[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-620178-105":59,"doc-detail-620178-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","as-and-a-level-maths-content-version-10","AS and A-level Maths content - Version 1.0","","Mathematics subject content for AS and A-level outlines the complete course of study set by the Department for Education (DfE) and shared across exam boards. The document specifies which content applies at AS only versus A-level only, and defines the full set of bold and standard-type assessed material within overarching themes. It details required study across proof, algebra and functions, coordinate geometry, sequences and series, and trigonometry, including key skills, methods, and graph-based interpretation.",{"@graph":69,"@context":122},[70,84,105],{"@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/as-and-a-level-maths-content-version-10/620178/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/as-and-a-level-maths-content-version-10/620178.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How is AS content different from A-level content in this document?","Question",{"text":112,"@type":113},"Content shown in bold text is assessed within AS overarching themes and represents 100% of AS content. Standard type content is assessed at A-level only, and bold and standard-type content together represent 100% of the A-level specification content.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What proof topics are required at A-level?",{"text":117,"@type":113},"Requirements include understanding and using the structure of mathematical proof, using methods such as proof by deduction and proof by exhaustion, plus disproof by counterexample and proof by contradiction, including applications such as the irrationality of √2 and the infinity of primes.",{"name":119,"@type":110,"acceptedAnswer":120},"Which areas beyond proof are covered in the required curriculum?",{"text":121,"@type":113},"The document lists requirements for algebra and functions, coordinate geometry in the (x, y) plane, sequences and series, and trigonometry, including equation-solving techniques, graph interpretation, series formulas, and sine/cosine/tangent concepts.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},620178,1793097335,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","AS and A-level Maths content  \nVersion 1.0  \nThe subject content for AS and A-level Mathematics is set out by the Department for Education (DfE) and is common across all exam boards. The content set out in this document covers the complete AS and A-level course of study.  \nContent required for AS Mathematics is shown in bold text. This, assessed in the context of the AS overarching themes, represents 100% of the AS content.  \nThe content in standard type is assessed at A-level only.  \nA-level specifications in mathematics must include the all of the following content in bold and standard type. This, assessed in the context of the overarching themes, represents 100% of the content.  \nA: Proof A1  \nUnderstand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof, including proof by deduction, proof by exhaustion.  \nDisproof by counter example.  \nProof by contradiction (including proof of the irrationality of √2 and the infinity of primes, and application to unfamiliar proofs) .  \nB: Algebra and functions B1  \nUnderstand and use the laws of indices for all rational exponents.  \nB2  \nUse and manipulate surds, including rationalising the denominator.  \nB3  \nWork with quadratic functions and their graphs; the discriminant of a quadratic function, including the conditions for real and repeated roots; completing the square; solution of quadratic equations including solving quadratic equations in a function of the unknown.  \nB4  \nSolve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.  \nB5  \nSolve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions.  \nExpress solutions through correct use of ‘and’ and ‘or’, or through set notation.  \nRepresent linear and quadratic inequalities such as y > x + 1 andy > ax2 + bx + c graphically.  \nB6  \nManipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem.  \nSimplify rational expressions including by factorising and cancelling, and algebraic division (by linear expressions only) .  \nB7  \nUnderstand and use graphs of functions; sketch curves defined by simple equations including polynomials, the modulus of a linear function, y = ~~ ~~ax and y = ~~ ~~ax2~~ ~~ (including their vertical and horizontal asymptotes); interpret algebraic solution of equations graphically; use intersection points of graphs to solve equations.  \nUnderstand and use proportional relationships and their graphs.  \nB8  \nUnderstand and use composite functions; inverse functions and their graphs.  \nB9  \nUnderstand the effect of simple transformations on the graph ofy = f(x) including sketching associated graphs: y = af(x) , y = f(x) + a , y = f(x + a) , y = f(ax) , and combinations of these transformations.  \nB10  \nDecompose rational functions into partial fractions (denominators not more complicated than squared linear terms and with no more than 3 terms, numerators constant or linear) .  \nB11  \nUse of functions in modelling, including consideration of limitations and refinements of the models.  \nC: Coordinate geometry in the (x, y) plane C1  \nUnderstand and use the equation of a straight line, including the forms  \ny –y1 = m(x – x1) and ax + by + c = 0 ; gradient conditions for two straight lines to be parallel or perpendicular.  \nBe able to use straight line models in a variety of contexts.  \nC2  \nUnderstand and use the coordinate geometry of the circle including using the equation of a circle in the form (x – a)2 + (y – b)2 = r2; completing the square to find the centre and radius of a circle; use of the following properties:  \n• the angle in a semicircle is a right angle  \n• the perpendicular from the centre to a chord bisects the chord  \n• the radius of a c","cbCaiuzJhM564PAe","https://ap.wps.com/l/cbCaiuzJhM564PAe","pdf",268016,14,"English","# Proof\n## Algebra and functions\n## Coordinate geometry in the (x, y) plane\n## Sequences and series\n## Trigonometry","[{\"question\":\"How is AS content different from A-level content in this document?\",\"answer\":\"Content shown in bold text is assessed within AS overarching themes and represents 100% of AS content. Standard type content is assessed at A-level only, and bold and standard-type content together represent 100% of the A-level specification content.\"},{\"question\":\"What proof topics are required at A-level?\",\"answer\":\"Requirements include understanding and using the structure of mathematical proof, using methods such as proof by deduction and proof by exhaustion, plus disproof by counterexample and proof by contradiction, including applications such as the irrationality of √2 and the infinity of primes.\"},{\"question\":\"Which areas beyond proof are covered in the required curriculum?\",\"answer\":\"The document lists requirements for algebra and functions, coordinate geometry in the (x, y) plane, sequences and series, and trigonometry, including equation-solving techniques, graph interpretation, series formulas, and sine/cosine/tangent concepts.\"}]","AS and A-level Maths content - Version 1.0 | PDF",1792463774,35]