[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-621401-105":59,"doc-detail-621401-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","mathematics-gcse-higher-tier-formulae-sheet-2027","Mathematics GCSE Higher Tier - Formulae Sheet - 2027","","This document provides the official formulae sheet for the AQA GCSE Mathematics Higher Tier examination, specifically curated for the 2027 assessment cycle. It includes essential mathematical formulas covering various topics such as geometry, including perimeters, areas of circles and trapeziums, and volume of prisms. Furthermore, it outlines fundamental algebraic and trigonometric principles, such as the quadratic formula, Pythagoras' Theorem, the Sine rule, the Cosine rule, and the formula for the area of a triangle. Additional sections detail compound interest calculations and probability theory, including both the sum and product rules for independent or dependent events. This resource is designed to support students by providing standardized references required for higher-level mathematical problem-solving during formal examination conditions, ensuring accuracy and consistency in academic testing.",{"@graph":69,"@context":123},[70,84,106],{"@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/mathematics-gcse-higher-tier-formulae-sheet-2027/621401/",{"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/mathematics-gcse-higher-tier-formulae-sheet-2027/621401.png","ImageObject",300,407,{"name":92,"@type":93},"Chumphorn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"Which mathematical topics are covered in the AQA GCSE Higher Tier formulae sheet?","Question",{"text":113,"@type":114},"The sheet covers perimeter, area, and volume calculations, the quadratic formula, Pythagoras' Theorem, trigonometry, compound interest, and probability theory.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are the formulas in this document applicable for years other than 2027?",{"text":118,"@type":114},"No, this specific formulae sheet is designated for exams in 2027 only, according to the document's explicit instructions.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the provided formula for the area of a trapezium?",{"text":122,"@type":114},"The area of a trapezium is calculated as 1/2(a + b)h, where a and b are the lengths of the parallel sides and h is their perpendicular separation.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},621401,1792719993,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24,"preview_page_count":4},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","GCSE  \nMATHEMATICS HIGHER TIER  \nFormulae Sheet  \nInsert  \nIB/M/Insert to GCSE Mathematics Higher Tier/E8 FOR EXAMS IN 2027 ONLY  \n8300  \nPerimeter, area and volume  \nWhere a and b are the lengths of the parallel sides and h is their perpendicular separation:  \nArea of a trapezium = 12 (a + b) h  \nVolume of a prism = area of cross section × length Where r is the radius and d is the diameter:  \nCircumference of a circle = 2πr = πd Area of a circle = πr2  \nQuadratic formula  \nThe solution of ax2 + bx + c = 0 where a ≠ 0  \nx = –~~ ~~b~~ ~~±~~ ~~b22a~~ ~~–~~ ~~4ac  \nPythagoras’ Theorem and Trigonometry  \nIn any right-angled triangle where a, b and c are the length of the sides and c is the hypotenuse:  \na 2 + b2 = c 2  \nIn any right-angled triangle ABC where a, b and care the length of the sides and c is the hypotenuse:  \nsinA = ac~~ ~~ cos A = bc~~ ~~ tan A = ab  \nIn any triangle ABC where a, b and c are the length of the sides:  \nsine rule: sianA = sibnB = sicnC  \ncosine rule: a 2 = b 2 + c 2 – 2bc cos A Area of triangle = 12 ab sin C  \nCompound Interest  \nWhere P is the principal amount, r is the interest rate over a given period and n is number of times that the interest is compounded:  \nTotal accrued = P 􀂧􀂨􀂩 1 + 1r00~~ ~~ 􀂷􀂹􀂸 n  \nProbability  \nWhere P (A) is the probability of outcome A and P (B) is the probability of outcome B:  \nP (A or B) = P(A) + P(B)– P(A andB) P (A andB) = P (A given B) P(B)  \nCopyright © 2027 AQA and its licensors. All rights reserved. IB/M/Insert to GCSE Mathematics Higher Tier  \nFOR EXAMS IN 2027 ONLY","cbCainIc3eO8JlBW","https://ap.wps.com/l/cbCainIc3eO8JlBW","pdf",307199,"English","# Perimeter, area and volume\n# Quadratic formula\n# Pythagoras’ Theorem and Trigonometry\n# Compound Interest\n# Probability","[{\"question\":\"Which mathematical topics are covered in the AQA GCSE Higher Tier formulae sheet?\",\"answer\":\"The sheet covers perimeter, area, and volume calculations, the quadratic formula, Pythagoras' Theorem, trigonometry, compound interest, and probability theory.\"},{\"question\":\"Are the formulas in this document applicable for years other than 2027?\",\"answer\":\"No, this specific formulae sheet is designated for exams in 2027 only, according to the document's explicit instructions.\"},{\"question\":\"What is the provided formula for the area of a trapezium?\",\"answer\":\"The area of a trapezium is calculated as 1/2(a + b)h, where a and b are the lengths of the parallel sides and h is their perpendicular separation.\"}]","Mathematics GCSE Higher Tier - Formulae Sheet - 2027 | PDF",1792465483]