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GCE JUN 2010 : AS, C1: Core Mathematics 1(Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2010 Matamaitic ag meas n Mod l C1: AS Cro mhatamaitic 1 AMC11 Aonad Meas naithe C1 [AMC11] D C ADAOIN 9 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. 5191.02 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 (4, 7) agus ( 2, 3) na point A agus B faoi seach. (i) Faigh P, l rphointe AB. (ii) Faigh cothrom id na l ne tr P at ingearach le AB. 2 [1] [5] Nuair a roinntear an slonn ax3 3x2 + bx + 6 ar (x + 1), beidh fu lleach de 12 ann. (i) Scr obh cothrom id a cheangla onn a agus b. [3] T facht ir (x 3) ag an slonn ax3 3x2 + bx + 6 (ii) Scr obh cothrom id eile a cheangla onn a agus b. [2] (iii) Uaidh sin, faigh luachanna a agus b. [2] 5191.02 2 [Turn over 3 Taispe nann an l ar id in F or 1 anseo th os graf an chuair y = f(x). T pointe A, (5, 4) ar an chuar. y A 4 x 5 F or 1 Sceitse il, ar l ar id leithleacha, na graif de (i) y = f(x) 1 [2] (ii) y = f(x) [2] (iii) y = f(2x) [2] agus taispe in go soil ir omh pointe A ar gach sceitse. 4 (a) Simpligh a mh ad agus is f idir 9x2 4 3x 2 2x + 1 6x + 3 [5] (b) Athscr obh an slonn 3- 7 7 -2 agus ainmneoir c imheasta aige. [4] (c) R itigh an chothrom id 27x 3x + 1 = 9 5191.02 3 [5] [Tiontaigh an leathanach 5 Is y = x4 2x3 cothrom id cuair (i) Faigh dy dx [2] (ii) Faigh comhordan id x na bpoint c naitheacha ar an chuar agus faigh a gcine l. 6 [7] (i) Sceitse il graf an chuair 10 y = x [2] (ii) Ar an l ar id ch anna, sceitse il an l ne y = 3x + 13 (iii) Faigh comhordan id na bpoint mar a dtrasna onn an cuar [1] 10 y= x agus an l ne y = 3x + 13 a ch ile. 7 [6] (a) T p irc dhronuilleogach 2x m adar ar leithead. T s (x + 10) m adar ar fad. Is 800 m2 achar na p irce. (i) Taispe in go bhfuil x2 + 10x 400 = 0 [2] (ii) Uaidh sin, faigh i bhfoirm shurda, leithead agus fad na p irce. [4] (b) Faigh an raon de luachanna p d bhfuil dh fhr amh ar leith ag an chothrom id px2 3x + (5 p) = 0 5191.02 4 [7] [Turn over 8 Cruth dronuilleoige a bheidh ar ph irc imeartha nua. Beidh leathchiorcal ag gach ceann na p irce mar a thaispe ntar in F or 2 anseo th os. > > l > > r F or 2 Is l m adar fad na dronuilleoige agus is r m adar ga an leathchiorcail. (i) Scr obh slonn i dt arma l agus r d iml ne na p irce imeartha. [1] Caithfidh iml ne na p irce a bheith 400 m ar fad. (ii) Faigh slonn do l i dt arma r. [2] (iii) Agus calcalas in s id, faigh tois na p irce imeartha a fh gfaidh go mbeidh uasachar ag an dronuilleog. [8] SEO DEIREADH AN SCR DPH IP IR 5191.02 5 5191.02

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Additional Info : Gce Mathematics June 2010 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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