[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207760-en":3,"doc-seo-207760-105":29,"detail-sidebar-cat-0-en-105":88},{"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":20,"language":21,"language_code":22,"site_id":23,"html_lang":22,"table_of_contents":24,"faqs":25,"seo_title":26,"seo_description":14,"update_tm":27,"read_time":28},207760,687207024643,"Rhys","https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2",4,"Exam","GCSE/iGCSE Maths Formulae Sheet","Concise GCSE/iGCSE maths formula sheet covering core exam topics across 2D and 3D geometry, including areas, circumferences, volumes and surface areas for key shapes. It includes circle-related relationships and sector guidance, then extends to solids such as cuboids, cylinders, cones, spheres, prisms and pyramids. The sheet also summarizes indices and fractional/percentage methods, interest calculations, quadratic techniques, proportionality, congruence rules, statistics tools, and essential geometry formulas for straight lines, coordinates, gradients, distance and equation-solving steps.","[www. mymathscloud.com](www. mymathscloud.com) © MyMathsCloud  \nGCSE/iGCSE Maths Formulae Sheet  \n\n| 2D Shapes |  |\n| --- | --- |\n| Area of Triangle | |\n| Area of Parallelogram | base x height |\n| Area of Rectangle | 􀀡 × 􀀣 |\n| Area of Trapezoid | |\n| Circumference & Area: Circle | 􀀥 = 2􀀨􀀩, 􀀫 = 􀀨􀀩\" |\n| Length of an arc | |\n| Area of a Sector | \\#\u003Cbr>$%&\u003Cbr>× 􀀨􀀩\" |\n| 3D Shapes |  |\n| Cuboid Surface area |  􀀳􀀴 = 2􀀣􀀥 + 2􀀣􀀷 + 2􀀥􀀷   where x, y , z are side lengths  |\n| Cuboid Volume | 􀀸 = 􀀣􀀥􀀷\u003Cbr>where x, y , z are side lengths |\n| Cylinder Surface Area | 􀀳􀀴 = 2􀀹􀀺ℎ + 2􀀹􀀺\\# Note: Curved part: 2πrh |\n| Cylinder Volume | 􀀸 = 􀀹􀀺\\#ℎ |\n| Cone Surface Area | 􀀳􀀴 = 􀀹􀀺􀀿 + 􀀹􀀺\\#\u003Cbr>Note: Curved part: 􀀹􀀺􀀿 , 􀀿 is slant length |\n| Cone Volume | 􀀸 = 13 􀀹􀀺\\#ℎ |\n| Sphere Surface Area | 􀀳􀀴 = 4􀀹􀀺\\# Note: Hemisphere 3􀀹􀀺\\# |\n| Sphere Volume | 4\u003Cbr>$\u003Cbr>􀁃 = ~~ ~~ 􀀹􀀺 3\u003Cbr>Note: Hemisphere=\u003Cbr>\\# $$ 􀀹􀀺 |\n| Prism Volume | 􀀸 =Area of cross section x height |\n| Pyramid Volume | 􀀸 = $! × 􀀪􀀩􀁅􀁆 􀀩􀀺􀁆􀀩 × ℎ |\n| Indices |  |\n| Multiplication | 􀀪 & × 􀀪- = 􀀪 &6-(􀀪 &)- = 􀀪&-(􀀥􀀪 &􀁕-)' = 􀀥'􀀪&'􀁕-' |\n| Division | 􀀪 & ÷ 􀀪- =\u003Cbr>􀀪 &\u003Cbr>\u003Cbr>-􀀪\u003Cbr>= 􀀪 &4- |\n| Negative Powers | 􀀪4+ = 􀀪1+ |\n| Fractions | =%;>4+ = %;\\#\\# and =%;>+ = %;\\#\\# |\n| Fractional Powers | |\n| Percentages |  |\n| One amount as a % of the other amount\u003Cbr>(wants answer as a %) | 􀀡 as a percentage of 􀀢\u003Cbr>􀀡\u003Cbr>\u003Cbr>􀀢\u003Cbr>× 100\u003Cbr>Look for the words as a percent of |\n| Percentage gain/loss (wants answer as a %) | ?2@@A9A3BC92D237EA × 100\u003Cbr>Look for the words percentage gain/loss/increase/decrease |\n| Find percentage of an amount | |\n| Given % of an amount, find the full amount | |\n| Increasing/decreasing by a % | |\n| Given % of an amount after amount has been added or subtracted, find the full amount | |\n| |  |\n| Simple Interest\u003Cbr>(interest on initial amount) | |\n| Compound Interest (interest added also earns interest) | FV = PV=1 + 5NKK~~ ~~>O\u003Cbr>FV=future value, PV=present value 􀀰=time, 􀁜 = interest rate |\n| Quadratics |  |\n| Quadratic Function: Solutions to 􀁝􀁞􀁐 + 􀁟􀁞 + 􀁠 = 􀁄 | 􀀪 = ~~4~~-±√!-!~~4~~R&/, 􀀡 ≠ 0 |\n| Completing The Square\u003Cbr>􀁝􀁞􀁐 ± 􀁟􀁞 + 􀁠 = 􀁄 | 􀀡 =􀀪 ± !-&>! + 􀀥 − R-&! |\n| Max/Min Value | 􀀥 − R-&! |\n| Compound Measures |  |\n| Speed | speed=\u003Cbr>()*+,-./+)1/ |\n| Density | density= 21,**3451/ |\n| Pressure | pressure=\u003Cbr>637./,7/, |\n| \u003Cbr>cross off what you want and do the resulting operation (multiplication or division) |  |\n| Congruent Shapes |  |\n| SSS (side side side) | Three sides of each triangle equal |\n| SAS (side angle side) | Two sides and included angle equal |\n| AAS (angle angle side) | Two angles and corresponding side equal |\n| RHS (right hypotenuse leg) | Contains right angle and hypotenuse and another side equal |\n| Direct/Indirect Proportion 􀁕 is … proportional to 􀀪 |  |\n| Directly: 􀁕 = 􀁢􀀪 , Inversely: 􀁕 = S; |  |\n\n\n| Statistics |  |\n| --- | --- |\n| Frequency Density | |\n| Pie chart | Angle= .,+/\u003C379 67/85/-.9 × 360\u003Cbr>+3+,4 |\n| Cumulative frequency | This is a running total of the frequencies |\n| Box Plot | |\n| Fractions/Decimals/Percentages |  |\n| Simplifying Fractions | Step 1: Find a factor of both numbers i.e. a number that fits in both  the numerator AND denominator \u003Cbr>Step 2: Say how many times for each \u003Cbr>Step 3: Check whether you can do steps 1 and 2 again.  |\n| Fraction Of Amount | !\" of amount\u003Cbr>Step 1: Divide amount by b  Step 2: Multiply answer found by 􀁔  |\n| Improper to Mixed | Step 1: Divide the numerator by the denominator \u003Cbr>Step 2: Write down the whole number answer to step 1 \u003Cbr>Step 3: Put the remainder in the numerator. The new denominator  remains the same as that of the original improper fraction.  |\n| Mixed to Improper | Step 1: Multiply the whole number by the fraction’s denominator  Step 2: Add the numerator to step 1 and this is the new numerator  Step 3: write the result the top of the original denominator  |\n| + 􀁊􀁋􀁌 − Fractions | Need a common denominator (the smallest number that that both the numerator and denominator fit into) |\n| × Fractions | Don’t nee","cbCaihDNRKSpZ0KI","https://ap.wps.com/l/cbCaihDNRKSpZ0KI","pdf",707748,1,"English","en",105,"# 2D Shapes\n## Area, Circumference & Circle\n## Arc and Sector\n# 3D Shapes\n## Cuboid, Cylinder, Cone, Sphere\n## Prism and Pyramid\n# Indices, Multiplication & Division\n# Percentages & Proportional Change\n## Simple and Compound Interest\n# Quadratics\n## Quadratic Function, Completing the Square, Max/Min\n# Compound Measures\n## Speed, Density, Pressure\n# Congruent Shapes\n## SSS, SAS, AAS, RHS\n## Direct and Indirect Proportion\n# Statistics\n## Pie Chart, Cumulative Frequency, Box Plot\n# Fractions, Decimals & Percentages\n## Conversions and Simplifying\n# Geometry\n## Straight Line Equation, Gradient, Midpoint, Distance, Line Equations","[{\"question\":\"What geometry formulae are included for 2D shapes?\",\"answer\":\"The sheet lists area formulae for triangles, parallelograms, rectangles, and trapezoids, plus circle relationships including circumference and area. It also includes arc-related and sector area guidance for GCSE/iGCSE level questions.\"},{\"question\":\"Which 3D solid surface area and volume formulas are provided?\",\"answer\":\"It covers cuboid surface area and volume, cylinder surface area and volume, cone surface area and volume, and sphere surface area and volume. It also includes prism and pyramid volume formulas.\"},{\"question\":\"How does the sheet support common exam calculations like percentages and quadratics?\",\"answer\":\"It provides structured percentage calculations, including finding a proportion as a percentage and percentage gain/loss methods, plus simple and compound interest relationships. For quadratics, it includes the quadratic function solution, completing the square steps, and guidance for finding maximum/minimum values.\"}]","GCSE/iGCSE Maths Formulae Sheet | PDF",1788601072,3,{"code":4,"msg":30,"data":31},"ok",{"site_id":23,"language":22,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":83,"head_meta":85,"extra_data":87,"updated_unix":27},"gcseigcse-maths-formulae-sheet","",{"@graph":35,"@context":82},[36,51,65],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,47,49],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":46},"https://docshare.wps.com/document/","Document",2,{"item":48,"name":12,"@type":42,"position":28},"https://docshare.wps.com/document/exam/",{"item":50,"name":13,"@type":42,"position":11},"https://docshare.wps.com/document/gcseigcse-maths-formulae-sheet/207760/",{"url":50,"name":13,"@type":52,"author":53,"headline":13,"publisher":55,"fileFormat":58,"inLanguage":22,"description":14,"dateModified":59,"datePublished":59,"encodingFormat":58,"isAccessibleForFree":60,"interactionStatistic":61},"DigitalDocument",{"name":9,"@type":54},"Person",{"url":40,"name":56,"@type":57},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":62,"interactionType":63,"userInteractionCount":4},"InteractionCounter",{"@type":64},"ViewAction",{"@type":66,"mainEntity":67},"FAQPage",[68,74,78],{"name":69,"@type":70,"acceptedAnswer":71},"What geometry formulae are included for 2D shapes?","Question",{"text":72,"@type":73},"The sheet lists area formulae for triangles, parallelograms, rectangles, and trapezoids, plus circle relationships including circumference and area. It also includes arc-related and sector area guidance for GCSE/iGCSE level questions.","Answer",{"name":75,"@type":70,"acceptedAnswer":76},"Which 3D solid surface area and volume formulas are provided?",{"text":77,"@type":73},"It covers cuboid surface area and volume, cylinder surface area and volume, cone surface area and volume, and sphere surface area and volume. It also includes prism and pyramid volume formulas.",{"name":79,"@type":70,"acceptedAnswer":80},"How does the sheet support common exam calculations like percentages and quadratics?",{"text":81,"@type":73},"It provides structured percentage calculations, including finding a proportion as a percentage and percentage gain/loss methods, plus simple and compound interest relationships. For quadratics, it includes the quadratic function solution, completing the square steps, and guidance for finding maximum/minimum values.","https://schema.org",{"og:url":50,"og:type":84,"og:title":13,"og:site_name":56,"og:description":14},"article",{"robots":86,"canonical":50},"index,follow",{"doc_id":7,"site_id":23},{"code":4,"msg":5,"data":89},[90,94,98,101,106,111,116,121,126,129,133],{"id":20,"doc_module":4,"doc_module_name":45,"category_name":91,"show_sort_weight":92,"slug":93},"Story & Novel",90,"story-novel",{"id":46,"doc_module":4,"doc_module_name":45,"category_name":95,"show_sort_weight":96,"slug":97},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":45,"category_name":12,"show_sort_weight":99,"slug":100},70,"exam",{"id":102,"doc_module":4,"doc_module_name":45,"category_name":103,"show_sort_weight":104,"slug":105},5,"Comic",60,"comic",{"id":107,"doc_module":4,"doc_module_name":45,"category_name":108,"show_sort_weight":109,"slug":110},6,"Technology",50,"technology",{"id":112,"doc_module":4,"doc_module_name":45,"category_name":113,"show_sort_weight":114,"slug":115},7,"Healthcare",40,"healthcare",{"id":117,"doc_module":4,"doc_module_name":45,"category_name":118,"show_sort_weight":119,"slug":120},8,"Research & Report",30,"research-report",{"id":122,"doc_module":4,"doc_module_name":45,"category_name":123,"show_sort_weight":124,"slug":125},9,"Religion & Spirituality",20,"religion-spirituality",{"id":124,"doc_module":4,"doc_module_name":45,"category_name":127,"show_sort_weight":124,"slug":128},"World Cup","world-cup",{"id":130,"doc_module":4,"doc_module_name":45,"category_name":131,"show_sort_weight":130,"slug":132},10,"Lifestyle","lifestyle",{"id":134,"doc_module":4,"doc_module_name":45,"category_name":135,"show_sort_weight":102,"slug":136},19,"General","general"]