[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-207022-105":3,"detail-sidebar-cat-0-en-105":75,"doc-detail-207022-en":125},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":68,"head_meta":70,"extra_data":72,"updated_unix":74},105,"en","gcse-mathematics-higher-tier-formulae-sheet-for-exams-in-2026-only","GCSE Mathematics Higher Tier Formulae Sheet - For Exams in 2026 Only","","This document is a formulae sheet for the GCSE Mathematics Higher Tier, intended for exams in 2026. It provides essential formulas covering various mathematical topics including perimeter, area, and volume of shapes like trapeziums and prisms, as well as circle formulas for circumference and area. It also includes the quadratic formula for solving quadratic equations of the form ax² + bx + c = 0, and formulas related to Pythagoras' Theorem and Trigonometry in right-angled and general triangles, such as the sine rule, cosine rule, and the area of a triangle using sine. Furthermore, it details the compound interest formula, calculating total accrued amount based on principal, interest rate, and compounding frequency. Finally, it presents probability formulas, specifically for combined events P(A or B) and conditional probability P(A and B). The sheet is copyrighted by AQA and its licensors.",{"@graph":14,"@context":67},[15,34,50],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/gcse-mathematics-higher-tier-formulae-sheet-for-exams-in-2026-only/207022/",4,{"url":32,"name":10,"@type":35,"author":36,"headline":10,"publisher":39,"fileFormat":42,"inLanguage":8,"description":12,"dateModified":43,"datePublished":44,"encodingFormat":42,"isAccessibleForFree":45,"interactionStatistic":46},"DigitalDocument",{"name":37,"@type":38},"Mason","Person",{"url":19,"name":40,"@type":41},"DocShare","Organization","application/pdf","2026-09-08","2026-09-05",true,{"@type":47,"interactionType":48,"userInteractionCount":30},"InteractionCounter",{"@type":49},"ViewAction",{"@type":51,"mainEntity":52},"FAQPage",[53,59,63],{"name":54,"@type":55,"acceptedAnswer":56},"What is the area of a trapezium formula provided?","Question",{"text":57,"@type":58},"The area of a trapezium is given by 1/2 (a + b) h, where a and b are the lengths of the parallel sides and h is their perpendicular separation.","Answer",{"name":60,"@type":55,"acceptedAnswer":61},"What is the formula for the circumference and area of a circle?",{"text":62,"@type":58},"The circumference of a circle is 2πr or πd, where r is the radius and d is the diameter. The area of a circle is πr².",{"name":64,"@type":55,"acceptedAnswer":65},"What are the trigonometric ratios for a right-angled triangle?",{"text":66,"@type":58},"In a right-angled triangle ABC, sin A = a/c, cos A = b/c, and tan A = a/b, where a and b are the lengths of the sides and c is the hypotenuse.","https://schema.org",{"og:url":32,"og:type":69,"og:title":10,"og:site_name":40,"og:description":12},"article",{"robots":71,"canonical":32},"index,follow",{"doc_id":73,"site_id":7},207022,1788597380,{"code":4,"msg":76,"data":77},"success",[78,82,86,89,94,99,104,109,114,117,121],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":79,"show_sort_weight":80,"slug":81},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":83,"show_sort_weight":84,"slug":85},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":87,"slug":88},70,"exam",{"id":90,"doc_module":4,"doc_module_name":25,"category_name":91,"show_sort_weight":92,"slug":93},5,"Comic",60,"comic",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},6,"Technology",50,"technology",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},7,"Healthcare",40,"healthcare",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},8,"Research & Report",30,"research-report",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},9,"Religion & Spirituality",20,"religion-spirituality",{"id":112,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":112,"slug":116},"World Cup","world-cup",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":119,"show_sort_weight":118,"slug":120},10,"Lifestyle","lifestyle",{"id":122,"doc_module":4,"doc_module_name":25,"category_name":123,"show_sort_weight":90,"slug":124},19,"General","general",{"code":4,"msg":76,"data":126},{"doc_id":73,"user_id":127,"nickname":37,"user_avatar":128,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":129,"file_id":130,"file_url":131,"file_type":132,"file_size":133,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":134,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":135,"faqs":136,"seo_title":137,"seo_description":12,"update_tm":74,"read_time":90},5909887256941,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","GCSE  \nMATHEMATICS HIGHER TIER  \nFormulae Sheet  \nInsert  \nIB/M/Insert to GCSE Mathematics Higher Tier/E8 FOR EXAMS IN 2026 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 © 2026 AQA and its licensors. All rights reserved. IB/M/Insert to GCSE Mathematics Higher Tier  \nFOR EXAMS IN 2026 ONLY","cbCaifuOn2xb5SZC","https://ap.wps.com/l/cbCaifuOn2xb5SZC","pdf",287396,"English","# Perimeter, area and volume\n# Quadratic formula\n# Pythagoras’ Theorem and Trigonometry\n# Compound Interest\n# Probability","[{\"question\":\"What is the area of a trapezium formula provided?\",\"answer\":\"The area of a trapezium is given by 1/2 (a + b) h, where a and b are the lengths of the parallel sides and h is their perpendicular separation.\"},{\"question\":\"What is the formula for the circumference and area of a circle?\",\"answer\":\"The circumference of a circle is 2πr or πd, where r is the radius and d is the diameter. The area of a circle is πr².\"},{\"question\":\"What are the trigonometric ratios for a right-angled triangle?\",\"answer\":\"In a right-angled triangle ABC, sin A = a/c, cos A = b/c, and tan A = a/b, where a and b are the lengths of the sides and c is the hypotenuse.\"}]","GCSE Mathematics Higher Tier Formulae Sheet - For Exams in 2026 Only | PDF"]