[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-267001-105":59,"doc-detail-267001-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","extended-mathematics-trigonometry-paper-2-questions","Extended Mathematics - Trigonometry - Paper 2 Questions","","A collection of IGCSE Extended Mathematics Paper 2 questions focused on trigonometry and related geometry. Tasks cover calculating unknown sides, angles, lengths, and areas in triangles, including right-angled and isosceles configurations, as well as applications of the sine rule. Problems also extend to composite 3D shapes (cuboid angles, prism cross-sections), and sector-based geometry for perimeter, area, volume, and total surface area, with answers typically required to specified accuracy.",{"@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/extended-mathematics-trigonometry-paper-2-questions/267001/",{"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/extended-mathematics-trigonometry-paper-2-questions/267001.png","ImageObject",300,407,{"name":92,"@type":93},"Kurz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What types of trigonometry questions are included in this paper?","Question",{"text":113,"@type":114},"The paper includes problems that require finding missing sides and angles in triangles, using trigonometric relationships, and calculating areas. It also includes applications beyond triangles, such as angles involving 3D solids and sector-based circle geometry.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are there questions that use the sine rule?",{"text":118,"@type":114},"Yes. One question explicitly states using the sine rule to calculate a length (BC).",{"name":120,"@type":111,"acceptedAnswer":121},"Do the questions include sector and circular region calculations?",{"text":122,"@type":114},"Yes. Multiple questions involve sectors of circles, requiring calculations of area, perimeter, volume (sand pit depth), and total surface area for a wooden prism.","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},267001,1789413915,{"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":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},2336478945635,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","# Extended MathematicsTopic:TrigonometryYear:May 2013-May 2024Paper-2Questions\n\n## Question 1\n\nNOT TO  \nSCALE  \nTriangle ABC has a height of 8cm and an area of 42cm².  \nCalculate the length of BC.  \nAnswer BC=…………………………………cm [2]  \n## Question 2\n\nC6cm  \nNOT TOSCALEAE12cmB  \nThe diagram shows a triangular prism of length 12cm.Triangle ABC is a cross section of the prism.Angle BAC=90°,AC=6cm and AB=5cm.  \nQuestion 3  \nNOT TO  \nSCALE  \nCalculate the length h.  \nGive your answer correct to 2 significant figures.  \nAnswer h=……………………………………m [3]  \n## Question 4\n\nNOT TO  \nSCALE  \nIn triangle ABC,AB=6cm,BC=4cm and angle BCA=65°.Calculate  \n(a)angle CAB,  \nAnswer(a)Angle CAB=……………………………………….[3]  \n(b)the area of triangle ABC.  \nAnswer(b)…………………………………cm²[3]  \nQuestion 5  \nNOT TO  \nSCALE  \nB  \nA  \nABCD is a kite.  \nThe diagonals AC and BD intersect at X.AC=12cm,BD=20cm and DX:XB=3:2.  \n(a)Calculate angle ABC.  \nAnswer(a)Angle ABC=………………………………………[3]  \n(b)Calculate the area of the kite.  \nAnswer(b)…………………………………cm²[2]  \n## Question 6\n\nGE  \nCA4cmB  \nABCDEFGH is a cuboid.AB=4cm,BC=3cm and AG=12cm.  \nCalculate the angle that AG makes with the base ABCD.  \nNOT TO  \nSCALE  \nAnswer……………………………………………[4]  \n## Question 7\n\nNOT TO  \nSCALE  \nCalculate PR.  \nAnswer PR= …………………………………………………cm[3]  \n## Question 8\n\nNOT TO  \nSCALE  \nC  \nThe diagram shows a pyramid on a square base ABCD with diagonals, AC and BD, of length 8cm.  \nAC and BD meet at Mand the vertex,P,of the pyramid is vertically above M.  \nThe sloping edges of the pyramid are of length 6cm.  \nCalculate  \n(a) the perpendicular height,PM, of the pyramid,  \nAnswer(a)PM=…………………………………………………cm[3]  \n(b) the angle between a sloping edge and the base of the pyramid.  \nAnswer(b)…………………………………………………[3]  \nQuestion 9  \nNOT TO  \nSCALE  \nCalculate the length of AB.  \nAnswer AB=…………………………………cm [2]  \n## Question 10\n\nNOT TO  \nSCALE  \nThe diagram shows a rectangle ABCE.D lies on EC.DAB is a sector ofa circle radius 8cm and sector angle 30°.  \nCalculate the area of the shaded region.  \nAnswer…………………………………cm²[7]  \n## Question 11\n\nA triangle has sides of length 2cm,8cm and 9cm.Calculate the value of the largest angle in this triangle.  \nAnswer …………………………………………[4]  \nQuestion 12  \nNOT TO  \nSCALE  \n2.25m  \nThe diagram shows a sand pit in a child's play area.The shape of the sand pit is a sector of a circle of radius 2.25m and sector angle 56°.  \n(a)Calculate the area of the sand pit.  \nAnswer(a)………………………………………m²[2]  \n(b)The sand pit is filled with sand to a depth of 0.3m.Calculate the volume of sand in the sand pit.  \nAnswer(b)……………………………………………m³[1]  \n## Question 13\n\nNOT TO  \nSCALE  \nC  \nTriangle ABC is isosceles with AB=AC.Angle BAC=110°and the area of the triangle is 85cm².  \nCalculate AC.  \nAnswer AC=………………………………………….cm [3]  \nQuestion 14  \nNOT TO  \nSCALE  \nA  \n18m  \nThe diagram shows a rectangular playground ABCD on horizontal ground.A vertical flagpole CF,6 metres high,stands in corner C.AB=18m and BC=15m.  \nCalculate the angle of elevation of F from A.  \nAnswer ………  ………………[4]  \n## Question 15\n\nNOT TO  \nSCALE  \nQ  \n10cm  \nThe area of triangle PQR is 38.5cm².  \nCalculate the length QR.  \nAnswer QR=………………  ……………cm [6]  \nQuestion 16  \nNOT TO  \nSCALE  \nUse the sine rule to calculate BC.  \nAnswer BC=……………………………………cm [3]  \n## Question 17\n\n2cm  \nCalculate the value of x.  \nAnswer x=……………………  …  ………[2]  \n## Question 18\n\nNOT TO  \nSCALE  \nOAB is the sector of a circle,centre O,with radius 8cm and sector angle 30°.BC is perpendicular to OA.  \nCalculate the area of the region shaded on the diagram.  \nQuestion 19  \n2cm  \nCalculate the value of x.  \n## Question 20\n\nThe diagram shows a sector of a circle with radius 15cm.Calculate the perimeter of this sector.  \n## Question 21\n\n12.4cm  \nCalculate the value of y.  \nNOT TO  \nSCALE  \nAnswer x=…………………………………………[2]  \nNOT TO  \nSCALE  \nAnswer.……    …………………cm [3]  \nNOT TOSCALE  \nQuestion 22  \n5cm  \nNOT TO  \nSCALE  \nThe diagram shows a wooden prism of height 5cm.  \nThe cross section of the prism","cbCaidPQOereV2EX","https://ap.wps.com/l/cbCaidPQOereV2EX","pdf",5180440,57,"English","# Trigonometry - Paper 2 Questions\n## Triangle geometry and angle/area problems\n## 3D shapes: cuboids, prisms and pyramids\n## Sector and circular region problems","[{\"question\":\"What types of trigonometry questions are included in this paper?\",\"answer\":\"The paper includes problems that require finding missing sides and angles in triangles, using trigonometric relationships, and calculating areas. It also includes applications beyond triangles, such as angles involving 3D solids and sector-based circle geometry.\"},{\"question\":\"Are there questions that use the sine rule?\",\"answer\":\"Yes. One question explicitly states using the sine rule to calculate a length (BC).\"},{\"question\":\"Do the questions include sector and circular region calculations?\",\"answer\":\"Yes. Multiple questions involve sectors of circles, requiring calculations of area, perimeter, volume (sand pit depth), and total surface area for a wooden prism.\"}]","Extended Mathematics - Trigonometry - Paper 2 Questions | PDF",144]