[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-208558-en":3,"doc-seo-208558-105":30,"detail-sidebar-cat-0-en-105":89},{"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},208558,1099513958607,"Jiven","https://ap-avatar.wpscdn.com/avatar/100002390cf8733938c?x-image-process=image/resize,m_fixed,w_180,h_180&k=1778829742770036399",4,"Exam","Further Maths - Post 16 Prospectus (AS & A Level Syllabus)","Further Mathematics is a post-16 course building on A Level Mathematics, designed for learners with strong interest and aptitude, including those aiming for university study in mathematics or related fields such as engineering, physics, computer science and natural sciences. Students continue alongside required Mathematics and broaden pure topics while extending mechanics and discrete mathematics. The syllabus sets out course aims, assessment structure for AS and A Level, subject enrichment activities, entry requirements, progression pathways, and student support through KS5 workshops and online textbook subscriptions.","Post 16 Prospectus: FURTHER MATHS  \nAdvanced Subsidiary (AS) & Advanced Level (A2) SYLLABUS A Examining Board: OCR  \nINTRODUCTION  \nFurther Mathematics develops (and is dependent on) the study of pure and applied mathematics begun at A Level Mathematics. It is intended for those with a particular interest in and aptitude for the subject, and is recommended for those who intend to study Mathematics at University. Those with an interest in engineering, physics, computer science and natural sciences will also find the course particularly useful.  \nAll students wishing to study Further Mathematics will also be required to choose Mathematics which they will study alongside the Further Mathematics course. They will explore a wider range of pure mathematical topics along with some further mechanics and discrete mathematics.  \nThe following subject titles will be offered:  \n􀁸 A Level Mathematics with AS Level Further Mathematics  \n􀁸 A Level Mathematics with A Level Further Mathematics  \nAIM  \nThe AS and A Level subjects listed above are intended to encourage students to:  \n􀁸 develop their understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment;  \n􀁸 develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs;  \n􀁸 extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems;  \n􀁸 develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected;  \n􀁸 recognise how a situation may be represented mathematically and understand the relationship between ‘real world’ problems and standard and other mathematical models and how these can be refined and improved;  \n􀁸 use mathematics as an effective means of communication;  \n􀁸 acquire the skills needed to use technology, such as calculators, effectively and recognise when such use may be inappropriate and be aware of limitations;  \n􀁸 develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general;  \n􀁸 take increasing responsibility for their own learning and evaluation of their own mathematical development.  \nIlkley Grammar School, Cowpasture Road, Ilkley, LS29 8TR  \nPost 16 Prospectus: FURTHER MATHS  \nAdvanced Subsidiary (AS) & Advanced Level (A2) SYLLABUS A Examining Board: OCR  \nCOURSE CONTENT  \n\n| AS Level (Stand-alone AS Exam) |  | Advanced Level (Decoupled Exam) |\n| --- | --- | --- |\n| Pure Maths – Learners will extend and deepen their knowledge of proof, algebra, functions, calculus and vectors studied in AS and A level Mathematics. They will broaden their knowledge into other areas of pure mathematics with complex numbers and matrices.\u003Cbr>Discrete – Discrete mathematics is the part of mathematics dedicated to the study of discrete objects. Learners will study pure mathematical structures and techniques, and their application to solving real-world problems of existence, construction, enumeration and optimisation. Areas studied include counting, graphs and networks, algorithms, critical path analysis, linear programming, and game theory.\u003Cbr>Mechanics – Learners extend their knowledge of particles, kinematics and forces from A level Mathematics. The area covers dimensional analysis, work, energy, power, impulse, momentum and circular motion. | All the content studied at AS in more depth plus additional content including:\u003Cbr>Pure Maths – differential equations, polar coordinates and hyperbolic functions\u003Cbr>Discrete – Hamiltonian and planar graphs, the\u003Cbr>simplex algorithm and the Nash equilibrium Mechanics – the application of vectors across the topics, centres of mass and variable force |  |\n| AS ASSESSMENT | A2 ASSESSMENT |  |\n| 3 x 1 hour 15 minute exams exams | 4 x 1.5 hour exams |  |\n| Paper 1 – Pure\u003Cbr>Paper 2 – Mechanics\u003Cbr>Paper 3-Discrete | Paper 1 – Pure Mathematics\u003Cbr>Paper 2 – Pure Mathematics\u003C","cbCaiaasqr2rTECU","https://ap.wps.com/l/cbCaiaasqr2rTECU","pdf",120994,1,3,"English","en",105,"# Introduction\n# Aim\n# Course Content\n## AS Level (Stand-alone AS Exam)\n## Advanced Level (Decoupled Exam)\n# AS Assessment\n# A2 Assessment\n# Subject Enrichment\n# Subject Specific Entry Requirements\n# Where Next?\n# Student Support","[{\"question\":\"Who is Further Mathematics intended for and why is it recommended?\",\"answer\":\"It is intended for students with a particular interest in and aptitude for the subject and is recommended for those who intend to study Mathematics at university. It is also useful for students interested in engineering, physics, computer science and natural sciences.\"},{\"question\":\"What key course skills and learning outcomes does the programme aim to develop?\",\"answer\":\"The course aims to build understanding and enjoyment, strengthen logical reasoning and proof skills, extend techniques for more difficult problems, and connect different areas of mathematics. It also emphasizes mathematical modelling, communication, effective (and appropriate) use of technology, and awareness of relevance to other fields and society.\"},{\"question\":\"How is the AS and A Level course assessed and what is included?\",\"answer\":\"AS uses three 1 hour 15 minute exams covering Pure, Mechanics, and Discrete. A Level includes all AS content in greater depth plus additional Pure (including differential equations, polar coordinates and hyperbolic functions), additional Discrete (including Hamiltonian and planar graphs, simplex algorithm and Nash equilibrium), and Mechanics applications including vectors, centres of mass, and variable force.\"}]","Further Maths - Post 16 Prospectus (AS & A Level Syllabus) | PDF",1788604533,8,{"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":84,"head_meta":86,"extra_data":88,"updated_unix":28},"further-maths-post-16-prospectus-as-a-level-syllabus","",{"@graph":36,"@context":83},[37,52,66],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,50],{"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":21},"https://docshare.wps.com/document/exam/",{"item":51,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/further-maths-post-16-prospectus-as-a-level-syllabus/208558/",{"url":51,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"inLanguage":23,"description":14,"dateModified":60,"datePublished":60,"encodingFormat":59,"isAccessibleForFree":61,"interactionStatistic":62},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":41,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":63,"interactionType":64,"userInteractionCount":4},"InteractionCounter",{"@type":65},"ViewAction",{"@type":67,"mainEntity":68},"FAQPage",[69,75,79],{"name":70,"@type":71,"acceptedAnswer":72},"Who is Further Mathematics intended for and why is it recommended?","Question",{"text":73,"@type":74},"It is intended for students with a particular interest in and aptitude for the subject and is recommended for those who intend to study Mathematics at university. It is also useful for students interested in engineering, physics, computer science and natural sciences.","Answer",{"name":76,"@type":71,"acceptedAnswer":77},"What key course skills and learning outcomes does the programme aim to develop?",{"text":78,"@type":74},"The course aims to build understanding and enjoyment, strengthen logical reasoning and proof skills, extend techniques for more difficult problems, and connect different areas of mathematics. It also emphasizes mathematical modelling, communication, effective (and appropriate) use of technology, and awareness of relevance to other fields and society.",{"name":80,"@type":71,"acceptedAnswer":81},"How is the AS and A Level course assessed and what is included?",{"text":82,"@type":74},"AS uses three 1 hour 15 minute exams covering Pure, Mechanics, and Discrete. A Level includes all AS content in greater depth plus additional Pure (including differential equations, polar coordinates and hyperbolic functions), additional Discrete (including Hamiltonian and planar graphs, simplex algorithm and Nash equilibrium), and Mechanics applications including vectors, centres of mass, and variable force.","https://schema.org",{"og:url":51,"og:type":85,"og:title":13,"og:site_name":57,"og:description":14},"article",{"robots":87,"canonical":51},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":90},[91,95,99,102,107,112,117,121,126,129,133],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":92,"show_sort_weight":93,"slug":94},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":96,"show_sort_weight":97,"slug":98},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":100,"slug":101},70,"exam",{"id":103,"doc_module":4,"doc_module_name":46,"category_name":104,"show_sort_weight":105,"slug":106},5,"Comic",60,"comic",{"id":108,"doc_module":4,"doc_module_name":46,"category_name":109,"show_sort_weight":110,"slug":111},6,"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":29,"doc_module":4,"doc_module_name":46,"category_name":118,"show_sort_weight":119,"slug":120},"Research & Report",30,"research-report",{"id":122,"doc_module":4,"doc_module_name":46,"category_name":123,"show_sort_weight":124,"slug":125},9,"Religion & Spirituality",20,"religion-spirituality",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":127,"show_sort_weight":124,"slug":128},"World Cup","world-cup",{"id":130,"doc_module":4,"doc_module_name":46,"category_name":131,"show_sort_weight":130,"slug":132},10,"Lifestyle","lifestyle",{"id":134,"doc_module":4,"doc_module_name":46,"category_name":135,"show_sort_weight":103,"slug":136},19,"General","general"]