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GCE JUN 2008 : AS, C1: Core Mathematics 1(Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2008 Matamaitic Aonad Meas naithe C1 ag meas n Mod l C1: AS Cro mhatamaitic 1 [AMC11] D LUAIN 2 MEITHEAMH, MAIDIN 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. AMC1S8 3049.02 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 (3, 2) agus (9, 5) comhordan id na bpoint A agus B faoi seach. (i) Faigh f na AB. (ii) Faigh cothrom id na l ne tr d A ingearach le AB. 2 [2] [3] Simpligh ( 2 x + 3) ( 2 x + 1) ( 2 x 5) + 4 ( 2 x 1) ( 2 x + 1) 3 [5] (a) Athscr obh 3 7 7 2 agus ainmneoir c imheasta aige [4] (b) R itigh an chothrom id 27 x AMC1S8 3049.02 1 2 = 125 x 2 [5] [Turn over 4 Difre il i leith x 6x3 3 x + 5 2 + 10 x x [4] Faigh an raon luachanna de k nach bhfuil aon fhr amhacha r adacha ag an chothrom id chearnach seo th os d kx2 + 4x + (k 3) = 0 [6] 6 An fad stoptha d troigh(tr) do charr at ag taisteal faoi luas x msu (x > 10), is f idir samhail a dh anamh d leis an chothrom id d = ax2 + bx + c Agus carr ag taisteal faoi luas 20 msu is 14 tr an fad stoptha. Agus carr ag taisteal faoi luas 30 msu is 26 tr an fad stoptha. Agus carr ag taisteal faoi luas 40 msu is 42 tr an fad stoptha. (i) Faigh na luachanna de a, b agus c. [9] (ii) M s 86 tr an fad stoptha do charr, faigh an luas faoina raibh s ag taisteal. [4] AMC1S8 3049.02 3 [Tiontaigh an leathanach 7 T amharclann dearadh. Is f idir samhail a dh anamh do phlean an url ir le dronuilleog agus leathchiorcal mar a thaispe ntar in F or 1 th os. 2x 2y F or 1 Is 2x m leithead na dronuilleoige agus is 2y m an fad aici. (i) Scr obh slonn d iml ne na hamharclainne, i dt arma x, y agus . [2] Is igean gurb 200 m iml ne na hamharclainne. (ii) Scr obh y i dt arma x. [2] (iii) Taispe in gur f idir achar url ir na hamharclainne a scr obh mar A = 200 x 2 x 2 x 2 2 (iv) Faigh an luach beacht de x a fh gfaidh gur uasluach achar an url ir. AMC1S8 3049.02 4 [3] [5] [Turn over 8 (i) Taispe in go bhfuil (x 1) ina fhacht ir de x3 + x2 2 [2] x3 + x2 2 = 0 [6] (ii) Uaidh sin r itigh an chothrom id (iii) Faigh comhordan id na bpoint casaidh ar an chuar y = x3 + x2 2 agus faigh a gcine l. [10] (iv) Uaidh sin sceitse il an cuar y = x3 + x2 2 SEO DEIREADH AN SCR DPH IP IR AMC1S8 3049.02 5 [3] 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 2008 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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