[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207777-en":3,"doc-seo-207777-105":30,"detail-sidebar-cat-0-en-105":90},{"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},207777,962085564549,"Aditya","https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45",4,"Exam","Circle Theorems - Exam Style Questions","Exam style questions focused on circle theorems and angle relationships in diagrams. Learners use properties such as centre-to-circumference angles, angles subtended by chords, and tangent-circle angle facts to calculate unknown angles (e.g., ∠B, ∠ACB, ∠BAC, and x). Several problems require showing working clearly, often using given angles and identifying key configurations like diameters and kites to reach the final values.","|  |  |\n| --- | --- |\n| Name:\u003Cbr>|  |\n| Exam Style Questions\u003Cbr>Circle Theorems | |\n| Equipment needed: Calculator, pen\u003Cbr>|  |\n|  |  |\n\nGuidance  \n1. Read each question carefully before you begin answering it.  \n2. Check your answers seem right.  \n3. Always show your workings  \nVideo Tutorial  \n[www.corbettmaths.com/contents](www.corbettmaths.com/contents)  \nVideos 64, 65  \nAnswers and Video Solutions  \n© Corbettmaths 2023  \n1. (a) In the diagram below, O is the centre of the circle and A, B and C are points  \n on the circumference.  \nAngle A = 29°  \nWork out the size of angle B.  \n°  \n.........................  \n(1)  \n(b) A, B and C are three points on the circumference of another circle.  \nO is the centre of the circle.  \nAngle AOB = 112°  \nWork out the size of angle ACB.  \n°  \n.........................  \n(1)  \n© Corbettmaths 2023  \n2. A, B, C and D are points on the circumference on a circle.  \n(a) Find the size of angle DAB.  \n°  \n.........................  \n(1)  \n(b) Find the size of angle ABC.  \n°  \n.........................  \n(1)  \n© Corbettmaths 2023  \n3. A circle with centre O, has points A, B and C on the circumference.  \n Angle ABC = 20°  \nFind the size of angle BAC.  \n°  \n.........................  \n(1)  \n4. A, B, C and D are points on the circumference of a circle.  \nFind x, the size of angle ACD.  \n°  \n.........................  \n(1)  \n© Corbettmaths 2023  \n5. (a) In the diagram, O is the centre of the circle.  \nWrite down the value of w.  \n°  \n.........................  \n(1)  \n(b)  \nWrite down the value of x.  \n°  \n.........................  \n(1)  \n© Corbettmaths 2023  \n(c)  \nWrite down the value of y.  \n°  \n.........................  \n(1)  \n(d) In the diagram, O is the centre of the circle.  \nWrite down the value of z.  \n°  \n.........................  \n(1)  \n© Corbettmaths 2023  \n6. P, Q, R and S are four points on the circumference of a circle.  \nPR meets QS at A.  \nAngle PRS = 57° and Angle PAQ = 78°  \nWork out the value of angle y. Include your method.  \n°  \n.........................  \n(3)  \n7. The diagram shows points D, E, F and G on the circumference of a circle.  \nEG is a diameter. DEFG is a kite.  \nWork out the value of x.  \n°  \n.........................  \n(2)  \n© Corbettmaths 2023  \n8. A, B, C and D are points on the circumference of a circle with centre O.  \nWork out the size of angle BCD.  \nYou must show your workings.  \n°  \n.........................  \n(4)  \n9. AB is the diameter of a circle.  \nWork out the value of x.  \n°  \n.........................  \n(3)  \n© Corbettmaths 2023  \n10. The diagram shows a circle, centre O.  \n A, B and C are points on the circumference of the circle. Angle AOC is 140°  \nExplain why angle ABC is 110°  \n\n|  |\n| --- |\n|  |\n|  |\n\n(2)  \n© Corbettmaths 2023  \n11. Q and R are points on a circle, centre O.  \n PQ and PR are tangents to the circle.  \nWork out the size of angle POR.  \n°  \n.........................  \n(3)  \nDAE is a tangent to a circle.  \nWrite down the size of angle ABC.  \n°  \n.........................  \n(1)  \n© Corbettmaths 2023","cbCairSdVjUo5zYu","https://ap.wps.com/l/cbCairSdVjUo5zYu","pdf",2665554,1,26,"English","en",105,"# Guidance\n## Instructions\n## Video Tutorial\n# Exam Style Questions\n## Questions 1-11","[{\"question\":\"What should students do before starting each question?\",\"answer\":\"Read each question carefully before answering it.\"},{\"question\":\"Are students required to show their working?\",\"answer\":\"Yes, at least some questions explicitly require showing your workings.\"},{\"question\":\"What topics are tested in these circle theorems questions?\",\"answer\":\"Angle sizes in circle diagrams using properties of angles at the centre, on the circumference, and involving tangents.\"}]","Circle Theorems - Exam Style Questions | PDF",1788601108,66,{"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":85,"head_meta":87,"extra_data":89,"updated_unix":28},"circle-theorems-exam-style-questions","",{"@graph":36,"@context":84},[37,53,67],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"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":50},"https://docshare.wps.com/document/exam/",3,{"item":52,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/circle-theorems-exam-style-questions/207777/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":61,"encodingFormat":60,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":64,"interactionType":65,"userInteractionCount":4},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"What should students do before starting each question?","Question",{"text":74,"@type":75},"Read each question carefully before answering it.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"Are students required to show their working?",{"text":79,"@type":75},"Yes, at least some questions explicitly require showing your workings.",{"name":81,"@type":72,"acceptedAnswer":82},"What topics are tested in these circle theorems questions?",{"text":83,"@type":75},"Angle sizes in circle diagrams using properties of angles at the centre, on the circumference, and involving tangents.","https://schema.org",{"og:url":52,"og:type":86,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":88,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":91},[92,96,100,103,108,113,118,123,128,131,135],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":93,"show_sort_weight":94,"slug":95},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":97,"show_sort_weight":98,"slug":99},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":101,"slug":102},70,"exam",{"id":104,"doc_module":4,"doc_module_name":46,"category_name":105,"show_sort_weight":106,"slug":107},5,"Comic",60,"comic",{"id":109,"doc_module":4,"doc_module_name":46,"category_name":110,"show_sort_weight":111,"slug":112},6,"Technology",50,"technology",{"id":114,"doc_module":4,"doc_module_name":46,"category_name":115,"show_sort_weight":116,"slug":117},7,"Healthcare",40,"healthcare",{"id":119,"doc_module":4,"doc_module_name":46,"category_name":120,"show_sort_weight":121,"slug":122},8,"Research & Report",30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":104,"slug":138},19,"General","general"]