[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207780-en":3,"doc-seo-207780-105":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},207780,962085564381,"Bintang","https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8",4,"Exam","Edexcel GCSE Mathematics A - Solutions - Circle Theorems Higher Tier - Past Paper Style Questions Arranged by Topic","A set of Edexcel GCSE Mathematics A solutions focused on circle theorems at Higher Tier. The material provides past-paper style questions arranged by topic, together with marking guidance and strict exam-style instructions (no calculators, required instruments, and show-your-working expectations). Problems cover angles involving tangents and chords, cyclic quadrilaterals, inscribed angles, diameter-related angle facts, and reasoning using alternate segment and alternate assessment theorems, with total marks stated for the paper.","Write your name here  \n\n| Surname   | Other names   |\n| --- | --- |\n\nCentre Number  \nCandidate Number  \nIn the style of:  \n\n|  |  |  |  |  |\n| --- | --- | --- | --- | --- |\n\n# Edexcel GCSE\n\n\n| Mathematics A  \u003Cbr>Solutions  \u003Cbr>Circle Theorems  \u003Cbr>Higher Tier   |  |\n| --- | --- |\n| Past Paper Style Questions  \u003Cbr>Arranged by Topic   | Paper Reference  \u003Cbr>1MA0/1H   |\n\nTotal Marks  \nYou must have:Ruler graduated in centimetres and millimetres,protractor,pair of compasses,pen,HB pencil,eraser.Tracingpaper may be used.               \n# Instructions\n\n● Use black ink or ball-point pen.  \n●Fill in the boxes at the top of this page with your name,centre number and candidate number.  \n● Answer all questions.  \n● Answer the questions in the spaces provided-there may be more space than you need.  \n● Calculators must not be used.  \n# Information\n\n● The total mark for this paper is 100  \n● The marks for each question are shown in brackets-use this as a guide as to how much time to spend on each question.  \n● Questions labelled with an asterisk(*)are ones where the quality of yourwritten communication will be assessed.  \n# Advice\n\n● Read each question carefully before you start to answer it.  \n● Keep an eye on the time.  \n● Try to answer every question.  \n● Check your answers if you have time at the end.  \nTurn over▶  \nLots more free papers at www.bland.in  \nABCD is a cyclic quadrilateral within a circle centre O.1.XY is the tangent to the circle at A.Angle XAB=58°Angle BAD=78°Angle DBC=34°  \nDiagram NOT  \naccurately drawn  \nY  \nA  \nProve that AB is parallel to CD.  \n∠ A)G=58°(alternate sSesment theorem>  ∠ABD=180-(78+58)=44°(∠ sum of△)  \n∠ACD=180-78=102°CopPoste ∠sof cyliuedaddv to8  \n二B=18-(34102)=m  \nparallel becauke>(1 anJ AS areBAB日=nalternanss  \n(5)  \nA* Questr1on  \n2.(a)   Here is a circle with centre O.  \nDiagram NOT  \naccurately drawn  \nWrite down the value of x.  \n(Anyle sub+ende2at centreis  tmice  ansk  sstenn aruomfcn(1)  \n(b)Here is a different circle.  \nDiagram NOT  \naccurately drawn  \nWrite down the value of y.  \n ninme segmntarl28…degrees  \n(1)  \nGrad( Qvestion  \nLots more free papers at www.bland.in  \nDiagram NOT  \naccurately drawn  \nW  \nU,V and W are points on the circumference of a circle,centre  \n0.UWis a diameter of the circle.  \n(a)(i)Write down the size of angle UVW.  \n90  \n(ii)Give a reason for your answer.  \n(2)  \nDiagram NOT  \naccurately drawn  \nX  \nX,Yand Z are points on the circumference of a circle,centre O.Angle XOZ=140°.  \n(b)(i)Work out the size of angle XYZ.  \n70  \n(ii)Give a reason for your answer  \n(2)aglestenedatcicomfceAnsle sostendel t cenlre iwice  \nLots more free papers at www.bland.in Grudle(Total 4 marks)Grudeß Queshien  \nY  \nDiagram NOT  \naccurately drawn  \nW  \nX,Y and Z are points on the circumference of a circle,centre O.WX and WZ are tangents to the circle.  \nAngle ZWX=60°  \nWork out the size of angle XYZ.  \nGive a reason for each stage in your working.∠ W×o= 90°∠WZ0=90°Cabctwentnnradis=  \n\u003Cx02=360-6+9)1°(   \nat circumfe/cmce\u003CX7 =60(anglent is t  \n(Total 4 marks)  \nG  sin  \nDiagram NOT  \naccurately drawn  \nD  \nThe diagram shows a circle centre O.  \nA,B and C are points on the circumference.  \nDCO is a straight line.DA is a tangent to the circle.  \nAngle ADO=38°  \n(a)Work out the size of angle AOD.  \n052∠Ao] = 180-(GD+38)svmo△=9°(taa  \n(2)  \n(b)(i)Work out the size of angle ABC.  \n26  \n(ii)Give a reason for your answer.  \n(3)Anslb △+centre is tsie Ask atirfercnce  \n(Total 5 marks)  \nGalB ti  \n6.  \nDiagram NOT  \naccurately drawn  \nA  \nCB  \nIn the diagram,A,B,C and D are points on the circumference of a circle,centre O.Angle BAD=60°.  \nAngle BOD=x⁰.  \nAngle BCD=y°.  \n(a)(i)Work out the value of x.  \nx=……………120°  \n(ii)Give a reason for your answer.ircmterenleAngle ut cet/c is twice G-gle at  \n(2)  \n(b)(i)Work out the value of y.  \ny=..120°  \n(ii)Give a reason for your answer.  \n(2)to8oposteany oadd  \n(Total 4 marks)  \nGcade ß Qvestiun  \nT  \nA,B and C are points on the circumference of a circle,cen","cbCaigsCQTnJ6vwQ","https://ap.wps.com/l/cbCaigsCQTnJ6vwQ","pdf",2558873,1,12,"English","en",105,"# Circle theorems practice\n## Tangent-chord and alternate segment angle problems\n## Cyclic quadrilateral angle and parallel-line proofs\n## Angles in circles using diameter and tangent facts","[{\"question\":\"What equipment is required to answer the questions?\",\"answer\":\"You must have a ruler (centimetres and millimetres), protractor, pair of compasses, pen, HB pencil, eraser, and tracing paper may be used.\"},{\"question\":\"Are calculators allowed?\",\"answer\":\"No calculators must be used.\"},{\"question\":\"What is the general approach to these questions?\",\"answer\":\"Read each question carefully, answer all questions, write the solutions in the spaces provided, and give reasons for each stage where required.\"}]","Edexcel GCSE Mathematics A - Solutions - Circle Theorems Higher Tier - Past Paper Style Questions Arranged by Topic | 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