,"healthcare",{"id":119,"doc_module":4,"doc_module_name":46,"category_name":120,"show_sort_weight":121,"slug":122},8,"Research & Report",30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":21,"doc_module":4,"doc_module_name":46,"category_name":136,"show_sort_weight":104,"slug":137},"General","general"]