[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-621402-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-621402-en":130},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","mathematics-gcse-foundation-tier-formulae-sheet-2027","Mathematics GCSE Foundation Tier - Formulae Sheet - 2027","","This document serves as an essential, official formulae reference sheet for the AQA GCSE Mathematics Foundation Tier examination series for the year 2027. It provides a comprehensive collection of mathematical formulas necessary for solving problems related to perimeter, area, volume, Pythagoras' theorem, trigonometry, compound interest, and probability. Each formula is clearly presented with its corresponding variables defined, ensuring students can apply them accurately within an exam setting. The document acts as a critical support tool for candidates, condensing complex mathematical relationships into a single, accessible reference for rapid consultation during testing sessions. Its structured format allows students to quickly identify the relevant geometric and algebraic expressions required for diverse assessment tasks, promoting clarity and precision throughout the examination process. This resource is strictly restricted to exams conducted in 2027 and adheres to official AQA academic standards for foundation level 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c².","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},621402,1792701742,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & 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\nFormulae Sheet  \nInsert  \nIB/M/Insert to GCSE Mathematics Foundation 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: Area of a trapezium = 12 (a + b) h  \nVolume of a prism = area of cross section × length  \nWhere r is the radius and d is the diameter:  \nCircumference of a circle = 2πr = πd  \nArea of a circle = πr2  \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  \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)  \nCopyright © 2027 AQA and its licensors. All rights reserved.  \nIB/M/Insert to GCSE Mathematics Foundation Tier  \nFOR EXAMS IN 2027 ONLY","cbCaiuHByfo1OtDu","https://ap.wps.com/l/cbCaiuHByfo1OtDu","pdf",275956,"English","# Perimeter, Area, and Volume\n## Geometric Formulae\n# Pythagoras' Theorem and Trigonometry\n## Right-angled Triangle Relations\n# Compound Interest\n## Accrued Value Calculations\n# Probability\n## Combined Outcome Probabilities","[{\"question\":\"What formula should be used for the area of a trapezium?\",\"answer\":\"The area of a trapezium is calculated as 1/2(a + b)h, where a and b represent the lengths of the parallel sides and h is their perpendicular separation.\"},{\"question\":\"How is the circumference of a circle determined?\",\"answer\":\"The circumference of a circle is calculated using either 2πr or πd, where r is the radius and d is the diameter of the circle.\"},{\"question\":\"Which mathematical theorem applies to right-angled triangles to relate all three sides?\",\"answer\":\"Pythagoras' Theorem applies, which states that for a right-angled triangle with sides a and b and hypotenuse c, the relationship is a² + b² = c².\"}]","Mathematics GCSE Foundation Tier - Formulae Sheet - 2027 | PDF",1792465488]