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GCE JUN 2009 : AS, C1: Core Mathematics 1(Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2009 Matamaitic Aonad Meas naithe C1 ag meas n Mod l C1: AS Cro mhatamaitic 1 [AMC11] D HAOINE 5 MEITHEAMH, 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. N l cead agat aon is r omhaireachta 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. 4045.02 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. N l cead agat aon is r omhaireachta a s id sa ph ip ar seo. 1 Is iad ( 1, 3) agus (2, 3) comhordan id na bpoint A agus B (i) Faigh cothrom id na l ne AB. [4] Is seo th os cothrom id na l ne CD 2y x = 3 (ii) Faigh comhordan id an phointe mar a dtrasna onn an d l ne a ch ile. 2 R itigh na comhchothrom id 2x + y + 2z = 6 4x y + 2z = 13 2x 2y z = 3 3 [3] [7] (a) Faigh cothrom id an tadhla don chuar y = 2x3 4x + 5 ag an phointe mar a bhfuil x = 1 (b) (i) Faigh [6] dy an it a bhfuil dx y = 4x2 + x 1 [2] (ii) Uaidh sin, faigh comhordan id an phointe casaidh ar an chuar y = 4x2 + x 1 agus luaigh c n cine l. 4045.02 [6] 2 [Turn over 4 (i) theoirim na bhfacht ir , taispe in gur facht ir (x 1) de 9x3 9x2 x + 1 [2] (ii) Uaidh sin, facht irigh ina ioml ine 9x3 9x2 x + 1 [3] (iii) Uaidh sin, simpligh ina ioml ine 9x3 9x 2 x + 1 x 1 3x 1 4 5 [4] Is leis an fhoirmle th os a thugtar teocht cup n tae, C ceinteagr d, t n im ad i ndiaidh go ndearnadh C = 80 10 t + 1 t 2 2 at bail och faoi choinne 0 < t < 10 (i) Faigh teocht an chup in tae ag t s ama. [1] (ii) Faigh t nuair a bheidh C = 50, agus scr obh do fhreagra i bhfoirm shurda. [4] (iii) Faigh r ta athraithe C nuair a bheidh t = 3 [4] 4045.02 3 [Tiontaigh an leathanach 6 Bosca a bhfuil cl r air, is ci b ideach dar leithead x cm, dar fad y cm agus darb airde 3 cm, mar a thaispe ntar in F or 1 th os. 3 y x F or 1 Is 66 cm3 toirt an bhosca. (i) Scr obh cothrom id do y i dt arma x. [2] Is 101 cm2 achar dhromchla an bhosca. (ii) Scr obh cothrom id eile a cheangl idh x le y. [2] (iii) Uaidh sin, faigh tomhais an bhosca. [5] 4045.02 4 [Turn over 7 (a) Simpligh a mh id agus is f idir 5 1 3 +1 1 3 [4] (b) Ag glacadh leis go bhfuil 5x =5 25 x 1 faigh x [6] (c) Taispe nann F or 2 anseo th os graf na feidhme y = f(x) y 1 1 x F or 2 Sceitse il an graf de y = f(2x) agus sainaithin na point mar a dtrasna onn an graf na haiseanna n mar a dtadhla onn s iad. [2] 8 Faigh raon na luachanna de k nach bhfuil aon fhr amh r adach ag an chothrom id seo th os d ibh x2 + (3 k)x + 7 = 0 F g do fhreagra i bhfoirm shurda. [8] SEO DEIREADH AN SCR DPH IP IR 4045.02 5 [Tiontaigh an leathanach Cuireadh isteach ar chead chun an t- bhar c ipchirt uile a at irgeadh. I gc sanna irithe is f idir n r irigh le CCEA teagmh il a dh anamh le h in ir c ipchirt agus beidh s s sta na hadmh lacha sin a f gadh ar l r a chur ina gceart amach anseo ach a chur ar an eolas.

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Additional Info : Gce Mathematics June 2009 Assessment Unit C1 Module C1:Core Mathematics 1 (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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