[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207678-en":3,"doc-seo-207678-105":30,"detail-sidebar-cat-0-en-105":89},{"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":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},207678,2336475104957,"นรินทร์","https://ap-avatar.wpscdn.com/avatar/22000c4c6bd8a5076e1?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787554080175789136",4,"Exam","GCSE Maths Formulas - Study sheet","A compact GCSE Mathematics formula reference covering core geometry, measurement, and basic algebra. Includes areas and perimeters for common shapes such as squares, rectangles, parallelograms, trapeziums, circles, and semicircles, plus volumes and surface areas for 3D solids including cubes, cuboids, cylinders, cones, spheres, hemispheres, frustums, prisms, and pyramids. Also provides trigonometry, Pythagoras’ theorem, sine and cosine rules, the quadratic formula, gradient-related relationships, midpoint and distance, and selected finance and physics formulas like simple/compound interest, speed, density, and pressure.","GCSE Maths Formulas  \n\n| Area of a Square | (Side) 2 |\n| --- | --- |\n| Perimeter of a Square | 4(Side) |\n| Area of a Rectangle | Length X Width |\n| Perimeter of a Rectangle | 2(Length + Width) |\n| Area of a Parallelogram | base × perpendicular height |\n| Area of a Triangle(Right angle triangle) |  |\n| Area of a Rhombus |  |\n| Area of a Trapezium | Area=~~ ~~, a=top, b=base, h= height |\n| Area of a Circle | , r=radius |\n| Circumference of a Circle | or , r = radius d=diameter |\n| Perimeter of a Semi Circle | +d, r = radius d=diameter |\n| Area of a Kite |  |\n| Volume of a Cube | (Side) 3 |\n| Surface Area of a Cube | 6(Side) 2 |\n| Volume of a Cuboid | Length × Width × Height |\n| Surface Area of a Cuboid | 2(lb+bh+lh) |\n| Volume of a Cylinder | 2 |\n\n[www.mathsdale.com](www.mathsdale.com)  \n| Curved Surface Area of a Cylinder | 2 |  |\n| --- | --- | --- |\n| Total Surface Area of a Cylinder | 2 +2 2 |  |\n| Volume of a Cone | ~~ ~~ 2 |  |\n| Curved Surface Area of a Cone | , | l= Slant height |\n| Total Surface Area of a Cone | 2 , l= Slant height |  |\n| Volume of a Sphere | ~~ ~~ 3 |  |\n| Total Surface Area of a Sphere | 4 2 |  |\n| Volume of a Hemisphere | ~~ ~~ 3 |  |\n| Curved Surface Area of a Hemisphere | 2 2 |  |\n| Total Surface Area of a Hemisphere | 3 2 |  |\n| Volume of a Frustum | ~~ ~~ (R2+Rr+ 2 ) |  |\n| Volume of any Prism | Area of cross-section × Length |  |\n| Volume of Pyramid with any Base | ~~ ~~ Area of cross-section(base) × Height |  |\n| Pythagoras Theorem | c2 =a2 +b2 |  |\n| Trigonometric Values | Sin =~~ ~~\u003Cbr>Cos =~~ ~~\u003Cbr>Tan =~~ ~~ |  |\n| Area of a Triangle(Non right angle triangle) | |  |\n| Sine rule | ~~ ~~ = ~~ ~~ = ~~ ~~ |  |\n\n[www.mathsdale.com](www.mathsdale.com)  \n| Cosine rule | a2 = b2 + c2 – 2bcCosA |\n| --- | --- |\n| Area of a Sector |  |\n| Arc Length |  |\n| Quadratic Formula | √ |\n| Gradient of a Line |  |\n| Perpendicular Gradient | m=- ~~ ~~ |\n| Midpoint of two points | (~~ ~~, ~~ ~~ |\n| Distance between two points | √ |\n| Simple Interest | S.I= ~~ ~~ , P=Principal value n=Time\u003Cbr>r=Interest rate |\n| Compound Interest | C.I=P ~~ ~~ , P=Principal value n=Time\u003Cbr>r=Interest rate |\n| Speed | Speed=~~ ~~ |\n| Density | Density=~~ ~~ |\n| Pressure | Pressure=~~ ~~ |\n\n[www.mathsdale.com](www.mathsdale.com)","cbCaiipGWjqgBzqR","https://ap.wps.com/l/cbCaiipGWjqgBzqR","pdf",572953,1,3,"English","en",105,"# Geometry formulas\n## Areas and perimeters\n## Circle geometry and arcs\n## 3D volumes and surface areas\n# Algebra and trigonometry\n## Pythagoras, sine rule, cosine rule\n## Trig values and quadratic formula\n## Gradients, midpoint and distance\n# Other formulas\n## Interest, speed, density, pressure","[{\"question\":\"What geometry formulas are included for 2D shapes?\",\"answer\":\"The sheet lists area and perimeter formulas for a square, rectangle, parallelogram, triangle (right and non-right), rhombus, trapezium, kite, sector/arc-related quantities, and circle/semicircle relationships.\"},{\"question\":\"What 3D solid formulas are provided?\",\"answer\":\"It includes volume and surface area formulas for a cube, cuboid, cylinder, cone, sphere, hemisphere, frustum, prism, and pyramid with any base.\"},{\"question\":\"Which non-geometry formulas are included for algebra and applications?\",\"answer\":\"Pythagoras’ theorem, sine and cosine rules, quadratic formula, gradient/perpendicular gradient, midpoint and distance, plus simple and compound interest, speed, density, and pressure are covered.\"}]","GCSE Maths Formulas - Study sheet | PDF",1788600443,8,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":84,"head_meta":86,"extra_data":88,"updated_unix":28},"gcse-maths-formulas-study-sheet","",{"@graph":36,"@context":83},[37,52,66],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,50],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":21},"https://docshare.wps.com/document/exam/",{"item":51,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/gcse-maths-formulas-study-sheet/207678/",{"url":51,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"inLanguage":23,"description":14,"dateModified":60,"datePublished":60,"encodingFormat":59,"isAccessibleForFree":61,"interactionStatistic":62},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":41,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":63,"interactionType":64,"userInteractionCount":4},"InteractionCounter",{"@type":65},"ViewAction",{"@type":67,"mainEntity":68},"FAQPage",[69,75,79],{"name":70,"@type":71,"acceptedAnswer":72},"What geometry formulas are included for 2D shapes?","Question",{"text":73,"@type":74},"The sheet lists area and perimeter formulas for a square, rectangle, parallelogram, triangle (right and non-right), rhombus, trapezium, kite, sector/arc-related quantities, and circle/semicircle relationships.","Answer",{"name":76,"@type":71,"acceptedAnswer":77},"What 3D solid formulas are provided?",{"text":78,"@type":74},"It includes volume and surface area formulas for a cube, cuboid, cylinder, cone, sphere, hemisphere, frustum, prism, and pyramid with any base.",{"name":80,"@type":71,"acceptedAnswer":81},"Which non-geometry formulas are included for algebra and applications?",{"text":82,"@type":74},"Pythagoras’ theorem, sine and cosine rules, quadratic formula, gradient/perpendicular gradient, midpoint and distance, plus simple and compound interest, speed, density, and pressure are covered.","https://schema.org",{"og:url":51,"og:type":85,"og:title":13,"og:site_name":57,"og:description":14},"article",{"robots":87,"canonical":51},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":90},[91,95,99,102,107,112,117,121,126,129,133],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":92,"show_sort_weight":93,"slug":94},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":96,"show_sort_weight":97,"slug":98},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":100,"slug":101},70,"exam",{"id":103,"doc_module":4,"doc_module_name":46,"category_name":104,"show_sort_weight":105,"slug":106},5,"Comic",60,"comic",{"id":108,"doc_module":4,"doc_module_name":46,"category_name":109,"show_sort_weight":110,"slug":111},6,"Technology",50,"technology",{"id":113,"doc_module":4,"doc_module_name":46,"category_name":114,"show_sort_weight":115,"slug":116},7,"Healthcare",40,"healthcare",{"id":29,"doc_module":4,"doc_module_name":46,"category_name":118,"show_sort_weight":119,"slug":120},"Research & Report",30,"research-report",{"id":122,"doc_module":4,"doc_module_name":46,"category_name":123,"show_sort_weight":124,"slug":125},9,"Religion & Spirituality",20,"religion-spirituality",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":127,"show_sort_weight":124,"slug":128},"World Cup","world-cup",{"id":130,"doc_module":4,"doc_module_name":46,"category_name":131,"show_sort_weight":130,"slug":132},10,"Lifestyle","lifestyle",{"id":134,"doc_module":4,"doc_module_name":46,"category_name":135,"show_sort_weight":103,"slug":136},19,"General","general"]