[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207773-en":3,"doc-seo-207773-105":30,"detail-sidebar-cat-0-en-105":91},{"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":20,"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},207773,2336475104736,"วิน","https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222",4,"Exam","Circle Theorems and Circle Geometry (H) - topic test","Topic test for Edexcel GCSE Maths on circle theorems and circle geometry, structured as nine questions with a total of 45 marks to be completed in 50 minutes. Exercises cover tangent properties, angles formed by tangents and chords, diameter-related angle calculations, and circle theorem proofs. The set includes multiple-step reasoning requirements and a construction/estimation task involving the circle x^2 + y^2 = 16 and simultaneous equations with a line.","Name:    \nHigher Unit 16 topic test  \nDate:  \nTime: 50 minutes  \nTotal marks available: 45  \nTotal marks achieved:    \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQuestions  \nQ1 .  \nB and C are points on the circumference of a circle, centre O.  \nAB and AC are tangents to the circle.  \nAngle BAC = 40° .  \nFind the size of angle BCO.  \n°  \n(Total for Question is 3 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ2 .  \n*  \nDiagram NOT accurately drawn B, C and D are points on the circumference of a circle, centre O.  \nAB and AD are tangents to the circle.  \nAngle DAB = 50°  \nWork out the size of angle BCD.  \nGive a reason for each stage in your working.  \n(Total for Question is 4 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ3 .  \nA, B and D are points on the circumference of a circle, centre O. BOD is a diameter of the circle.  \nBC and AC are tangents to the circle.  \nAngle OCB = 34° .  \nWork out the size of angle DOA.  \n(Total for Question is 3 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ4 .  \nB, C and D are points on the circumference of a circle, centre O.  \nABE and ADF are tangents to the circle.  \nAngle DAB = 40°  \nAngle CBE = 75°  \nWork out the size of angle ODC.  \n°  \n(Total for Question is 3 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ5 .  \nA, B, C and D are points on the circumference of a circle, centre O.  \nAC is a diameter of the circle.  \nAC and BD intersect at E.  \nAngle CAB = 25°  \nAngle DEC = 100°  \nWork out the size of angle DAC.  \nYou must show all your working.  \n°  \n.......................... .................................  \n(Total for question = 4 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ6 .  \nA and B are points on the circumference of a circle, centre O.  \nAT is a tangent to the circle.  \nAngle TAB = 58° .  \nAngle BTA = 41° .  \nCalculate the size of angle OBT.  \nYou must give reasons at each stage of your working.  \n(Total for Question is 5 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ7 .  \n*  \nM and N are two points on the circumference of a circle centre O.  \nThe straight line AMB is the tangent to the circle at M.  \nAngle MON = y  \nProve that angle BMN = ½ y  \n(Total for Question is 5 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ8 .  \n*  \nDiagram NOT accurately  \ndrawn  \nA, B and C are points on the circumference of the circle, centre O.  \nTA and TB are tangents to the circle.  \nCA = CB.  \nAngle ATB = 2x° .  \nProve that angle ACB = (90 – x)° .  \n(Total for Question is 5 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)  \nQ9 .  \n(a) On the grid, construct the graph of x2 + y2 = 16  \n(2)  \n(b) Find estimates for the solutions of the simultaneous equations  \nx2 + y2 = 16  \ny = 2x + 1  \n(3)  \n(Total for question = 5 marks)  \nEdexcel GCSE Maths-Circle Theorems and Circle Geometry (H) [PhysicsAndMathsTutor.com](PhysicsAndMathsTutor.com)","cbCaiedZpOueSVPp","https://ap.wps.com/l/cbCaiedZpOueSVPp","pdf",2887466,1,22,"English","en",105,"# Higher Unit 16 topic test\n## Questions","[{\"question\":\"What mathematical topics are assessed in this test?\",\"answer\":\"The test assesses circle theorems and circle geometry, including properties of tangents, chords, diameters, and the angles they form at the circle.\"},{\"question\":\"Is diagram accuracy important for the questions?\",\"answer\":\"Several questions explicitly note that the diagram is not accurately drawn, so answers must rely on theorem-based reasoning rather than diagram measurement.\"},{\"question\":\"What question types are included besides angle calculations?\",\"answer\":\"Besides angle calculations, the test includes a graph construction and estimation task for solving simultaneous equations involving x^2 + y^2 = 16.\"}]","Circle Theorems and Circle Geometry (H) - 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