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GCE MAY 2008 : A2, C2: Core Mathematics 2 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2008 Matamaitic Aonad Meas naithe C2 ag meas n Mod l C2: AS Cro mhatamaitic 2 [AMC21] D C ADAOIN 21 BEALTAINE, IARN IN AM 1 uair 30 n im ad. TREOIR D IARRTH IR Scr obh d Uimhir L rionaid agus d Uimhir Iarrth ra ar an Leabhr n Freagra at leis seo. Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart na freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. T cead agat ireamh n grafach n eola och a s id sa ph ip ar seo. EOLAS D IARRTH IRI Is 75 an marc ioml n don ph ip ar seo. L ir onn figi ir idir l ib n ar thaobh na l imhe deise de leathanaigh na marcanna at ag dul do gach ceist n do gach cuid de cheist. T c ip den leabhr n Foirml Matamaitice agus T bla ar f il. S os tr d an ph ip ar seo is ln z an nodaireacht logartamach a s idtear it a dtuigtear go bhfuil ln z loge z AMC2S8 3157.02 Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba ch ir freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 Suime il 3 2 2 +x x4 Sainmh n tear seicheamh le un+1 = 2bun (i) u1 = 6 (n = 1, 2, 3, 4 ...) Faigh u2 agus u3 i dt arma b [3] (ii) Faigh raon na luachanna de b d bhfuil an seicheamh coinbh irseach. 3 [4] [3] Le linn o che 4 Ean ir 2009 fanfaidh na soilse i sr id irithe ar lasadh ar feadh 16 huaire an chloig. Gach o che ina dhiaidh sin laghd far de 200 soicind an t-am a fhanfaidh siad ar lasadh. (i) Taispe in, le seicheamh comhbhreise cu , go bhfanfaidh na soilse ar lasadh ar feadh 52 000 soicind le linn o che 1 Feabhra 2009 [6] (ii) Faigh l on ioml n na n-uaireanta an chloig a chaithfidh an chomhairle na soilse sr ide a choinne il ar lasadh le linn Mh Feabhra 2009 (o che 1 Feabhra a fhad le ho che 28 Feabhra agus an o che sin san ireamh). [3] AMC2S8 3157.02 2 [Turn over 4 Is seo a leanas cothrom id ciorcail x2 + y2 6x + 12y 180 = 0 (i) Faigh l r an chiorcail seo. [2] (ii) Faigh ga an chiorcail seo. [2] Is trastomhas den chiorcal seo AC. T an pointe B ar an chiorcal chomh maith. T AB = 10 (iii) Faigh fad BC. 5 [4] (i) Cruthaigh go bhfuil [3] (ii) Uaidh sin n ar dh igh eile, r itigh [5] AMC2S8 3157.02 3 [Tiontaigh an leathanach 6 In F or 1 anseo th os, is CAB crios chaitheamh an gha i l thair l thchleasa ochta. Is teasc g CAB de chiorcal dar ga 100 m agus dar l r C. T uillinn ACB = 1.4 raidian. A 100 J C 1.4 raidian M 100 B F or 1 (i) Faigh achar na creasa. [2] Caitear ga C agus tuirling onn s sa chrios ag pointe J. T uillinn JAC = 0.5 raidian agus t AJ = 50 m. (ii) Faigh an fad J go C. [3] (iii) Faigh ina raidiain an uillinn idir CJ agus an l ne CA. [3] T an lucht f achana ina sheasamh feadh imeall CB na creasa. Is an f achad ir at ina sheasamh ag pointe M ar CB is c ngara do J. (iv) Faigh fad M J. AMC2S8 3157.02 [4] 4 [Turn over 7 Taispe nann F or 2 anseo th os an cuar y = 4x 2x2 agus an l ne y = x + 2 y A B 1 3 x F or 2 Trasna onn an cuar agus an l ne a ch ile ag point A agus B. 1 (i) Deimhnigh gurb iad agus 2 na comhordan id x at ag A agus B. 2 (ii) Faigh an t-achar sc thaithe idir an cuar seo agus an l ne. AMC2S8 3157.02 5 [3] [10] [Tiontaigh an leathanach 8 (a) Scr obh log3 6 log3 14 + 2 log3 7 mar logartam singil. [6] (b) Faigh x ag glacadh leis go bhfuil log4 x 2 logx 4 = 1 [9] SEO DEIREADH AN SCR DPH IP IR AMC2S8 3157.02 6 [Turn over

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Additional Info : Gce Mathematics May 2008 Assessment Unit C2 Module C2 : Core Mathematics 2 (Irish Medium)
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

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