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Maths - Grade 9 · 2016. 4. 18. · Microsoft Word - Maths - Grade 9 Author: Chamith Created Date: 5/15/2014 4:09:10 PM

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Page 2: Maths - Grade 9 · 2016. 4. 18. · Microsoft Word - Maths - Grade 9 Author: Chamith Created Date: 5/15/2014 4:09:10 PM

moku m%ldYk wdo¾Y m%Yak m;% lÜg, - 1 uOH jdr mÍCIKh

.Ks;h 1

9 fY%aKsh ld,h meh 02 ñks;a;= 30 hs

I fldgi

• m%Yak ish,a,gu ms<s;=re imhkak

1) ........,

51,

....

....,31,

21

hk ixLHd rgdfõ ysia;ekaj,g .e<fmk ms<s;=re ,shkak'

2) 3565 km, fuh wdikak lsf,daóg¾ 10 g jghkak'

3) 2 : 3 = : 9 ;=,H wkqmd;hg .e<fmk w.h ,shkak'

4) fuu n÷fka Odß;dj ñ,s,Sg¾ fldmuKo@

625 CC

5) iq¿ lrkak'

(-5) + (+6) + (-1) =

6) 2.03 x 106 idudkH wxlkfhka olajkak'

7) -2x + 8 idOl fjka lrkak'

8)

i) PQ yd R f¾Ld hq.,h tlsfklg iudkak;r fõo@

ii) Tfí ms<s;=rg fya;=j ,shkak'

9) my; m%ldYk j,g wkqj m%;HCI weiqfrka Tng t<ôh yels ks.ukh l=ulao@

1070

730

R

P Q

S

x + y = 300

m + n = 300

10) 9x2 – 25 = (..... + 5) (..... – 5) ys ysia;ekaj,g .e<fmk ms<s;=re ,shkak'

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Page 3: Maths - Grade 9 · 2016. 4. 18. · Microsoft Word - Maths - Grade 9 Author: Chamith Created Date: 5/15/2014 4:09:10 PM

11) tla;r ixLHd rgdjl fmdÿ moh 3n - 1 fõ' tys oyfjks moh fidhkak'

12) § we;s PQR fldaKfha" fldaK iuÉfþolh ks¾udKh lrkak'

13) re' 800 la f,i ñ, ,l=Kq l< im;a;= fcdavqjla 5] jÜgula iys;j úl=Kk ,§' ,ndÿka jÜgu lSho@

R

P

Q

14) yd w.h lSho@ ( ){ 402x }

15) l%shd;aul l< úg ,efnk ms<s;=r l=ulao@

16) 53

m%;sY;hla f,i olajkak'

On 128 ÷ 4 =

17) iq¿ lrkak'

03.05.2 ×

18) jd¾Isl fmd<S wkqmd;slh 12] la jk wdh;khla" re' 50"000$- la ;ekam;a l< wfhl=g jirla wjidkfha ,efnk fmd<sh fldmuKo@

19) iup;=ri%dldr bvul j¾.M,h 225m2 ls' tys me;a;l È. fidhkak'

20) A = { 0 ;a 20 ;a w;r j¾. ixLHd} fuu l=,lfha wjhj fjka rEm igykla olajkak'

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Page 4: Maths - Grade 9 · 2016. 4. 18. · Microsoft Word - Maths - Grade 9 Author: Chamith Created Date: 5/15/2014 4:09:10 PM

II fldgi

• m<uq m%Yakh we;=¿j m%Yak 5lg ms<s;=re imhkak'

1)

a) rEmfha ±lafjkafka mßñ;sh 420m la jQ RcqfldaKdi% bvuls' tys È." m<, fuka ;=ka .=Khlg

jvd 10m lska jeäh' ^bvfï m<, óg¾ x f,i olajd we;'&

i) bvfï È. x weiqßka ,shkak'

ii) bvfï mßñ;sh i|yd x we;=<;a iólrKhla f.dvkÕkak'

iii) tu iólrKh úi|kak'

iv) tuÕska bvfï È. yd m<, fidhkak'

b) my; ±lafjk iólrK f.dvkefÕk wdldrh jpkfhka úia;r lrkak'

i) 752a =+ ii) 312y

=− iii) 14

53m−=

c) fuu iólrKh úi|kak'

( ){ } 327132 =+−x

d) iQ;% ms<sn| ±kqu Ndú;fhka fuu m%Yakj,g m<;=re imhkak'

i) I = mv – mc1 iQ;%fha" Wla;h l=ulao@

ii) fuu iQ;%fha v Wla; lrkak'

x

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Page 5: Maths - Grade 9 · 2016. 4. 18. · Microsoft Word - Maths - Grade 9 Author: Chamith Created Date: 5/15/2014 4:09:10 PM

2)

920

a

1200x

2x 420

x

a) my; ±lafjk ùÔh ixfla; uÕska ±lafjk fldaKj, w.h fidhkak'

i) ii) iii)

b

b)

i) AOB ir, f¾Ldjlao@

ii) ms<s;=reg fya;= olajkak'

3)

a) iq¿ lr" ms<s;=r Ok o¾Yl iys;j olajkak'

i)

1280 420

A O B

5

62

333 ×

( ) ii) 43

52

xxx ×

b)

i) log6 216 = 3 m%ldYkh o¾Yk wdldrfhka olajkak'

ii) 1 = 70 m%ldYkh ,>q.Kl wxlkfhka ,shkak'

c) ysia;ekg .e<fmk w.h ,shkak'

i) 64 = 4 ii) 625 = 4 iii) log10 = 3

4)

a) 321 ka ⎟

⎠⎞

⎜⎝⎛ ÷

61

21

iq¿lr ms<s;=r ir,u wdldrfhka olajkak'

b) rEmfha ±lafjkafka ksjil bÈlr we;s c, gexlshls' th iïmQ¾Kfhka c,fhka msÍ we;' ^tys m;=," w÷re lr olajd we;'&

i) gexlsh m;=f,a j¾.M,h lSho@

ii) gexlsfha mßudj j,ska fidhkak'

iii) tys Odß;dj fldmuKo@

iv) tu ksjfia ffoksl c, mßfNdackh la kï" gexlsfha uq¿ c, mßudj Èk lShlg iEfyao@ 2m

1m

2m

5)

a)

i) iq¿ lrkak'

( )( )5x3x −+ 1811yy2 +−ii) idOl fjka lrkak'

b) fuu iu.dó iólrK hq.,h úi\" yd ys w.h fidhkak'

72n3m52nm=+=−

6) ljlgqj yd ir, odrh muKla Ndú;d lr fuu ks¾udKh isÿ lrkak'

i) TU = 8cm f¾Ldj w¢kak'

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Page 6: Maths - Grade 9 · 2016. 4. 18. · Microsoft Word - Maths - Grade 9 Author: Chamith Created Date: 5/15/2014 4:09:10 PM

ii) tys yd jk mßÈ STU ;%sfldaKh ks¾udKh lrkak' 090UTS = 060SUT =iii) ST mdoh È. uek ,shkak'

iv) fha w.h lSho@ USTv) T yd U ,CIH j,g iuÿßka msysá m:h ks¾udKh lrkak'

vi) th SU mdoh fþokh lrk ,CIHh R f,i kï lrkak'

vii) SR ys È. uek ,shkak'

7)

a)

i) 2m yd 150cm w;r wkqmd;h ,shd" th ir,u wdldrfhka olajkak'

ii) my; ±lafjk wjia:d w;ßka wkqf,dau iudkqmd; jk wjia:d f;darkak'

(1) iy,a lsf,da.%Eï .Kk yd tys ñ,

(2) iup;=ri%hl me;a;l È. yd mßñ;sh

(3) hï ld¾hhl fhfok ñksiqka .Kk yd tu ld¾hh ksu lsÍug .;jk ld,h

(4) tlu j¾.fha inka leg .Kk yd tys nr

iii) h;=re meÈhla meh 4 l§ l ÿrla .uka lrhs' tu h;=re meÈh tu fõ.fhkau .uka l<fyd;a" meh 3 l§ .uka lrk ÿr .Kkh lrkak'

b)

cmdkfha msysá úYaj úμd,hl wOHdmk lghq;= i|yd hk .sydka ;ud f.k .sh re' 77"000$- l uqo, cmka fhka njg mßj¾;kh lr.;a Tyqg ,efnk uqo, cmka fhka lSho@

cmka fhka 1 = remsh,a 1'10

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