1 | P a g e © EdueLanka – 2017 - By Keith DIlhan

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) wOHdmk pdßldjla hdug nia r: 6la wjYH úh. YsIHdjka 48 ne.ska jQ nia r: 3la o YsIHdjka 40 ne.ska

jQ nia r: 2la o pdßldjg tla úh. pdßldfõ .sh uq¿ isiqka .Kk fidhkak.

2) 𝑎° ys w.h fidhkak.

3) jryka bj;a lr iq¿ lrkak. 2(𝑥 − 2) − (𝑥 − 3)

4) idOl fidhkak. 𝑥𝑦2 − 𝑥𝑦 − 𝑥

m<uq jdr úNd.h - 2017 முதல் கால ததரவ்ு – 2017

First Term Evaluation – 2017

8 fYa%Ksh ld,h : meh 2 hs

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.Ks;h I m;%h

கணிதம் – I

Mathematics - I

8 I

M 4

Total Marks = _________

120

2 | P a g e © EdueLanka – 2017 - By Keith DIlhan

5) 1" 3" 5" 7" . . . . . . . . . .ixLHd rgdfjys 98 hkq lS fjks moho@

6) my; >kldNfha odr ish,af,a tl;=j 4(4𝑛 − 1) nj fmkajkak.

7)

(i) 90° ys wkqmQrlh lSho@

(ii) 89° ys mßmQrlh lSho@

8) 𝑃�̂�𝑅 yd 𝑅�̂�𝑆 noaO fldaK hq.,hla fkdjk nj YsIHfhl= mjihs. th i;H o /

wi;H o nj mjid fya;=j olajkak.

9) iq¿ lrkak. (−3) + (−8) − (−5)

10) oajdoi;,hla iE§u ioyd fhdod.;a ;, rEmj, ku l=ulao@ tu ;, rEmfha mdo lSho@

99

3 | P a g e © EdueLanka – 2017 - By Keith DIlhan

11) 𝑥 = −2, 𝑦 = 3 yd 𝑧 = −4 kï 2𝑥 − 𝑥𝑦𝑧 ys w.h fidhkak.

12) 676 ys j¾.uQ,h fidhkak.

13) ish¿u uqyqK;a iúê jQ yev mj;sk >kjia;= yÿkajk ku l=ulao@

14) √324 w.h m%:ul idOl u.ska fidhkak.

15) (−5)12 ixLHdj yd (+5)12 ixLHdj i,ld n,kak. fuu ixLHd 2 ys jákdlu iudk fõ o @ fkdfõ o@

fya;= olajkak.

16) ixLHd rgdjl fmdÿ moh 5 − 3𝑛 fõ. tu rgdfõ uq,a mo fol ,shd olajkak.

17) 10𝑡 420𝑘𝑔 ÷ 4 iq¿ lrkak.

4 | P a g e © EdueLanka – 2017 - By Keith DIlhan

18) 7 jk ;%sfldaK ixLHdj;a 7 jk j¾. ixLHdj;a w;r fjki lSho @

19) ;%Sù,a r:hl ialkaOh 1.5𝑡 fõ. tjeks r: myla /f.k hk g%la r:hl uq¿ ialkaOh 18.75𝑡 fõ. g%la

r:fha ialkaOh fidhkak.

20) fmd;l ñ, mEkl ñ, fuka y;r .=Khl.s mEkl ñ, re 𝑥 kï fmd;l yd mEkl ñ, ioyd ùÔh

m%ldYkhla ,shkak.

Prepared By : Keith Dilhan (CIMA, B.Sc. in Civil Engineering(undergraduate),HND Eng, Training Engineer )

Edited By : Kumani

visit www.eduelanka.wordpress.com to download this exam paper.

5 | P a g e © EdueLanka – 2017 - By Keith DIlhan

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'

1) fld<U bÈlrñka mj;sk T,afghd¾ (𝐴𝑙𝑡𝑎𝑖𝑟) gj¾ f.dvke.s,af,a oaùudk mßudKhg wÈk ,o rEmhla my;

oelafõ.

(i) § we;s rEmfha mßñ;sh fidhkak.

(ii) úxi;s;,hl uqyqK;a" odr yd YS¾I ixLHdj fldmuKo@

uqyqK;a (𝐹) ;

odr (𝐸) ;

YS¾I (𝑉) ;

(iii) >k jia;=jl odr 8la uqyqK;a 6la we; . tys YS¾I .Kk fidhkak.

2)

a. rEm igykaj, oelafjk f;dr;=re wkqj (𝑥 + 𝑦) ys w.h fidhkak.

m<uq jdr úNd.h - 2017 முதல் கால ததரவ்ு – 2017

First Term Evaluation – 2017

8 fYa%Ksh ld,h : meh 2 hs

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.Ks;h II m;%h

கணிதம் – II

Mathematics - II

8 II

M 4

6 | P a g e © EdueLanka – 2017 - By Keith DIlhan

b.

(i) § we;s rEmfha 𝑥, 𝑦, 𝑧 f,i olajd we;s fldaKj,

úYd,;aj fidhkak. (𝐵𝑌, 𝐵𝐷, 𝑋𝑍 ir, f¾Ld LKav fõ. )

(ii) 𝐴�̂�𝐶 yd 𝐴�̂�𝐵 wkqmQrl fldaK hq.,hls 𝐴�̂�𝐶 ys w.h

lSho@

3)

(i) 3, 7, 11, 15, … … … … … … … … .. ixLHd rgdfõ fmdÿ moh fidhkak.

(ii) by; ixLHd rgdfõ 12 jeks moh fidhkak.

(iii) 3 − 3𝑛 ixLHd rgdfõ uq,a mo ;=k ,shkak.

(iv) 1024 lS jeks iup;=ri% ixLHdjo@

(v) 33 jeks ;%sfldaK ixLHdj fidhkak.

4) iq¿ lrkak.

(i) (−10) + (+8) + (−6)

(ii) ixLHd f¾Ldj Ndú;fhka iq¿ lrkak. (−7) − (−5)

(iii) (−12) 𝑋 (+4)

(−3) 𝑋 (+5) w.h fidhkak.

(iv) ( −31

4 ) + ( −6

1

2 ) w.h fidhkak.

5) iq¿ lrkak.

a.

(i) 3𝑥 + 2𝑦 + 7𝑦 − 5𝑦

(ii) 4(𝑥 − 2𝑦 + 𝑧) − 5𝑧 jryka bj;alr iq¿ lrkak.

(iii) 𝑥 = +2 yd 𝑦 = (−3) jk úg

2𝑥𝑦2 + 𝑦3 ys w.h fidhkak.

7 | P a g e © EdueLanka – 2017 - By Keith DIlhan

b.

(i) mß.Kkl 𝐶𝑃𝑈 tll ñ, re.𝑥 o" 𝑀𝑜𝑛𝑖𝑡𝑜𝑟 tll ñ, re.y o" 𝐾𝑒𝑦𝑏𝑜𝑎𝑟𝑑 yd 𝑀𝑜𝑢𝑠𝑒 tll ñ, re.𝑧 o

fõ.

(ii) 𝐶𝑃𝑈 tlla" 𝑀𝑜𝑛𝑖𝑡𝑜𝑟 tlla" 𝐾𝑒𝑦𝑏𝑜𝑎𝑟𝑑 yd 𝑀𝑜𝑢𝑠𝑒 tlla ñ,È .ekSug jehjk uqo, ùÔh m%ldYkhlska

olajkak.

(iii) by; Wmdx. ñ,È .;a ;eke;a;d Wmldrl mx;shla wdrïN lsÍug by; (𝑖) ys mß.Kl Wmdx. lÜg,

6la ñ,È .kakd ,È. ta ioyd úhoï jk uqo, jryka iys; ùÔh m%ldYkhlska olajkak.

6)

a.

by; rEmigykla § we;s o;a;j,g wkqj my; m%Yakj,g ms<s;=re imhkak.

(i) 𝐴𝐵𝐶𝐷 iup;=ri%fha j¾.:,h fidhkak.

(ii) 𝐴𝐸𝐹𝐺 iup;=ri%fha j¾.:,h fidhkak.

(iii) 𝐵𝐺𝐻𝐼 iup;=ri%fha j¾.:,h fidhkak.

(iv) iup;=ri% ;=fka j¾.:, w;r we;s úfYaI iïnkaOdkh l=ulao@

b.

(i) 63 hkq 8 𝑋 27 nj fmkajkak.

(ii) √√√168 ys w.h lSho@

---- End Of Paper -----

A B

C D

E

F

G

H

I

8 | P a g e © EdueLanka – 2017 - By Keith DIlhan

Prepared By : Keith Dilhan (CIMA, B.Sc. in Civil Engineering(undergraduate),HND Eng, Training Engineer )

Edited By : Kumani

visit www.eduelanka.wordpress.com to download this exam paper.

“ වේලාව කා දමනු ලබන පුද්ගලයා කාලය විසින් නසා දමනු ලබයි.”

---- ú,shï fYalaiamsh¾ ----