Third Term Exam (MAFA039) - eduelanka.files.wordpress.com · Web viewOB. M. 10. MAFA0. 39 ... oelafjk fjka rEm igyfkys . A ' ∩B m%foaY w÷re lr olajkak’ leurdjla ksIamdokh lsÍug

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.Ks;h கணிதம

Mathematics

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9 fYa%Ksh ld,h : meh 2 hs

;=kajk jdr úNd.h - 2018ஆணடு இறுதியில திபபடு - 2018

Year End Evaluation – 2018

jeo.;a (* fuu m%Yak m;%h msgq 10 lska iukaú;h'

* fuu msgqfõ;a" ;=kafjks msgqfõ;a kshñ; ia:dkj, Tfí ku ,shkak'

* m<uq fldgig ms<s;=re fuu m%Yak m;%fhau imhkak'

* ms<s;=r;a tu ms<s;=r ,nd.;a wdldrh;a oelaùug ta ta m%Yakh háka ;nd we;s bv m%udKh m%fhdackg .kak'

* m%Yak j,g ms<s;=re iemhSfï§ wod< mshjr iy ksjerÈ tall oelaùu wjYH h'

* my; olajd we;s wdldrhg ,l=Kq m%odkh flf¾'I fldgi

wxl 1-20 f;la tla tla m%Yakhg ,l=Kq 2 ne.sksII fldgi

m<uq m%Yakhg ,l=Kq 16 lao" wfkla iEu m%Yakhlgu ,l=Kq 11 ne.ska ysñ fõ'

MAFA039

……………………………………………………………iïmQ¾K ku

…………………………………

úNd. wxlh

MAFA039 – STEM Standard papers | ©EdueLanka 2018

mÍlaIljrdf.a m%fhdackh ioyd muKhs

m%Yak wxl ,l=Kq

I fldgi

II fldgi

01

02

03

04

05

06

07

uq¿ tl;=j

…………………………………,l=Kq lf<a

…………………………………ixfla; wxlh

CLASS STEM MODULE CODES

2 | P a g e

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MACA019 – Monthly Tests – 20%

MACA029 – Homework and quizzes – 5%

MACA039 – Assignment 1 – 10%

MACA049 – Assignment 2 – 5%

MAFA019 – First Term Evaluation – 20%

MAFA029 – Second Term Evaluation – 20%

MAFA039 – Third Term Evaluation – 20%

-- Do not write in this page --

ku () _________________________ úNd. wxlh () __________________

ie,lsh hq;=h () ishÆ m%Yak j,g ms<s;=re imhkak' tla m%Yakhlg ,l=Kq 2 ne.ska ysñfõ'

1) mrudKqjl úIalïNh 0.000 000 000 25cm muK fõ’ fuh úoHd;aul wxlkfhka ,shkak’

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MAFA039

Total Marks = _________

.Ks;h I m;%hகணிதம – I

Mathematics - I

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Year End Evaluation – 2018


2) fmdÿ moh (−3)n jk ixLHd rgdfõ 4 jk moh fidhkak’

3) f yd e ys w.hka fidhkak’

f =2e kï"

4) re’ 175 ka 37 la remsh,a lSh o@

5) tla;rd isiqfjla .Kl hka;%fha [ ON ] [ 1.2 ]¿ f,i igyka lrk ,È’ wjika ms<s;=r l=ula úh yelso@

6) iq¿ lrkak’ 2x−17

− x+27

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7) ays w.h fidhkak’

8) we,anÜ whskaiaghskaf.a Yla;sh" ialkaOh yd fõ.h iïnkaO m%isoaO iQ;%h E=mc2 f,i ye¢kaúh yel fuys m hkq ialkaOh kï m fiùug m Wla; lrkak’

9) 1.68 lOdß;djla we;s >kldNdldr jia;=jl mßudj >k fikaáógrj,ska olajkak’

10) y=12 jk úg 3−4 yys w.h fidhkak’

11) b=2a , c=5a ,d=4akï" a , b , c , d ys w.hka fidhkak’

12) 4 x=64 , xfidhkak’

13) my; oelafjk fjka rEm igyfkys A' ∩B m%foaY w÷re lr olajkak’ 5 | P a g e

AB

ε

ku : ……………………………………..


14) leurdjla ksIamdokh lsÍug Ndú;d lrk ,o iup;=ri%dldr yrialvla iys; iDcq m%siauh È. 12cm ls’ tys mßudj 768 cm3 fõ’ tys iup;=ri%dldr uqyqK;l me;a;l È. fidhkak’

15) 1 :50 000 mßudKhg w¢k ,o is;shul k.r 2la w;r ÿr 4.8 cm fõ’ tu k.r fol w;r ienE ÿr lsf,daógr j,ska fidhkak’

16) jHdmD;s l<ukdlrKfha§ ,dNh fiùug Ndú;d jk l%uhla f,i Linear Programming l%uh ye¢kaúh yel’ −4 x≤ 40wiudk;dj úi|d th bosßfhka we;s ixLHd f¾Ldfõ ksrEmKh lrkak'

17) re’ 65"000 la f,i ñ, ,l=Kq lrkq ,enQ YS;lrKhla úls”fïÈ 8 % l jÜgula ,ndfoa’ ,nd fok jÜgu fldmuKo@

18) 3 x2−24 x+36 ys idOl 3(x−2)(x−6) nj isiqjl= mjihs’ th ksjerÈ nj ;yjqre lrkak’

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19) 2 x≥ x−3 úi|d x g .; yels Ok ksÅ,uh úi÷ï 2 la ,shd olajkak

20) ndysr fldaKhl w.h 640 jQ iúê nyqwi%hla mej;sh yelso@ Tfí ms<s;=rg fya;= olajkak’

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Prepared By : Keith Dilhan (CIMA, B.Sc. in Civil Engineering, HNDE)Edited By : Kumani

ie,lsh hq;=h () m<uq m%Yakh yd ;j;a m%Yak y;rlg ms<s;=re imhkak' ms<s;=re fjku lvodishl imhkak'

m<uq m%Yakhg ,l=Kq 16 lao wfkla iEu m%Yakhlgu ,l=Kq 11 ne.ska o ysñ fõ'

1)a) mdi,a mka;s ldurh ;=< bf.kqu ,nk úIhhkaf.a úIh idOk uÜgu yd isiq m%.;sh

ms<sn|j jd¾;djla ilia lsÍu i|yd .Ks; úIhNdr .=re;=ud iuÕ l< fláld,Sk lKavdhï jHdmD;sh isysm;a lrkak’ tys§ .=re;=ud úiska mdie,a ,l=Kq fmd;ska Tn fj; ,ndÿka ,l=Kq Tn uq,skau we;=<;a l< j.=j jkafka"

1. .=Kk j.=j2. ,>q .Kl j.=j3. m%.Kk j.=j4. ixLHd j.=j

,l=Kq 01b) Tn mka;s ldurfha we.hSï wjia:djl § isiqkaf.a ,l=Kq tl;= fldg j.= .; l, wdldrh isysm;a

lrkak’25" 73" 54" 18" 75" 65" 70" 12" 43" 5458" 72" 69" 15" 32" 08" 42" 51" 32" 2835" 38" 56" 67" 50" 63" 71" 67" 77" 1937" 52" 55" 74" 78" 53" 50" 22" 59" 41

(i) fuu f;dr;=re 5−17 ,18−30 ,31−43 , 44−56 wd§ jk f,i mka;s m%dka;r iys; j.=jl we;=,;a lrkak’

,l=Kq 10(ii) fuu jHdma;sfha ud; mka;sh l=ulao@

,l=Kq 01

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.Ks;h II m;%hகணிதம – II

Mathematics - II

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Year End Evaluation – 2017MAFA03

9


(iii)fuu jHdma;sfha uOHia: mka;sh l=ulao@,l=Kq 02

(iv) tla <ufhl= ,nd .;a uOHkh ,l=Kq fidhkak’,l=Kq 02

2)a) l=,l yd iïNdú;dj mdvïj,g wod<j Tn úiska ms<sfh, lrk ,o iólaIK jd¾;dj ms<sn|j is;

fhduq lrkak’ tys§ Tn lKavdhu úiska y÷kd.;a mdi,a mßirhg wh;a l=,l lsysmhla my; mßÈ fõ’

A={YsIH kdhl lKavdhfï idudðlhka} B={ix.S; lKavdhfï idudðlhka}

C={nd,olaI lKavdhfï idudðlhka} D={kegqï lKavdhfï idudðlhka}

by; l=,l wjhj weiqßka ,shQ úg my; mßÈ fõ’A={iqks,a" ksu,a" lu,a" .S;d" idud} B={ ksu,a" lu,a" wu,a" .S;d" kS;d}

C={iyka" ksu,a" .S;d" iS;d} D={ksu,a" .S;d" wur" wreKs}

(i) fuu lKavdhfï y;frka tllg fyda wh;a jk isiqka .Kk lSho@,l=Kq 01

(ii) lKavdhfï y;frys u idudðlhka jk isiqka l=,lh wjhj iys;j ,shd olajkak’,l=Kq 01

(iii) A l=,lfha Wml=,k folla ,shkak’,l=Kq 02

(iv) YsIH kdhlfhl= fkdjk tfy;a fjk;a l=uk fyda lKavdhul idudðl;ajh ork idudðlhka lS fofkla isà o@

,l=Kq 01(v) my;ska oelafjk l=,l wjhj weiqßka ,shd olajkak

,l=Kq 031. A ∩ B2. B∪C3. C ' ∩ D

b) u,a,l r;= mdg fnda, 4la o ks,a mdg fnda, 3lao fld< mdg fnda, 5la we;’ wyUq f,i fuu u,af,ka fnda,hla bj;g .kq ,efí’(i) ,eìh yels ish¿u m%;sM, we;=,;a ksheÈ wjldYh ,shkak

,l=Kq 01

9 | P a g e


(ii) ks,a mdg fnda,hla ,eîfï iïNdú;dj fidhkak’,l=Kq 01

(iii)r;= mdg fnda,hla fkd,eîfï iïNdú;dj fldmuKo@,l=Kq 01

3) ir, odrh yd ljlgqj muKla Ndú;d lr ks¾udK f¾Ld meyeÈ,sj olajñka my; i|yka ks¾udKh lrkak’

(i) 7.2 cm la È. ir, f¾Ldjla we| th AB f,i kï lrkak’ ,l=Kq 02(ii) B A C=600 la o" AC mdoh 5cm la o jk fia ABC ;%SfldaKh ks¾udKh lrkak’

,l=Kq 03(iii) A C B fldaKfha w.h uek ,shkak’

,l=Kq 01(iv) AB yd BCmdoj,g iu ÿßka .uka lrk ,laIhkaf.a m:h ks¾udKh lrkak’

,l=Kq 03(v) AC mdoh yuqjk ,laIh x f,i kï lrkak’ ,l=Kq 01(vi) AX ys È. uek ,shkak

,l=Kq 01

4) y=3 x iólrKhg .e,fmk w.h j.=jla my; oelafõx -2 -1 0 1 2

y

(i) j.=fõ ysia;eka mqrjkak’ ,l=Kq 02

(ii) j.=fjka ,nd.; yels mámdá.; hq.,a my ,shd olajkak’ ,l=Kq 05

(iii)tu mámdá.; hq., LKavdxl ;,hla u; ,l=Kq lr y=3 x iólrKfhka oelafjk m%ia:drh w¢kak’ ,l=Kq 01

(iv) y=3 x f¾Ldjg iudka;rj (0 ,−3 ),laIh yryd .uka lrkakd jQ ir, f¾Ldfõ iólrKh ,shkak ,l=Kq 01

(v) tu iólrKfha wkql%uKh yd wka;•LKavh fidhkak’ ,l=Kq 02

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5)

a)23−1

2× 4

5 iq¿ lrkak’ ,l=Kq 02

b) 8 % l jd¾Isl iq¿ fmd,shla f.jk uQ,H iud.ul re’ 50 000la ;ekam;a lrk lu,a jir 2 la wjidkfha fmd,shla iuÕ tu uqo, ,nd .kS’

(i) jir 2l wjidkfha § Tyqg ,efnk fmd,sh fldmuKo@,l=Kq 02

(ii) Tyq ,nd .kakd uq¿ uqo, fldmuKo@,l=Kq 02

(iii)jir 2la wjidkfha Tyq ,nd .kakd uq¿ uqo, ;ekam;a l, uqof,a m%;sY;hla f,i olajkak,l=Kq 02

c) kqjka 3km ÿr mdmeÈhlska hdug ñks;a;= 24la .; lrhs’ Tyqg 8kmÿr tu fõ.fhka hdug .;jk ld,h meh yd ñks;a;= j,ska olajkak’

,l=Kq 03

6)a) my; rEmigyfka ùÔh ixfla; j,ska olajd we;s fldaK j, w.h fidhkak’

,l=Kq 04

b) ABC ;%sfldaKfha B A C=A B Ciy A C D=2a+600fõ’

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(i) A C BfldaKfha w.h a weiqfrka m%ldY lrkak’,l=Kq 02

(ii) a=250kï A C Bys w.h lSho@ ,l=Kq 02(iii) A BC w.h A C Bg jvd 150 la jeä nj ñysß mjihs’ Tn tu m%ldYhg tlÕ fõo@ Tfí

ms<s;=rg fya;= olajkak’,l=Kq 03

7)a) iDcqfldaKdi% m;=,la iys; gexlshl È. 60 cm m<, 50cm la o Wi 40 cm la o fõ’

(i) gexlsfha mßudj >kfikaá óg¾ j,ska fidhkak’,l=Kq 03

(ii) gexlsh c,fhka msÍ we;s úg c, mßudj ,Sg¾ j,ska fidhkak’,l=Kq 02

(iii)gexlsh ysiaj we;s úg k,hlska ñks;a;=jg ,Sg¾ 15 l c,h m%udKhla msfrhs kï gexlsh msÍug .;jk ld,h fldmuKo@

,l=Kq 02

b) rEmfha oelafjkafka w¾O jD;a;dldr l,d,hls’ tys úYalïNh 70 cm ls’

(i) l,d,fha wrh fidhkak’ ,l=Kq 01

(ii) π=227 f,i f.k l,d,fha mßñ;sh fidhkak’ ,l=Kq 03

--End Of Paper II--visit www.eduelanka.com to download this exam paper.

12 | P a g e

f,dalh fjkia lsÍug mdúÉÑ l< yels n,j;a u wdhqOh wèhmkh hs' ---- fk,aika uekafv,d ----


Prepared By : Keith Dilhan (CIMA, B.Sc. in Civil Engineering, HNDE)

13 | P a g e

f,dalh fjkia lsÍug mdúÉÑ l< yels n,j;a u wdhqOh wèhmkh hs' ---- fk,aika uekafv,d ----

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Third Term Exam (MAFA039) - eduelanka.files.wordpress.com · Web viewOB. M. 10. MAFA0. 39 ... oelafjk fjka rEm igyfkys . A ' ∩B m%foaY w÷re lr olajkak’ leurdjla ksIamdokh lsÍug