www.lkedu.lk
G. C. E. (O / L)
MATHS
PART I B MODEL PAPERS
50 MODEL PAPERS
250 QUESTIONS
Mr. A.S.M. Azmy Sir
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
01
3
2
gFjpapdu; rq;fPj ghlj;ijAk;> kPjpapd;
gFjpapdu;
5
3
eldg; ghlj;ijAk; njupT nra;jJld;> kPjkhd khztu;fs; rpj;jpug; ghlj;ijAk; njupT nra;jdu;
i. rq;fPjky;yhj ghlj;njhFjpiaj; njupT nra;j khztu;fspd; vz;zpf;ifia KO khztu;f
spd; gpd;dkhfj; jUf.
tFg;nghd;wpy; cs;s khztu;fSs;
ii.
eldg; ghlj;ijj; njupT nra;j khztu;fspd; vz;zpf;ifia KO khztu;fspd; gpd;dkhfj;
jUf.
iii. rpj;jpu ghlj;ijj; njupT nra;j khztu;fspd; vz;zpf;if 06 Ngu; vdpd; tFg;gpy; cs;s
khztu;fspd; nkhj;j vz;zpf;if ahJ ?
2
gFjpapdu; ngz; khztu;fs; vdpd; mt; ntz;
3
zpf;ifia KO khztu;fspd; rjtPjkhff; fhl;Lf.
iv. rq;fPjj;ijj; njupT nra;j khztu;fSs;
A
02.
20 m
F
14 m
E
D
i.
B
ghlrhiyj; Njhl;lj;jpNy mike;Js;s gapu;r;
nra;if epyk; ABCD vDk; nrt;tf tbtj;J
ld; AD I tpl;lkhf cila miu tl;l tbtp
Yk; fhzg;gLfpd;wJ.
C
miutl;lk; AED ,d; Miu ahJ ?
ii. EF Clhf ePu;f;Fohnahd;W Gijf;fg;gl;Ls;sJ ePu;f; Fohapd; Fiwe;jgl;r ePsj;ijf; fhz;f
iii. gapu;r; nra;if epyj;ijr; Rw;wp Ntyp mikf;fg;gl;Ls;sJ. mt;Ntypapd; ePsj;ijf; fhz;f.
iv. miutl;lg; gFjpapy; fPiu tif tsu;f;fg; gl;Ls;sJ. fPiu tsu;f;fg; gl;Ls;sJ. fPiu tsu;f;
fg;gl;Ls;s epyg;gFjpapd; gug;gsT ahJ ?
v. AED epyg;gug;gpd; 4 klq;F gug;gsTila nrt;tf tbthd epyg;gFjpnahd;W gapu;r;nra;if epy
j;Jld; Nru;f;f Ntz;b cs;sJ.mt;thW Nru;f;f Ntz;ba gFjpapd; xU vy;iy BC vdpd;
nrt;tf tbthd ABCD gFjpAld; Nru;f;f Ntz;ba epyg;gFjpia jug;gl;Ls;s cUtpy; tiuf
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 1
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03.a. cs;Suhl;rp kd;wnkhd;W nrhj;Jf;fSf;F mtw;wpd; ngWkjpapd; 8% I Mz;Ltupahf mwtpLfpdw
; J
tUlhe;jg; ngWkhdk; &gh 75 000 MfTs;s tPnlhd;wpw;F
i. tUlhe;jk; nrYj;jNtz;ba tupg;gzk; ahJ ?
ii.
fhyhz;bw;fhd tupj; njhifiaf; fhz;f.
b. tUlhe;j tUkhdj;jpy; Kjy; &gh500 000 ,w;F tuptyf;F toq;fg;gLfpdw
; J.mLj;j &gh500 000
,w;F tUlj;jpw;F 4% tUkhdtup mwtplg;gLfpd;wJ.
i. &gh 750 000 I tUl tUkhdkhfg; ngWk; xUtu; tUlj;jpw;Fr; nrYj;jNtz;ba tUkhd
tupiaf; fhz;f.
ii.
04.
tUlj;jpw;F tUkhd tupahf &gh 18 000 nrYj;Jk; xUtupd; tUl tUkhdj;ijf; fhz;f.
,uz;lhk; Kiw
1 njhlf;fk; 6 tiu ,yf;fkplg;gl;l Nfhlhj rJuKfpj;
jhaf;fl;ilnahd;W Nknywpag;gl;L tpOe;jJk; Nky;
Nky; Nehf;fp cs;s ,yf;fk; mtjhdpf;fg;gLfpdw
; J.
,uz;lhk; KiwAk; mt;thNw nra;J Nky;Nehf;fp cs;s
,yf;fk; mtjhdpf;fg;gLfpd;wJ.
6
5
4
3
2
i. khjpup ntspia jug;gl;Ls;s tiugpy; Fwpj;Jf; fhl; Lf
1
gpd;tUtdtw;wpd; epfo;jfitf; fhz;f.
1
2
3
4
5
6 Kjyhk; Kiw
ii. Kjyhk; Kiw ngWk; ,yf;fk; 3 ,d; klq;fhf mikjy;
iii. ,U KiwfspYk; ngWk; ,yf;fk; Kjd;ik vz;fshf ,Uj;jy;
iv. NkNyAs;s ii, iii ,y; Fwpf;fg;gl;Ls;s epfo;r;rpfspy; jk;Ks; GwePf;Fk; vy;yh NrhbfisAk;
vOjpf; fhl;Lf.
b. ngl;bnahd;wpDs; mstpYk; tbtpYk; xNu khjpupahd rptg;G epw ml;ilfs; 5 ck; ePy epw ml;ilfs;
3 ck; cs;sd. ngl;bapDs; ,Ue;J vOkhwhf xU ml;il vLf;fg;gl;L epwk; Fwpf;fg;gl;l gpd;du;
kPz;Lk; ngl;bapDs; ,lg;gl;L kw;WnkhU ml;il vLf;fg;gLfpd;wJ.
i. ,e; epfo;r;rpf;Fwpa G+uzg;gLj;jg;glhj kutupg;glk; fPNo jug;gl;Ls;sJ. mjidg; G+uzg;gLj;Jf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 2
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5
8
rptg;G
................
ePyk;
cupa epfo;jfTfis Fwpj;jYld; ,uz;lhtJ epfo;r;rpiaAk; cs;slf;Fk; tifapy; kutupg;
glj;ij tpupthf;Ff.
iii. ,U KiwfspYk; ePy epw ml;ilfisg; ngWtjw;fhd epfo;jfTfisf; fhz;f.
ii.
05.
ghy;
NjdPu;
Nfhgp
Fspu;
ghdk;
khztu; FOnthd;W jj;jkJ mjpf tpUg;Gld; mUe;Jk; ghd
tif rk;ge;jkhd Ma;nthd;wpd; NghJ ngwg;gl;l Kbtpd;
mbg;gilapy; tiuag;gl;l tl;l tiuG jug;gl;Ls;sJ.
i. NjdPu; tpUg;gKilNahiu tif Fwpf;Fk; Miur; rpiwf;
Nfhzj;jpd; gUkd; ahJ ?
ii. Nfhgp> Fspu;ghdk;> ghy; Mfpatw;iw mUe;Jk; khztu;fSf;fpilNa KiwNa cs;s tpfpjk;
1 : 2 : 3 vdpd;> fPNo jug;gl;Ls;s ml;ltiziag; G+uzg;gLj;Jf.
ghdtif
Nfhgp
Miur; rpiwfspd; Nfhzq;fspd; gUkd;
Fspu;ghdk;
ghy;
iii. Nfhgp mUe;Jk; khztu;fspd; vz;zpf;if 5 vdpd; nkhj;j khztu;fspd; vz;zpf;ifiaf;
fhz;f.
iv. ghy; mUe;Jgtu;fspd; vz;zpf;if khztu;fspd; FOtpd; vz;zpf;ifapd; rjtPjkhfj;
jUf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 3
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.a. RUf;Ff.
2
1
3
÷(
2
4
02
1
)
8
2
I Kjy; ehspYk; ,uz;lhk;
5
ehspy; 3 tpdhf;fSf;Fk; tpil vOjpdhs;. ,uz;lhk; ehspd; Kbtpy; tpdhj;jhspd; miuthrpf;F
tpil vOjg;gl;bUe;jJ.
i. Kjy; ehspy; tpil vOjpa gpd; vQ;rpa tpdhf;fis nkhj;j tpdhf;fspd; gpd;dkhf vOjf.
b. up];fhtpw;F Mrpupau; toq;fpa tpdhj;jhspy; ,Ue;j tpdhf;fspy;
ii.
,uz;lhk; ehspy; tpil vOjpa tpdhf;fspd; vz;zpf;if nkhj;j tpdhf;fspd; vz;zpf;ifapd;
vd;d gpd;dkhFk;?
iii. %d;whk; ehs; KbTWk; NghJ 24 tpdhf;fSf;F tpil vOjg;gl;bUe;jhy; up];fhtpw;F tpil
vOj NkYk; nkhj;j tpdhf;fspy; vd;d gq;F vQ;rpAs;sJ ?
02.a.
Mq;fpy fofk;
ng3
ghlrhiyapd; tpQ;Qhdf; fofj;jpdJk; Mq;fpyf;
fofj;jpdJk; jiytu; gjtpfSf;F ,U Mz;
gps;isfSk; %d;W ngz; gps;isfSk; Nghl;bapl;ldu;
ng2
,U fofq;fspdJk; jiytu; njuptpw;fhd khjpup
ntspia jug;gl;Ls;s nea;aupapy; Fwpj;Jf; fhl;Lf
ii. tpQ;Qhdf; fofj;jpd; jiytuhf xU Mz;
gps;isAk; Mq;fpyf; fofj; jiytuhf xU
ngz; gps;isAk; njupT nra;ag;gLtjw;fhd
epfo;jfitf; fhz;f.
i.
ng1
m2
m1
m1
m2
ng1
ng2
ng3
tpQ;Qhd fofk;
iii. xNu khztd; ,U gjtpfSf;Fk; njupT nra;ag;gLtjw;fhd epfo;jfitf; fhz;f.
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Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 4
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b. tpQ;Qhdf; fofj;jpd; jiytu; njuptpw;fhd kutupg;glk; fPNo jug;gl;Ls;sJ.
i. mjd; ,ilntspfis epug;gp Mq;fpyf; fofj;jpd; jiytu; njupitf; fhl;LkhW kutupg;glj;ij
tpupT gLj;Jf.
tpQ;Qhd fofk;
2
Mz;
5
.............
ngz;
ii. xU fofj;jpNyDk; jiytuhf xU ngz;gps;is njupT nra;ag;gLtjw;fhd epfo;jfitf; fhz;f
03.a. ghlrhiynahd;wpd; kjpnyhd;iwf; fl;Ltjw;F 8 NgUf;F 7 ehl;fs; Njit.kjpy; fl;lj; njhlf;fp
,U ehl;fspd; gpd; ,uz;L Ngu; Ntiyf;F tutpy;iy. vQ;rpNahu; NkYk; 2 ehl;fs; Ntiy nra;j
gpd; ghlrhiyapy; mtru tpohnthd;W fhuzkhf cupa jpdj;jpw;F xU ehs; Kd;djhf Ntiyia
Kbf;FkhW mjpgu; Ntz;bf; nfhz;lhu;.
i. kjpy; fl;Lk; Ntiy vj;jid kdpj ehl;fshFk;?
ii. kjpy; fl;Lk; Ntiy Muk;gkhfp ,U ehl;fs; Kbtpy; vQ;rpa Ntiy vj;jid kdpj ehl;fshFk;
iii. ghlrhiyapd; NjitfUjp Kd;djhf kjpy; Ntiyia epiwTnra;tjw;F Nkyjpfkhf vj;jid
kdpju;fis <LgLj;j Ntz;Lnkdf; fhz;f.
b. &gh 2 800 ngWkjpahd fbfhunkhd;iw ,wf;Fkjp nra;Ak; NghJ 30% jPu;it nrYj;j NtzLk;
jPu;it nrYj;jpa gpd; fbfhuj;jpd; ngWkjpiaf; fhz;f.
14 cm
04. A
nky;ypa nrt;tf tbtj; jfnlhd;wpypUe;J epow;wg;gl;l gpuNjrq;fs;
ntl;b mfw;wg;gl;L Mf;fg;gl;l epidTr; rpd;dnkhd;wpd; tbtk;
ABCDE ,dhy; fhl;lg;gl;Ls;sJ.
Q
P
B
C
i.
ntl;b mfw;wg;gl;l P vDk; miutl;lg; gFjpapd; tpy;ypd; ePsj;
ijf; fhz;f.
ii.
P vDk; miutl;lg; gFjpapd; gug;gsitf; fhz;f.
E
D
iii. epidTr; rpd;dj;jpd; ABE gFjpf;F nrk;G Kyhkplg;gl;Ls;sJ. Q vDk; epow;wg;gl;l gFjpapd;
gug;gsT 42 cm2 vdpd; nrk;G Kyhkpl;l Nkw;gug;gpd; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 5
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iv. epidTr; rpd;dj;jpd; gug;gsT 245 cm2 vdpd; epidTr; rpd;dj;jpd; KO cauj;ijf; fhz;f.
05.
E}yf E}y;
nfhs;tdT fzpdpf;
nfhs;tdT
600
1500
fl;bl Gdu;
epu;khdk;
ii.
jsghlj;
jpUj;jk;
epWtdnkhd;W ghlrhiyf;F md;gspg;ghf toq;fpa gzj;
njhifia nryT nra;aj; jpl;lkpl;l tpjk; tl;l tiugpy;
fhl;lg;gl;Ls;sJ.
i. jsghlj; jpUj;jj;jpw;fhd gzj;ijf; Fwpf;Fk; Miur;
rpiwapd; Nfhzj;jpd; gUkidf; fhz;f.
fzpdpf; nfhs;tdtpw;fhd xJf;fpa gzk; &gh 60 000 vdpd; md;gspg;ghff; fpilj;j njhif
iaf; fhz;f.
iii. jsghlj; jpUj;jj;jpw;F xJf;fpa gzk; Nghjhikahy; mjw;F xU ngw;whu; Nkyjpfkhf Ugh
10 000 md;gspg;Gr; nra;jhu;. Gjpa md;gspg;Gj; njhifAk; cs;slq;fshf nkhj;j md;gspg;Gj;
njhifiaf; fUj;jpw;nfhz;L Gjpjhf tiuAk; tl;ltiugpy; jsghlj; jpUj;jj;jpw;Fupa
Miur;rpiwf; Nfhzj;jpd; gUkidf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 6
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
03
3
2
gq;if Kjy; ehSk;> kPjpapd;
gq;if ,uz;lhk; ehSk;
8
5
vQ;rpa gFjpia %d;whk; ehSk; thrpj;J Kbj;jhd;. %d;whk; ehs; ,uz;lhk; ehistpl 20 gf;fq;
fs; $Ljyhf thrpj;jhd;.
i. Kjy; ehs; thrpj;j gpd; kPjpahf cs;s gf;fq;fs; nkhj;j gf;fq;fspd; vz;zpf;ifapd; vd;d
gpd;dkhFk; ?
khztd; xUtd; Gj;jfk; xd;wpd;
ii.
,uz;lhk; ehs; thrpj;j gf;fq;fspd; vz;zpf;if> nkhj;j gf;fq;fspd; vz;zpf;ifapd; vd;d
gpd;dkhFk; ?
iii. %d;whk; ehs; thrpj;j gf;fq;fspd; vz;zpf;if> nkhj;jg; gf;fq;fspd; vz;zpf;ifapd; vd;d
gpd;dkhFk; ?
iv. Gj;jfj;jpy; cs;s nkhj;jg; gf;fq;fspd; vz;zpf;ifiaf; fhz;f.
rJuk; xd;Wk; > Miur;rpiwfs; ,uz;Lk; nfhz;L
nfhz;L jahupf;fg;gl;l miog;gpjo; xd;W cUtpy;
fhl;lg;gl;Ls;sJ.
i. rJuj;jpd; xU gf;f ePsk; ahJ ?
02.
7 cm
ii.
450
450
miog;gpjopd; Rw;wsitf; fhz;f.
7 cm
iii. ,uz;L Miur;rpiwfspdJk; gug;gsitf; fhz;f
iv. ,uz;L Miur;rpiwfspd; gug;gsth? rJuj;jpd; gug;gsth? $baJ
v.
NkNy tpdh ( iv ) ,y; vt;tsthy; $baJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 7
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03.a. xUtupd; tUl tUkhdj;jpy; Kjy; &gh 500 000 ,w;F tup tpyf;F toq;fg;gl;Ls;sJ. mjw;F
Nkyjpfkhd tUkhdj;jpw;F 15% tup mwtplg;gLk;. &gh 750 000 tUl tUkhdk; ngWk; xUtu;
nrYj;j Ntz;ba tupiaf; fhz;f.
b. ,wf;Fkjp nra;ag;gl;l fbfhuk; xd;wpw;F 20% tup jPu;itahfr; nrYj;jg;gly; Ntz;Lk;. jPu;it
tup nrYj;jpa gpd; fbfhuj;jpd; ngWkjp &gh 9 600 vdpd; tup nrYj;jKd; fbfhuj;jpd; ngWkjp
ahJ ?
c. Mz;Lg; ngWkhdk; &gh 80 000 MfTs;s tPL xd;wpw;F fhyhz;L tupahf &gh 1 000 mwtplg;gL
fpd;wJ.
i. mwtplg;gLk; Xuhz;L tup vt;tsT ?
ii.
mwtplg;gLk; Mz;L tupr;rjtPjk; ahJ ?
04.
NtW
tif
ii.
mg;gk;
NrhW
600
RUs;
mg;gk;
ghz;
ghlrhiy xd;wpd; rpw;Wz;br;rhiyapy; Fwpj;j ehspy; fhiy
cztpw;fhf xt;nthU czitAk; ngw;w khztu;fspd;
vz;zpf;ifgw;wpa jfty; tl;l tiugpy; fhl;lg;gl;Ls;sJ.
i. mg;gk; rhg;gpl;l khztu; vz;zpf;ifapd; ,uz;L klq;fpdu;
NrhW rhg;gpl;ldu;. vdpd; NrhW rhg;gpl;l khztiu tif
Fwpf;Fk; Miur;rpiwf;Nfhzj;jpd; ngWkhdk; ahJ ?
mg;gk; rhg;gpl;l khztu; vz;zpf;if 8 vdpd; mr;rpw;Wz;br;rhiyapy; fhiy czT cz;l
nkhj;j khztu; vz;zpf;if ahJ ?
iii. NtW tif czit cl;nfhz;l khztu; vz;zpf;if 4 MFk;. ,U ntt;NtW czit
cl;nfhz;l khztu; vz;zpf;iffs; rkd; vdpd;> ,it vt; czT tiffs; MFk; ?
iv. ghid tpl Nkyjpfkhf vj;jid khztu; NrhW cz;ldu; ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 8
05.
www.lkedu.lk
ξ = { 1 ,w;Fk; 10 ,w;Fk; ,ilg;gl;l KO vz;fs; }
A = { 1 ,w;Fk; 10 ,w;Fk; ,ilg;gl;l Nru;j;jp vz;fs; }
vd;Dk; njhilfSk; B vd;w njhilAk; G+uzg;gLj;jg;glhj ntd;cUtpy; jug;gl;Ls;sd.
ξ
2
6
4
A
B
9
8
7
i.
njhil B I nrhw;fspy; tpgupj;J Kiwapy; vOJf.
ii.
njhil A U B I %yfq;fspd; gl;baw;gLj;jyhf vOJf.
iii. ( A U B ) l vDk; njhilapd; vQ;rpa %yfq;fis ntd;DUtpy; FwpjJ
; f; fhl;Lf.
iv. ( A ∩ B ) l ∩ A vDk; njhilapd; gpuNjrj;ij ntd;DUtpy; epow;wpf; fhl;Lf.
v.
ξ = { 1 njhlf;fk; 10 ,w;F ,ilg;gl;l KO vz;fs; }
B = { 1 njhlf;fk; 10 ,w;F ,ilg;gl;l rJu vz;fs; }
Mapd; ntd;tupg;glk; khw;wkilAk; tpjj;ij tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 9
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.a. Ruh[; jdJ Mf];l; khj rk;gsj;jpy;
04
7
I gy;NtW NjitfSf;fhf nryT nra;jNjhL kPjpia
9
tq;fpapy; itg;Gr; nra;fpwhu;.
i. mtu; tq;fpapy; itg;Gr; nra;j njhif &gh 4 000 vdpd;> mtuJ khjr; rk;gsk; vt;tsT ?
ii.
2
I jdJ fy;tp eltbf;iffSf;fhf nryT nra;jpUe;jhu;
7
vdpd;> fy;tpf;fhf nryT nra;j njhifiaf; fhz;f.
nryT nra;j njhifapy;
b. nrg;lk;gu; khjj;jpy; fy;tpr; nryTfs; mjpfupj;j fhuzj;jpdhy; nryTfSf;Fk; Nrkpg;Gf;Fk;
,ilapyhd tpfpjk; 8 : 1 Mf khw;wkile;jJ.
i. nryTfSf;fhf Ruh[; xJf;fpa Gjpa njhif ahJ ?
ii.
mt;thW mjpfupj;j Njhifia fy;tpf;fhf nryT nra;jpUe;jhy; fy;tpf;fhf nrytpLk; Gjpa
njhif ahJ ?
iii. fy;tpf;fhf jw;NghJ nryT nra;Ak; njhif mtuJ khjr; rk;gsj;jpy;
02.
D
C
G
18 m
A
ii.
14 m
B
8m
E
1
MFk;.vdf; fhl;Lf
3
ABCD vd;gJ filj; njhFjp xd;wpd; epy mikg;gpd;
tiu glkhFk;. BEFG vd;gJ thfdj; jupg;gplj;jpw;
Fupa epyg; gFjpahFk;. epow;wg;gl;l epyg; gFjp GFC
F
MdJ xU rpWtu; G+q;fhthFk;. ,J njhlu;ghd
mstPLfSld; $ba gUkl;lhd cU mUNf jug;gl;L
12 m s;sJ.
i. filj; njhFjpf;Fupa epyg;gFjpahd ABCD ,d;
gug;gsitf; fhz;f.
rpWtu; G+q;fhtpd; Rw;wsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 10
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iii. thfdj; jupg;glkhfpa epyg; gFjp BEFG ,w;F 50 cm x 50 cm msTs;s jiuNahLfis
gjpg;gjw;F cj;Njrpf;fg;gl;Ls;sJ. ,jw;Fj; Njitahd jiuNahLfspd; vz;zpf;ifiaf;
fhz;f.
iv. thfdj; jupg;gplj;jpw;F Njitahd jiuNahLfis thq;Ftjw;F xJf;fg;gl;l gzk;
&gh 230 400 vdpd; xU jiuNahl;bd; tpiyiaf; fhz;f.
03.a. tay; xd;wpy; new;fjpu;fs; ntl;Ltjw;fhf 8 kdpju;fSf;F 9 ehl;fs; Njitg;gLfpd;wJ.
i. nkhj;j Ntiyapd; msT vj;jid kdpj ehl;fs; ?
ii.
8 kdpju;fs; 4 ehl;fs; Ntiy nra;j gpd; vQ;rpa Ntiyapd; msT vj;jid kdpj ehl;fs; ?
iii. 4 ehl;fspd; gpd; 3 kdpju;fs; tpyfpr; nrd;wdu; vdpd;> new; fjpu;fis ntl;b Kbg;gjw;F
Vw;fdNt jpl;lk;lg;gl;bUe;j ehl;fSf;F Nkyjpfkhf vj;jid ehl;fs; Njit ?
b. 60 kmh – 1 fjpapy; gazk; nra;Ak; thfdnkhd;W Fwpj;j xU gazj;ij nry;tjw;F 2 kzpj;jpah
yq;fSk; 30 epkplq;fSk; vLj;jJ.
i. gazj;jpd; KOj; J}uj;ijf; fhz;f.
ii.
jpUk;gp tUk; gazj;jpd; NghJ Muk;g 120 km I 40 kmh – 1 fjpapYk; kPjpj; J}uj;ij
60 kmh – 1 fjpapYk; gazk; nra;ag;gl;lJ vdpd>; jpUk;gp tUk; gazj;jpw;F vLj;j fhyj;ijf;
fhz;f.
04.
MAs;
ePNuhfh
600
200
ngwh thrdh
jtu;
fs;
i.
fhg;GWjp epWtdnkhd;W rhjhuz Mal; fhg;GWjpf;F Nkyjpfkhf
ePNuhfh kw;Wk; thrdh vd;w ngau;fspy; Gjpa fhg;gWjp tiffs;
,uz;ilAk; mwpKfg;gLj;jpaJ.
Milj; njhopw;rhiy xd;wpd; gzpahsu;fs; ,k; %d;W tifahd
fhg;GWjpfis ngw;Wf;nfhz;lJ njhlu;ghd jfty;fs; mUfpY
s;s tl;l tiugpy; ghl;lg;gl;Ls;sJ.
rhjhuz Mal; fhg;gWjp ngw;Wf;nfhz;ltu;fisf; fhl;Lk; Nfhzj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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ii. rhjhuz Mal; fhg;GWjpia ngw;Wf;nfhz;ltu;fspd; vz;zpf;if 380 vdpd;> ,t; Milj;
njhopw;rhiyapy; gzpGupAk; nkhj;jg; gzpahsu;fspd; vz;zpf;ifiaf; fhz;f.
iii. ePNuhfh fhg;GWjpia ngw;Wf; nfhz;ltu;fs; vj;jid Ngu; ?
iv. fhg;GWjp vjidAk; ngwhjtu;fs; vj;jid Ngu; ?
v. fhg;GWjp ngw;Wf; nfhz;ltu;fSf;Fk; ngw;Wf; nfhs;shjtu;fSf;Fk; ,ilapyhd tpfpjj;ijf;
fz;L mjid vspa tbtpy; jUf.
05.
nlhgp
nrhf;sl;
mUNf fhl;lg;gl;lthW ngl;b A ,y; xNu msTk;
rptg;G 03
nts;is 01
tbtKk; nfhz;l nlhgpfs; 5 ck; ngl;b B ,y;
gr;ir 02
fgpy epwk; 02
xNu msTk; tbtKk; nfhz;l nrhf;sl;Lfs; 03
A
B
ck; cs;sd.
,kh\h vOkhwhf ngl;b A ,y; ,Ue;J xU nlhgpiaAk; ngl;b B ,y; ,Ue;J xU nrhf;sl;il
Ak; vLf;fpwhs;. NkNy Fwpg;gl;l epfo;r;rpfSf;Fupa G+uzkw;w kutupg;glnkhd;W fPNo jug;gl;Ls;sJ
nlhgpia vLj;jy;
3
5
.................
nrhf;yl;il vLj;jy;
NgWfs;
epfo;jfT
3
( rptg;G> nts;is )
X .................
5
.................
nts;is
.................
fgpy epwk; ........................
..................
.................
.................. ................................
..........................
.................
...................
rptg;G
gr;ir
................................. .........................
i.
NkNy cs;s kutupg;glj;jpy; fhzg;gLk; ntw;wplq;fis epug;Gf.
ii.
,kh\hTf;F gr;ir epw nlhgp xd;NwhL fgpy epw nrhf;sl; xd;Wk; fpilf;ff; $ba epfo;j
fitf; fhz;f.
iii. gr;ir epw nlhgp xd;NwhL ve;jnthU epwj;ijAk; cila nrhf;sl; xd;W fpilf;Fk;
epfo;jfT ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
01.
khztd; xUtd; Gj;jfnkhd;wpd;
1
gq;fpid Kjy; ehspYk;
3
05
1
gq;fpid ,uz;lhk; ehspYk;
4
3
gq;fpid %d;whk; ehspYk; thrpj;jhd;. kPjpahd gf;fq;fis ehd;fhk; ehspYk; thrpj;J
5
Kbj;jhd;.
i. Kjy; ,U ehl;fspYk; thrpj;j gf;fq;fspd; vz;zpf;if KOtjd; vd;d gpd;dkhFk;.
kPjpapd;
ii.
,uz;L ehl;fspd; gpd; vQ;rpAs;s gf;fq;fspd; vz;zpf;ifia> nkhj;jg; gf;fq;fspd;
gpd;dkhf vOJf.
iii. %d;whk; ehs; thrpj;j gf;fq;fspd; vz;zpf;ifia> nkhj;j gf;fq;fspd; gpd;dkhf vOJf.
iv. ehd;fhk; ehs; thrpj;j gf;fq;fspd; vz;zpf;if 60 vdpd;> mg;Gj;jfj;jpYs;s nkhj;jg;
gf;fq;fspd; vz;zpf;ifiaf; fhz;f.
02.
i.
10 kdpju;fs; xU Ntiyia 12 ehl;fspy; nra;J Kbg;gu;. ,t;Ntiyapd; msT vj;jid
kdpj ehl;fs; ?
ii.
xU kdpj ehSf;fhd $yp &gh 800 vdpd;> ,t;Ntiyf;fhd $ypiaf; fhz;f.
iii. ,t;Ntiyiag; Nghy; %d;W klq;F Ntiyia>
a. 15 kdpju;fs; vj;jid ehl;fspy; Kbg;gu;.
b.
18 ehl;fspy; nra;J Kbf;f Ntz;Lnkdpd; vj;jid kdpju;fis <LgLj;j Ntz;Lk; ?
c.
xU kdpj ehl; $yp 25% ,dhy; mjpfupf;fg;gbd; ,t; Ntiyiar; nra;J Kbf;fj;
Njitahd Nkyjpf gzj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 13
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www.teachmore.lk
03.
7 cm
450
7 cm
450
cUtpy; fhl;lg;gLtJ thapy; fjnthd;wpy; ,izg;gjw;Fr;
fk;gpapdhy; mikf;fg;gl;l ehd;F xNu msthd Miur;
rpiwfisf; nfhz;l xU mikg;ghFk;.
450
450
i.
xU Miur;rpiwapd; tpy;ypd; ePsj;ijf; fhz;f.
7 cm
7 cm
ii.
,t; mikg;igj; jahupg;gjw;Fg; gad;gLj;jpa fk;gpapd; ePsj;ijf; fhz;f.
iii. xt;nthU Miur;rpiwiaAk; mNj msthd Miur;rpiwj;jfl;bdhy; mikf;fg;gLfpd;wJ.
vy;yh Miur;rpiwfSk; ,t;thW milf;fg;gLtjw;F 98 cm2 gug;gsT nfhz;l jfl;bypUe;J
Miur;rpiwfs; ntl;b vLf;fg;gLfpd;wJ. Njitahd gFjp ntl;b vLf;fg;gl;l gpd; vQ;rpa
jfl;bd; gug;gsT vt;tsT ?
04.a. ξ = { 1 , 2 , 3 , 4 , 5 , 6 } , A = { 2 , 4 } , B = { 3 , 4 , 5 } vdpd; gpd;tUk; njhilfis vOJf
i.
Al , Bl
ii.
A l ∩ B l , ( A U B ) l vd;gtw;iwf; fz;L mtw;wpypUe;J vd;d KbTf;F tUtPu; ?
b. xU tpUe;Jf;F te;jpUe;j 30 Ngupy; 18 Ngu; Fspu;ghdk; mUe;jpdu;. 14 Ngu; til cz;ldu;.
til cz;l midtUk; Fspu;ghdk; mUe;jpdu; vdpd;>
i. ,j;jfty;fis ntd;DU xd;iw tiue;J> mjpy; Fwpj;Jf; fhl;Lf.
ii.
Fspu;ghdk; khj;jpuk; mUe;jpNdhu; vj;jid Ngu; ?
iii. Fspu;ghdk; mUe;jhj midtUf;Fk; NjdPu; toq;fg;gl;lnjdpd; tpUe;jpw;F te;Njhupy; vd;d
gq;fpdu; NjdPu; mUe;jpdu; ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 14
05.
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1
1
gq;fpid czTf;Fk;
gq;fpid cilf;Fk; kPjpg;gzj;jpid
2
3
fy;tp kw;Wk; Vida nryTfSf;Fk; Ntwhf;fpdhu;.
i. ,j;jfty;fis tl;ltiunghd;wpy; fhl;Lf.
xUtu; jdJ khjr; rk;gsj;jpd;
ii.
fy;tp kw;Wk; Vida nryTfSf;F Ntwhf;fpa gzj;ijf; Fwpf;Fk; Miur;rpiwapd; Nfhzk;
vt;tsT ?
iii. Vida nryTfSf;F Ntwhf;fpa gzk;> fy;tpf;F Ntwhf;fpa gzj;jpd; ,uz;L klq;F vdpd>;
tl;l tiugpy; fy;tpf;F Ntwhf;fpa gzj;jpd; Miur;rpiwia tiutjw;F mt; Miur;rpiwapd;
Nfhzj;ijf; fhz;f.
iv. Vida nryTfSf;F Ntwhf;fpa gzk; &gh 3 000 vdpd;> mtuJ khjr; rk;gsk; vt;tsT ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 15
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MATHS MODEL PAPER
PART – I B
01.a. RUf;Ff.
i.
3
1
2
+
x
5
5
3
ii.
b. gpwe;j ehsd;W fpilj;j kpl;lha;g; nghjpapd;
2
1
,d;
2
06
3
5
3
I cz;l mkhah kPjpapd;
8
÷
3
8
2
Ig; je;ijf;Fk;
5
vQ;rpaij mk;khTf;Fk; nfhLj;jhs;.
i. je;ijf;F fpilj;j kpl;lha;fspd; msT nghjpapypUe;j nkhj;j kpl;lha;fspd; gpd;dkhf jUf.
ii.
mk;khTf;F 6 kpl;lha;fs; fpilj;jnjdpd;> nghjpapypUe;j kpl;lha;fspd; vz;zpf;ifiaf;
fhz;f.
02.
cUtpYs;sthW ABCD vDk; nrt;tf tbt epynkhd;wpd;
ntspg;Gwkhf miutl;l tbt ePu;j;jlhfk; xd;Ws;sJ.
i. miutl;l tbtj; jlhfj;jpd; Miuiaf; fhz;f.
E
D
C
ii.
jlhfj;Jldhd tptrha epyj;jpd; Rw;wsitf; fhz;f.
21 m
A
28 m
B
iii. ePu;j; jlhfj;jpd; gug;gsitf; fhz;f.
iv. tptrha epyg;gFjp rJutbitg; ngWkhWk; ePu;j;jlhfk; tptrhaepyj;jpd; cs;Ns mikAkhWk;
ty;yhiw gapupLtjw;F Gjpjhf xU epyg;gFjp ,izj;Jf; nfhs;sg;gLfpwJ. mjid NkYs;
s cUtpy; tiue;J fhl;Lf.
v. ty;yhiu gapupl cj;Njrpf;fg;gl;Ls;s epyg;gFjpapd; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 16
03.
www.lkedu.lk
jpU thrfd; mtu;fs; Nriy jahupf;Fk; njhopnyhd;iw Muk;gpg;gjw;fhf tUlj;jpw;F 12% vspa
tl;bf;F xU tUl Kbtpy; nrYj;jp Kbg;gjw;F &gh 500 000 I epjp epWtdnkhd;wpypUe;J
fldhfg; ngw;whu;.
i. tUl ,Wjpapy; nrYj;j Ntz;ba tl;biaf; fzpf;f.
Nriynahd;wpd; cw;gj;jp tpiy &gh 2 400 MFk;. tpw;gidapd; NghJ cw;gj;jp tpiyapd;
50% ,yhgk; ngWkhW Fwpf;f Ntz;ba tpiyiaf; fhz;f.
ii.
iii. tpw;gidapd;NghJ Fwpj;j tpiyapypUe;J &gh 180 fopT toq;fg;gLnkdpd; fopTr; rjtPjj;ij
fhz;f.
iv. Nriy xd;iw tpw;gidnra;Ak;NghJ fpilf;Fk; ,yhgk; ahJ ?
Kjy; tUlj;jpy; 1000 Nriyfs; cw;gj;jp nra;ag;gl;L Nkw;$wpa epge;jidapy; tpw;fg;gl;lhy;
flidr; nrYj;jpa gpd; mtuplk; vQ;Rk; njhifiaf; fhz; f.
v.
04.a. tpQ;Qhdg; ghlg; guPl;ir
Ie;J ehl;fSk; ghlrhiy eilngWk; thunkhd;wpy;
fzpjk; kw;Wk; tpQ;Qhd ghlq;fspy; khjhe;jg; guPl;ir
eilngWtJ njhlu;ghd khjpupntspapd; epfo;Tfis
Fwpg;gjw;fhd nea;aup mUNf jug;gl;Ls;sJ.
i. khjpup ntspapd; epfo;Tfis nea;aupapy; Fwpf;f.
ii. xNu ehspy; ,U guPl;irfSk; eilngWtjw;fhd
epfo;jfitf; fhz;f.
nt
tp
G
nr
jp
jp
nr
G
tp nt
fzpjg; ghlg; guPl;ir
iii. fzpjg; guPl;iria Gjd; fpoikAk; tpQ;Qhdg; guPl;
iria mjw;Fg; gpe;jpa ehnshd;wpYk; elj;Jtjw;fhd
epfo;r;rpia nea;aupapy; fl;lkpl;Lf; fhl;b mjw;fhd epfo;jfitf; fhz;f.
b. Gjd; fpoik fzpjg; guPl;iria elj;Jtjw;Fk; thuj;jpd; NtW xU ehspy; tpQ;Qhdg;guPl;iria
elj;Jtjw;Fk; mikthd kutupg;glk; fPNo jug;gl;Ls;sJ.
i. kutupg;glj;jpd; ntw;wplj;ij epug;Gf.
ii. Gjd;fpoik fzpjg;guPl;iria elj;jTk; NtW xU ehspy; tpQ;Qhdg; guPl;iria elj;Jtjw;
Fkhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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fzpjk;
www.lkedu.lk
tpQ;Qhdk;
4
5
eilngWk;
eilngWk;
................
1
5
................
eilngwhJ
4
5
eilngwhJ
1
5
05.
Njhil
72
md;dhrp
ii.
khk;
gok;
nfh
0 a;ah
tpshk;
gok;
eilngWk;
eilngwhJ
go tpw;gid epiyankhd;wpy; Fwpj;j xU jpdj;jpy; tpw;gidf;F
itf;fg;gl;bUe;j goq;fs; njhlu;ghd juT cs;slq;fpa
tl;ltiuG ,q;F fhl;lg;gl;Ls;sJ.
1
i. nkhj;jg; goq;fspy;
Njhil vdpd;> mjw;fhd Miur;
3
rpiwapd; Miur;rpiwf; Nfhzj;ijf; fhz;f.
,j;jpdj;jpy; 288 nfha;ahg;goq;fs; tpw;gidf;F itf;fg;gl;bUe;jd vdpd;> nkhj;jg; goq;f
spd; vz;zpf;ifiaf; fhz;f.
iii. tpshk;goq;fspd; vz;zpf;if 192 ck; khk;goq;fspd; vz;zpf;if md;dhrpg;goq;fspd;
vz;zpf;iff;Fr; rkDk; vdpd>; md;iwa jpdk; tpw;gidf;F itf;fg;gl;bUe;j md;dhrpg;
goq;fspd; vz;zpf;ifiaf; fhz;f.
iv. ,j;jpdj;jpy; tpw;gidahd nkhj;jg; goq;fs; 360 vd;gjDld; mtw;Ws; 90 goq;fs; khk;goq;
fshFk;. vQ;rpa goq;fspd; vz;zpf;ifiaf; Fwpg;gjw;F tiua Ntz;ba tl;l tiugpy; khk;
goq;fspd; vz;zpf;ifia tiff;Fwpf;Fk; Miur; rpiwf; Nfhzj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 18
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MATHS MODEL PAPER
PART – I B
01.
07
1
1
gq;if jdJ kfDf;Fk;> vQ;rpa gzj;jpy;
gq;F tPjk;
5
4
jdJ ,U kfs;khUf;Fk; gfpu;e;J nfhLj;jhu;.
i. kfDf;Ff; nfhLj;jgpd; mtdplk; vQ;rpapUg;gJ KOg;gzj;jpd; vd;d gpd;dk; ?
xUtu; jd;dplKs;s gzj;jpd;
ii.
,U kfs;khUf;Fk; nfhLj;jJ KOg;gzj;jpd; vd;d gpd;dk; ?
iii. %d;W gps;isfSf;Fk; gfpu;e;J nfhLj;j gzk;> KOg;gzj;jpd; vd;d gpd;dk; ?
iv. %d;W gps;isfSf;Fk; toq;fpa gpd;> mtuplk; vQ;rpapUe;j gzk; &gh 68 000 vdpd; mtuplk;
Muk;gj;jpy; ,Ue;j gzk; vt;tsT ?
v. mtu; &gh 3 400 I rkaf; flikf;fhf xJf;fpdhu;. mt;thW xJf;fg;gl;l gzk; KOj;n jhif
apd; vd;d rjtPjkhFk; ?
C
02.
D
19 m
14 m
E
ii.
A
12 m
B
ABCD vd;gJ ehw;gf;fy; tbthd G+e;Njhl;lk; MFk;.
mjd; xU gf;fj;jpy; AED vd;Dk; fhy;tl;l tbt Fsk;
xd;Wk; mikf;fg;gl;Ls;sJ. juTfs; mUNf cs;s cUtpy;
fhl;lg;gl;Ls;sJ.
i. ehw;gf;fy; ABCD vDk; jstbtj;jpd; rpwg;Gg; ngau;
ahJ ?
,g;G+e;Njhl;lg; gFjpapd; gug;gsitf; fhz;f.
iii. Fsk; mikf;fg;gl;l gFjpapd; gug;gsitf; fhz;f.
iv. DC = 13 m vdpd; cUtpd; Rw;wsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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v. Fsk; mikf;fg;gl;l gFjpapd; gug;gstpw;Fr; rkkhf AE I xU gf;fkhff; nfhz;l nrt;tf
tbtg; G+e;Njhl;lk; mikf;f Ntz;Lk; vdpd; mr;nrt;tfj;ij msTfSld; cUtpy; tiue;J
fhl;Lf.
03.a. Fwpj;j Ntiy xd;iw nra;J Kbf;f 15 kdpju;fSf;F 12 ehl;fs; vLf;Fk;.
i. Fwpj;j Ntiyapd; msit kdpj ehl;fspy; fhz;f.
ii.
Fwpj;j Ntiyiar; nra;a Muk;gpj;J 4 ehl;fspd; gpd; 5 Ngu; Ntiyapy; ,Ue;J tpyfpr; nry;y
mtu;fSf;Fg; gjpyhf 2 Ngu; Ntiyapy; ,izf;fg;gl;ldu;. kPjp Ntiyiar; nra;J Kbf;fj;
Njitahd ehl;fs; vj;jid ?
iii. Ntiyiar; nra;J Kbf;fj; Njitahd Nkyjpfkhd ehl;fs; vj;jid ?
b. Mz;Lf;F 6% tup mwtpLk; gpuNjr rigf;F cl;gl;l tPl;bw;Ff; fhyhz;L kjpg;gPl;L tupahf
&gh 300 nrYj;jg;gLfpwJ.
i. Mz;L kjpg;gPl;L tupiaf; fhz;f.
ii.
04.
tPl;bd; Mz;Lg; ngWkhdk; ahJ ?
ξ = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }
A = { 1 ,w;Fk; 13 ,w;Fkpilg;gl;l 2 ,d; klq;Ffs; }
B = { 1 ,w;Fk; 13 ,w;Fkpilg;gl;l 3 ,d; klq;Ffs; }
i. njhilfs; A , B ia %yfq;fshf vOJf.
ii.
jug;gl;l ntd;tupg;glj;jpy; Nkw;gb %yfq;fisf; Fwpj;Jf; fhl;Lf.
B
A
iii. Nkw;gb ntd;tupg;glj;jpy; ( AUB )l
vDk; njhiliaf; fhl;Lk; gpuNjr
j;ij epow;Wf.
iv. Nkw;gb %yfq;fspy; ,Ue;J vOkhwhfj; njupT nra;ag;gLk; ,yf;fk; xd;W ,uz;bd; klq;fhf
,Ug;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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nkhj;jg; Gs;sp 50 ,w;fhd tpdhj;jhs; xd;wpw;F 24 khztu;fs; Njhw;wpdu;. mtu;fs; ngw;w
Gs;spfspd; tpguk; gpd;tUk; kPbwd; ml;ltizapy; fhl;lg;gl;Ls;sJ.
Gs;spfs;
khztu;fspd;
Miur;rpiwf; Nfhzj;jpd;
( tFg;ghapil )
vz;zpf;if ( kPbwd; )
msT
1 – 10
2
11 – 20
3
21 – 30
..........
31 – 40
8
41 – 50
4
450
i.
21 – 30 tFg;ghapilapy; cs;slf;fg;gLk; khztu; vz;zpf;ifiaf; fz;L ,ilntspia
epug;Gf.
ii.
$Ljyhd vz;zpf;ifahd khztu;fs; ngw;w Gs;sp ve;j tFg;ghapilf;F cupaJ ?
iii. $Ljyhd Gs;spfs; ngw;w 50% khztu;fis Ntwhf;f Ntz;Lk; vdpd; mjw;fhd ntl;Lg;
Gs;sp ahJ ?
iv. Nkw;gb jfty;fis tl;l tiugpy; fhl;Ltjw;F cupa Miur;rpiwf; Nfhzq;fisf; fz;L
Nkw;gb ml;ltizapy; cupa epuiyg; G+uzg;gLj;Jf.
v. ,j;jfty;fisf; fhl;lg; G+uzkw;w tl;ltiuG fPo; fhl;lg;gl;Ls;sJ. mjidg; G+uzg;gLj;Jf
11 – 20
450
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 21
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
01.
mkPu; jd;dplkpUe;j gzj;jpd;
2
I Nghf;Ftuj;jpw;Fk; kPjpapd;
5
08
1
I xU Gj;jfk; thq;Ftjw;Fk;
3
nryT nra;jhd;.
i. Nghf;Ftuj;jpw;F nryT nra;j gpd; mkPuplk; vQ;rpa gzk; mtdplk; Muk;gj;jpypUe;j gzj;jpd;
vd;d gpd;dk; ?
ii.
Gj;jfk; thq;f nryT nra;j gzj;ij KOg;gzj;jpd; gpd;dkhf vOJf.
iii. mtdplk; ,Wjpahf vQ;rpa gzk; &gh 70 vdpd; mtdplk; Muk;gj;jpypUe;j gzj;ijf; fhz;f
iv. Nghf;Ftuj;J> Gj;jfk; nfhs;tdT vd;gtw;Wf;F nra;j nryTfis jdpj;jdpNa fhz;f.
D
02. A
tpLjpnahd;wpd; Kd;dhy; cs;s Njhl;lk; cUtpy;
fhl;lg;gl;Ls;sJ. ABCD vd;Dk; nrt;tfg; gFjp
jlhfk; xd;whFk;. Vida gFjpapy; G+ kuq;fs;
elg;glTs;sJ.
i. tpy; DE ,d; ePsk; fhz;f.
1500
C
42 m
B
E
ii.
jlhfk; ABCD ,d; gug;gsT 2 100 m2 vdpd;> epsk; AD If; fhz;f.
iii. rkr;rPuhf Njhl;lk; cUthFkhW G+ elg;gl;Ls;s mNj gug;Gs;s xU gFjpia G+ tsu;g;gjw;F
AB xU vy;iyahf ,Uf;FkhW Nru;f;fj;jPu;khdpf;fg;gl;Ls;sJ. Nru;f;fg;glNtz;ba gFjpia
tiuf. E f;F rkr;rPuhd Gs;spia F vdf; Fwpj;J EF I ,izf;f.
iv. BCEF ,d; Nfj;jpufzpjg; ngaiuf; Fwpg;gpl;L> EF = 92 m vdpd; mjd; Rw;wsitf; fhz;f.
v.
G+ tsu;f;Fk; ,U gFjpfspdJk; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 22
www.lkedu.lk
cztfk; xd;wpw;F te;j 25 Ngu; gdp]{k;> 15 Ngu; tilAk;
cz;ldu;. 5 Ngu; Nff; cz;ldnudpDk; mtu;fs; gdpN]h
my;yJ tilNah cz;ztpy;iy. cztfj;jpw;F te;j
midtUk; Fiwe;jJ Nkw;Fwpg;gpl;l tw;Ws; xU tifia
NaDk; cz;ldu;.
i. ,j;jfty;fis jug;gl;Ls;s ntd;DUtpy; Fwpf;f.
03.
ii.
gdpN]h my;yJ tilNah cz;ltu;fspd; vz;zpf;if ahJ ?
iii. gdp]{k; tilAk; cz;Nlhu; vj;jid Ngu; ?
iv. xU tifia kl;Lk; cz;ltu;fspd; vz;zpf;if ahJ ?
v.
,tu;fSs; vOkhwhf njupag;gLk; xUtu; til kl;Lk; cz;ltuhtjw;fhd epfo;jfitf;
fhz;f.
04.a. kpd;Dgfuznkhd;iw ,e;ehl;bw;F ,wf;Fkjp nra;Ak; NghJ 40% jPu;it mwtplg;gLfpwJ.
i. &gh 18 000 ngWkjpahd kpd;Dgfuznkhd;wpw;Fr; nrYj;j Ntz;ba jPu;itiaf; fhz;f.
ii.
jPu;it nrYj;jpa gpd; kpd;Dgfuzj;jpd; ngWkjpiaf; fhz;f.
b. fhzpnahd;iwr; #o fhy;tha; mikg;gjw;F 6 kdpju;fSf;F 8 ehl;fs; Njit. 6 Ngu; Ntiyia
njhlq;fp 3 ehl;fspd; gpd; xUtu; RftPdk; fhuzkhf Ntiyf;F tutpy;iy.
i. fhy;tha; mikg;gjw;F nrythFk; kdpj ehl;fs; vj;jid ?
ii.
3 ehl;fSf;Fg; gpd; vQ;rpa Ntiy vj;jid kdpj ehl;fshFk; ?
iii. kPjp Ntiyia Kbg;gjw;F vQ;rpNahUf;F Nkyjpfkhf vj;jid ehl;fs; Njitg;gLk; ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 23
05.
www.lkedu.lk
Nghrz tpUe;njhd;wpw;fhf vLf;fg;gl;l czTg; nghjpfspd; vz;zpf;if fPNo jug;gl;Ls;sJ.
,iwr;rp - 25 nghjpfs;
>
kPd; - 30 nghjpfs;
>
Kl;il - 20 nghjpfs;
kuf;fwp - 15 nghjpfs;
i.
,j;jfty;fis tl;l tiunghd;wpy; fhl;Ltjw;F kPd; czTg; nghjpfSf;F xJf;f Ntz;ba
Miur;rpiwf; Nfhzj;jpd; gUkidf; fhz;f.
ii.
NkYs;s jfty;fis tl;l tiunghd;wpy; fhl;Lf.
iii. md;iwa jpdk; tpUe;jpw;F 10 Ngu; r%fkspf;fhikahy; 10 Kl;il czTg; nghjpfs;
jpUg;gp mDg;gg;gl;ld. vdpd; Kl;il czT nghjpfSf;F jw;NghJ xJf;f Ntz;ba
Miur;rpiwf; Nfhzj;jpd; gUkidf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 24
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
09
01.a. 8% kjpg;gPl;L tup mwtpLk; gpuNjrrignahd;W xU tPl;bd; Mz;Lg; ngWkhdj;ij &gh 60 000
vd kjpg;gpl;Ls;sJ.
i. tPl;L cupikahsu; mt;tpl;bw;fhfr; nrYj;jNtz;ba Mz;L kjpg;gPl;L tup vt;tsT ?
ii.
fhyhz;L tupiaf; fhz;f.
b. xUtu; &gh 12 000 I tUlhe;jk; 8% vspa tl;bahf toq;Fk; tq;fp xd;wpy; KjyPL nra;Js;shu;
i. mtUf;F tUlhe;jk; fpilf;Fk; tl;biaf; fhz;f.
ii.
02.
mtu; &gh 16 800 Ij; njhifahfg; ngWtjw;F tq;fpapy; vj;jid Mz;LfSf;F mg;gzj;ij
itj;jpUf;f Ntz;Lk; ?
epkyd; jdJ khjhe;jr; rk;gsj;jpd;
2
1
gq;fpid cztpw;Fk;>
gq;if tPl;L thliff;Fk;
5
5
i.
1
gq;if gps;isfspd; fy;tpf;fhfr; nryT nra;jhu;.
4
cztpw;Fk; tPl;L thliff;Fk; nryT nra;j gzj;ij> KOr; rk;gsj;jpd; gpd;dkhf vOJf.
ii.
fy;tpf;Fr; nrytpLk; gzj;ij khjhe;j rk;gsj;jpd; gpd;dkhf vOJf.
nryT nra;jhu;. vQ;rpa gzj;jpd;
iii. fy;tpf;fhfr; nryT nra;j njhif &gh 4 200 vdpd; epkydpd; khjhe;j rk;gsj;ijf; fhz;f
iv. NkYs;s nryTfspd; gpd;du;> vQ;rpa gzj;ij NtW NjitfSf;Fr; nryT nra;jhu;. NtW
NjitfSf;Fr; nryT nra;j gzk; vt;tsT ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 25
03.a.
vy;Ny
fug;
0
ge;J 75
www.lkedu.lk
ghlrhiy xd;wpYs;s vy;yhg; gps;isfsplKk; mtu;fs; tpUk;Gk;
tpisahl;Lf;fs; gw;wpg; ngwg;gl;l jfty;fs; tl;l tiugpy;
fhl;lg;gl;Ls;sd.
i. fpupf;fl; tpUk;GNthupd; vz;zpf;if 240 vdpd; fug;ge;J
tpisahl;il tpUk;GNthu; vz;zpf;ifiaf; fhz;f.
fpupf;fl;
1200
tiyge;J
ii.
fhy;ge;J tpisahl;il tpUk;GNthupd; vz;zpf;if 210 vdpd;> mtu;fis tiff;Fwpf;Fk;
Miur;rpiwapd; Nfhzj;ijf; fhz;f.
iii. vy;Ny tpisahl;il tpUk;GNthupd; vz;zpf;ifiaf; fhz;f.
b. kw;nwhU ghlrhiyapy; cs;s khztu; FOnthd;wpYk; mtu;fs; tpUk;Gk; mofpaw; ghlq;fs; gw;wp
tpdtpaNghJ> eldj;ij tpUk;GNthupd; %d;W klq;F khztu;fs; rq;fPjj;ij tpUk;gpdu;. ,j;
jfty;fis tl;l tiunghd;wpy; fhl;Lf.
04.
7 cm
B
Q
C
ii.
8 cm
A
P
7 cm
cUtpy; fhl;lg;gLtJ ruptfk; xd;iwAk;> miutl;lk;
xd;iwAk; nfhz;l $l;LUthFk;. cUtpy; fhl;lg;gl;L
s;s mstfspd; gb
i. miutl;lj;jpd; tpl;lk; vj;jid cm ?
$l;LUtpd; Rw;wsitf; fhz;f.
8.7 cm
D
iii. miutl;lj;jpd; gug;gstpw;Fk;> ruptfk; ABCD ,d; gug;gstpw;Fk; ,ilapy; cs;s tpfpjj;ij
fhz;f.
iv. ruptfj;jpw;Fg; gjpyhf mNj gug;gsitf; nfhz;l nrt;tfg; gFjp xd;iw BC ia vy;iyah
ff; nfhz;L miutl;lj;Jld; Nru;f;f Ntz;bAs;sJ. mjd; gUkl;lhd tupg;glj;ij
mstPLfSld; ,Nj tupg;glj;jpy; tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 26
www.lkedu.lk
05.
A kuf;fwp
B gotif
20 Ngiuf; nfhz;l tptrhaf; fofnkh
d;wpy; kuf;fwp gapupLk; tptrhapfs; 15
NgUk;> gotif gapupLNthu; 10 NgUk;
cs;sdu;. ,Utu; ,jpy; vjidAk;
gapltjpy;iy.
i.
kuf;fwp> gotif ,uz;ilAk; gapupLNthupd; vz;zpf;if x vdf; nfhz;L ,j;jfty;fis
ntd;tupg;glj;jpy; fhl;Lf.
ii.
G+uzg;gLj;jg;gl;l ntd;tupg;glj;ijg; gad;gLj;jp x If; nfhz;l xU rkd;ghl;il mikj;J
x ,d; ngWkhdj;ijf; fhz;f.
iii. kuf;fwp kl;Lk; gapupLk; tptrhapfs; vj;jid Ngu; ?
iv. ,tu;fSs;> xU tifg;gapuhtJ gapupLk; tptrhapfisf; fhl;Lk; gpuNjrj;ij epow;Wf.
v.
nkhj;j tptrhapfspy; xUtiu vOkhwhfj; njupT nra;Ak;NghJ mtu; ,tw;wpy; xU tifia
kl;Lk; gapupLgtuhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 27
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
10
1
gFjpapdu; fzpjg; gpupTf;Fk;
4
kPjpapy; miuthrpg; Ngu; tpQ;Qhdg; gpupTf;Fk; tpz;zg;gpj;jpUe;jdu;.
i. tpQ;Qhdg; gpupTf;F tpz;zg;gpj;jtu;fs; KO tpz;zg;gjhupfspd; vg; gpd;dkhFk; ?
f.ngh.j ( c / ju ) Mrpupau; gjtpf;fhf tpz;zg;gpj;jtu;fspy;
01.
ii.
tpQ;Qhdg; gpupTf;F tpz;zg;gpj;jtu;fspd; vz;zpf;if 42 vdpd; Mrpupau; gjtpf;F tpz;zg;gpj;
jtu;fspd; nkhj;j vz;zpf;ifiaf; fhz;f.
2
mstpdu; njhopEl;gg; ghlj;jp
3
w;F jFjp ngw;wdu; vdpd; ,tu;fs; nkhj;j tpz;zg;gjhupfspd; vg; gpd;dkhFk; ?
iii. tpQ;Qhd kw;Wk; fzpjg; gpupTfspy; tpz;zg;gpf;fhjtu;fspd;
iv. NkNy Fwpg;gpl;l %d;W JiwfSf;Fk; njupT nra;ag;gl;l gpd;du; vQ;rpapUe;j 14 Ngiu fiyg;
1
gpuptpw;F njupT nra;J nfhs;s Kbe;jJ. njhopEl;gg; gpuptpw;F jFjp ngw;wtu;fspy;
mstp
7
du; fiyg; gpuptpw;Fk; jFjpAilatu;fs; vd;gjhy; kPz;Lk; mtu;fs; fiyg;gpuptpw;F cl;gLj;jg;
gl;L epakdk; toq;fg;gl;lJ. jw;NghJ fiyg;gpuptpw;F epakdk; ngw;wtu;fs; vj;jid Ngu; ?
02. A
B
Q
P
cUtpy; fhzg;gLtJ ePsk;> mfyk; vd;gd KiwNa 29 cm , 21 cm
MfTs;s fljhrp xd;whFk;. mjpy; epw tbtq;fisf; nfhz;L
gUkl;lhd cUtpy; cs;sthW Gj;jfk; xd;wpd; Nkyl;il jahupf;
fg;gl;Ls;sJ.
i. PCDS gFjpapd; Nfj;jpu fzpjg; ngau; ahJ ?
ii.
S
D
C ikakhfTk; Miur;rpiwf; Nfhzk; 900 MfTk; Miu 14 cm
MfTk; cs;s Miur;rpiw xd;iw mUfpYs;s gUkl;lhd
cUtpy; Fwpj;J mjd; tpy;ypd; ePsj;ijf; fhz;f.
C
iii. AQ = QS , SD = 9 cm vdpd; Kf;Nfhzp PQS ,d; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 28
www.lkedu.lk
iv. Kf;Nfhzp> Miur;rpiw vd;gtw;wpw;F xNu epwk; gad;gLj;jg;gl;bUg;gpd; kPjpg; gFjpapd; gug;gs
itf; fhz;f.
v. NkNy ngwg;gl;l vQ;rpa gFjpapd; gug;gsTf;Fk; Miur;rpiwapd; gug;gsTf;Fk; ,ilNaahd
tpfpjj;ij kpfTk; vspa tbtpy; jUf.
03.
Nrkpg;Gf;
fzf;F
1200
eil
Kiwf;
fzf;F
epiyahd
itg;G
rpWtu;
Nrkpg;Gf;
fzf;F
murtq;fp xd;wpy; Nrkpg;G khjk; xd;wpw;fhf Muk;gpf;fg;gl;l
tq;fpf; fzf;Ffs; njhlu;ghd G+uzkw;w jfty;fs; ,q;F
tl;l tiugpy; ghl;lg;gl;Ls;sJ.
i. Nrkpg;Gf; fzf;Ffspd; vz;zpf;if nkhj;jf; fzf;Ff
spd; vz;zpf;ifapd; vd;d gpdd
; khFk; ?
ii.
Nrkpg;Gf; fzf;Ffs;> rpWtu; Nrkpg;Gf; fzf;Ffs;>
epiyahd itg;Gf; fzf;Ffs; vd;gtw;Wf;fpilapyhd
tpfpjk; 10 : 6 : 5 vdpd; xt;nthU Miur;rpiwfspdJk; Nfhzq;fisf; fz;L cUtpy;
Fwpj;Jf; fhl;Lf.
iii. epiyahd itg;Gf; fzf;Ffspd; vz;zpf;if 20 vdpd; ,k;khjj;jpy; Muk;gpf;fg;gl;l nkhj;jf;
fzf;Ffspd; vz;zpf;ifiaf; fhz;f.
iv. ,k; khjj;jpy; tq;fpapdhy; Muk;gpf;fg;gl;l eilKiwf; fzf;Ffspd; vz;zpf;ifia nkhj;jf;
fzf;ffspd; vz;zpf;ifapd; rjtPjkhfj; jUf.
04.a. Mz;Lg; ngWkhdk; &gh 170 000 Mf cs;s tpahghu epWtdk; xd;wpw;F 6% tUlhe;j ,iwtup
mwtplg;gLfpd;wJ.
i. tUlnkhd;Wf;F nrYj;j Ntz;ba ,iw tupj; njhifiaf; fhz;f.
ii.
,jd; gb fhyhz;Lf;Fr; nrYj;j Ntz;ba ,iw tuiaf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 29
www.lkedu.lk
b. ,t; tpahghupapd; tUlhe;j tUkhdj;jpy; Kjy; &gh 500 000 ,w;F tUkhd tup nrYj;j Ntz;ba
jpy;iy. mLj;j &gh 500 000 ,w;F 4% ck; ,jw;F Nkyjpfkhd tUkhdj;jpw;F 5% ck;
tUkhd tupia murhq;fk; mwtpLfpd;wJ.
i. ,t; tpahghupapd; tUlhe;j tUkhdk; &gh 1 250 000 vdpd; mtu; xU tUlj;jpw;F tUkhd
tupahf nrYj;Jk; njhifiaf; fhz;f.
ii.
,t; tpahghup xU tUlj;jpw;F tupahf nrYj;jk; nkhj;jj; njhifiaf; fhz;f.
05.a. 2 MtJ jlit vLj;jy;
Fkhupd; ngd;rpy; ngl;bapy; mstpYk; tbtpYk; rkkhd
3 rptg;G epwg; ngd;rpy;fSk; 2 ePy epwg; ngd;rpy;fSk;
cz;L. mtw;wpy; xd;iw vOkhwhf vLj;J epwk; Fwpf;f
g;gl;L kPz;Lk; ngl;bapy; ,lg;gLfpd;wJ. kPz;Lk; vOkh
whf xU ngd;rpy; vLf;fg;gl;L mjd; epwk; Fwpf;fg;gLfp
d;wJ.
i. ,r; re;ju;g;gj;jpy; FkhUf;Ff; fpilf;ff; $ba
epfo;r;rpfs; midj;ijAk; jug;gl;Ls;s nea;aupapy;
Fwpj;Jf; fhl;Lf.
B2
B1
R3
R2
R1
R1
ii.
R2
R3 B1 B2
1 MtJ jlit vLj;jy;
,U re;ju;g;gq;fspYk; ntt;NtW epwq;fisf; nfhz;l ngd;rpy;fs; fpilg;gjw;fhd epfo;r;rp
fis nea;aupapy; fl;lkpl;Lf; fhl;b mjd; epfo;jfitAk; fhz;f.
b. nghJ mwpTg; Nghl;b xd;wpd; NghJ khztd; xUtDf;F gy; Nju;T tpdhf;fs; ,uz;L nfhLf;fg;
gLfpd;wJ. Kjyhk; tpdhTf;F 3 tpilfSk; ,uz;lhk; tpdhTf;F 4 tpilfSk; toq;fg;gLfpwJ.
,tw;Ws; xU tpil khj;jpuk; rupahd tpilahFk;.
i. ,j;jfty;fSf;F Vw;g jug;gl;Ls;s kutupg;glj;ijg; G+uzg;gLj;Jf.
Kjyhk;; tpdhTf;F
tpilaspj;jy;
,uz;lhk; tpdhTf;F
tpilaspj;jy;
.................
1
3
.................
ii.
rupahjy;
rupahjy;
.................
gpioahjy;
.................
rupahjy;
.................
gpioahjy;
gpioahjy;
kutupg;glj;jpw;F Vw;g ,U tpilfSk; gpioahFk; epfo;r;rpapd; epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 30
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
4
gq;F ePuhy; epuk;gpapUe;jJ. epuk;ghkypUf;Fk; gFjpapd;
7
epug;gpdhy; jw;NghJ jhq;fpapYs;s ePu;> KOj;jhq;fpapd; vd;d gpd;dk; ?
01.a. jhq;fpnahd;wpd;
11
1
gq;if ePuhy;
3
mUNf fhl;lg;gl;Ls;s nrt;tf tbt cU Gs;spf;NfhLfshy; rkdhd
rpy gFjpfshfg; gpupf;fg;gl;L mjd; xU gFjp epow;wg;gl;Ls;sJ.
b.
i.
epow;wg;gl;Ls;s gFjp KO cUtpd; vd;d gpd;dnkd;gij vOJf.
ii.
epow;wpa gFjpapd;
2
I ntl;b mfw;wpa NghJ vQ;rpa gFjpia KO cUtpd; gpd;dkhf vOJf
3
2
I jdJ kidtpf;Fk;> vQ;rpa gFjpia jdJ xt;nthU
5
gps;isf;Fk; rkkhd gq;F fpilf;FkhW gfpu;e;jspj;jhu;.
i. gps;isfSf;fpilNa gfpu;e;jspf;fg;gl;l fhzp> KOf; fhzpap d; vd;d gpd;dnkdf; fhz;f.
c. uh[d; jdf;Fr; nrhe;jkhd fhzpapd;
ii.
xU gps;isf;F fpilj;j gq;F> KOf;fhzpapd;
3
gq;F vdpd; gps;isfspd; vz;zpf;if
20
iaf; fhz;f.
02.
7 cm
7 cm
ii.
7 cm
Miu 7 cm MfTk; Nfhzk; 900
MfTk; cs;s Miur;rpiwfis
xd;wpizj;J jahupf;fg;gl;l Jzp
apshd myq;fhunkhd;W cUtpy;
fhl;lg;gl;Ls;sJ.
i. Miur;rpiwnahd;wpd; tpy;ypd;
ePsj;ijf; fhz;f.
,t; cUitr; Rw;wp Nue;ij gl;bnahd;iw gpbg;gjw;F Njitahd Nue;ij gl;bapd; ePsk;
vt;tsT ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 31
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iii. ,t; myq;fhuj;jpw;fhfg; gad;gLj;jg;gl;l Jzpapd; gug;gsitf; fzpf;Ff.
iv. NkNyAs;s $l;LUitj; jahupj;Jf; nfhs;tjw;fhf xU gf;fj;jpd; ePsk; 14 cm MfTs;s
rJu tbtj; Jzpj; Jz;Lfs; vj;jid Njitg;gLk; ?
03.a. Njapiyg; gapu;r; nra;iff;fhf epynkhd;iwg; gjg;gLj;Jtjw;F 10 NgUf;F 12 ehl;fs; Njitg;
gLnkd cj;Njrpf;fg;gl;bUe;jJ.
i. epyj;ijg; gjg;gLj;Jtjw;Fj; Njitahd kdpj ehl;fs; vt;tsT ?
ii.
8 ehl;fspy; epyj;ijg; gjg;gLj;jp Kbg;gjw;Fj; Njitahd kdpju;fspd; vz;zpf;ifiaf;
fhz;f.
iii. 10 kdpju;fs; 5 ehl;fs; Ntiy nra;j gpd;du;> NkYk; 4 kdpju;fis Ntiyapy; ,izj;Jf;
nfhs;sg;gl;lhy; epyj;ijg; gjg;gLj;Jtjw;F vLj;j ehl;fisf; fzpf;f.
b. Mz;Lg; ngWkhdk; &gh 24 000 cs;s tPnlhd;wpw;F efurigahdJ 12% kjpg;gPl;L tup mwtpLfp
d;wJ vdpd;>
i. Mz;L tupiaf; fzpf;f.
ii.
fhyhz;L tupiaf; fzpf;f.
ξ = 40
04.
40 khztu;fisf; nfhz;l tFg;nghd;wpypUe;J
mtu;fs; tpUk;Gk; tpisahl;Lj; njhlu;ghf tpdtpa
NghJ ngw;Wf; nfhz;l jfty;fisg; G+uzkw;w ntd;
A
tupg;glk; fhl;Lfpd;wJ.
fhy;ge;J tpisahl tpUk;Gk; khztu;fspd; vz;zpf;if
B
28 MFk;. fpupf;fl; tpisahl tpUk;Gk; khztu;fs;
fhy;ge;J tpisahl;ilAk; tpUk;Gfpd;wdu;. mtu;fspd;
A = { fhy;ge;ij tpisahl tpUk;Gk; khztu;fs; } vz;zpf;if 15 MFk;.
B = { fpupf;fl;il tpisahl tpUk;Gk; khztu;fs; }
i.
NkNy $wg;gl;l jfty;fis ntd;tupg;glj;jpy; Fwpj;Jf; fhl;Lf.
ii.
fhw;ge;J kl;Lk; tpisahl tpUk;Ggtu;fisf; fhl;Lk; gpuNjrj;ij NkNyAs;s ntd; cUtpy;
epow;wpf; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 32
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iii. A , B Mfpa ,U njhilfSf;fpilapyhd njhlu;ig njhilf; Fwpg;gPl;by; vOjpf; fhl;Lf.
iv. fpupf;fl;> fhy;ge;J my;yhj NtW tpisahl;Lf;fis tpUk;Gk; khztu; vz;zpf;if vt;tsT ?
v.
05.
fpupf;fl; tpisahl;bw;F tpUg;gkpy;yhj khztu;> KO khztu;fspd; vj;jid rjtPjk; vdf;
fhz;f.
tpisahl;Lf;fofnkhd;wpy; cs;s mq;fj;jtu;fspd; epiw epWf;fg;gl;L jahupf;fg;gl;ltl;l tiuGk;
G+uzkw;w ml;ltizAk; fPNo fhl;lg;gl;Ls;sJ.
B
C
D
A
tl;lj;jpd;
gFjp
A
B
C
D
epiw
( kg )
30 – 40
40 – 50
50 – 60
60 – 70
mq;fj;jtu;fspd;
vz;zpf;if
...............
...............
..............
..............
i.
ve; epiw Mapilapy; $Ljyhd mq;fj;jtu;fs; cs;sdu; ?
ii.
A apdhy; fhl;lg;gLk; gFjpapy; cs;s mq;fj;jtu;fspd; vz;zpf;if 15 vdpd;> mq;fj;jtu;
fspd; nkhj;j vz;zpf;if ahJ ?
iii. B apdhy; fhl;lg;gLk; mq;fj;jtu; vz;zpf;if 20 vdpd;> mg;gFjpapd; Nfhzk; vj;jid
ghif ?
iv. C apdhy; fhl;lg;gLk; gFjpapd; Nfhzk; 720 vdpd;> D ,dhy; fhl;lg;gLk; gFjpapd; Nfhzk;
ahJ ?
v.
C , D ,dhy; fhl;lg;gLk; mq;fj;jtu; vz;zpf;ifiaf; fz;L ml;ltizia epug;gf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 33
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MATHS MODEL PAPER
PART – I B
01.
ghlrhiynahd;wpy; juk; 05 Gyikg; guprpy; guPl;irf;Fj; Njhw;wpa khztu;fSs;
rpj;jpnaa;jpdu;. rpj;jpnaa;jhj khztu;fspd;
12
1
gq;fpdu;
3
1
gq;fpdu; 100 Gs;spfs; my;yJ mjidtplf;
4
$Ljyhfg; ngw;wpUe;jdu;.
i. ,g;ghlrhiyapy; rpj;jpailahj khztu;fspd; vz;zpf;if KO khztu; njhifapd; vd;d
gpd;dkhFk; ?
ii.
rpj;jp va;jhj 100 my;yJ 100 ,Yk; $ba Gs;spfisg; ngw;w khztu;fs; KOj;njhifapd;
vd;d gpd;dkhFk; ?
iii. 100 ,Yk; Fiwe;j Gs;spfis 18 khztu;fs; ngw;wpUg;gpd; guPl;irf;Fj; Njhw;wpa khztu;
njhifiaf; fhz;f.
1
gq;fpdu; 70 ,Yk; Fiwe;j Gs;spfisg; ngw;wdu; vdpd; 70 ,Yk; Fiw
9
e;j Gs;sp ngw;w khztu; njhif ahJ ?
iv. Njhw;wpatu;fSs;
v.
rpj;jpnaa;jpa vy;yh khztu;fSk; kw;Wk; vQ;rpNahupy; 8 NgUk; NtW ghlrhiyf;Fr; nry;tjw;
fhf ghlrhiyapypUe;J tpyfpdu;. ghlrhiyapypUe;J tpyfpa khztu;fspd; vz;zpf;if>
tFg;gpy; vQ;rpa khztu;fspd; vz;zpf;iffSf;fpilapyhd tpfpjj;ij vspa tbtpy; vOJf.
02.a. i.
6 kdpju;fSf;F Ntiynahd;iw 8 kzpj;jpahyq;fspy; epiwT nra;ayhk; vdpd;> mt;Ntiyf;
fhd kdpj kzpj;jpahyq;fs; vj;jid ?
ii.
6 kdpju;fs; Nkw;$wpa Ntiyiaj; njhlq;fp 2 kzpj;jpahyq;fspy; kpd;rhuk; jilg;gl;lJ.
vQ;rpa Ntiyia NkYk; 4 kzpj;jpahyq;fspy; epiwT nra;tjw;F Nkyjpfkhf vj;jid
kdpju;fis <LgLj;j Ntz;Lk; ?
iii. xU kdpj kzpj;jpahyj;jpw;fhd $yp &gh 200 vdpd;> ,t;Ntiyf;fhd nkhj;jf; $ypiaf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 34
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b. Mz;Lg; ngWkhdk; &gh 84 000 vd kjpg;gplg;gl;l tPnlhd;wpw;F gpuNjr rig 8% Mz;L tupia
mwtpLfpd;wJ. tPl;bd; cupikahsu; tPl;il &gh 8 000 khjhe;j thliff;F tpl;L 3 khjq;fSf;
fhd thlifia xUkpf;fg; ngw;Wf; nfhs;fpwhu;.
i. tPl;LupikahsUf;F 3 khj thlifahf xUkpf;ff; fpilf;Fk; njhifiaf; fhz;f.
ii.
mj;njhifapypUe;J tPl;bd; fhyhz;L tupiar; nrYj;jpa gpd; cupikahsuplk; vQ;Rk; gzj;
njhifiaf; fhz;f.
fzpjg; G+q;fhtpy; epWj;jj; jahupf;fg;gl;l jfl;bdhy; nra;a
g;gl;l mwptpj;jy; gyif cUtpy; fhl;lg;gl;Ls;sJ. mJ
70 cm tpl;lk; nfhz;l miutl;lg; gFjpiaAk; 600 cm2
gug;gsT nfhz;l nrt;tfg; gFjpiaAk; nfhz;lJ.
i. mwptpj;jy; gyifapd; cauj;ijf; fhz;f.
03.
ii.
60 cm
nrt;tfg; gFjpapd; mfyj;ijf; fhz;f.
iii. cUtpd; Rw;wsitf; fhz;f.
iv. mwptpj;jy; gyifapd; nrt;tfg; gFjp jtpu;e;j vQ;rpa gFjpiar; #o xt;nthU 10 cm ,il
ntspapYk; rpW kpd;Fkpo; ,izf;f Ntz;Lk;. Njitg;gLk; kpd; Fkpo;fspd; vz;zpf;ifiaf;
fzpf;f.
04.a.
y`pU
fdtsT njhlu;ghd gpurpdk; vOjg;gl;l (V) tif
A2
A1
V3
V2
V1
V1
V2
V3
A1
V – fdtsTg; gpurpd ml;il
A – gug;gsTg; gpurpd ml;il
Grade :- 10 , 11
A2
mkpy
ml;ilfs; 3 ck; gug;gsT njhlu;ghd gpurpdk; vOjg;
gl;l (A) tif ml;ilfs; 2 ck; mlq;fpa rkdhd
ml;ilj; njhFjp xd;wpypUe;J mkpy xU ml;ilia
vLj;jijj; njhlu;e;J y`pUTk; xU ml;ilia vOkh
whfj; njupT nra;jhd;.
i. mkpy kw;Wk; y`pU MfpNahu; ml;ilfisj; njupT
nra;jYf;F mikthd khjpup ntspia mUfpy;
jug;gl;Ls;s nea;aupapy; Fwpj;Jf; fhl;Lf.
ii. ,UtUf;Fk; A tif ml;il fpilg;gjw;fhd
epfo;jfitf; fhz;f.
iii. mkpy A tif ml;iliaAk; y`pU V tif ml;il
iaAk; ngWtjw;fhd epfo;jfitf; fhz;f.
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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b. mkpy ml;ilnahd;iwj; njupT nra;jYf;fikthd kutupg;glk; fPNo jug;gl;Ls;sJ.
3
5
V
.............
A
i. ,ilntspia epug;gp y`pU ml;ilnahd;iwj; njupjiyf; Fwpf;FkhW tiuig tpupTgLj;Jf.
ii. xUtUf;NfDk; A tif ml;il fpilg;gjw;fhd epfo;jfitf; fhz;f.
05.
tFg;ghapil
(ehl;fspd; vz;zpf;if)
10 – 20
20 – 30
30 – 40
40 – 50
50 – 70
kPbwd;
(khztu; vz;zp)
2
3
5
18
juk; 11 ,Ys;s 32 khztu;fs; ghlrhiyj;
jtiz xd;wpDs; ghlrhiyf;F r%fkspj;j
ehl;fspd; vz;zpf;if njhlu;ghd G+uzkw;w
kPbwd; ml;ltiz mUNf jug;gl;Ls;sJ.
(,q;F 10 – 20 vd;gJ 10 my;yJ 10 ,Yk;
$ba Mdhy; 20 ,Yk; FiwT vd;gjhFk;)
i.
,j;jtizapYs; ghlrhiy ele;j ehl;fspd; cau; vz;zpf;if ahjhf ,Uf;fyhk; ?
ii.
ml;ltizapd; ,ilntspia epug;gp gpd;tUk; mr;Rj; njhFjpapy; tiyAU tiuaj;ij tiuf
kPbwd;
tFg;ghapil
iii. ePu; tiue;j tiyAU tiuaj;jpy; kPbwd; gy;Nfhzpia tiuf.
iv. 40 ehl;fs; my;yJ mjdpYk; $ba ehl;fs; ghlrhiyf;F r%fkspj;j khztu;fspd; vz;zp
f;ifia KO khztu; njhifapd; rjtPjkhff; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 36
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
01.
13
5
I jdf;F itj;Jf;nfhz;L kPjpia maytu;fs;
6
utp jdJ kuj;jpy; gwpj;j khk;goq;fspd;
%tUf;Fk; rkdhfg; gfpu;e;jspj;jhd;.
i. maytu;fSf;Fg; gfpu;e;jspj;j khk;gok; nkhj;j khk;goq;fspd; vd;d gpd;dk; ?
ii.
maytu;fspy; xUtUf;F fpilj;j khk;goq;fs; 50 vdpd; mtu; gwpj;j khk;goq;fspd; vz;zpf;
ifiaf; fhz;f.
iii. mtu; jd;dplkpUe;j khk;goq;fspy;
4
I tpw;whu;.tpw;w khk;goq;fspd; vz;zpf;ifiaf; fhz;f
5
iv. &gh 100 ,w;F 12 khk;goq;fs; tPjk; tpw;fg;gl;lnjdpd; mtUf;Ff; fpilj;j tUkhdk; ahJ?
02. C
28 cm
A
B
cUthdJ ABC vDk; nrq;Nfhz Kf;NfhzpahYk;
xU Miur; rpiwapdhYk; Md xU cNyhfj; jflh
Fk;.
i. AD tpy;ypd; ePsj;ijf; fhz;f.
21 cm
,d; ePsj;ijf; fhz;f.
D
ii.
,t;TNyhfj;jfl;bd; Rw;wsT 117 cm vdpd; BC
iii. ABD Miur; rpiwapd; gug;gsT> Kf;Nfhzp ABC ,d; gug;gstpYk; vt;tsT mjpfkhFk; ?
iv. AB , AC Clhf ntl;lg;gl;L 35 cm2 gug;gsTs;s xU nrt;tfk; ntl;b mfw;wg;gl Ntz;b
1
As;sJ. mjd; xU gf;f ePsk; AB topNa
AB MFk;. mr; nrt;tfj;ij msTfSld;
3
cUtpy; Fwpj;Jf; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 37
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03.a. &gh 7 ,yhgk; toq;Fk; gq;nfhd;iw &gh 28 tPjk; thq;Ftjw;F xU tpahghup &gh 42 000 I
KjyPL nra;jhu;.
i. mtu; thq;fpa gq;Ffspd; vz;zpf;ifiaf; fhz;f.
ii.
tUl ,Wjpapy; mtu; ngw;Wf;nfhz;l ,yhgj;ijf; fhz;f.
iii. mtu; ngw;Wf;nfhz;l ,yhgj;ij KjyPl;bd; rjtPjkhfj; jUf.
b. NkNy tpahghup tUkhdtup nrYj;Jk; tpjk; gpd;tUkhW
Kjy; &gh 800 000 ,w;F tup tpyf;F> mLj;j &gh 500 000 ,w;F 4% > kPjp tUkhdj;jpw;F 8%
mtuJ nkhj;j tUl tUkhdk; &gh 135 000 vdpd;> nrYj;jpa tUkhdtupiaf; fhz;f.
04.a.
2 k; Kiw vLj;jy;
xU ngl;bapy; xNu msthd 4 ePy epw nghj;jhd;
rp3
fSk; 2 rptg;G epw nghj;jhd;fSk; cs;sd.
Rdhyp vOkhwhf xU nghj;jhid ntspNa vLj;J
epwj;ijf; Fwpj;j gpd; ngl;bapy; Nghl;lJk; kPz;Lk;
xU nghj;jhid ntspNa vLj;jhs;.
i. epfof;$ba epfo;Tfs; midj;ijAk; mUNf
cs;s nea;aupapy; fhl;Lf.
ii. ,U KiwAk; ntspNa vLj;j nghj;jhd;fs;
rptg;G epwkhf ,Ug;gjw;fhd epfo;jfitf;
fhz;f.
rp2
rp1
eP3
eP2
eP1
eP1
eP2
eP3 rp1
1 k; Kiw vLj;jy;
rp2
rp3
iii. ,U KiwAk; ntspNa vLj;j nghj;jhd;fs; ntt;NtW epwkhf ,Ug;gjw;fhd epfo;jfitf;
fhz;f.
b.
rpWtu;
Neak;
nrQ;
rpYit
Gifg;glk;
gpbj;jy;
Rfhjhu
Njit
Grade :- 10 , 11
rhuzu;
,af;fk;
ghlrhiynahd;wpy; ntspf;fs nraw;ghl;bw;F khztu;fs;
tUif je;j tpjk; tl;l tiugpy; fhl;lg;gl;Ls;sJ.
i.. ntspf;fs nraw;ghl;bw;F tUifje;j nkhj;j khztu;fs;
60 Ngu; vdpd;> nrQ;rpYitf;fhf tUif je;j khztu;
fspd; vz;zpf;if ahJ ?
ii.
rpWtu; Neaj;jpw;F tUif je;jtu;fs; 10 Ngu; vdpd; mjw;
fhd Miur;rpiw Nfhzj;jpd; ngWkhdj;ijf; fhz;f.
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 38
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iii. rhuzu; ,af;fj;jpw;Fk;>Rfhjhu Njitf;Fk;> Gifg;glk; gpbj;jYf;F tUif je;j khztu;fspd;
3
khztu;fs; Gifg;gl gpbg;gpy; <Lgl;ldu; vdpd;> mjw;fhd Miur;rpiwf; Nfhzj;jpd;
5
gUkidf; fhz;f.
05.
Nrfupj;j ney;
(nk.nlhd;)
1.5 – 2.0
2.0 – 2.5
2.5 – 3.0
3.0 – 3.5
3.5 – 4.0
4.0 – 4.5
4.5 – 5.0
epiyaq;fspd;
vz;zpf;if
03
05
09
14
08
06
03
jpws; kPbwd;
03
08
17
...........
...........
...........
...........
ney; Nrfupf;Fk; epiyankhd;wpy; Nrfupf;fg;
gl;l ney; njhlu;ghd jfty; nkw;wpf; nlhd;
dpy; mUNf jug;gl;Ls;sJ.
i. jpws; kPbwd; epuypy; ntw;wplq;fis
epug;Gf.
ii. fPNo jpws; kPbwd; tisapia tiuf.
jpws; kPbwd;
ney; (nk.nlhd;)
jpws; kPbwd; tisapiag; gad;gLj;jp
i. ney;ypd; ,ilag; ngWkhdj;ijf; fhz;f.
ii.
fhyiz ,il tPr;irf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 39
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MATHS MODEL PAPER
PART – I B
mjp Ntfg; ghij xd;wpy; xU kzpj;jpahyj;jpw;Fs; gazk; nra;j thfdq;fspy;
01.
14
2
g]; tz;bf
7
3
fhu;fshFk;. kw;iwa midj;Jk; Ntd; tz;bfshFk;.
4
,t; xU kzpj;jpahyj;jpw;Fs; gazk; nra;j fhu;fsJk; Ntd;fsJk; vz;zpf;ifia nkhj;j
thfdq;fspd; vd;d gpd;dkhFk; ?
shtNjhL kPjpapd;
i.
ii.
fhu;fspd; vz;zpf;if nkhj;j thfdq;fspd; vd;d gpd;dkhFk; ?
iii. Nkw;Fwpg;gpl;l fhyj;jpw;Fs; gazpj;j fhu;fspd; vz;zpf;if 30 vdpd;> xU kzpj;jpahyj;jpy;
gazpj;j nkhj;j thfdq;fspd; vz;zpf;if ahJ ?
iv. mjp Ntfg; ghijapy; fl;lzkhf g];tz;bfSf;F &gh 600 ck;> fhu; tz;bfSf;F &gh 400
ck; Ntd;tz;bfSf;F &gh550 ck; mwtplg;gLk; vdpd; ,t; xU kzpj;jpahyj;jpy; fpilf;Fk;
nkhj;j tUkhdj;ijf; fhz;f.
P
02.
42 cm
Q
S
rptg;G
nts;is epw nrt;tf tbt Glitj; Jz;nlhd;iwg;
gad;glj;jp mUNf jug;gl;Ls;sMf;fk; nra;ag;gl;Ls;sJ
,jd; Nky; kQ;rs; epw PQRS vDk; Miur; rpiw tbt
Glitj; Jz;Lk; mjd; kPJ rptg;G epw QRS vDk;
tl;lj; Jz;l tbt Glitj; Jz;L xl;lg;gl;Ls;sJ.
i. Miur; rpiw PQRS tl;lj;jpd; vd;d gpd;dkhFk; ?
ii.
QRS tpy;ypd; ePsj;ijf; fhz;f.
R
iii. Miur;rpiw PQRS ,d; gug;gsitf; fhz;f.
iv. rptg;G epw Glitj; Jz;bd; gug;gsitf; fhz;f.
v.
,t; Mf;fj;jpy; PQRS Miur;rpiwapd; tpspk;G KOtJk; 23 nghj;jhd;fs; gpbf;fg;gl;Ls;sJ.
mtw;Ws; PQ kw;Wk; PS tpspk;Gfspy; 7cm ,il ntspapy; nghj;jhd;fs; gpbf;fg;gl;Ls;snjdpd;
QRS tpspk;gpy; cs;s ,U nghj;jhd;fSf;F ,ilapy; cs;s J}u tpj;jpahrj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 40
www.lkedu.lk
03.a. Fkhu; md; fk;gdp jkf;F %yjdj;ij jpul;bf; nfhs;tjw;fhf &gh 12 tpiyAs;s 40 000 gq;F
fis toq;f KbT nra;jJ. jpU gPup]; ,f;fk;gdpapy; 8000 gq;Ffis thq;f KjyPL nra;fpwhu;.
i. Fkhu; md; fk;gdpapd; Muk;g %yjdk; vt;tsT ?
ii.
jpU. gPup]; mtu;fSf;F ,f; fk;gdpapy; cs;s cupikia rjtPjkhfj; jUf.
iii. fk;gdp xU gq;fpw;F &gh 7 gq;fpyhgk; toq;fpdhy; jpU gPup]; ngWk; gq;fpyhg tUkhdk; vt;t
sT ?
b. Mz;Lg; ngWkhdk; &gh 84 000 vd kjpg;gplg;gl;l tPnlhd;Wf;F cs;@uhl;rp kd;wk; fhyhz;L
tupahf &gh 1 680 mwtpLfpwJ.
i. xU tUlj;jpw;F mwtplg;gLk; tupj;njhifiaf; fhz;f.
ii.
cs;@uhl;rp kd;wk; mwtpLk; tupr; rjtPjj;ijf; fhz;f.
xU gpuNjrj;jpy; cs;s fpzWfspy; cs;s
ePupy; fhzg;gLk; %yf; $Wfs; mjpfk; vd
mg;gpuNjr kf;fs; Fwpg;gpl;ldu;. mjd;gb
,q;F ntt;NtW ,lq;fspy; ,Ue;J 50 ePu;
khjpupfs; ngwg;gl;L gupNrhjidf;Fl;gLj;jg;
gl;lJ. ,tw;wpy; ,Ue;j %yf; $Wfspd;
epiw fzpf;fg;gl;L mk; KbTfisf; nfhz;
L tiuag;gl;l G+uzkw;w tiyAU tiuak;
mUNf jug;gl;Ls;sJ.
i. %yf;$Wfspd; epiw ( 5 – 10 ) mg Mf
Ts;s ePu; khjpupfspd; vz;zpf;if ahJ
04. ePu; khjpupfspd; vz;zpf;if
16
14
12
10
8
6
4
2
ii.
0
5
10 15 20 25 30
%yf; $Wfspd; epiw mg
35
40
$Ljyhd ePu; khjpupfspd; ePu; %yf;
$Wfspd; epiwapd; tFg;ghapilia
vOJf.
iii. %yf;$Wfs; ( 25 – 35 ) mg ,ilapy; ,Uf;Fk; ePu; khjpupfspd; vz;zpf;ifiaf; fz;L
tiyAU tiuaj;jpy; Fwpf;f.
iv. NkNy cs;s tiyAU tiuaj;jpy; kPbwd; gy;Nfhzpia tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 41
www.lkedu.lk
05.a.
5
1
ξ = { X : XСZ, 0 ≤ X < 7 }
B = { 20264 vd;w vz;zpd; ,yf;ffq;fs; }
i. njhil B ,w;Fwpa %yfq;fis ,l;L ntd; tupg;glj;
ij G+uzg;gLj;Jf.
ii. A U B njhilia %yfq;fSld; vOJf.
6
3
A
B
iii. n ( AUB ) l ,d; ngWkhdk; ahJ ?
b. i.
rptg;G
ePyk;
kQ;rs;
rptg;G
ePyk;
rptg;G
kQ;rs;
B
A
A , B vd;gd Rje;jpukhf Royf; $ba ,U jl;Lf;fshFk;. ,U jl;Lf;fisAk; xNu jlitapy;
Row;wp tpl;L mk;Gf; FwpfSf;F NeNu tUk; tu;zq;fisf; Fwpj;Jf;nfhs;Sk; tpisahl;by; xU
khztd; <LgLfpwhd;. mtDf;Ff; fpilf;ff; $ba NgWfs; mlq;fpa khjpup ntspia jug;gl;Ls;s
nea;aupapy; Fwpj;Jf; fhl;Lf.
B jl;L
kQ;rs;
ePyk;
rptg;G
rptg;G rptg;G ePyk;
A jl;L
ii.
kQ;rs;
khztDf;F rkkhd tu;zq;fs; fpilg;gjw;fhd epfo;r;rpia nea;aupapy; Fwpj;Jf; fhl;b
mjd; epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 42
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
epky; jdJ tPl;ilf; fl;Ltjw;Fj; Njitahd gzj;jpd;
1
I tq;fpapypUe;Jk;
3
15
1
I jdJ
4
2
I jdJ ez;gdplKk; ngw;Wf; nfhz;lhd;.
5
tq;fpapypUe;Jk; ngw;NwhuplkpUe;Jk; ngw;Wf; nfhz;l gzk; tPl;ilf; fl;Ltjw;Fj; Njitahd
gzj;jpd; vd;d gpd;dkhFk; ?
ngw;NwhuplkpUe;Jk; kPjpad;
i.
ii.
ez;gdplkpUe;J fpilj;j gzk; Njitahd KOg;gzj;jpd; vd;d gpdd
; khFk; ?
iii. epky; jd;dplkpUe;j &gh 750 000 gzj;ijAk; NkNy ngw;Wf; nfhz;l gzj;ijAk; nryT
nra;J tPl;il KOikahf fl;bnaOg;gpdhu; vdpd;> tPl;ilf; fl;Ltjw;Fr; nryT nra;j
nkhj;jg; gzj;ijf; fhz;f.
02.
A
3m
3m
20 m
20 m
B
filj;njhFjpnahd;W mike;Js;s ,lj;jpd; gUkl;
lhd glk; fhl;lg;gl;Ls;sJ. mjpy; thfdk; epWj;jg;
gLk; ,lk; epow;wg;gl;Ls;sJ. kPjpg; gFjpapy; fl;blq;
fs; cs;sd.
i. ,jpy; fhl;lg;gl;Ls;s miutl;lg; gFjpapd;
Miuapd; ePsk; ahJ ?
30 m ii.
fl;blg; gFjpapd; Rw;wsitf; fhz;f.
C
F
iii. epow;wg;gl;Ls;s gpuNjrj;jpd; gug;gsitf; fhz;f
E
D
20 m
iv. thfdq;fs; epWj;Jk; gpuNjrj;jpw;F rPnke;Jf; fy; gjpg;gjw;F 1 m2 ,w;F &gh 1 500 nrythF
nkdpd; nkhj;j nryitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 43
fhyk;
(epkplk;)
khztu;
vz;zpf;if
03.
0–5
2
www.lkedu.lk
5 – 10
10 – 15
15 – 20
20 – 35
35 – 45
4
..........
6
9
4
30 Ngu; nfhz;l khztu;
FOnthd;wpy; xt;nthU
khztDk; rpWfij Gj;j
f nkhd;iw thrpg;gjw;F
vLj;j fhyk; njhlu;ghd ml;ltiznahd;W mUNf toq;fg;gl;Ls;sJ.
i. ml;ltzapy; ntw;wplj;ij epug;Gf.
ii. NkNy jfty;fis tiyAUtpy; fhl;Lf.
iii. tiuag;gl;l tiyAUtpy; kPbwd; gy;Nfhzpia tiuf.
iv. 15 epkplj;jpYk; Fiwe;j fhyj;jpy; rpWfij Gj;jfj;ij thrpj;j khztu;fspd; vz;zpf;ifia
nkhj;j khztu;fspd; vz;zpf;ifapd; rjtPjkhfj; jUf.
04.a. gpay; vd;gtu; epiyahd itg;Gf;fhf 11% $l;Ltl;b toq;Fk; tq;fpnahd;wpy; &gh 175 000 I
itg;Gr; nra;jhu;. ,UtUl Kbtpy; gpaYf;Ff; fpilf;Fk; nkhj;jg; gzj;ijf; fhz;f.
b. gq;nfhd;Wf;F tUlhe;jk; &gh 8 gq;fpyhgk; toq;Fk; gq;Fr; re;ijapy; fNd\d; &gh 360 000 I
KjyPL nra;J re;ijtpiy &gh 60 IAila gq;Ffis nfhs;tdT nra;jhu;.
i. fNd\d; nfhs;tdT nra;j gq;Ffspd; vz;zpf;ifiaf; fhz;f.
ii.
fNd\Df;F tUlhe;jk; fpilf;Fk; gq;fpyhg tUkhdj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 44
www.lkedu.lk
iii. xU tUl Kbtpy; fNd\d; NkNy rfy gq;FfisAk; tpw;gid nra;J &gh 9 000 I %yjd
,yhgkha; ngw;Wf; nfhz;lhu;. gq;nfhd;wpd; tpw;gid tpiyiaf; fhz;f.
05.
ignahd;wpy; 4 rptg;G epw mg;gpy;fSk;> 2 gr;ir epw mg;gpy;fSk; cs;sd. eprhu; mjpy; xU
mg;gpiy vOkhwhf ntspNa vLj;J mjd; epwj;ij guprPyid nra;jgpd; kPz;Lk; igapypl;lhu;.
gpd;du; rg;thd; xU mg;gpiy vOkhwhf ntspNa vLj;J mjd; epwj;ij guprPyid nra;jhu;.
i. NkNy nraw;ghl;bd; epfo;Tfis Gs;sp tiugpy; Fwpj;Jf; fhl;Lf.
ii.
,UtUk; rptg;G epw mg;gpnyhd;iw ntspNa vLg;gjw;fhd epfo;jfitf; fhz;f.
iii. rg;thDf;F rptg;G epw mg;gpnyhd;Wk;> eprhUf;F gr;ir epw mg;gpnyhd;Wk; fpilg;gjw;fhd
epfo;jfitf; fhz;f.
iv. eprhUf;F rptg;G epw mg;gpnyhd;W fpilf;fhikf;fhd epfo;jfitf; fhz;f.
v.
NkNy ii, iii, iv epfo;r;rpfs; KiwNa A, B, C vdpd; mtw;wpd; %l;ww;w epfo;r;rpfs; ,uz;bd;
ngau;fisf; Fwpg;gpLf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 45
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
16
,yq;if &gth`pdp $l;Lj;jhgdj;jpdhy; xspgug;ghFk; jpiug;glk; xd;wpd; NghJ ,ileLNt
1
3
fhyj;jpd;
gFjp nra;jp xspgug;ghf;Ftjw;Fk; kPjpf;fhyj;jpd;
gFjp
6
20
mDruizahsu;fspd;
tpsk;guj;jpw;fhfTk; xJf;fg;gl;bUe;jd.
i. nra;jpf;F fhyj;ij xJf;fpa gpd; kPjpf; fhyk; KOf; fhyj;jpd; vd;d gpd;dkhFk; ?
01.
ii.
mDruizahsu;fspd; tpsk;guj;jpw;fhf xJf;fg;gl;l fhyk; jpiug;glk; xspgug;ghFk; KOf;
fhyj;jpd; vd;d gpd;dkhFk; ?
iii. mDruizahsu;fspd; tpsk;guj;jpw;fhf xJf;fg;gl;l fhyj;ij tpl 6 epkplq;fs; $Ljyhf
nra;jp xspgug;gg;gl;lJ vdpd; jpiug;gl xspgug;gpw;fhfxJf;fg;gl;l nkhj;jfhyj;ijf; fhz;f
iv. xU epkplk; tpsk;guk; nra;tjw;fhf &gh 35 000 nrYj;jg;gl;lJ. tpsk;guj;jpw;fhf &gth`pdp
$l;Lj;jhgdk; ngw;Wf; nfhz;l tUkhdj;ijf; fhz;f.
02.
28 cm
A
B
xU gf;f ePsk; 28 cm cila ABCD rJuj; jfnlhd;wpypUe;J
epow;wg;gl;l Miur;rpiwg;gFjp PDQ ntl;b mfw;wg;gl;Ls;sij cU
fhl;Lfpd;wJ.
i. cUtpy; Miur;rpiwapd; Miuapd; ePsj;ijf; fhz;f.
P
ii.
D
Q
tpy; PQ ,d; ePsj;ijf; fhz;f.
C
iii. PDQ Miur;rpiw ntl;b mfw;wg;gl;l gpd; kPjpg; gFjpapd; Rw;wsitf; fhz;f.
iv. PDQ Miur;rpiw ntl;b mfw;wg;gl;l gpd; kPjpg; gFjpapd; gug;gsitf; fhz;f.
v.
PDQ Miur;rpiwapd; gug;gstpw;F rkdhd QC I mbahff; nfhz;l nrq;Nfhz Kf;Nfhzp
nahd;W ntl;b mfw;wg;gl Ntz;bAs;sJ. mjid mstPLfSld; cUtpy; tiue;J
Fwpj;Jf; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 46
www.lkedu.lk
03.a.
kpd;Dk; jhuif tpisahl;Lf; fofj;jpd; mq;fj;jtu;fSf;fp
ilNa fpupf;nfl;> nthypNghy;> fhy;ge;J> nldp]; Mfpa tpis
ahl;Lf;fspy; fye;J nfhs;Sk; tPuu;fspd; vz;zpf;ifiaf;
Fwpf;Fk; G+uzkw;w tl;l tiunghd;W mUNf fhl;lg;gl;Ls;sJ
i. tl;l tiugpw;F Vw;g nldp]; tpisahLk; mq;fj;jtu;fspd;
vz;zpf;if KO mq;fj;jtu;fspd; vz;zpf;ifapd; vd;d
gpd;dkhFk; ?
fpupf;nfl;
1200 450
fhy;ge;J
nldp];
nthypNghy;
nldp]; tpisahLk; tPuu;fspd; vz;zpf;if 15 vdpd; fpupf;nfl; tpisahLk; tPuu;fspd;
vz;zpf;if ahJ ?
ii.
iii. nthypNghy; tpisahLk; tPuu;fspd; vz;zpf;if 35 vdpd>; mtu;fisf; Fwpf;Fk; ikaf;Nfh
zj;jpd; gUkidf; fhz;f.
b.
J}uk; km
NkNy fofj;jpy; mq;fj;Jtk; tfpf;Fk;
ry;khd; gapw;rpapd; NghJ rPuhd Ntfj;jp
y; ele;J nrd;w Kiw mUNf J}u – Neu
tiugpy; fhl;lg;gl;Ls;sJ.
i. ry;khd; Kjy; 25 epkplq;fspy; ele;J
nrd;w Ntfj;ij kzpf;F vj;jid
fpNyh kPw;wu; vdf; fhz;f.
S
5
ii.
0
25
35
45
fhyk; epkplk;
ry;khd; 25 – 35 epkplq;fSf;fpilap
y; Xa;thf ,Ue;J 18 kmh- 1 vDk;
rPuhd Ntfj;jpy; gazpj;jpUe;jhy;
tiugpy; S ,d; ngWkhdj;ijf; fhz;f.
04.a. xU gpuNjr rig jdJ mjpfhu vy;iyapYs;s xU tPl;il &gh 140 000 vd kjpg;gPL nra;Js;sJ
,t;tPl;bw;fhd 8% tUl tup nrYj;jg;gl Ntz;Lk;.
i. nrYj;j Ntz;ba tUl tup ahJ ?
ii.
fhyhz;L tupiaf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 47
www.lkedu.lk
iii. tPl;L cupikahsu; cupa jpdj;jpw;F Kd; fhyhz;L tupiar; nrYj;j jtwpaikapdhy; Nkyjpf
khf jz;lg; gzj;Jld; &gh 3 024 nrYj;j Neupl;lJ. Nkyjpfkhf nrYj;jpa jz;lg;gzk;
vd;d rjtPjnkdf; fhz;f.
b. tanyhd;wpy; G+g;gwpg;gjw;fhf 8 kdpju;fSf;F 14 ehl;fs; vLf;Fnkd jPu;khdpf;fg;gl;Ls;sJ.
8 kdpju;fs; 4 ehl;fs; Ntiy nra;jgpd; 3 kdpju;fs; Ntiyf;F tutpy;iy. ,jd; fhuzkhf
G+f;fis gwpj;J Kbg;gjw;F Nkyjpfkhf Njitahd ehl;fisf; fhz;f.
05.a.
,uz;lhk;; re;ju;g;gk;
Mwhk; juj;jpy; fw;gpf;Fk; fzpjg;ghl Mrpupia tbtpYk; mstp
Yk; xNu khjpupahd 3 rptg;G epw nrayl;ilfisAk; xU
kQ;rs; epw nrayl;iliaAk; ngl;bnahd;wpy; Nghl;L mjpypUe;J
vOkhwhf xd;iw ntspNa vLj;J jdJ mg;gpahrg; Gj;jfj;jpy;
xl;LkhW mwptpf;fg;gl;bUe;jJ.
Rkpj; ,g;ngl;bapypUe;J vOkhwhf nrayl;ilnahd;iw vLj;J
mjd; epwj;ijg; ghu;j;J tpl;L mjid ngl;bapy; ,l;L kPz;Lk;
xU nrayl;ilia ntspNa vLj;jhu;.
i. Rkpj;Jf;F vd;d epwKila ml;il fpilg;gjw;fhd
tha;g;G mjpfkhf cs;sJ ?
Y
R
R
R
R
R
R
Y
Kjyhk; re;ju;g;gk;
ntspNa vLf;fg;gl;l nrayl;il rptg;G my;yJ kQ;rs; Mf ,Ug;gij fhl;Ltjw;F nea;aupia
G+uzg;gLj;Jf.
iii. ,uz;L KiwfspYk; vLf;fg;gl;l ml;il ntt;NtW epwkhf ,Ug;gjw;fhd epfo;r;rpia fl;lkpl;
Lf; fhl;b epfo;jfitf; fhz;f.
ii.
b. itj;jparhiy xd;wpy; A , B kUe;J tiffs; ghtpf;f KbAk;. A kUe;jpd; %yk; Rfkhff; $ba
rjtPjk; 75% MfTk;> B kUe;jpd; %yk; Rfkhf; $ba rjtPjk; 60% MFk;. itj;jpau; xUtu; A
my;yJ B tifahd kUe;Jfspy; xd;iw vOkhwhf njupT nra;J Nehahspf;Fk; nfhLf;Fk; NghJ
Neha; Fzkiljy; Fzkilahikiaf; fhl;Lk; kutupg;glk; fPNo fhl;lg;gl;Ls;sJ.
....................
1
2
A tif
....................
....................
....................
Rfkiljy;
Rfkilahik
Rfkiljy;
B tif
....................
Rfkilahik
i. kutupg;glj;jpy; ,ilntspf;Fg; nghUj;jkhd epfo;Tfisf; Fwpf;f.
ii. A my;yJ B kUe;Jfs; ,uz;LtiffspYk; Neha; FzkilAk; epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 48
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
01.a. jpUthsu; rpwptu;j;jd jdJ fhzpapd;
1
gq;if kfSf;Fk; kPjpapd;
3
17
1
gq;if kfDf;Fk;
4
gfpu;e;jspj;jhu;.
i. kfSf;Ff; nfhLj;j gpd; vQ;rpa gFjpia KOf;fhzpapd; gpd;dkhf vOJf.
ii.
kfDf;F KOf;fhzpapd; vd;d gpd;dk; fpilj;jJ?
iii. kfDf;Fk; kfSf;Fk; nfhLj;j gpd; kPjpf; fhzpia KOf;fhzpapd; gpdd
; khf vOJf.
b. fhzpapd; ngWkjpapd; 3% Ij; juFf;fl;lzkhf mwtpLk; jufnuhUtu; kfdpd; fhzpg;gq;if
tpw;Wf;nfhLj;jjw;fhf &gh 21 000 I jufhfg; ngw;Wf;nfhz;lhu;.
i. kfdpd; fhzpapd; ngWkjpiaf; fhz;f.
ii.
02.
A
KOf;fhzpapd; ngWkjpiaf; fhz;f.
20 m
B
AB , DC vDk; rkhe;ju vy;iyfisf; nfhz;l Kw;w
nkhd;W cUtpy; fhl;lg;gl;Ls;sJ.
i. Kw;wj;jpd; Nfj;jpu fzpj tbtj;ijf; Fwpf;Fk;
tpNrl ngaiu vOJf.
14 m
D
24 m
C
ii.
Kw;wj;jpd; gug;gsitf; fhz;f.
iii. %iy tpl;lk; BD Clhf Kw;wk; ,UgFjpfshfg; gpupf;fg;gl;L ADB gpuNjrj;jpy; G+f;fs; tsu;f;
fg;gLtJld; BCD gFjpapy; fw;fs; gug;gg;gl;L myq;fupf;fg;gLfpd;wJ. ,t;tpU gFjpfspd;
gug;gsTfSf;fpilapyhd tpfpjj;ijf; fz;L> vspa tbtpy; jUf.
iv. Kw;wj;jpw;F ntspg;Gwkhf AD tpl;lkhFkhW miutl;ltbtj; jlhfnkhd;W mikf;f cj;Njrp
f;fg;gl;Ls;sJ. mjid NkYs;s cUtpy; tiue;J fhl;Lf.
v. ABCD Kw;wj;jpd; gug;gsT jlhfj;jpd; Nkw;gug;gpd; ehd;F klq;nfdf; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 49
www.lkedu.lk
03.a. xU cw;gj;jpahsu; ghjzpr; Nrhbnahd;iw Mf;Ftjw;fhd cw;gj;jpr; nryT &gh 800 vdf;
fzf;fpl;Ls;shu;. mJ %yg;nghUl; nryT> $yp vd 5 : 3 vDk; tpfpjj;jpy; fhzg;gLfpdw
; J.
i. %yg; nghUl;fSf;fhd nryit cw;gj;jpr; nrytpd; gpd;dkhf vOJf.
ii.
ghjzpr; Nrhbnahd;wpw;fhd %yg;nghUl; nryitf; fhz;f.
b. cw;gj;jpahsd; Gjpa ,ae;jpunkhd;iw mwpKfg; gLj;jpajhy; $yp 2 : 3 vDk; tpfpjj;jpy; Fiwt
ile;jJld; tpiyNaw;wk; fhuzkhf %yg;nghUl; nryT 20% My; mjpfupj;jJ.
i. Gjpa $ypiaf; fhz;f.
ii.
%yg;nghUl; nryT 20% My; mjpfupj;J $yp 2 : 3 vDk; tpfpjj;jpy; Fiwe;j NghJk; ghj
zpr; Nrhbapd; cw;gj;jpr; nrytpy; khw;wkpy;iy vdf; fhl;Lf.
iii. jpdnkhd;wpy; 80 Nrhbg; ghjzpfs; cw;gj;jp nra;ag;gLfpdw
; d. cw;gj;jpahsd; ehshe;jk;
&gh 16 000 ,yhgk; vjpu;ghu;f;fpd;whd;. xU Nrhbg; ghjzpahy; vjpu;ghu;f;Fk; ,yhgr; rjtPjj;
ijf; fhz;f.
04.a. %d;W tPuu;fSk; ,U tPuhq;fidfSk; Fog;Nghl;bnahd;wpw;Fj; jFjp ngw;wdu;. mtu;fSs; ,Utu;
ntspehl;Lr; Rw;Wyhnthd;Wf;Fj; njupT nra;ag;gl;ldu;. ntspehl;Lr; Rw;Wyhtpw;Fj; njupthd
epfo;r;rpf;fhd G+uzkw;w kutupg;glk; fPNpo jug;gl;Ls;sJ.
Kjy; njupT
.................
.................
tPuhq;fid
tPuu;
i.
kutupg;glj;jpd; ,ilntspfis epug;Gf.
ii.
ntspehl;Lr; Rw;Wyhtpw;Fj; njupT nra;ag;gl;likf;F mikthf kutupg;glj;ij tpupTgLj;Jf.
epfo;jfTfisf; Fwpf;f.
iii. Rw;Wyhf; FOtpy; xU tPuhq;fid cs;thq;fg;gLtjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 50
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b. ,uz;lhk;; njupT
ntspehl;Lr; Rw;Wyhtpw;Fj; njupag;gLk; ,UtUk; tPuhq;
fidfshf mikaKbahJ vd njupTf;FO KbT nra;
jJ.
i. Nkw;$wpa epfo;Tf;fhd khjpupntspia jug;gl;Ls;s
nea;aupapy; Fwpf;f.
B3
B2
B1
ii.
G2
NkNy a. iii epfo;r;rpf;Fupa Gs;spfis nea;aupapy;
tl;lkpl;Lf; fhl;Lf.
G1
G1
05.
B1
G2
Kjy; njupT
yPT ehl;fspd;
vz;zpf;if
0 – 12
12 – 18
18 – 24
24 – 30
30 – 48
B2
B3
ghlrhiynahd;wpy; 60 Mrpupau;fs; tUlnkhd;wpy;
ngw;Wf;nfhz;l yPT gw;wpa tpguq;fs; mlq;fpa
G+uzkw;w ml;ltiz ,q;F fhl;lg;gl;Ls;sJ.
ml;ltizapYs;s juTfSf;Nfw;g tiuag;gl;l
G+uzkw;w tiyAU fPNo jug;gl;Ls;sJ.
Mrpupau;fspd;
vz;zpf;if
...............
...............
10
15
..............
Mrpupau;fspd; vz;zpf;if
16
14
12
10
8
6
4
2
0
6
12
18
24
30 36
ehl;fspd; vz;zpf;if
42
48
54
i.
ml;lizapYs;s ,ilntspfis epug;Gf.
ii.
mjpypUe;J tiyAU tiuaj;ijg; G+uzg;gLj;Jf.
iii. tiyAU tiuaj;jpypUe;J kPbwd; gy;Nfhzpia tiuf.
iv. ,g;ghlrhiyapy; 30 my;yJ 30 ,Yk; $ba ehl;fs; yPT ngw;w Mrpupau;fspd; njhif KO
Mrpupau; njhifapd; 25% vdf; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 51
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
mur Copau; xUtu; jdJ rk;gsj;jpy;
01.
18
1
2
I czTf;Fk;>
gq;if cilfis thq;Ftjw;Fg;
3
9
gad;gLj;jpdhu;.
i. czTf;Fk;> cilf;Fk; nryT nra;jJ jdJ rk;gsj;jpy; vd;d gpd;dk; ?
ii.
1
gq;if tq;fpapy; Nrkpj;jhu; vdpd;> tq;fpapy; Nrkpj;jJ nkhj;j rk;gs
4
j;jpy; vd;d gpd;dk; ?
kPjpr; rk;gsj;jpy;
iii. ,Wjpahf mtuJ rk;gsj;jpy; vQ;rpaJ vd;d gpd;dk; ?
iv. NkYk; &gh 6 000 I kUj;Jt nryTf;F xJf;fpa gpd;du;
2
gq;F kPjkhapUe;jJ vdpd;
9
mtuJ khjr; rk;gsj;ijf; fhz;f.
02.
A
B
cUtpy; fhl;lg;gl;bUg;gJ xU fhzpnahd;wpd; cU
tg;glkhFk;. ,f;fhzp xU nrt;tfg; gFjpiaAk;
Kf;Nfhzg;gFjpiaAk;> fhy;tl;lg;gFjpiaAk;
nfhz;ljhFk;. mitfs; cUtpy; fhl;lg;gl;Ls;sJ.
i. tpy; BF ,d; ePsk; fhz;f.
21 m
D
28 m
F
C
21 m
ii.
CE ,d; ePsk; fhz;f.
E
iii. cUtpd; Rw;wsitf; fhz;f.
iv. fhzpiar; Rw;wp 3 m ,ilntspapy; fk;gpf; fl;ilfs; elj; jPu;khdpjj
; pUe;jhy;> Njitahd
fk;gpf; fl;ilfs; vj;jid ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 52
v.
www.lkedu.lk
,f;fhzpia xU ruptff; fhzpahFkhW fhy;tl;lg; gFjpf;Fg; gjpyhf AB xU gf;fkhfTk;
kw;iwa gf;fk; ePl;lg;gl;l DA ,y; ,Uf;FkhW xU Kf;Nfhzg; gFjp Nru;f;fg;gl Ntz;bAs;
sJ. Nru;f;fg;gl Ntz;ba Kf;Nfhzpia mstPLfSld; tiuf.
03.a. tPnlhd;wpd; Mz;L kjpg;gPl;Lg; ngWkhdk; &gh 120 000 MFk;. gpuNjr rig Mz;Lg; ngWkhdj;jpd;
4% I ,iwtupahf mwtpLfpwJ.
i. Xu; Mz;L ,iwtup vj;jid &gh ?
ii.
fhyhz;Lf;fhd ,iwtupiaf; fhz;f.
iii. Xu; Mz;L tupia KOikahf nrYj;Jtjhapd; 2% fopT toq;fg;gLk; vdpd; nrYj;j
Ntz;ba Mz;L tupiaf; fhz;f.
b. cUisf;fpoq;F ,wf;Fkjp nra;ifapd; NghJ 35% jPu;it tup nrYj;j Ntz;Lk;. xU njhif
cUisf;fpoq;if ,wf;Fkjp nra;j xUtu; &gh 49 525 I tupahfr; nrYj;jpdhu;. mtu; ,wf;Fkjp
nra;j cUisf;fpoq;fpd; ngWkjp vj;jid &gh ?
04.a. cyff; fpz;zk; fpupf;fl; Nghl;bapy; ,yq;if mzp Kjy; Rw;wpy; njupT nra;ag;gLtjw;fhd epfo;j
2
fT
vdf; fzpg;G nra;ag;gl;lJld;> mt;thW njupT nra;ag;gl;lhy; ,Wjpg;Nghl;bf;F njupT
9
1
nra;ag;gLk; tha;g;G
vdTk; fzpg;G nra;ag;gLfpwJ.
4
i. Kjy; Rw;wpy; njupT nra;ag;gl;lij> njupT nra;ag;glhikiaf; fhl;rpg;gLj;Jtjw;fhf tiuag;
gl;l kutupg;glj;ijg; G+uzg;gLj;Jf.
Kjw; Rw;W
ii.
2
9
njupT
nra;ag;gl;lik
..............
njupT
nra;ag;glhik
,Wjpg; Nghl;bf;F njupT nra;ag;gl;lhy;> njupT nra;ag;glhikiaf; fhl;Ltjw;F kutupg;
glj;ij tpupTgLj;Jf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 53
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iii. ,Wjpg; Nghl;bf;F jFjpngWk; tha;g;ig (epfo;jfitf;) fhz;f.
iv. Kjy; Rw;wpy; njupT nra;ag;gl;L> ,Wjpg; Nghl;bf;F njupT nra;ag;glhikf;fhd epfo;jfT
17% ,Yk; FiwT vdf; fhl;Lf.
} , A = { 10 ,Yk; Fiwe;j Kjd;ik vz;fs; }
b. ξ = {
B = { 10 ,Yk; Fiwe;j xw;iw vz;fs; }
ξ , A , B vd;gtw;iw ntd;tupg;glj;jpy; tiue;J ( AUB )l ,d; %yfq;fis vOJf.
05.
epiw
kg
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
50 – 60
60 – 70
70 – 80
khztu;
vz;zpf;if f
1
3
7
13
17
............
............
3
jpws; kPbwd;
1
4
...........
............
...........
50
57
..........
guPl;irnahd;wpy; khztu;fs; ngw;w Gs;spfs; njhlu;ghd
jfty; gpd;tUk; ml;ltizapy; fhl;lg;gl;Ls;sJ.
i. ml;ltizapy; ,ilntsp epug;Gf.
ii. guPl;irf;Fj; Njhw;wpa khztu;fs; vj;jid Ngu; ?
iii. $Ljyhd khztu;fs; ngw;w Gs;sp vt;tFg;ghap
ilapy; cs;sJ.
iv. ml;ltizapy; cs;s jfty;fisf; nfhz;L fPNo
jug;gl;l Ms;$w;Wj;jsj;jpy; jpws; kPbwd; tisap
ia tiuf.
v. jpws; kPbwd; tiuigg;
gad;gLj;jp ,ilak; fhz;f
vi. 75% khztu;fs; rpj;jpa
iltjw;Fg; ngw Ntz;ba
rpj;jpg; Gs;spiaf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
www.teachmore.lk
T.P. No :- 0777034358
Page 54
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
19
ghlrhiynahd;wpy; fzpj $lnkhd;iw epu;khdpg;gjw;F gzk; Nrfupg;gjw;fhf Nkil ehlfnkhd;W
1
fhz;gpf;fj; jPu;khdpf;fg;gl;lJ. mjw;fhf mr;rplg;gl;l mDkjpg; gj;jpuq;fSs;
gq;F &gh 1000
6
1
ngWkjpahditahFk;.
gq;F &gh 500 ngWkjpahdJld; vQ;rpaahTk; &gh 250 ngWkjp
3
nfhz;litahFk;. mr;rplg;gl;l vy;yh mDkjpg;gj;jpuq;fSk; tpw;gidahfpd.
i. mr;rplg;gl;l &gh 250 ngWkjpahd mDkjpg;gj;jpuq;fspd; vz;zpf;ifia nkhj;j mDkjpg;gj;
jpuq;fspd; vz;zpf;ifapd; gpd;dkhf vOjp mjid vspa tbtpy; vOJf.
ii.
&gh 250 mDkjpg;gj;jpuq;fspd; tpw;gidahy; fpilj;j gzk; &gh 300 000 vdpd; mr;rplg;gl;l
&gh 250 mDkjpg;gj;jpuq;fspd; vz;zpf;ifiaf; fhz;f.
iii. mr;rplg;gl;l &gh 1000 , &gh 500 ngWkjpahd mDkjpg;gj;jpuq;fspd; vz;zpf;iffisj;
jdpj;jdpahff; fz;L mDkjpg;gj;jpu tpw;gidahy; fpilj;j nkhj;jg; gzj;ijf; fhz;f.
14 cm
02.
14 cm
ii.
fzpj Kfhnkhd;wpy; xU khztu; FOTf;F toq;fg;gl;l
fljhrpahy; ntl;lg;gl;l ,yl;rpid xd;W cUtpy; fhl;lg;g
l;Ls;sJ. 7 cm gf;fk; nfhz;l rJunkhd;wpd; ,Ugf;fq;fs;
kPJ ,U Miur;rpiwfis mikg;gjd; %yk; mJ Mf;fg;gl;L
s;sJ.
i. ,yl;rpidapd; Rw;wsitf; fhz;f.
14 cm MiuAila tl;ltbtf; fljhrpfspypUe;J ,t;tpyl;rpid ntl;lg;gl;lnjdpd;> 48
,yl;rpidfis ntl;bf; nfhs;tjw;Fj; Njitahd tl;l tbtf; fljhrpfspd; vz;zpf;
ifiaf; fzpf;f.
iii. xU tl;l tbtf; fljhrpapypUe;J ,yl;rpidfs; ntl;lg;gl;l gpd; tPzhFk; fljhrpapd;
gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 55
www.lkedu.lk
filnahd;wpy; Fwpj;j rpy ehl;fSs; tpw;gidahd muprpapd; msT njhlu;ghd juTfs; ml;lt
izapy; fhl;lg;gl;Ls;sd.(100 – 110 vd;gJ100 my;yJ100 ,Yk; $ba 110 ,w;Ff; Fiwe;jit
vd;gjhFk;)
03.
muprp kg
ehl;fspd; vz;zpf;if
100 – 110
1
110 – 120
3
120 – 140
12
140 – 150
7
150 – 160
4
160 – 170
3
Nkw;$wpa juTfis
tiyAU tiuankhd;wpy;
tifFwpf;f.
ii. tiyAU tiuaj;ijg;
gad;gLj;jp mNj tiugpy;
kPbwd; gy;Nfhzpia
tiuf.
iii. 140 kg my;yJ mjdpYk;
$ba muprp tpw;gidahd
ehl;fspd; vz;zpf;ifia
juT ngwg;gl;l nkhj;j
ehl;fspd; vz;zpf;ifapd;
rjtPjkhff; fhl;Lf.
i.
kyu;r; nra;if> Mil ijj;jy; vd;gtw;iw Ra njhop
yhf Nkw;nfhs;Sk; 25 Nguplk; ngwg;gl;l jfty;fisf;
Fwpg;gjw;F jahupf;fg;gl;l G+uzkw;w ntd;DU cUtpy;
fhl;lg;gl;Ls;sJ.
,tu;fSs; 15 Ngu; ngz;fshtu;. 16 Ngu; Mil ijj;j
iy Nkw;nfhs;fpd;wdu;. 3 Mz;fs; kyu;r; nra;ifapy;
<LgLfpd;wdu;.
04.a.
i. NkYs;s juTfis jug;gl;Ls;s ntd;DUtpy; Fwpf;f.
ii. Mil ijj;jypyPLgLk; Mz;fs; vj;jid Ngu; ?
iii. kyu;r; nra;ifapy; <LgLNthupd; njhif ahJ ?
b. Nkw;$wpa FOtpy; %d;W Mz;fSk; xU ngz;Zk; fld; njhifnahd;iwg; ngw;Wf;nfhs;s tpz;
zg;gpj;Js;sdu;. fld; toq;Fk; epWtdk; ,tu;fSs; ,Utiu vOkhwhfj; njupT nra;J flid
toq;Fk;.
i. mt;tpUtiuAk; njuptjw;fhd khjpupntspia jug;gl;Ls;s nea;aupapy; Fwpf;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 56
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ii.
njupag;gl;ltu;fs; xU MZk; xU ngz;Zkhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
05.a. &gh 24 500 ngWkjpahd kpd;Dgfuznkhd;iw ,e;ehl;bw;F ,wf;Fkjp nra;Ak;NghJ mjd; ngWk
jpapd; 40% jPu;itahf mwtplg;gLfpd;wJ. jPu;it nrYj;jg;gl;l gpd; mjd; ngWkjpiaf; fhz;f.
b. &gh 18 000 Mz;Lg; ngWkhdkhf kjpg;gplg;gl;l filaiw xd;wpw;F mJ mike;Js;s gpuNjr
rig 8% tUl tupia mwtpLfpd;wJ.
i. filaiwf;F nrYj;j Ntz;ba Mz;L tupj; njhifiaf; fhz;f.
ii.
xU fhyhz;Lf;Fr; nrYj;j Ntz;ba tupiaf; fhz;f.
iii. ,g;gpuNjr rig vy;iyf;Fs; mike;j NtnwhU filaiwf;F mjd; cupikahsu; fhyhz;L
tupahf &gh 510 Ir; nrYj;Jfpd;whu;. mt;tPl;bd; kjpg;gplg;gl;l Mz;Lg; ngWkhdj;ijf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 57
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MATHS MODEL PAPER
PART – I B
01.
ghlrhiynahd;wpy; f.ngh.j (rh/j) guPl;irf;Fj; Njhw;wpa khztu;fSs;
rpj;jpaile;jdu;. rpj;jpaile;j khztu;fSs;
20
4
gq;fpdu; guPl;irapy;
5
1
gq;fpdu; tpQ;Qhdg; gpupTfspYk; vQ;rpatu;fSs;
6
1
gq;fpdu; tu;j;jfg; gpuptpYk; vQ;rpNahu; fiyg;gpuptpYk; fy;tp fw;f KbT nra;jdu;.
6
i. tpQ;Qhdg; gpupitj; njupT nra;jtu;fs; vd;d gpd;dk; ?
ii.
rpj;jpaile;jtu;fSs; tu;j;jfg; gpupitAk; fiyg;gpupitAk; njupT nra;Njhu; vd;d gpd;dk; ?
iii. tu;j;jfg; gpupitj; njupT nra;Njhu; vd;d gpd;dk; ?
iv. fiyj;Jiwiaj; njupT nra;j khztu;fspd; vz;zpf;if 30 Ngu; vdpd;> guPl;irf;Fj; Njhw;wpa
khztu;fspd; nkhj;j vz;zpf;if ahJ ?
02.
E
,y;y tpisahl;Lg; Nghl;b xd;wpd; NghJ jahu; nra;ag;gl;l
,yhQ;ridnahd;W cUtpy; fhl;lg;gl;Ls;sJ. cUtpy;
cs;s juTfisg; gad;gLj;jp
i. tpy; EF ,d; ePsk; ahJ ?
F
2.1 cm
G
H
0
D
60 0
600 60
O
C
ii.
cUtpy; vQ;rpa tpy; gFjpfspd; ePsj;ijf; fhz;f.
2.1 cm
A
4.2 cm
B
iii. tpw;fs; topNa 1.1 cm ,w;F xt;nthU kzpfs; nghUj;jg;gl;lJ. Njitahd kzpfs; vj;jid
iv. cUtpd; nkhj;jg; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 58
03.
www.lkedu.lk
xU rhe;Jf; fyitapy; rPnke;J> Rz;zhk;G Mfpad 1 : 2 vd;Dk; tpfpjj;jpYk; Rz;zhk;G>kzy;
vd;gd 1 : 2 vd;Dk; tpfpjj;jpYk; fyf;fg;gl;Ls;sd.
i. rPnke;J> Rz;zhk;G> kzy; vd;gd fyf;fg;gl;Ls;s tpfpjj;ijf; fhz;f.
ii.
xU rPnke;Jg; igapy; 5 jhr;rp rPnke;J ,Uf;Fnkdpd;> mjDld; fyg;gjw;Fj; Njitahd
Rz;zhk;G> kzy; vd;gtw;wpd; msTfisf; fhz;f.
iii. 100 rJu mb gug;gsTila Rtu; xd;Wf;F rhe;jpLtjw;F 70 jhr;rp rhe;J fyit Njit
vdpd; mjw;Fj; Njitahd rPnke;Jg; igfspd; vz;zpf;ifiaf; fhz;f.
iv. xU rPnke;Jg; igapd; tpiy &gh 900 vdpd; 1 000 rJu mbg; gug;gsTila Rtu;fSf;F
rhe;jpLtjw;Fj; Njitahd rPnke;jpd; tpiyiaf; fhz;f.
04.
epiw
kg
30 – 35
35 – 40
40 – 45
45 – 50
50 – 55
55 – 60
khztu;
vz;zpf;if f
3
6
10
9
7
5
jpws; kPbwd;
..............
..............
..............
..............
..............
..............
ghlrhiy tpisahl;Lf; fofk; xd;wpy; cs;s
khztu;fspd; epiw gw;wpa jfty; mUNf ml;lt
izapy; jug;gl;Ls;sJ.
i. tpisahl;Lf; fofj;jpy; cs;s mq;fj;jtu;
fs; vj;jid Ngu; ?
ii. jpws; kPbwd; epuiyg; G+uzg;gLj;Jf.
iii. jug;gl;Ls;s Ms;$w;Wj;jsj;jpd; kPJ jpws;
kPbwd; tiuig tiuf.
iv. jpws; kPbwd; tiugpy;
,Ue;J ,ilak;> fhyiz
apiltPr;R vd;gtw;iw
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 59
05.
www.lkedu.lk
ignahd;wpy; ,uz;L fWg;Gg; gtsq;fSk;> %d;W nts;isg; gtsq;fSk; cs;sd. igapy; ,Ue;J
vOkhw;whf xU gtsk; vLf;fg;gl;L mjd; epwj;ijf; Fwpj;Jf; nfhz;l gpd;du; mjid igapy;
,l;L kPz;Lk; xU gtsk; vLf;fg;gLfpwJ.
i. ,j;jftiy gpd;tUk; nea;aupapy; Fwpj;Jf; fhl;Lf.
2k; Kiw vLj;jy;
W3
W2
W1
B2
B1
B1
ii.
B2 W 1 W 2
1k; Kiw vLj;jy;
W3
,U re;ju;g;gq;fspYk; xNu epwg; gtsk; fpilg;gjw;fhd epfo;r;rp A vdpd;> A ,w;Fupa %yfq;
fisr; Rw;wp tl;lkpl;Lf; fhl;b P ( A ) If; fhz;f.
iii. P ( A l ) If; fhz;f.
iv. NkNy jug;gl;l epfo;r;rpiaf; fhl;l gpd;tUk; kutupg;glj;ijg; G+uzg;gLj;Jf.
A
................
................
v.
Al
,Nj nraw;ghl;il kPz;Lk; xU jlit nra;Ak; NghJ> eilngwf; $ba epfo;r;rpf;fhd
kutupg;glj;ij tpupTgLj;Jf.
vi. ,uz;L nraw;ghl;bd; NghJk; xNu epwk; fpilg;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 60
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
tpahghupnahUtu; &gh 35 tPjk; thq;fpa mz;zhrpg; goq;fspy;
21
1
gOjile;jpUe;jd. kPjpapd;
5
1
I rpWtu; guhkupg;G epiyaj;jpw;F md;gspg;Gr; nra;jgpd; kPjpia tpw;whu;.
4
i. thq;fpa mz;zhrpg;goq;fspd; vd;d gpd;dj;ij rpWtu; guhkupg;G epiyaj;jpw;F md;gspg;Gr;
nra;jhu; ?
ii. tpahghup tpw;gid nra;j mz;zhrpg;goq;fs; nkhj;jg; goq;fspd; vd;d gpd;dkhFk; ?
iii. xU mz;zhrpg;gok; &gh 70 tPjk; tpw;wjhy; mtUf;F &gh 1 470 fpilj;jJ. mtu; thq;fpa
mz;zhrpg;goq;fspd; vz;zpf;if ahJ ?
iv. ,t; tpahghuj;jpdhy; tpahghupf;F ,yhgkhff; fpilf;fg;ngw;w gzj;ijf; fhz;f.
C
02.
A
O
cUtpy; miutl;ltbthd Rtu; myq;fhuk; xd;W fhl;l
g;gl;Ls;sJ. mjpy; epow;wg;gl;Ls;s gFjp ePy epw gplit
apdhYk; ABC Kf;Nfhzptbtk; rptg;G epw gplitapdh
Yk; myq;fupf;fg;gl;Ls;sJ.
i. ACB tpy; topNa (upgd;) ehlh gpbg;gjw;F Njitahd
(upgd;) ehlhtpd; ePsj;ijf; fhz;f.
B
56 cm
ii.
Rtu; myq;fhuk; nra;ag;gl;Ls;s gFjpapd; gug;gsitf; fhz;f.
iii. ePy epw gplitapdhy; myq;fupf;fg;gl;Ls;s gFjpapd; gug;gsitf; fhz;f.
iv. ePy epw gplitj;Jz;bd; gug;gstpd; miuklq;F gug;gsTf;F rkdhd nrt;tf tbt gplitj;
Jz;nlhd;W AB topNa ijf;fg;gLkhapd; mjd; gUk;gb glj;ij msTfSld; cUtpy;
tiue;J fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 61
www.lkedu.lk
www.teachmore.lk
03.a. tPnlhd;wpd; kjpg;gPl;Lg; ngWkhdj;jpd; 5% I gpuNjr rig tUlhe;jk; tupahf mwtpLfpd;wJ.
xU tUlj;jpw;F &gh 1 700 tup mwtplg;gl;lJ.
i. tPbw;fhd fhyhz;L tupiaf; fhz;f.
ii.
tPl;bd; kjpg;gPl;Lg; ngWkjpiaf; fhz;f.
b. tpahghupnahUtu; tUlhe;j tUkhdj;jpd; Kjy; &gh 500 000 ,w;F tUkhdtup nrYj;j Njitap
y;iy. mjw;F Nkyjpfkhff; fpilf;Fk; tUkhdj;jpw;F 4% tUkhdtup nrYj;jg;gl Ntz;Lk;.
mtu; &gh 14 000 tUl tUkhdtupahf nrYj;jpapUe;jhu;.
i. vt;tsT tUkhdj;jpw;F tUkhdtup nrYj;jpAs;shu; ?
ii.
mtuJ nkhj;j tUl tUkhdj;ijf; fhz;f.
iii. cupa jpdj;jpw;F tUkhtup nrYj;jhikapdhy; nkhj;j tUkhdj;jpw;F Nkyjpfkhf 2% jz;
lg;gzk; nrYj;j Neupl;lJ. mtu; nrYj;jpa nkhj;jg; gzk; vt;tsT ?
04.a. xU Fwpg;gpl;l ehspy; fpypdpf; xd;wpw;F tUifje;j 36 ePupypT Nehahspfspy; 24 Ngu; ngz;fshtu;
2
Nehahspfspd;
gq;fpdu; 50 taJ my;yJ mjpYk; $batu;fshtu;.
5
i. fpypdpf;fpw;F tUifje;j ngz;fs; nkhj;j Nehahspfspd; vd;d gpd;dkhFk; ?
ii.
vOkhwhfj; njupT nra;ag;gl;l xU Nehahsp Mzhf my;yJ ngz;zhf ,Ug;gjw;fhd epfo;
jfitf; fhl;Lk; G+uzkw;w kutupg;glnkhd;W fPNo jug;gl;Ls;sJ. mjd; ntw;wplj;ij epug;Gf.
.............
Mz;
.............
ngz;
iii. NkNy ii ,y; njupT nra;ag;gl;l Nehahsp 50 tajpYk; Fiwthd my;yJ 50 taJ my;yJ
50 tajpYk; $ba Nehahspahf ,Ug;gjw;fhd epfo;jfitf; fhl;Ltjw;F NkNy kutupg;glj;
ij tpupTgLj;jp G+uzg;gLj;Jf.
iv. vOkhwhf njupTnra;ag;gl;l Nehahsp 50 taJ my;yJ mjpYk; $ba taijAila xU
ngz;zhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 62
b.
ntspNa nry;yy;
www.lkedu.lk
NkNy fpypdpf;fpw;F tUifje;j NehahspnahUtUf;F
itj;jpauplk; nry;tjw;F D1 , D2 , D3 , D4 vd Fwpf;fg;gl;l
ehd;F fjTfs; cs;sd. Nehahspf;F vf;fjtpdhYk;
cs;Ns nrd;W vf;fjtpdhYk; ntspNa tuyhk;. cs;Ns
nrd;W ntspNa tUtjw;fhd epfo;jfitf; fhl;Lk; epfo;r;
rpfis gpd;tUk; nea;aupapy; fhl;b> NehahspnahUtu; cs;
Ns nrd;w fjitj; jtpu NtW xU fjthy; ntspNa
tUtjw;fhd epfo;jfitf; fhz;f.
D4
D3
D2
D1
D1
D2
D3
cs;Ns nry;yy;
05.
D4
kPd; tpw;gid epiyankhd;Wf;F nfhz;Ltug;gl;l rpwpa kPd;fs; cs;slf;fg;gl;l ngl;bfspd; epiw
njhlu;ghd jfty; gpd;tUk; G+uzkw;w ml;ltizapy; fhl;lg;gl;Ls;sJ.
tFg;ghapil ngl;bfspd;
jpws;
vz;zpf;if
vz;
z
p
f
;
i
f
kP
b
wd;
epiw kg
12
50 – 55
................
6
10
55 – 60
10
16
8
60 – 65
12
28
65 – 70
9
.............
6
70 – 75
5
42
4
75 – 80
6
48
2
i.
ml;ltiziag; G+uzg;gLj;jp
tiyAUitg; G+uzg;gLj;Jf.
0
50
55
60
65
70
75
80
epiw kg
NkNy jfty;fisg; gad;gLj;jp jpws;
kPbwd; tisapia tiuf.
iii. tisapapypUe;J ,ila epiwiaf;
fhz;f.
ii.
iv. ,t;tpahghu epiyaj;jpw;F nfhz;Ltug;
gl;l ngl;bfspy; 75 kg ,Yk; $ba
epiwAs;s ngl;bfis nkhj;j ngl;bf
spd; rjtPjkhfj; jUf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 63
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
22
1
I kitpf;Fk;> kPjpia jdJ ehd;F gps;isfSf;Fk;
3
rkdhfg; gfpu;e;J nfhLg;gjw;Fj; jPu;khdpj;jhu;. vdpDk; mtuJ RfaPdk; fhuzkhf nkhj;jg; gz
1
j;jpy;
gq;if kUe;Jf;F nryT nra;Jtpl;L kPjpia kidtp> gps;isfSf;Fr; rkdhfg;
6
gfpu;e;jhu;.
i. kUe;Jf;Fr; nryT nra;j gpd;du; kPjpg; gzk; vd;d gpd;dk; ?
kdpjd; xUtd; jd;dplk; cs;s gzj;jpy;
kidtp> gps;isfs; xt;nthUtUf;Fk; nfhLf;fg;gl;l njhif vd;d gpd;dk; ?
ii.
iii. kidtpf;F Vw;fdNt fpilf;ftpUe;j gzj;jpw;Fk;> fpilj;j gzj;jpw;Fk; ,ilapy; ,Ue;j
tpj;jpahrk; &gh 18 000 vdpd;> Muk;gj;jpy; ,Ue;j nkhj;jg;gzk; ahJ ?
F
E
02.
D
tPnlhd;wpy; cs;s fjnthd;wpd; khjpupAU cUtpy; fhl;lg;gl;Ls;
sJ. cUtpy; cs;s juTfis mtjhdpj;J>
i. tpy; DC ,d; ePsj;ijf; fhz;f.
G
O
C
2.1 m
ii.
tpy; DC ehd;F rkgFjpfshfg; gpuf;fg;gl;Ls;sJ. GC ,d;
ePsk; ahJ ?
iii. OGC ,d; Rw;wsitf; fhz;f.
A
1.4 m
B
iv. OGC vd;Dk; gFjpapy; G+ myq;fhuk; xd;W nra;J nghUj;jg;gl;Ls;sJ. myq;fhuj;ijg;
nghUj;Jtjw;F O tpy; Muk;gpj;J OC , OG topNa 0.1 m ,Yk;> GC topNa 0.11 m ,Yk;
xU Mzp vd;wthW nghUj;jg;gl;Ls;sJ. nghUj;jg;gl;Ls;s Mzpfs; vj;jid ?
v. nrt;tfg; gFjpf;Fj; Njitahd gyif 1 m2 ,d; tpiy &gh 575 vdpd; gyif thq;Ftjw;F
Vw;gLk; nryitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 64
www.lkedu.lk
03.a. Mil tpw;gid epiyak; xd;wpy; fhl;rpg;gLj;jg;gl;bUe;j tpsk;guk; gpd;tUkhW
(xt;nthU rpl;ilAk; &gh 10 ,d; klq;fpNyNa fzpf;fg;gLfpwJ)
&gh 5 000 my;yJ mjw;F Nkw;gl;l rpl;ilfSf;F 7% fopTk;> &gh 7 000 my;yJ mjw;F Nkw;
gl;l rpl;ilfSf;F 9% fopTk; &gh 10 000 f;F my;yJ mjw;F Nkw;gl;l rpl;ilfSf;F 10%
fopTk; toq;fg;gLk;.
i. 9% fopT toq;fg;gLk; mjp$ba njhifiaf; fhz;f.
&gh 6 500 rpl;ilf;fhf toq;fg;gLk; fopT vj;jid &gh ?
ii.
iii. A , B vd;Dk; ,U ez;gu;fs; ,t;tpw;gid epiyaj;Jf;Fr; nrd;W nghUl;fis thq;fpa NghJ
A ,d; rpl;il &gh 9 900, B ,d; rpl;il &gh 10 000 ,tu;fSs; $Ljyhd gzj;ijr;
nrYj;jpatu; ahu; ? fhuzk; jUf.
b. xUtu; &gh 15 ngWkjpahd gq;Ffis thq;Ftjw;F &gh 75 000 KjyPL nra;fpwhu;. xU gq;fpw;
fhd gq;fpyhgk; &gh 3 MFk;.
i. mtu; thq;fpa gq;Ffs; vj;jid ?
gq;fpyhgj;ijf; fhz;f.
ii.
ξ
04.a.
ghlrhiynahd;wpy; f.ngh.j (rh/j) guPl;irf;Fj; Bjhw;wpa
30 khztu;fspy; 19 Ngu; fzpjg; ghlj;jpy; rpj;jpaile;jdu;.
20 Ngu; cau;juk; fw;wdu;. 9 khztu;fs; fzpjg; ghlj;jpy;
rpj;jpailahky; cau;ju tFg;gpy; Nrutpy;iy
i. ,j;jfty;fis mUNf cs;s ntd;DUtpy; Fwpj;Jf;
fhl;Lf.
ii. fzpjg;ghlj;jpy; rpj;jpailahky; cau;juk; fw;Nghu;
vj;jid khztu;fs; ?
A fzpjj;jpy;
B cau;juk;
rpj;jpaile;Njhu; fw;Nwhu;
iii. fzpjg; ghlj;jpy; rpj;jpaile;Jk; cau;juk; fw;fhj khztu;fs; mlq;Fk; gFjpia epow;wpf;
fhl;b mjid A , B mlq;Fk; xU njhilf;FwaPl;by; vOJf.
b. ehzak;
T
H
1
2
3
4
jhaf;fl;il
5
6
ehzak; xd;Wk;> jhaf; fl;il xd;Wk; xUkpj;J
vwpag;gLk; NghJ>
i. ngwf;$ba NgWfis mUNf cs;s nea;aupapy;
Fwpj;Jf; fhl;Lf.
ii. ehzaj;jpy; jiyAk; jhaf;fl;ilapy; Kjd;ik
vd;Dk; fpilf;Fk; epfo;r;rpia glj;jpy; Fwpj;Jf;
fhl;b mjd; epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 65
05.
www.lkedu.lk
guPl;irnahd;wpy; khztu;fs; ngw;Wf; nfhz;l Gs;sp njhlu;ghf ngwg;gl;l jfty; gpd;tUk; ml;lt
izapy; fhl;lg;gl;Ls;sJ.
Gs;sp
tFg;ghapil
khztu;
vz;zpf;if
10 – 30
30 – 40
40 – 50
50 – 60
60 – 70
70 – 100
6
6
10
5
4
9
i.
guPl;irf;Fj; Njhw;wpa khztu;fspd; vz;zpf;if ahJ ?
ii.
,g;Gs;spj; jutpd; Mfhu tFg;g ahJ ?
iii. fPNo cs;s Ms;$w;Wj;jsj;jpy; NkYs;s juTfSf;fhd tiyAU tiuaj;ij tiuf.
khztu;fspd; vz;zpf;if
10
9
8
7
6
5
4
3
2
1
0
10
20
30
40
50
60
70
80
90
100
Gs;sp
iv. tiyAU tiugpidg; gad;gLj;jp kPbwd; gy;Nfhzpia tiuf.
v.
50 Gs;spfSf;F Nky; ngw;w khztu;fspd; vz;zpf;ifia nkhj;j khztu;fspd; vz;zp
f;ifapd; rjtPjkhfj; jUf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 66
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
23
epjp epWtdnkhd;W tPl;Lf;fld; toq;Ftjw;fhf gpd;tUk; epge;jidfis Kd;itj;Js;sJ.

tPl;il epu;khdpf;Fk; fhzpapd; ngWkhdj;jpd; 70% If; fldhfg; ngw;Wf;nfhs;syhk;.
1
 fld; gzj;jpd;
gFjpia mj;jpthuj;jpw;Fk; fhzpia KOikahf nrg;gdpLtjw;Fk;
3
gad;gLj;;j Ntz;Lk;.
3
 mj;jpthuj;jpw;Fk; fhzp nrg;gdpLtjw;Fk; nryT nra;j gpd; kPjpg; gzj;jpd;
gFjpia
14
MNuhf;fpak; NgZk; tplaq;fSf;fhf gad;gLj;j Ntz;Lk;.
i. NkNy epge;jidfis Vw;Wf;nfhz;L flidg; ngw;w jpU. rpwpjh] mj;jpthuj;jpw;Fk;> fhzpia
nrg;gdpLtjw;Fk; gad;gLj;jpa gpd;du; kPjpg; gzk; KOg;gzj;jpd; vd;d gpd;dk; ?
ii.
jpU rpupjh] MNuhf;fpak; NgZk; tlaq;fSf;fhf gad;gLj;jpa gzk; KO gzj;jpd; vd;d gpd;
dkhFk; ?
iii. jpU rpwpjh] MNuhf;fpak; NgZk; tplaq;fSf;fhf gad;gLj;jpa gzj;ij tpl &gh 20 000 mjp
fkhf mj;jpthuj;jpw;Fk; fhzp nrg;gdpLtjw;Fk; nryT nra;jhnudpd; mtu; ngw;w fld; gzj;
ijf; fhz;f.
iv. jpU rpwpjh]tpd; fhzpapd; ngWkjp fhz;f.
02.
A
E
45
B
0
28 m
F
D
ii.
Miur;rpiw AEF ,dhy; fhl;lg;gLtJ> nrt;tfk; ABCD
tbtpyhd epyg; gFjpapy; epu;khdpf;fg;glTs;s etPd fl;bl
nkhd;wpd; epy mikg;gpd; gUkl;lhd glkhFk;. AF = 28 m
MtNjhL EB vd;gJ gpujhd EiothapyhFk;.
i. AEF Miur;rpiwahdJ> mNj MiuAila tl;lj;jpd;
vd;d gpd;dkhFk; ?
C
fl;blk; epu;khdpf;fg;gLk; AEF Miur;rpiwg; gFjpapd; gug;gsitf; fhz;f.
iii. ABCD epyj;jpd; gug;gsT> AEF Miur;rpiwapd; gug;gstpYs;s %d;W klq;nfdpd>; EB Eis
thapypd; ePsj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 67
www.lkedu.lk
iv. EF tpy;ypd; ePsk; ahJ ?
v.
cUtpy; epow;wg;gl;Ls;s fl;blj;jpw;F ntspNaAs;s epyg;gug;gpd; Rw;wsitf; fhz;f.
03.a. jpU tp[pj vd;gtUf;F tUl tUkhdj;jpd; Kjy; &gh500 000 ,w;F tuptpyf;F toq;fg;gl;Ls;sJ
kPjpf;F 4% tUkhdtup nrYj;j Ntz;Lk;. mtuJ khj tUkhdk; &gh 55 000 MFk;.
i. jpU tp[pj mtu;fspd; tUl tUkhdj;ijf; fhz;f.
ii.
jpU tp[pjtpdhy; nrYj;j Ntz;ba tUkhd tupiaf; fhz;f.
b. xU ntFrd Clfnkhd;W &gh 12 re;ij tpiyf;F gq;nfhd;iw tpw;gid nra;Ak;NghJ jpU.
tp[pj &gh 72 000 I KjyPL nra;J gq;Ffis nfhs;tdT nra;jhu;. ntFrd ClfkhdJ
md;iwa jpdk; &gh 3.50 I gq;fpyhgkhf toq;FfpwJ.
i. jpU tp[pj nfhs;tdT nra;j gq;Ffspd; vz;zpf;if ahJ ?
ii.
ntFrd Clfj;jpd; re;ij tpiy &gh 15 Mf ,Uf;Fk; NghJ jpU tp[pj rfy gq;FfisAk;
tpw;gid nra;jhu;. mtu; gq;Ffis tpw;w kWjpdk; gq;fpyhgk; toq;Ftjhf ntFrd Clfk;
mwptpj;jpUe;jJ.
1. jpU tp[pj ngw;Wf;nfhz;l %yjd ,yhgk; ahJ ?
2.
tp[pj gq;Ffis tpw;gid nra;a tpy;iynad;why; mtu;fSf;Ff; fpilf;Fk; mD$yk;
ahJ ?
04.a. ,uz;lhk; Kiw vLj;jy;
fh2
fh1
g3
g2
g1
g1
g2
g3
fh1 fh2
Kjy; Kiw vLj;jy;
Grade :- 10 , 11
ngl;bnahd;wpy; tbtpYk; mstpYk; rkdhd 5 tpshk;fspy;
3 gOj;jitfSk; 2 fha;fSk; ,Ue;jd. gpupae;jd ,g;ngl;
bapypUe;J vOkhwhf xd;iw ntspNa vLj;jhd;. mJ gOj;
jjhf ,Ue;jhy; khj;jpuk; mjid jdJ jq;iff;F nfhL
j;jhd;. gOf;fhj gokhapUe;jhy; mjid kPz;Lk; ngl;bapyp
l;L ,d;Dk; xd;iw vOkhwhf vLj;jhd;.
i. ,e;epfo;r;rpf;fhd khjpupntspia nea;aupapy; Fwpj;Jf;
fhl;Lf.
ii. ntspNa vLf;fg;gl;l ,uz;Lk; gOj;j tpshk; goq;fshf
,Ug;gjw;fhd epfo;jfitf; fhz;f.
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 68
b. i.
www.lkedu.lk
thfdq;fspd; Gif gupNrhjid nra;Ak; epiyankhd;wpy; mDgtj;jpw;F Vw;g Kr;rf;futz;b
nahd;W ghtizf;F jFjpaw;wjw;fhd epfo;jfT 3/8 MtNjhL Nkhl;lhu;irf;fpnshd;W jFjpa
w;wjw;fhd epfo;jfT 1/7 vdf; $wg;gl;lJ.xU Kr;rf;futz;b gupNrhjpf;fg;gl;l epfo;r;rpf;fhd
rpj;jpaile;j> rpj;jpailahj vdgijf; fhl;Lk; G+uzkw;w kutupg;glnkhd;W fPNo toq;fg;gl;L
s;sJ. ,ilntspfisg; G+uzg;gLj;Jf.
............
rpj;jpaile;j
............
rpj;jpailahj
mjd; gpd; gupNrhjpf;fg;gl;l Nkhl;lhu; irf;fpYf;fhd rpj;jpaile;j> rpj;jpailahj epfo;r;rpf
is fhl;Ltjw;F kutupg;glj;ij ePl;Lf.
iii. xU thfdk; khj;jpuk; rpj;jpailahikahf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
ii.
05.a. fzpj ghl nrayku;T xd;wpd; NghJ Nkw;nfhs;sg;gl;l fzpg;gPL xd;wpy; 25 Gs;spfspy; Kjyhk;
kzpj;jpahsj;jpy; khztu;fs; ngw;Wf;nfhz;l Gs;spfs; gw;wpa G+uzkw;w ml;ltiz xd;wpy; fPNo
jug;gl;Ls;sJ.
khztu; vz;zpf;if
i. tiyAU tiuaj;
35
ijf; nfhz;L ml;
Gs;spfs; khztu;
ltizapd; ,il
njhif
30
ntspfis epug;Gf
0–5
.............
25
5 – 10
.............
ii. ml;ltizapYs;s
10 – 15
20
juTfSf;F Vw;g
20
15 – 25
20
tiyAU tiuaj;
15
ij G+uzg;gLj;Jf
10
5
5 – 10
b.
10 – 15
10
300 15 – 25
0–5
10
5
10
15
20
25
30
Gs;sp
NkNy Gs;sp ml;ltiziaj; jahupj;j NghJ Kjyhk; kzpj;jpahsj;
jpy; rpy khztu;fspd; Gs;spfs; gjpag;gltpy;iynad fz;lwpag;gl;lJ
mtu;fs; 0 – 5 tFg;ghapilapy; cs;thq;fg;gltpy;iy. gpd;du; mtu;f
spd; Gs;spfisAk; cs;thq;fg;gl;L tl;ltiuG tiuag;gl;Ls;sJ.
i.
tl;l tiuGf;F Vw;g nrayku;Tf;F tUifje;j khztu;fspd; vz;zpf;ifiaf; fhz;f.
ii.
NkNy a gFjpapy; tiyAU tiuaj;jpy; cs;thq;fg;glhj khztu;fspd; vz;zpf;ifiaf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 69
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MATHS MODEL PAPER
PART – I B
01.a. RUf;Ff.
1
1
,d; (
4
2
5
24
1
)
2
b. ghlrhiyf; fl;llk; xd;wpd; jiug;gFjpapd; gug;gstpy;
5
gFjp tFg;giwfSf;fhf gad;gLj;jg;
8
i.
2
gq;F E}yfj;Jf;Fg; gad;gLj;jg;gl;lJ.
3
tFg;giwf;F xJf;fpa gpd;du; vQ;rpa gFjp vd;d gq;F ?
ii.
E}yfj;Jf;F xJf;fg;gl;l gFjp jiuapd; gug;gstpy; vd;d gq;F ?
gl;l mNj Ntis kpFjpapd;
iii. ,Wjpahf vQ;rpa 200 m2 gug;gsT fhupahyaj;Jf;Fg; gad;gLj;jg;gl;lJ vdpd; fl;llj;jpd;
nkhj;jg; gug;gsitf; fhz;f.
02. A
21 m
B
C
28 m
35 m
E
ii.
36 m
cUtpy; fhl;lg;gl;bUg;gJ tPl;Lj; Njhl;lnkhd;
wpd; fpilg;glkhFk;. cUtpYs;s juTfis
mtjhdpj;J
i. tpy; DC ,d; ePsk; fhz;f.
D
tPl;Lj;Njhl;lj;jpd; Rw;wsitf; fhz;f.
iii. tPl;Lj;Njhl;lj;jpd; vy;iy topNa 3 m ,ilntspapy; Ntypf; fk;gk; elg;gl Ntz;bAs;sJ.
Njitahd Ntypf;fk;gq;fspd; vz;zpf;ifiaf; fhz;f.
iv. tPl;Lj; Njhl;lj;jpd; gug;gsitf; fhz;f.
03.a. mur cj;jpNahfj;ju; xUtupd; khjhe;j rk;gsj;jpy; nryT nra;j njhiff;Fk;> kPjg;gLj;jpa
njhiff;Fk; ,ilNa cs;s tpfpjk; 7 : 1 MFk;.
i. kPjg;gLj;jpa njhif &gh 10 000 vdpd; khjhe;j rk;gsk; vj;jid &gh ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 70
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1
gq;F mjpfupj;j mNj Ntis
4
jw;NghJ nryT nra;jnjhiff;Fk;> kPjpj;njhiff;Fk; ,ilNa cs;s tpfpjk; 9 : 1 MFk;.
ii. jw;Nghija rk;gsj;ijf; fhz;f.

rpy khjq;fspd; gpd;du; mtuJ rk;gsk; Kd;id ark;gsj;jpy;
iii. rk;gsk; mjpfupj;j rjtPjj;jpYk; $ba rjtPjj;jpy; nryT mjpfupj;Js;sJ vdf; fhl;Lf.
b. 15% vspa tl;bf;F &gh 50 000 I tq;fpnahd;wpy; itg;Gr; nra;j xUtUf;F rpy fhyq;fspd; gpd;
du; &gh 80 000 fpilj;jnjdpd; vt;tsT fhyj;jpd; gpd;du; KOg;gzj;ijAk; vLj;jpUg;ghu; ?
04.
guPl;irnahd;wpy; 30 khztu;fs; ngw;Wf; nfhz;l Gs;sp fPNo fhl;lg;gl;Ls;sJ. guPl;irapy; mj$
ba Gs;sp 60 MFk;.
7, 9, 12, 14 , 16, 17, 19, 21, 23, 24, 24, 24, 25, 26, 28, 32, 33, 35, 36, 38, 38, 39, 42, 43, 45, 47, 49, 52,
54, 56
i. Gs;spfspd; Mfhuk; ahJ ?
ii. Gs;spfspd; ,ilak; ahJ ?
iii. ,g;Gs;spfs; gpd;tUk; ml;ltizapy; $l;lkhf;fpf; fhl;lg;gl;Ls;sJ.
a. ml;ltizapy; cs;s ,ilntspfis epug;Gf.
b. ml;ltizf;Fupa G+uzkw;w tiyAU tiuak; fPNo fhl;lg;gl;Ls;sJ. tiyAU tiuaj;
ij G+uzg;gLj;Jf.
c. tiyAU tiuaj;ijg; gad;gLj;jp kPbwd; gy;Nfhzpia tiuf.
khztu;
vz;zpf;if 8
Gs;sp
tFg;ghapil
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
7
6
5
tutf;Fwp
kPbwd;
//
////
02
4
3
2
1
- 10
0
Grade :- 10 , 11
10
20
30
40
50
60
70 80
Gs;sp Mapil
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 71
05.
www.lkedu.lk
ignahd;wpy; rptg;G khgps; %d;Wk;> ePy khgps; ,uz;Lk; cs;sd. igapy; ,Ue;J vOkhw;whf xU
khgpiy vLj;J mjd; epwk; mtjhdpf;fg;gLfpwJ. mk;khgpiy kPz;Lk; igapDs; ,lkhy;
,d;DnkhU khgps; vLf;fg;gLfpwJ.
i. ,e;epfo;r;rpia gpd;tUk; nea;aupapy; Fwpj;Jf; fhl;Lf.
2 k; Kiw vLj;jy;
B2
B1
R3
R2
R1
R1
R2
R3
B1
1 k; Kiw vLj;jy;
ii.
B2
Kjyhk; KiwAk;> ,uz;lhk; KiwAk; xNu epw khgps; fpilf;Fk; epfo;r;rpia nea;aupapy;
Fwpj;Jf; fhl;b> mjd; epfo;jfitf; fhz;f.
igapy; rptg;G khgps; xd;Wk;> ePy khgps; xd;Wk; gOjile;jpUe;jJ. KjyhtJ vLj;j khgps; ey;y
khgps; vdpd; ,uz;lhtJk; xU khgps; vLf;fg;gl;lJ. KjyhtJ vLj;j khgps; gOjile;jJ
vdpd; mjid igapy; ,l;L kPz;Lk; xU khgps; vLf;fg;gl;lJ.
iii. ,j;jftiy fPNo cs;s kutupg;glj;jpy; Fwpj;Jf;fhl;b mjd; epfo;jfTfisf; Fwpf;f.
2 k; Kiw
1 k; Kiw
...............
3
5
ey;y khgps;
...............
B
...............
gOjile;j
khgps;
ey;y khgps;
gOjile;j
khgps;
...............
ey;y khgps;
.............
..
gOjile;j
khgps;
iv. ,uz;L KiwAk; ey;y khgps; fpilg;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 72
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MATHS MODEL PAPER
PART – I B
01.
25
rpuh]; vd;gtu; jhd; Nru;j;Jitj;j gzj;jpypUe;J fhzpnahd;iw thq;fp mjpy; tPnlhd;iwf;
11
fl;bdhu;. mtw;Wf;fhf jhd; Nru;j;J itj;j gzj;jpd;
nrythfpaJld; fhzpia thq;Ftjw;
15
1
fhf
nrythfpaJ.
3
i. rpuh]; tPl;ilf; fl;Ltjw;F nryT nra;j gzk; nkhj;j gzj;jpd; vd;d gpd;dkhFk; ?
3
I nryT nra;J tPl;Lj;
4
jsghlq;fs; thq;fpdhu;. mJ jhd; Nru;j;Jitj;j gzj;jpd; vd;d gpd;dkhFk; ?
rpuh]; fhzpia thq;fp tPl;ilf; fl;ba gpd; kPjpg; gzj;jpypUe;J
ii.
iii. NkNy nryTfspd; gpd; kPjpg;gzj;ij mtu; tq;fpapy; itg;Gr; nra;jhu;. mJ mtu; Nru;j;Jit
1
j;j gzj;jpd;
MFk;. rpuh]; jsghlq;fis thq;fpa gzk;> tq;fpapy; itg;Gr; nra;j
15
gzj;jpYk; vj;jid klq;fhFk; ?
iv. rpuh]; tq;fpapy; itg;Gr; nra;j gzk; &gh 180 000 vdpd; mtu; Nru;j;J itj;jpUe;j gzj;
ijf; fhz;f.
O
02.
A
B
cUtpy; fhl;lg;gl;Ls;s Rtu; myq;fhuj;jpy; ABCD, CED vd;gd
KiwNa rJu tbtj;ijAk;> miu tl;l tbtj;ijAk; cilaJ.
i. ABO tbtj;jpw;F kpfTk; nghWj;jkhd tpN\l ngaiu vOjf
ii.
miutl;l tbtj;jpd; tpy;ypd; ePsj;ijf; fhz;f.
14 cm
D
C
iii. miutl;l tbtj;jpdJk; ABCD tbtj;jpdJk; gug;gsTfSf;
F ,ilapyhd tpfpjk; 11 : 28 vdf; fhz;f.
E
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 73
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iv. OAB tbtj;jpd; gug;gsT 49 cm2 vdpd;> Rtu; myq;fhuj;jpd; nkhj;j cauj;ijf; fhz;f.
03.a. xU epWtdkhdJ jdJ %yjdj;ij Nrfupj;Jf;nfhs;tjw;fhf gq;nfhd;wpd; tpiy &gh 8 tPjk;
600 000 gq;Ffis kf;fSf;F tpw;gid nra;jJ. RNu]; ,e; epWtdj;jpy; 12 000 gq;Ffis
thq;Ftjw;F KjyPL nra;jhu;.
i. RNu]; ,e; epWtdj;jpy; KjyPL nra;j gzj;ijf; fhz;f.
ii.
rNu]; vd;gtUf;F ,e;epWtdj;jpYs;s cupikia rjtPjkhff; fhl;Lf.
iii. epWtdkhdJ tUl ,Wjpapy; &gh 30 000 I RNu]; vd;gtUf;F gq;fpyhgkhf toq;fpaJ.
gq;nfhd;wpw;F toq;fpa gq;fpyhgj;ijf; fhz;f.
b. fhzpnahd;iw tpwgid nra;J nfhLg;gjw;fhf juF epWtdnkhd;W 3% juFg;gzj;ij ngWk;.
i. &gh 800 000 ,w;F tpw;gid nra;ag;gl;l fhzpf;fhd juFg; gzj;ijf; fhz;f.
ii.
juFg; gzj;ij nrYj;jpagpd; fhzp nrhe;jf; fhuUf;Ff; fpilf;Fk; gzj;ijf; fhz;f.
04.a. xU fzzp tpisahl;L ,U kl;lq;fspy; eilngWk;. mjpy; Kjyhk; kl;lk; ntw;wp ngw;why; ,uz;
lhk; kl;lj;jpy; tpisahlyhk;. Njhy;tpaile;jhy; kPz;Lk; Kjyhk; kl;lj;jpy; tpisahl NeupLk;.
,t;tpisahl;by; <LgLk; fRd; Kjyhk; kl;lj;jpy; ntw;wpngUtjw;fhd epfo;jfT 4/5 MtNjhL>
,uz;lhk; kl;lj;jpy; ntw;wp ngUtjw;fhd epfo;jfT 1/3 MFk;.
i. fRd; NkNy tpisahl;il ,U jlitfs; tpisahLfpd;whd;. mtd; mjpy; ntw;wpia my;yJ
Njhy;tpiag; ngWtjw;fhd epfo;jfitf; fhl;Lk; G+uzkw;w kutupg;glnkhd;W fhl;lg;gl;Ls;sJ
mtw;wpd; ntw;wplq;fis epug;Gf.
,uz;lhk;; re;ju;g;gk;
Kjyhk; re;ju;g;gk;
ntw;wp
............
4
5
ntw;wp
Njhy;tp
............
............
............
Njhy;tp
............
ii.
ntw;wp
Njhy;tp
kutupg;glj;jpw;F Vw;g fRd; ,uz;lhk; re;ju;g;gj;jpy; ntw;wpngWtjw;fhd epfo;jfitf; fhz;f
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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fRd;
b.
rkd;
ii.
fRdpd; fzzpapy; P1 , P2 , P3 vd %d;W tpisahl;Lf;fSk;
rkdpd; fzzpapy; P1 , P2 , P3 , P4 vd ehd;F tpisahl;Lf;fS
k; cs;sd. xU re;ju;g;gj;jpy; fRDk; rkDk; jq;fs; fzzpf
spy; vOkhwhf xU tpisahl;by; <Lgl;ldu;. ,t;thW mtu;fs;
,UtUk; vOkhwhf ve;j tpisahl;bYk; <LgLtjw;fhd re;ju;g;
gq;fs; midj;ijAk; mUNf nea;aupapy; Fwpj;Jf; fhl;Lf.
i. fRd;>rkd; Mfpa ,UtUk; xUtUf;nfhUtu; ntt;Ntwhd
tpisahl;Lf;fspy; <LgLtjw;fhd epfo;r;rpfis nea;aupapy;
fl;lkpl;Lf;fhl;b mjid A vdg; ngaupLf.
P ( A l ) If; fhz;f.
05.
0 – 20
40 – 50 ............. 20 – 30
............. 2y
2y
x
30 – 40
.............
y
.............
...........
50 – 60
nkhj;jg; Gs;spfs; 60 cila xypk;gpahl; tpdhg;gj;jpunkhd;wpy;
khztu; FOnthd;W ngw;Wf;nfhz;l Gs;sp Mapiliaf; Fwpf;Fk;
tl;ltiuG mUNf fhl;lg;gl;Ls;sJ. mjpy; 50 – 60 ,w;F ,ilapy;
Gs;spiag;ngw;w khztu;fs; 04 Ngu; Mtu;. mjd; ikaf; Nfhzk;
300 MFk;.
i. xt;nthU ikaf; Nfhzq;fisAk; fz;L tl;l tiugpy; ntw;wp
lj;jpy; Fwpf;f.
ii.
0 – 20
20 – 30
30 – 40
40 – 50
50 – 60
xt;nthU Gs;sp Mapilf;Fk; cupa khztu;fspd;
vz;zpf;ifiaf; fz;L mUNf ml;ltizia
epug;Gf.
iii. NkNy ii ,y; jfty;fis tiyAUtpy; fhl;b kPbwd; gy;Nfhzpia tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
Milj;njhopw;rhiy xd;wpy; gzpGupNthupy;
01.
1
gq;fpdu; Mz;fshtu;. ngz;fSs;
4
26
2
gq;fpdu;
3
Mil ijf;Fk; nraw;ghl;by; <Lgl;ldu;.
i. nkhj;j gzpGupNthupy; ngz;fs; vd;d gq;F ?
ii.
Mil ijf;Fk; nraw;ghl;by; <Lgl;ltu;fspd; gq;F ahJ ?

Mil ijf;Fk; nraw;ghl;by; <Lglhj ngz;fSs;
1
gq;fpdu; nghjpnra;Ak; nraw;ghl;by;
2
<Lgl;ldu;.
iii. nghjpnra;Ak; nraw;ghl;by; <Lgl;Nlhu; gzpGupNthupy; vd;d gq;F ?
iv. nghjpnra;Ak; nraw;ghl;by; <Lgl;Nlhu; vz;zpf;if 20 Ngu; vdpd;> Milj;njhopw;rhiyapy;
gzpGupAk; Mz;fs; vj;jid Ngu; ?
02. A
P
B
cUtpy; xU gf;fj;jpd; ePsk; 70 m MfTs;s xU rJuj; Njhl;lk;
fhzg;gLfpwJ. ,jDs;Ns fhy;tl;lf; Fsk; BPQ fhzg;gLfpwJ.
i. tpy; PQ ,d; ePsj;ijf; fhz;f.
Q
ii.
D
70 m
Fsk; jtpu;e;j epyg;gFjpapd; Rw;wsitf; fhz;f.
C
iii. Fsk; jtpu;e;j epyg;gFjpapd; gug;gsitf; fhz;f.
iv. 1 m2 gug;gstpy; Gy; eLtjw;F &gh 50 nrythFk; vdpd;> tpdh iii ,y; $wg;gl;l gFjpf;F
Gy; eLyjw;Fr; nrythFk; gzk; vj;jid &gh ?
v.
Fsj;jpd; gug;gsTf;Fr; rkdhd gug;gsTilaJk; DC I Xu; vy;iyahff; nfhz;lJkhd
xU Kf;Nfhz tbtj; Njhl;lj;ij cupikahsu; thq;fpdhu;. thq;fg;gl;l Njhl;lj;ij gUk
l;lhf tiue;J mstPLfSld; Fwpj;Jf; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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03.a. utp &gh 75 000 IAk; nkh`kl; &gh 100 000 IAk; ,l;L tpahghuk; xd;iw Muk;gpj;jdu;. mjw;F
%d;W khjq;fspd; gpd;du; mky; &gh 150 000 I Kjypl;L ,t;tpahghuj;jpy; Nru;e;J nfhz;lhd;.
i. tpahghuk; Muk;gpf;fg;gl;L xU tUlj;jpd; gpd;du; fpilf;Fk; ,yhgj;ij %tUf;Fk; ,ilNa
gpupf;f Ntz;ba tpfpjj;ijf; fhz;f.
ii.
tUl Kbtpy; fpilj;j tUkhdk; &gh 300 000 ,y; 8% I tpahghu eltbf;iff;fhf xJf;fp
tpl;L vQ;rpa ,yhgj;ij %tUk; gpupj;Jf; nfhz;ldu;.
1. tpahghu eltbf;iff;fhf xJf;fpa gpd;du; gq;fplg;gl;l gzj;njhif ahJ ?
2.
mky; ngw;w ,yhgj;ijf; fhz;f.
b. ,t;tpahghuj;jpd; NghJ &gh 25 000 f;F nfhs;tdT nra;ag;gl;l kpd; cgfuznkhd;W &gh
30 000 f;F tpw;fg;gl;lJ. ngwg;gl;l ,yhg rjtPjj;ijf; fhz;f.
04.
2 k; Kiw vLj;jy;
khztd; xutdpd; igapy; 3 ePyg; ngidfSk; 2 rptg;Gg;
NgidfSk; ,Ue;jd. mtd; mtw;wpy; ,Ue;J vOkhwhf
xU Ngidia vLj;J mjd; epwj;ijf; Fwpj;Jf; nfhz;
l gpd;du; kPz;Lk; ngl;bapy; ,l;L ,d;Dk; xU Ngidia
vLf;fpwhd;.
i. ,r;nra;ifapd; NghJ ngwg;gLk; NgWfis gpd;tUk;
nea;aupapy; Fwpj;Jf; fhl;Lf.
ii. ,r;nra;ifapd; NghJ xU rptg;Gg; NgidahtJ
fpilg;gjw;fhd epfo;jfitf; fhz;f.
R2
R1
B3
B2
B1
B1 B2
B3
R1
1 k; Kiw vLj;jy;
R2
iii. NkNy jug;gl;l nraw;ghl;il gpd;tUk; kutupg;glj;jpy; Fwpj;Jf; fhl;Lf.
1 k; Kiw
2 k; Kiw
rp
..........
.P
..........
.P
..........
.P
..........
.P
..........
eP .P
rp
eP
rp
eP
..........
.P
iv. kutupg;glj;ijg; gad;gLj;jp xU KiwahtJ rptg;Gg; Ngid fpilf;Fk; epfo;jfitf; fhz;f
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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05.
rpq;fs
,yf;fpak; Mq;fpy
,yf;fpak;
500
jkpo;
,yf;fpak;
muG
,yf;fpak;
www.lkedu.lk
xU Fwpj;j ghlrhiyapy; juk; 10 ,y; gapYk; khztu;fs; jkpo;
,yf;fpak;> M;fpy ,yf;fpak;> muG ,yf;fpak;> rpq;fs ,yf;fpak;
Mfpa ghlq;fSs; xU ghlj;ij khj;jpuk; njupe;njLf;f Ntz;Lk;.
khztu;fs; ghlq;fisj; njupT nra;j tpjk; tl;l tiugpy;
fhl;lg;gLfpwJ.
i.
Mq;fpy ,yf;fpaj;ijj; njupT nra;j khztu;fs; nkhj;j khztu; njhifapd; vd;d gq;F ?

rpq;fs ,yf;fpaj;ijj; njupT nra;j khztu;fs;> muG ,yf;fpaj;ijj; njupT nra;j
1
khztu;fspd;
klq;fhFk;.
2
jkpo; ,yf;fpaj;ijj; njupT nra;j khztu;fisf; Fwpf;Fk; Miur;rpiwf; Nfhzk; vj;jid
ghif ?
ii.
iii. rpq;fs ,yf;fpaj;ijj; njupT nra;j khztu;fs; vz;zpf;if 5 vdpd;> tFg;gpy; cs;s
nkhj;j khztu; vz;zpf;if ahJ ?
iv. rpy ehl;fSf;Fg; gpd;du; rpq;fs; ,yf;fpag; ghlj;ijj; njupT nra;j rfy khztu;fSk; muG
,yf;fpag; ghlj;ijj; njupT nra;j xU khztDk; ghlrhiyia tpl;L tpyfpr; nrd;wdu;.
khwpa juTfSf;Nfw;g tiuag;gl;l tl;l tiugpy; jkpo; ,yf;fpaj;ij tiff; Fwpf;Fk;
Miur;rpiwf; Nfhzk; vj;jid ghif ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 78
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MATHS MODEL PAPER
PART – I B
01.
27
2
I jdJ kfDf;Ff; nfhLj;jhu;. R[pj; jkf;Ff;
3
2
1
fpilj;j gzj;jpy;
I Nghf;Ftuj;J nryTf;Fk; kPjpg; gzj;jpy;
I Gj;jfq;fs; thq;Ftjw;
5
3
Fk; nryT nra;jhd;. kPjpg; gzj;ij ifr;rl;il xd;Wk; fhw;rl;il xd;Wk; thq;Ftjw;F nryT
nra;jhd;.
i. R[pj; Nghf;Ftuj;Jf;F nryT nra;j njhif je;ijaplk; ,Ue;j gzj;jpy; vd;d gq;fhFk; ?
R[pj;jpd; je;ij jk;kplk; ,Uf;Fk; gzj;jpy;
ii.
mtd; irr;rl;ilAk; fhw;rl;ilAk; thq;Ftjw;F nrytspj;j njhif je;ijaplk; ,Ue;j
gzj;jpd; vd;d gq;fhFk; ?
iii. fhw;rl;ilia &gh 2 000 ,w;F thq;fpaNjhL ifr;rl;ilf;fhf nrythfpaJ mj;njhifapd;
3
vdpd; R[pj;Jf;F jdJ je;ij nfhLj;j gzj;ijf; fhz;f.
5
02.
Rdpy; gq;nfhd;wpw;F &gh 4 gq;fpyhgk; toq;Fk; A vDk; fk;gdp xd;wpy; &gh 30 gq;Ffis
nfhs;tdT nra;tjw;F &gh 60 000 I KjyPL nra;fpd;whu;. fky; 20% tUlhe;j tl;br; rjtPj
mbg;gilapy; &gh 60 000 I tq;fpf; fzf;nfhd;wpy; itg;Gr; nra;jNjhL tl;b fzpf;fg;gLtJ
miuahz;L mbg;gilapyhFk;.
i. RdpYf;F xU tUl Kbtpy; fpilf;Fk; gq;fpyhg tUkhdj; ijf; fhz;f.
ii.
xU tUl Kbtpy; ,UtupYk; ahUf;F $Ljyhd tUkhdj;ij ngw;Wf; nfhs;s KbAk; ?
iii. fky; xU tUl Kbtpy; jdJ tq;fpf; fzf;fpy; ,Ue;j KOg; gzj;ijAk; B vd;w fk;gdpapy;
&gh 30 gq;Ffis thq;Ftjw;F KjyPL nra;jhu;. mjdhy; mtdJ tUlhe;j tUkhdk;
&gh 4 340 ,dhy; mjpfupj;jJ. B vd;w fk;gdp gq;nfhd;Wf;F toq;Fk; gq;fpyhgj;ijf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 79
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03. J}uk; / km
utp jdJ tPl;by; ,Ue;J
jdJ Nkhl;lhu; thfdj;
jpy; efupy; cs;s E}y;
epiyaj;jpw;F gazk;
nra;j tpjk; mUNf J}u
Neu tiugpy; fhl;lg;gl;L
s;sJ.
i. utpapd; tPl;by; ,Ue;J
E}y; epiyaj;jpw;F
cs;s J}uj;ijf;
fhz;f.
40
35
30
25
20
15
10
5
0
ii.
10
20
30
40
50
60
70
80
90 100
Neuk; (epkplk;)
Nkhl;lhu; thfdj;jpd; Ntfk; kzpj;jpahyj;jpw;F vj;jid fpNyh kPw;wu; ?
iii. utp E}y; epiyaj;jpy; nrytpl;l fhyj;ijf; fhz;f.
iv. mtu; E}y; epiyaj;jpw;F gazk; nra;j ghijapy; 90 kmh- 1 Ntfj;jpy; tPl;Lf;F jpUk;gp te;jhu;
vdpd; jpUk;gp te;j gazj;jpw;Fupa J}u Neu tiuig ,t; tiugpNy tiue;J fhl;Lf.
v.
04.
E}y; epiyaj;jpy; nrytpl;l fhyj;ij Gwf;fdpj;J KOg;gazj;jpw;Fkhd Nkhl;lhu; thfdj;jpd;
ruhrup Ntfj;ijf; fhz;f.
A vd;gJ xU fpupf;fl; mzpahFk;. ,t;tzp eilngwtpUf;Fk; Nghl;bj; njhlnuhd;wpw;F gq;F gw;
wTs;sNjhL mtu;fs; Kjy; Nghl;b kw;Wk; ,uz;lhtJ Nghl;bapy; ntw;wp ngwf;$ba rhj;jpaf;$W
gw;wpa jfty;fs; jug;gl;Ls;sJ. ,t;tzp Kjy; Nghl;bapy; ntw;wp ngwf; $ba epfo;jfT 9/10
MtNjhL Kjy; Nghl;bapy; ntw;wp ngw;why; ,uz;lhtJ Nghl;bia ntw;wp ngwf; $ba epfo;jfT
3/5 MFk;. Kjy; Nghl;bapy; Njhy;tp mile;jhy; ,uz;lhtJ Nghl;bapy; Njhy;tp miltjw;fhd
epfo;jfT 4/5 MFk;.
i. ,t;tzp KjyhtJ Nghl;bia ntw;wp ngWtjw;F my;yJ Njhy;tp miltJ njhlu;ghf tiua
g;gl;Ls;s G+uzkw;w ku tupg;glnkhd;W fPNo jug;gl;Ls;sJ. mjidg; G+uzg;gLj;Jf.
KjyhtJ Nghl;b
..............
..............
Grade :- 10 , 11
ntw;wpngWjy;
Njhy;tp miljy;
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 80
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,t;tzp ,uz;lhtJ Nghl;bapy; ntw;wp ntw;wp my;yJ Njhy;tp miltijf; fhl;Lk; tifapy;
kutupg; glj;ij tpupT gLj;Jf.
iii. ,t;tzp Fiwe;jJ xU Nghl;bapyhtJ Njhy;tp milAk; epfo;jfitf; fhz;f.
ii.
,uz;lhtJ Nghl;b
B5
,t;tzpapy; Muk;g JLg;ghl;lf; fhuu;fs; Ie;J
Ngupy; xUtu; Kjy; Nghl;bapy; rjj;ijAk; ,uz;lh
tJ Nghl;bapy; ,d;DnkhU rjj;ijAk; ngWthu;
vd vjpu;ghu;j;jhy; mJ ,lk; ngwf; $ba Kiw
iaf; fhl;Lk; gpd;tUk; Gs;sp tiuig G+uzg;gLj;Jf
v.
B4
B3
B2
B1
B1
05.
B2
taJ
(tUlk;)
5 – 15
15 – 20
20 – 25
25 – 30
30 – 35
35 – 45
45 – 60
B3
B4
B5
Kjy; Nghl;b
xU ehspy; kUj;Jt rpfpr;irf;fhf r%fkspj; Nehahsu;
gw;wpa jfty;fs; ml;ltizapy; jug;gl;Ls;sJ.
i. ,g;Gs;sp tpgu ml;ltizf;Nfw;g Mfhu tFg;G ahJ ?
Nehahsu;
vz;zpf;if
4
5
7
8
10
20
6
ii.
fPNo jug;gl;Ls;s mr;Rf;fisg; gad;gLj;jp ,j;jfty;fis
fhl;Ltjw;F tiyaU tiuak; xd;W tiuf.
Nehahsu; vz;zpf;if
12
10
8
6
4
2
5
10
15
20
25
30
35
40
45
50
55
60
65
taJ (tUlk;)
iii. tiyAU tiuaj;jpy; ,Ue;J kPbwd; gy; Nfhzpia tiuf.
iv. ,e;Nehahsu;fspy; 50% ,w;Fk; mjpfkhNdhu; 30 my;yJ mjdpYk; $Ljyhd taJilatu;fs;
vd Xu; khztu; $Wfpd;whu;. ,f; $w;wpd; cz;ik my;yJ cz;ikaw;w jd;ikia tpsf;Ff.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 81
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MATHS MODEL PAPER
PART – I B
01.a. RUf;Ff.
i.
(
1
6
1
4
) ÷
2
5
ii.
b. khztd; xUtd; jhd; nfhz;L te;j gzj;jpy;
1
28
2
4
1
÷ 1
x 1
5
5
7
1
1
gq;if Nghf;Ftuj;Jf;Fk; kPjpapy;
gq;if
4
3
fhiy czTf;Fk; gad;gLj;Jfpwhd;.
i. fhiy czTf;Fg; gad;gLj;jpa gzk; KOg; gzj;jpd; vd;d gq;F ?
ii.
3
gq;if gapw;rpg; Gj;jfk; thq;fg; gad;gLj;jpdhd; vdpd;>
4
gapw;rpg; Gj;jfk; thq;fpaJ KOg;gzj;jpd; vd;d gpd;dk; ?
mjd; gpd;du; vQ;rpa gzj;jpd;
iii. ,Wjpahf vQ;rpa gzk; &gh 50 vdpd;> mtd; Muk;gj;jpy; nfhz;L te;j gzk; vt;tsT ?
D
02.
20 m
E
A
ii.
C
14 m
ABCD vd;Dk; xU ikjhdKk;> ikjhdj;jpDs; AED
vd;Dk; xU miutl;l tbt rpWtu; tpisahl;Lj; jply;
xd;Wk; mikf;fg;gl;Ls;s tpjk; cUtpy; fhl;lg;gl;Ls;sJ
i. tpy; AED ,d; ePsj;ijf; fhz;f.
B
ABCDE ,d; Rw;wsitf; fhz;f.
iii. rpWtu; tpisahl;Lj; jplypd; gug;gsitf; fhz;f.
iv. ikjhdj;Jf;F ntspNa BC I Xu; vy;iyahff; nfhz;L 42 m2 gug;gsTila xU nrt;tf
tbt thfdj; jupg;gplk; mikf;f Ntz;bAs;sJ. thfdj; jupg;gplj;jpd; mikit tiue;J
mjd; ePs> mfyq;fisf; Fwpf;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 82
03.
www.lkedu.lk
kpd; cgfuzq;fis ,wf;Fkjp nra;J tpepNahfpf;Fk; epWtdk; xd;W> vy;yhg; nghUl;fSf;Fk;
24% ,yhgk; vjpu;g;ghu;j;J tpiy Fwpf;fpwJ.
i. &gh 1 200 f;F ,wf;Fkjp nra;j kpd; mOj;jp xd;wpd; Fwpj;j tpiy ahJ ?
ii.
tpw;gidapd; NghJ 10% foptpy; tpw;fg;gLk; vdpd;> toq;fpa fopT vj;jid &gh ?
iii. tpw;w tpiyiaf; fhz;f.
iv. mtu; mile;j ,yhgk; vj;jid &gh ?
v.
04.
,t;tpahghuj;jpd; %yk; 11% f;Fk; mjpfkhd ,yhgk; fpilf;fyhk; vd ,wf;Fkjpahsd;
vjpu;g;ghu;f;fpwhd;. mtuJ A+fk; rupahdjh? gpioahdjh ? fhuzk; jUf.
xU tpisahl;L epfo;r;rpapy; fye;J nfhz;l 40 khztu;fSs; 20 Ngu; Mz;fs;> 16 Ngu; 15 tajp
Yk; Fiwe;jtu;fSkhtu;. 6 Ngu; 15 tajpYk; $ba ngz;fshtu;.
i. ,j;jftiy jug;gl;l ntd;tupg;glj;jpy; Fwpj;Jf; fhl;Lf.
15 tajpYk; Fiwe;Njhu;
Mz;fs;
ii.
15 tajpYk; Fiwe;j Mz;fs; vj;jid Ngu; ?
iii. 15 taJf;F Nkw;gl;l Mz;fs; vj;jid Ngu; ?
iv. tpisahl;Lg; Nghl;bapy; fye;Jnfhz;l nkhj;j ngz;fs; vj;jid Ngu; ?
v.
,tu;fSs; xUtiu vOkhwhf njupT nra;Ak; NghJ mtu; 15 tajpYk; Fiwe;j ngz;zhf
,Ug;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 83
05.
www.lkedu.lk
Njrpa tpisahl;Lg; Nghl;bapy; Kjyplq;fisg; ngw;w 2 tPuu;fSk;> 3 tPuhq;fidfSk; cs;sdu;.
mtu;fSs; ,uz;L Ngiu ntspehl;L tpisahl;Lg; Nghl;bf;fhf mDg;Gtjw;Fj; jPu;khdpf;fg;gl;lJ
i. ,UtiuAk; njupT nra;af;$ba Kiwia fPNo cs;s nea;aupapy; milahskpl;Lf; fhl;Lf.
,uz;lhk;; njupT
G3
G2
G1
B2
B1
B1
ii.
B2
G1
G2
G3
Kjyhk; njupT
njupT nra;ag;gl;l ,UtUk; ngz;fshf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
iii. xUtu; MzhfTk;> kw;nwhUtu; ngz;zhfTk; ,Ug;gjw;fhd epfo;jfitf; fhz;f.
iv.a. ,e;epfo;tpd; Kjyhk; njupT fPNo kutupg;glj;jpy; fhl;lg;gl;Ls;sJ. mjd; ,ilntspfis
epug;Gf.
Kjyhk; njupT
,uz;lhk; njupT
2
5
Mz;fs;
.............
ngz;fs;;
b. ,uz;lhk; njupTf;fhf kutupg;glj;ij tpupTgLj;jp mjpy; epfo;jfitf; Fwpf;f.
c. ,uz;L njupTk; ngz;zhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 84
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MATHS MODEL PAPER
PART – I B
01.
tptrhap xUtu; xUtUf;F jdJ ney; mWtilapd;
fhzp cupikahsu; jdf;F fpilj;j ney;ypd;
29
3
,id fhzp cupikahsUf;F toq;fpdhu;.
4
3
I tpw;gid nra;jJld; kpFjpia jdJ
5
ghtidf;F itj;Jf; nfhz;lhu;.
i. tptrhapf;F fpilf;Fk; msT KO mWtilapd; vd;d gpd;dk; ?
fhzp cupikahsu; jdJ ghtidf;fhf itj;Jf; nfhz;l msT KO mWtilapd; vd;d
gpd;dk; ?
ii.
iii. fhzp cupikahsu; ghtidf;F itj;Jf;nfhz;l ney;ypd; msT 600 kg Mapd; tptrhapf;F
fpilj;j ney; mWtilapd; KO msT ahJ ?
02.
A
10 m
E
B
12 m
7m
D
C
16 m
ii.
ruptf tbthdf; fhzp ABCD ,y; epu;khzpf;fg;glL
s;s BCE vDk; Miur;rpiw tbt mj;jpthuk; xd;W
cUtpy; epow;wg;gl;L fhl;lg;gl;Ls;sJ.
i. Miur;rpiw BCE ,d; gug;gsitf; fhz;f.
CE tpy;ypd; ePsj;ijf; fhz;f.
iii. mj;jpthuk; jtpu;e;j kpFjpf; fhzpapd; Rw;wsitf; fhz;f.
iv. mj;jpthuk; jtpu;e;j kpFjpf; fhzpapy; fy; gpbg;gjw;F rJu kPw;wu; xd;wpw;F &gh 800 nrythF
nkdpd; ,jw;fhf Vw;gLk; nkhj;j nryitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 85
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03.a. tPnlhd;wpw;F 8% ,iwtup mwtplg;gLfpwJ.
i. &gh 15 000 vd kjpg;gplg;gl;l tPnlhd;wpw;fhf Mz;nlhd;wpw;F nrYj;j Ntz;ba ,iwtupiaf;
fhz;f.
mt;tPl;bw;fhf fhyhz;by; nrYj;j Ntz;ba ,iwtup ahJ ?
ii.
&gh 50 000 %yk; &gh 100 gq;Ffis nfhs;tdT nra;j xUtUf;F fpilf;Fk; gq;Ffs;
vj;jid ?
b. i.
gq;nfhd;wpw;F &gh 30 gq;fpyhgk; toq;fg;gLk; vdpd; mtUf;F fpilf;Fk; Mz;L tUkhdj;
ijf; fhz;f.
ii.
iii. Mz;L tUkhdk; fpilj;j gpwF gq;nfhd;wpd; tpiy mjpfupj;jhy; mtuplkpUe;j midj;J
gq;FfisAk; tpw;W &gh 8 000 %yjd ,yhgk; ngw;Wf;nfhz;lhu; vdpd; mtu; xU gq;if
tpw;w tpiy ahJ ?
04.
tpUe;njhd;wpw;F te;jtu;fspd; taJfs; gw;wpa jfty; fPNo jug;gl;Ls;sJ.
kPbwd;
taJ
tUlk;
kPbwd;
5 – 10
10 – 20
20 – 30
30 – 50
10
p
18
14
q
9
NkYs;s jftypd; xU gFjp tiyAU tiua
j;jpy; fhl;lg;gl;Ls;sJ. mjid cgNahfpj;J
i. p ,d; ngWkhdk; fhz;f.
8
7
6
5
ii.
q ,d; ngWkhdk; fhz;f.
4
3
iii. jug;gl;Ls;s ml;ltizapypUe;J tiyA
Utiuaj;ij G+uzg;gLj;Jf.
iv. tpUe;jpy; fye;Jnfhz;Nlhu; vj;jid Ngu;
2
1
10
0
20
30
40
50
taJ
v. tiyAUtiuaj;jpypUe;J kPbwd; gy;Nfhzpia tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 86
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05. a. rpw;Wz;br;rhiyf;F nrd;w mjPg;> mkPu; Mfpa ,UtUf;Fk; ghy; mg;gk; 3 ck; rPdp mg;gk; 2 ck;
fhiy czTf;fhf fpilj;jJ. mtu;fs; mtw;wpy; xd;W tPjk; cz;z jPu;khdpj;jdu; vdpd;>
i. czT cz;l tpjk; gw;wpa fPOs;s nea;aupia G+uzg;gLj;Jf.
mjPg;
S1
H - ghy; mg;gk;
S - rPdp mg;gk;
S1
H3
H2
H1
H1
ii.
H2
H3
S1
S2
mkPu;
,UtUk; ghy; mg;gk; cz;gjw;fhd epfo;jfitf; fhz;f.
iii. ,UtUk; xNu tifahd mg;gk; cz;gjw;fhd epfo;jfitf; fhz;f.
iv. ,UtUk; ,U NtW tifahd czTz;gjw;fhd re;ju;g;gj;ij nea;aupapy; tl;lkpl;L fhl;b
mjd; epfo;jfitf; vOjf.
b. Kjypy; czTz;ltu; mkPu; Mapd; NkYs;s epfo;r;rpf;F cupa kutupg;glj;jpid G+uzg;gLj;jp
Fiwe;jJ xUtuhtJ rPdp mg;gk; cz;gjw;fhd epfo;jfitf; fhz;f.
mkPu;
mjPg;
H
(H,H)
..............
3
5
H
..............
..............
2
5
(H,S)
H
(S,H)
S
(S,S)
S
..............
Grade :- 10 , 11
S
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 87
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MATHS MODEL PAPER
PART – I B
01.a. RUf;Ff.
i.
1
2
2
+
3
5
15
ii.
1
30
1
2
8
x
÷
2
3
15
b. ruj; xU njhiyf;fhlrpg; ngl;bia thq;Ftjw;fhf mjd; tpiyapd;
3
gq;F gzj;ij Nrkpj;J
5
itj;jpUe;jhd;.
i. njhiyf;fhl;rpg; ngl;bia thq;Ftjw;F mtUf;F ,d;Dk; vj;jid gq;F gzk; Njit ?
ii.
mtUf;F ,d;Dk; &gh 72 000 ,Ug;gpd; njhiyf;fhl;rpg; ngl;bia thq;fyhk; vdpd; njhiy
f;fhl;rpg; ngl;bapd; tpiyiaf; fhz;f.
02. D
C
F
A
ii.
E
ABCD vd;gJ xU nrt;tfj; Njhl;lKk;> BEF vd;gJ
xU G+g;ghj;jpAkhFk;. AB ,d; eLg;Gs;sp E MFk;.
BE = 7m MFk;.
i. tpy; EF ,d; ePsj;ijf; fhz;f.
B
G+g;ghj;jpapd; Rw;wsitf; fhz;f.
iii. Njhl;lj;jpd; mfyk; ePsj;jpYk; 4 m FiwthFk;. Njhl;lj;jpy; G+g;ghj;jpiaj; jtpu vQ;rpa gF
jpapy; Gy; elg;gl;Ls;sJ. Gy; eLtjw;F 1 m2 f;F &gh 750 nrythFk; vdpd;> vQ;rpa gFjpapy;
Gy; elj;Njitahd gzj;ijf; fhz;f.
03.
njhopw;rhiynahd;wpy; Ntiy nra;Ak; Mz; njhopyhsu;fspd; vz;zpf;iff;Fk;> ngz; njhopyhsu;
fspd; vz;zpf;iff;Fk;> Nkw;ghu;itahsu;fspd; vz;zpf;iff;Fk; ,ilNa cs;s tpfpjk;
4 : 3 : 1 MFk;.
i. Nkw;ghu;itahsu;fspd; vz;zpf;if nkhj;j njhopyhsu;fspd; vz;zpf;ifapd; vd;d rjtPjk; ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 88
ii.
www.lkedu.lk
Nkw;ghu;itahsu; vz;zpf;if 7 Ngu; vdpd;> Mz; njhopyhsu;fspd; vz;zpf;ifiaAk;> ngz;
njhopyhsu;fspd; vz;zpf;ifiaAk; jdpj;jdpNa fhz;f.
iii. Nkw;ghu;itahsu;fspd; vz;zpf;ifia khw;whky; NkNy jug;gl;l tpfpjj;ij 7 : 5 : 1 vd
khw;Wtjw;F NkYk; Nru;f;fg;gl Ntz;ba Mz; njhopyhsu;fspdJk;>ngz; njhopyhsu;fspdJk;
vz;zpf;ifiaf; fhz;f.
04.
taJ
(tUlk;)
5–7
8 – 10
11 – 13
14 – 16
17 – 19
khztu;fspd;
vz;zpf;if ( f )
25
30
40
25
10
jpws;
kPbwd;
25
............
............
............
............
xU ghlrhiy khztu;fis taJ mbg;gil
apy; Nrfupf;fg;gl;l jfty;fis nfhz;L jah
upf;fg;gl;l xU G+uzkw;w jpws; kPbwd; guk;gy;
ml;ltiz fhl;lg;gl;Ls;sJ.
i. jug;gl;Ls;s jpws; kPbwd; guk;gypd; Mfhu
tFg;igf; fhz;f.
ii. jpws; kPbwd; epuiyg; G+uzg;gLj;Jf.
iii. jpws; kPbwd; ml;ltiziag; gad;gLj;jp jug;gl;l Ms;$w;Wj;jsj;jpy; jpws; kPbwd;
tisapia tiuf.
130
iv. jpws; kPbwd; ml;l
tiziaf; nfhz;
L Kjyhk; fhyd
iziaAk;>%d;wh
k; fhydizia
Ak; fhz;f.
120
110
100
90
80
70
60
50
40
30
20
10
2
Grade :- 10 , 11
4
6
8
10
12
Mr. A.S.M. Azmy
14
16
18
20
T.P. No :- 0777034358
Page 89
05.
www.lkedu.lk
A vd;Dk; ghj;jpuj;jpy; ru;t rkge;Jfspy; rptg;G ge;Jfs; 3 ck;> ePyg;ge;Jfs; 2 ck; cs;sd.
Nfhfpyh> mKjh vd;Dk; ,uz;L ez;gpfs; ,g;ghj;jpuj;jpy; ,Ue;J vOkhwhf ,uz;L ge;Jfis
vLf;fpd;wdu;. (gpujpitg;gpd;wp)
i. ,j; jftiy fPNo cs;s nea;aupapy; milahskpl;Lf; fhl;Lf.
mKjh
B2
B1
R3
R2
R1
R1
ii.
R2
R3
B1
B 2 Nfhfpyh
,UtUk; vLj;jJ xNu epwg; ge;jhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
iii. ,UtUk; vLj;jge;Jfs; njhlu;ghf tiuag;gl;l G+uzkw;wkutupg;glk; fPNo fhl;lg;gl;Ls;sJ
kutupg;glj;ijg; G+uzg;gLj;Jf.
Nfhfpyh
mKjh
R
...............
3
5
R
...............
...............
...............
B
R
B
...............
B
iv. ,UtUk; vLj;jJ xNu epwg;ge;jhf ,Ug;gjw;fhd epfo;jfit kutupg;glj;ijg; gad;gLj;jp
fz;L tpdh ii ,d; tpilAld; nghUe;Jfpwjh ? vdg; ghu;f;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 90
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MATHS MODEL PAPER
PART – I B
01.
rkPUk; jdJ FLk;gj;jpdUk; nrd;w Rw;Wyhtpd; KOj; J}uj;jpd;
dj;jpy; gazpj;jdu;. kPjpapd;
31
5
gFjpia jkJ Nkhl;lhu; thf
7
5
gFjpia rghup [Pg; thfdj;jpy; gazpj;jdu;. 4 km ele;Jk;
6
nrd;wdu;.
i. rkPUk; jdJ FLk;gj;jpdUk; jkJ Nkhl;lhu; thfdj;jpy; gazpj;jgpd;du; kPjp KOj;J}uj;jpd;
vd;d gpd;dkhFk; ?
ii.
mtu;fs; rghup [Pg;gpy; nrd;w J}uk; KOg; gazj;jpd; vd;d gpd;dkhFk; ?
iii. rkPUk; jdJ FLk;gj;jpdUk; nrd;w Rw;Wyhtpd; nkhj;jj; J}uj;ij fpNyh kPw;wupy; fhz;f.
iv. rghup [Pg; thfdk; 1 km gazpg;gjw;F &gh60 tPjk; nrYj;jg;gl;lnjdpd; rkPu; rghup [Pg;gpw;fhf
nrYj;jpa nkhj;jj; njhif ahJ ?
02.
S
11 cm
R
14 cm
450
P
450
25 cm
Q
MW gf;fq;fisAila rl;lfnkhd;iw mik
g;gjw;F epidj;j khztndhUtd; cUtpy;
cs;sthW PQRS ruptfj;jpypUe;J 450 Nfh
zj;ijAila ,U Miur;rpiwfis Fwpg;gpl;l
tpy; topahf ntl;b mfw;wp xU rl;lfj;ij
Mf;fpdhd;.
i.
ntl;b mfw;wg;gl;l Miur;rpiwnahd;wpd; tpy;ypd; ePsj;ijf; fhz;f.
ii.
ntl;b mfw;wg;gl;l Miur;rpiwnahd;wpd; gug;gsitf; fhz;f.
iii. PQ, SR vd;gtw;wpw;F milapyhd nrq;Fj;J cauk; 7 3 cm vdpd; ,U Miur;rpiwfisAk;
ntl;b mfw;wpa gpd; kPjpg; gFjpapd; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 91
www.lkedu.lk
iv. ,t;TUtpd; rkr;rPu; Ngdg;glf;$bajhf 4cm ePs epwg; gl;bnahd;W xl;Ltjw;F Njitg;gl;lJ
me;epwg;gl;bia xl;lf;$ba Kiwia mstPLfSld; NkNy cUtpy; fhl;Lf.
03.a. rKj;uh buhd;]; Nghu;l; vDk; nghUl;fs; nfhz;L nry;Yk; Nghf;Ftuj;J epWtdnkhd;W gq;nfh
d;wpd; tpiy &gh 12 ngWkjpahd 80 000 gq;Ffs; cs;sd. rkd; vd;gtu; mjpy; 3% gq;Ffis
thq;dhu;.
i. rkd; thq;fpa gq;Ffisf; fhz;f.
ii.
rKj;uh buhd;];Nghu;l; epWtdj;jpy; gq;Ffis thq;Ftjw;F rkd; vt;tsT gzj;ij KjyPL
nra;jhd; ?
iii. rKj;uh buhd;];Nghu;l; epWtdk; gq;nfhd;Wf;F &gh 7.50 tPjk; ,yhgk; toq;Fkhapd; rkdpw;F
fpilf;Fk; tUkhdj;ijf; fhz;f.
b. gpuNjr rignahd;wpdhy; 8% nrhj;J tup tUlhe;jk; mwtplg;gLk;. ,g;gpuNjr rigf;F cw;gl;l
xU tPl;bd; Mz;Lg; ngWkhdk; &gh 200 000 MFk;. ,t;tPl;bw;fhd fhyhz;L tup ahJ ?
04.a. fz;fhl;rp xd;wpw;F Njitahd bf;fl; A ,ae;jpuj;jpy; mr;rplg;gl;L mJ jhdhfNt B ,ae;jpuj;jp
Ds; cw;nrd;wJk; mq;F epwf; Nfhnlhd;W mr;rplg;gLfpwJ. A ,ae;jpuj;jpy; gpioahf mr;rpLtjw;
fhd epfo;jfT 2/7 MtNjhL> B ,ae;jpuj;jpy; gpioahf mr;rpLtjw;fhd epfo;jfT 1/5 MFk;.
i. A ,ae;jpuj;jpy; gpioahd my;yJ gpioaw;w gpujpnahd;iw mr;rpLtjw;fhd epfo;jfitf;
fhl;Lk; G+uzkw;w kutupg;glj;ij G+uzg;gLj;Jf.
gpioahd
...........
...........
gpioaw;w
B ,ae;jpuj;jpdhy; gpioahd my;yJ gpioaw;w gpujpnahd;W mr;rpLtjw;fhd epfo;itf; fhl;L
tjw;fhf kutupg;glj;ij ePl;Lf.
iii. A, B Mfpa ,U ,ae;jpuq;fspdhYk; gpioahd gpujpnahd;W mr;rpLtjw;fhd epfo;jfitf;
fhz;f.
ii.
b. NkNy fz;fhl;rpiag; ghu;itapLtjw;fhf kypf; xNu mstpy; mr;rplg;gl;l &gh 100 bf;fl;Lfs;
%d;iwAk; &gh 200 bf;fl;Lfs; ,uz;Lk; thq;fpdhu;. mjpy; ,uz;il jdJ ez;gu;fSf;F vOkh
whf vLf;FkhW $w mtu;fs; xUtupd; gpd; xUtuhf vLj;jdu;.
i. ez;gu;fs; ,UtUk; vLj;j bf;fl;bw;fhd epfo;Tfis nea;aupapy; FwpjJ
; f; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 92
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200
ii.
200
,U ez;gu;fSk; rk ngWkjpahd bf;f
l;Lfis ngWtjw;fhd epfo;r;rpfSf;
100
fhd Gs;spfis fl;lkpl;Lf;fhl;b
100
mjd; epfo;jfit vOjf.
100
100
05.
gwit ,wfpd;
ePsk; ( cm )
0–5
5 – 10
10 – 15
15 – 20
20 – 25
25 – 30
100
100
200
200
,wFfspd;
vz;zpf;if
jpws;
kPbwd;
6
8
10
7
6
5
............
............
............
............
............
............
khztndhUtd; nghOJNghf;fpw;fhf gwitfspd;
,wFfis Nrfupj;jhd;. mtd; Nrfupj;j ,wFfspd;
ePsk; fpl;ban rd;wpkPw;wupy; mse;J Fwpf;fg;gl;l
ml;ltiznahd;W mUNf fhl;lg;gl;Ls;sJ.
i. jpws; kPbwd; epuiy G+uzg;gLj;Jf.
ii. jpws; kPbwd; ml;ltiziag; gad;gLj;jp jpws;
kPbwd; tiyapia tiuf.
iii. jpws; kPbwd; tiyapapypUe;J
,wnfhd;wpd; ,ila ePsj;ij
fhz;f.
iv. fhyiz ,iltPr;irf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 93
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MATHS MODEL PAPER
PART – I B
Njq;fha; tpahghup xUtuplk; ,Ue;j Njq;fha;fSs;
01.
32
3
2
gq;F Kjy; ehspYk;> vQ;rpajd;
gq;F
8
5
,uz;lhk; ehspYk; tpw;gid nra;ag;gl;lJ.
i. Kjy; ehspy; tpw;gid nra;j gpd;du; vQ;rpa Njq;fha;fs; KO mstpy; vd;d gpd;dkhFk; ?
ii.
,uz;lhk; ehspy; tpw;gid nra;j Njq;fha;fs; nkhj;j Njq;fha;fspd; vd;d gpd;dk; ?
iii. ,uz;L ehl;fspYk; tpw;gid nra;j gpd;du; vQ;rpa Njq;fha;fs; KO mstpy; vd;d gpd;dk; ?
iv. kPjpj; Njq;fha;fspd; vz;zpf;if 90 vdpd;>tpw;gidf;F nfhz;L te;j Njq;fha;fs; vj;jid
02.
tPl;Lj; Njhl;lk; xd;wpd; khjpupg;glk; cUtpy; fhl;lg;gl;L
s;sJ. miu tl;lg;gFjp tptrha epyKk;> Kf;Nfhzg;
gFjpapy; tPLk; mike;Js;sJ.
i. tpy; BC ,d; ePsj;ijf; fhz;f.
B
28 m

21 m
A
35 m
ii.
C
tptrha epyg;gFjpapy; Ntypaikg;gjw;F cj;Njrpf;fg;gl;Ls;sJ. Ntypg;gFjpapd; ePsj;ijf;
fhz;f.
iii. 1 m Ntypaikg;gjw;F &gh 500 nrythFk; vdpd;> Ntypaikf;fj; Njitahd nkhj;jg; gzk;
vt;tsT ?
iv. Kf;Nfhzg; gFjpapy; 180 m2 gug;gsTila tPL xd;W fl;lg;gl;Ls;sJ. vQ;rpa gFjpapy; G+
elg;gl;Ls;sJ. G+ elg;gl;l gFjpapd; gug;gsitf; fhz;f.
v.
G+ elg;gl;Ls;s gFjpapd; gug;gstpd; 3 1/2 klq;F gug;gsTila nrt;tff; fhzpg;gFj;nahd;
iw AB xU vy;iyahf ,Uf;FkhW thq;fg;gl;lJ. thq;fg;gl;l fhzpapd; gUk;gbg;glj;ij
mstPLfSld; tiue;Jf;fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 94
03.
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&gh 2 gq;fpyhgkhf toq;fg;gLk; fk;gdpnahd;wpy; gq;nfhd;wpd; tpiy &gh20 MFk;. ,f;fk;gdpapy;
rkd; &gh 50 000 I KjypLfpwhd;.
i. rkd; thq;fpa gq;Ffs; vj;jid ?
ii.
rkDf;Ff; fpilf;Fk; tUl tUkhdj;ijf; fhz;f.
iii. gq;nfhd;wpd; tpiy &gh 23 Mf ,Uf;Fk; NghJ gq;Ffis tpw;fpwhu;. rkDf;Ff; fpilj;j
%yjd ,yhgk; vt;tsT ?
iv. gq;fpyhgj;ijAk;> gq;Ffis tpw;Wg; ngw;w gzj;ijAk; &gh 100 ngWkjpahd gq;Ffis
thq;Ftjw;F rkd; KjyPL nra;fpwhu;. ,uz;lhtJ fk;gdpapy; fpilf;Fk; gq;fpyhgk; KjyhtJ
fk;gdpapy; fpilj;j gq;fpyhgj;jpYk; 25% mjpfkhFk;. vdpd; ,uz;lhtJ fk;gdpapy;
gq;nfhd;Wf;fhd ,yhgk; vj;jid &gh ?
04.
ξ = 100
22
22
fzpjk; (M)
ii.
38
f.ngh.j (rh/ju)g; guPl;irnahd;wpy; jkpo;>fzpj
ghlq;fspy; rpj;jpaile;j khztu;fs; njhlu;ghf
ngwg;gl;l jfty;fspy; ,Ue;J tiuag;gl;l
ntd;tupg;glk; mUfpy; fhl;lg;gl;Ls;sJ.
jkpo; (T) i. fzpjg; ghlj;jpy; rpj;jpaile;Njhu; vj;jid
Ngu; ?
cUtpy; epow;wg;gl;l gFjpapy; cs;stu;fis tpgupf;f.
iii. 73 khztu;fs; jkpo; ghlj;jpy; rpj;jpaile;jpUg;gpd; jkpo; ghlj;jpy; khj;jpuk; rpj;jpaile;Njhu;
vj;jid Ngu;?
iv. ,tu;fspy; xUtiuj; njupT nra;Ak; NghJ mtu;fs; ,uz;Lghlq;fspYk; rpj;jpaile;jtu;fshf
,Ug;gjw;fhd epfo;jfitf; fhz;f.
v.
ξ = 100
fzpjk; (M)
jkpo; (T)
,tu;fSs; 64 Ngu; tpQ;Qhdg; ghlj;jpy; rpj;jp
aile;jpUe;jdhy; 20 Ngu; %d;W ghlq;fis
Ak; rpj;jpaile;jJld; 18 Ngu; tpQ;Qhdk;>
fzpjk; kl;Lk;> 21 Ngu; tpQ;Qhdk; jkpo; kl;Lk;
rpj;jpaile;jdu;. vdpd; mUNf jug;gl;Ls;s
ntd;tupg;glj;jpy; kPz;Lk; juTfisf; Fwpf;f.
tpQ;qhdk; (S)
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 95
05.
taJ
Mapil
0–4
4–8
8 – 12
12 – 16
16 – 20
20 – 24
24 – 28
28 – 32
www.lkedu.lk
Nehahspfspd;
vz;zpf;if
1
2
7
10
...........
6
...........
2
mz;ikapy; ghupa Neha; xd;Wf;fhf itj;jpa
rhiyapy; mDkjpf;fg;gl;l Nehahspfspd; taJk;
vz;zpf;ifAk; gw;wpa jfty; gpd;tUk; ml;lt
izapy; jug;gl;Ls;sJ.
i. ml;ltizapd; ,ilntspfis epug;Gf.
jpws;
kPbwd;
1
............
............
............
29
...........
38
...........
ii.
itj;jparhiyapy; mDkjpf;fg;gl;Nlhupd;
nkhj;j vz;zpf;if ahJ ?
iii. $Ljyhd Nehahspfspd; taJ 15 vd itj;jpau;fs; mwpf;ifnahd;iw ntspapl;ldu;. mtuJ
mwpf;ifapy; cz;ikAz;lh ? fhuzk; jUf.
iv. jug;gl;l rJuf;Nfhl;Lj; jhspy; jpws; kPbwd; tisapia tiuf.
40
35
30
25
20
15
10
5
0
Grade :- 10 , 11
4
8
12
16
Mr. A.S.M. Azmy
20
24
28
32
T.P. No :- 0777034358
Page 96
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
filnahd;Wf;Fr; nrd;w epy;kpdp jd;dplKs;s gzj;jpd;
33
3
3
gq;if cil thq;Ftjw;F nryT
8
i.
1
ghjdpfs; thq;Ftjw;Fr; nryT nra;jhs;.
5
cilfs; thq;fpa gpd; vQ;rpAs;s gzk; KOg; gzj;jpd; gpd;dkhf vOJf.
ii.
ghjzpfs; thq;Ftjw;F nryT nra;j gzk; KOg; gzj;jpd; vd;d gpd;dk; ?
nra;jhs;. vQ;rpAs;s gzj;jpy;
iii. cil> ghjzp thq;Ftjw;F nryT nra;j gzk; KOg; gzj;jpd; vd;d gpd;dk; ?
iv. &gh 800 ,w;F Filnahd;iw thq;fpa gpd; mtSf;F KO gzj;jpy;
3
I Nrkpf;f Kbe;jJ.
8
Nrkpj;j gzj;njhifiaf; fhz;f.
02.
B
cUtpy; fhl;lg;gl;bUg;gJ O it ikakhfTk;
14 cm MiuAila Miur;rpiwAk;> nrq;Nfhd
Kf;Nfhzp BOC ck; MFk;.
14 cm
A
O
C
i.
Miur;rpiwapd; gug;gsitf; fhz;f.
ii.
Kf;Nfhzpapd; gug;gsT Miur;rpiwapd; gug;gstpd; %d;W klq;F MFk; vdpd; OC ,d; ePsj;
ijf; fhz;f.
iii. ,t; cUtpd; Rw;wsT fpl;ba nrd;wp kPw;wWf;F kl;lk; jl;Lk;NghJ 170 cm MFk;. mjd; %yk;
BC ,d; ePsj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 97
03.
www.lkedu.lk
tpky; Fwpg;gpl;l fk;gdpnahd;wpd; gq;Ffis &gh 20 tPjk; thq;Ftjw;F &gh 6 000 I KjyPL
nra;jhd;. mtDf;F Kjyhk; tUl ,Wjpapy; &gh 1 200 gq;Fyhgkhf fpilj;jJ.
i. fk;gdp gq;nfhd;Wf;F toq;Fk; gq;Fyhgj;ijf; fhz;f.
ii. xU tUl ,yhgj;ijg; ngw;w gpd; mtd; jk;kplKs;s gq;Ffspy; rpytw;iw &gh 3 600 f;F
tpw;whd;. mjd; %yk; mtDf;F &gh 400 %yjd ,yhgkhfg; ngw;whd;. mtd; tpw;w
gq;Ffspd; vz;zpf;ifiaf; fhz;f.
iii. gq;Ffis tpw;gjd; %yKk;> Mz;L tUkhdj;jpd; %yKk; ngw;w KOg; gzj;jpy; xU gFjpia
jd;dplk; itj;Jf;nfhz;L kPjpg; gzj;ij 20% Mz;L vspa tl;bf;F fldhf nfhLj;jhd;.
Mz;L Kbtpy; mtDf;F tl;bahf &gh 900 fpilj;jJ. mtd; jd;dplk; itj;Jf;nfhz;l
gzj;ijf; fhz;f.
04.
fzpjg; Nghl;bnahd;W vOj;J guPl;irahfTk; > tha;%yg; guPl;irahfTk; eilngw;wJ. tha; %y
guPl;irf;F jFjp ngWtJ vOj;Jg; guPl;irapy; rpj;jp ngw;why; kl;LNk MFk;. ,U Rw;Wf;fspYk;
ntw;wp ngWk; rfy Nghl;bahsUf;Fk; rhd;wpjy;fs; toq;fg;gLk;.
1
Nghl;bahsu; xUtu; vOj;Jg; guPl;irapy; Njhy;tp miltjw;fhd epfo;jfT
MFk;. tha;%yg;
5
3
guPl;irapy; ntw;wpngWtjw;fhd epfo;jfT
MFk;. ,j; jfty;fis fPNo jug;gl;Ls;s kutupg;
4
glj;jpy; fhl;lg;gl;Ls;sJ.
tha;%yg; guPl;ir
vOj;Jg; guPl;ir
ntw;wp
...........
...........
Njhy;tp
i. epfo;jfTfis vOjp kutupg;glj;ij G+uzg;gLj;Jf.
ii. tha;%y guPl;irf;fhd epfo;jfitf; fhl;Ltjw;F kutupg;glj;ij tpupTgLj;Jf.
iii. vOj;Jg; guPl;irapy; rpj;jpaile;j Nghl;bahsu; xUtUf;F rhd;wpjy; fpilf;fhikf;fhd epfo;
jfitf; fhz;f.
iv. fzpjg; Nghl;bapy; gq;Fgw;wpa Nghl;bahsu;fspd; vz;zpf;if 50 vdpd; rhd;wpjy; ngw;Wf;
nfhs;Sk; Nghl;bahsu;fspd; vz;zpf;if ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 98
05.
www.lkedu.lk
tFg;nghd;wpYs;s 40 khztu;fSf;F toq;fg;gl;l fzpj tpdhg;gj;jpuj;jpw;F mtu;fs; ngw;w
Gs;spfs; mlq;fpa G+uzkw;w ml;ltiznahd;Wk;> tiyAUtiuaKk; fPNo jug;gl;Ls;sJ.
( ,q;F 10 – 20 vd;gJ 10 my;yJ 10 ,Yk; $l 20 ,Yk; Fiwa MFk; )
Gs;sp
tFg;ghapil
10 – 20
20 – 40
40 – 50
50 – 60
60 – 90
khztu;fspd;
vz;zpf;if
............
............
9
6
9
khztu; vz;zpf;if
12
10
8
6
4
2
0
10
20
30
40
50
60
70
80
90
100
Gs;sp
i. jug;gl;Ls;s juTfisg; gad;gLj;jp ml;ltizapd; ,ilntspfis epug;Gf.
ii. tiyAU tiuaj;ijg; G+uzg;gLj;Jf
iii. tiyAU tiuaj;ijg; gad;gLj;jp kPbwd; gy;Nfhzpia tiuf.
iv. 40 Gs;spfs; my;yJ mjw;F $ba Gs;spfisg; ngw;w khztu;fspd; rjtPjj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 99
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MATHS MODEL PAPER
PART – I B
01.
34
3
1
5
gFjpia Nkhl;lhu; irf;fpspYk;>kPjpapd;
gFjpia
3
7
Gifapujj;jpYk;> vQ;rpa J}uj;ij g]; tz;bapYk; nry;fpwhu;.
i. Nkhl;lhu; irf;fpspy; nrd;w gpd;du; NkYk; gpuahzj;jpd; vd;d gpd;dk; kPjpahf cs;sJ ?
xUtd; jhd; nry;y Ntz;ba gpuahzj;jpd;
ii.
Gifapujj;jpy; nrd;w J}uj;ij gpd;dkhf vOJf.
iii. g]; tz;bapy; nrd;w J}uj;ij gpd;dkhff; fhl;Lf.
iv. mtu; g]; tz;bapy; nrd;w J}uk; 14 km vdpd;> gpuahzj;jpd; nkhj;j J}uj;ijf; fhz;f.
02.
E
D
A
7m
C
14 m
iii.
cUtpy; fhl;lg;glbUg;gJ ABCD vd;Dk; ruptfg; gFjpiaAk;>
CDE vd;Dk; fhy; tl;lg; gFjpiaAk; cila fhzpj; Jz;nlhd;
whFk;.
i. tpy; CE ,d; ePsj;ijf; fhz;f.
B
ii. ruptfg; gFjpapd; gug;gsthdJ fhy; tl;lg; gFjpapd; gug;gstp
Yk; 35 m2 $bajhFk;. BC ,d; ePsj;ijf; fhz;f.
2 = 1.41 vdpd;> AD ,d; ePsj;ijf; fhz;f.
iv. fhzpapd; KOr; Rw;wsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 100
03.
www.lkedu.lk
tpahghu epiyankhd;wpy; tpw;gidf;F itf;fg;gl;Ls;s rfy nghUl;fspdJk; Fwpj;j tpiyf;Fk;>
fopTf;Fk; ,ilNa cs;s tpfpjk; 100 : 7 MFk;.
i. fopTr; rjtPjj;ijf; fhz;f.
ii.
&gh 1 500 Fwpf;fg;gl;l nghUnshd;Wf;fhd fopT vj;jid &ghthFk; ?
iii. ,t;tpw;gid epiyaj;jpy; &gh2 325 f;F thq;ff;$ba nghUnshd;wpd; Fwpf;fg;gl;l tpiyiaf;
fhz;f.
iv. &gh 3 000 f;F Nky; Fwpf;fg;gl;l nghUSf;F NkNy Fwpg;gpl;l fopit tpl 3% My; fopT
mjpfupf;fg;gl;lhy;> &gh 3 700 Fwpf;fg;gl;l nghUis thq;ff;$ba tpiyiaf; fhz;f.
04.a. ghlrhiynahd;wpy; juk; 5 Gyikg;guprpy; guPl;irapy; xU khztd; rpj;jpailAk; epfo;jfT 1/10
vdf; fzpf;fg;gl;Ls;sJ.
i. xU khztd; rpj;jpailjy;> rpj;jpailahik njhlu;gpy; fPNo tiuag;gl;l kutupg; glj;ijg;
G+uzg;gLj;Jf.
..........
...........
rpj;jpailjy;
rpj;jpailahik
mt;thW rpj;jpaile;j xU khztd; gpugy ghlrhiynahd;Wf;F njupT nra;ag;gLtjw;fhd epfo;
jfT 1/4 MFk;.
ii. mk;khztd; gpugy ghrhiynahd;Wf;F njupT nra;ag;gLjy;> njupT nra;ag;glhik vd;gtw;
iwf; fhl;Ltjw;F Nkw;gb kutupg;glj;ij tpupTgLj;Jf.
iii. Gyikg;guprpy; guPl;irapy; rpj;jpaile;J> gpugy ghlrhiyf;F njupT nra;ag;gLtjw;fhd
epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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b.
ehzak; xd;iwAk;> jhaf;fl;il xd;iw
Ak; xUkpj;J vwpAk; NghJ ngwg;gLk;
NgWfis nea;aupapy; fhl;b ehzaj;jpy;
jiyAk;> jhaf;fl;ilapy; Kjd;ik vz;
xd;Wk; fpilg;gjw;fhd epfo;jfitf;
fhz;f.
05.a. 15 khztu;fspd; fzpjg;ghl Gs;spfs; gpd;tUkhW
34 , 39 , 42 , 47 , 49 , 50 , 54 , 57 , 60 , 62 , 67 , 74 , 81 , 84 , 85
i.
,g;Gs;spfspd; ,ilaj;ijf; fhz;f.
ii.
,g;Gs;spfspd; fhyizapil tPr;irf; fhz;f.
b. tpisahl;Lf; fofk; xd;wpy; mq;fj;Jtk; tfpf;Fk; khztu; FO xd;wpd; taJ mbg;gilapy; khz
tu; vz;zpf;if tiyAU tiug;glk; fhl;lg;gl;Ls;sJ.
16
14
12
10
8
6
4
2
0
5
10
15
20
25
30
35
i. 25 – 35 taJ Mapilapy; vj;jid mq;fj;jtu;fs; cs;sdu; ?
ii. mq;fj;jtu;fspd; nkhj;j vz;zpf;if ahJ ?
iii. ,j;juTfspd; Mfhu tFg;G ahJ ?
iv. tiyAU tiuig gad;gLj;jp gpd;tUk; ml;ltizia epug;Gf.
taJ
5 – 10
10 – 15
15 – 20
20 – 25
Mapil
Copau;fspd;
vz;zpf;if
25 – 30
v. NkNy jug;gl;Ls;s tiyAU tiugpy; kPbwd; gy;Nfhzpia tiue;J fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 102
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MATHS MODEL PAPER
PART – I B
01.
35
3
1
2
gq;fpy; fj;jupAk;
gq;fpy; ntq;fhaKk; gapupl;lhu;
6
9
4
1
gpd; kPjp Njhl;lj;jpy;
gq;fpw;F ntz;b gapupl;lhu;. ,jd; gpd;du; KO Njhl;lj;jpd;
gq;F
11
3
gug;gstpy; G+rzp gapupl;l gpd; gz;gLj;jhJ 20 Vf;fu; fhzp ,Ue;jJ.
i. fj;jupAk; ntq;fhaKk; gapupl;l gug;gsT KOj; Njhl;lj;jpd; vd;d gpdd
; k; ?
xU tptrhap jdJ Njhl;lj;jpd; gug;gstpy;
ii.
ntz;b gapupl;lJ KOj;Njhl;lj;jpd; vd;d gpd;dk; ?
iii. gz;gLj;jhJ ,Ue;j Njhl;lk; KOtjd; vd;d gpd;dk; ?
iv. mtuJ Njhl;lj;jpy; G+rzp gapu; nra;j gug;G ahJ ?
02.
21 m
300
300
30 m ePsKk; 21 m mfyKk; cila Kw;wk; xd;wpy; mfyg;
gf;fkhf 300 ikaf;Nfhzk; cila ,uz;L Miur;rpiw
fspy; G+kuq;fs; elg;gl;L vQ;rpa gFjpf;F Gy; tsu;f;fg;
gLfpwJ.
i. Kw;wj;jpd; gug;gsT ahJ ?
30 m
ii.
G+kuk; elg;gl;l gFjpapd; nkhj;jg;gug;gsT 231 m2 vdf; fhl;Lf.
iii. Gy; tsu;f;fg;gl;l gFjpapd; gug;gsT ahJ ?
iv. Gy; tsu;f;fg;gl;l gFjpapd; Rw;wsT 124 m vdf; fhl;Lf.
v.
Gy; tsu;f;fg;gl;l gFjpiar; Rw;wp 50 cm f;F xU kpd;Fkpo; tPjk; kpd;Fkpo; nghUj;jg;gl;lhy;
Njitahd kpd;Fkpo;fspd; vz;zpf;if ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 103
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A vd;w tpahghu epiyaj;jpy; tpw;fg;gLk; nghUl;fs; vy;yhtw;wpw;Fk; 20% ,yhgk; itj;J tpiy
Fwpj;J gpd;du; tpw;gidapd; NghJ 10% fopT nfhLf;fg;gLfpwJ.
B vd;w tpahghu epiyaj;jpy; tpw;fg;gLk; nghUl;fSf;F 10% ,yhgk; itj;J tpiy Fwpf;fg;gl;L
tpw;gidapd; NghJ 5% fopT nfhLf;fg;gLfpwJ.
i. A vd;w epiyaj;jpy; &gh 10 800 tpw;fg;gLk; nghUspd; nfhs;tpiy ahJ ?
03.
ii.
B vd;w tpahghu epiyak; &gh 10 000 ngWkjpAila nghUis tpw;Fk; tpiyiaf; fhz;f.
iii. ve;j tpahghu epiyaj;jpy; nghUs; nfhs;tdT nra;jy; ,yhgkhdJ ?
iv. tpahghu epiyak; B nghUl;fis tpw;gid nra;tjhy; milAk; ,yhg rjtPjk; ahJ ?
04.a.
Njhlk;go RitAila nlhgp 3 k;> ehuq; RitA
ila nlhgp 2 k; cs;s ngl;bnahd;wpypUe;J xU
nlhgp vOkhwhf vLf;fg;gl;L kPz;Lk; xU nlhgp
vLf;fg;gl;lJ.
i. ,e; epfo;itf; fhl;Lk; xU nea;aupapy;
Fwpj;Jf; fhl;Lf.
ii. ,U re;ju;g;gj;jpYk; Njhlk;gor; Ritaila
nlhgp fpilg;gjw;fhd epfo;jftpid fhz;f.
iii. ,U re;ju;g;gj;jpYk; ehuq; Rit nlhgp
fpilg;gjw;fhd epfo;jfT 20% MFk; vd xUtu; Fwpg;gpl;lhu;. ,J cz;ikah vd Muha;f.
b. ξ = { 1 , 3 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 14 }
A = { 1,3,5,7,9 }
B = { 3 , 7 , 10 , 12 }
i. fPNo jug;gl;Ls;s njhilfspd; %yfq;fis vOjf.
1.
ii.
A∩B
2.
Al ∩B
3.
( AUB )l
njhil A iaAk; B iaAk; %yfq;fshf fhl;b ntd;tupg;glk; xd;wpy; fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 104
05.
Gs;spfs;
tFg;ghapil
10 – 20
20 – 30
30 – 40
40 – 50
50 – 60
60 – 80
80 – 100
www.lkedu.lk
khztu;fs;
vz;zpf;if
8
12
16
24
10
8
12
juk; 11 khztu;fs; fzpjg;guPl;ir xd;wpy; ngw;w Gs;sp
fs; rk;ge;jkhd ml;ltiz mUNf jug;gl;Ls;sJ.
i. ,g; guPl;irapd; Mfhu tFg;G ahJ ?
ii.
50 Gs;spfSf;F Fiwe;j khztu;fspdJk; 50 Gs;sp
my;yJ mjw;F $ba Gs;spia vLj;j khztu;fS
f;Fk; ,ilapyhd tpfpjk; ahJ ?
iii. ,j;jfty;fisf; fhl;l tiyAU tiuak; xd;iw tiuf.
iv. mjd; %yk; kPbwd; gy;Nfhzpia tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 105
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MATHS MODEL PAPER
PART – I B
01.
xU tPl;by; cs;s ePu;j;njhl;bapy;
36
3
1
1
gq;F ghj;jpuk; fOTtjw;Fk;>
gq;F Fbg;gjw;Fk;
10
8
gad;gLj;jg;gl;lJ.
i. ghj;jpuk; fOTtjw;Fk;> Fbg;gjw;Fk; gad;gLj;jpa ePu; njhl;bapd; vd;d gpd;dkhFk; ?
ii.
10
gq;F Fspg;gjw;F gad;gLj;jg;gl;lJ. Fspg;gjw;F gad;gLj;jpa
31
ePu; njhl;bapd; vd;d gpd;dk; vdf; fhz;f.
njhl;bapy; vQ;rpa ePupd;
iii. jw;NghJ njhl;bapy; vd;d gpdd
; k; ePu; vQ;rpAs;sJ?
iv. NkYk; 100 L ePu; gad;gLj;jpa gpd;du; njhl;bapy;
1
gq;F ePu; vQ;rpAs;sJ. njhl;bapd; nfhs;
2
ssT vj;jid yPw;wu;fshFk; ?
02.
cUtpy; fhl;lg;gl;lthW fl;llk; xd;wpd; xU gf;fr; Rtupd; tbtk;
mike;Js;sJ. mbg;gf;f ePsk; 3.5 m ck;> cauk; 3 m ck; MtJld;
3.5 m tpl;lKila miutl;l tbtKk; mike;Js;sJ.
i. Rtupd; cau;e;jgl;r cauk; ahJ ?
3m
ii.
Rtupd; Xuk; topNa fUg;G epw ik G+rg;gl;Ls;sJ. vdpd; fUg;G ik
G+rg;gl;l gFjpapd; ePsj;ijf; fhz;f.
3.5 m
iii. Rtupd; xU gf;fj;jpd; gug;gsitf; fhz;f.
iv. Rtupd; xU gf;fj;Jf;Fk;> Rtupd; Xuk; topNaAk; ik G+r Ntz;bAs;sJ. Rtupd; 1 m2 f;F ik
G+r &gh 250 ck;> Xuk; topNa ik G+r 1 m2 f;F &gh 200 ck; nrythFk; vdpd; ik G+r
Njitahd nkhj;j gzk; vj;jid &ghthFk;.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 106
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03.a. tUkhd tup mwtpLk; NghJ Kjy; &gh 500 000 f;Fk; tup tpyf;fspf;fg;gl;lJ.mLj;j &gh500 000
tiuAk; 3% tupAk;> mjw;F Nkw;gl;l njhiff;F 5% tupAk; mwtplg;gl;lJ.
i. xUtuJ tUkhdk; &gh 1 200 000 MFk;. mtu; tup nrYj;jNtz;ba tUkhdj;njhif ahJ
ii.
nrYj;j Ntz;ba tup vj;jid &ghthFk; ?
b. nghUnshd;W ,wf;Fkjp nra;Ak; NghJ mjd; tpiyapd; 60% I Rq;f tupahf nrYj;j Ntz;Lk;.
i. &gh 1 200 ngWkjpahd kpd; cgfuzj;ij ,wf;Fkjp nra;Ak; NghJ nrYj;j Ntz;ba tupj;
njhif ahJ ?
ii.
tup nrYj;jpa gpd;du; nghUspd; tpiy ahJ ?
iii. nghUis 10% ,yhgj;Jld; tpw;fNtz;ba tpiy ahJ ?
04.a.,uz;lhk; Kiw vLj;jy;
ignahd;wpy; ru;trk ge;Jfs; 7 cs;sd. mtw;Ws;
4 ge;Jfs; ePy epwkhfTk;> 3 ge;Jfs; rptg;G epw
khfTk; cs;sd. igapypUe;J vOkhw;whf xd;wd;
gpd; xd;whf ,uz;L ge;Jfs; vLf;fg;gl;ld.
i. ngwf;$ba NgWfis mUNf jug;gl;l nea;a
upapy; milahskpl;Lf; fhl;Lf.
ii. ,uz;L KiwAk; xNu epwg;ge;J fpilg;gjw;fhd
epfo;jfitf; fhz;f.
R3
R2
R1
B4
B3
B2
B1
B1
B2
B3
B4
R1
Kjyhk; Kiw vLj;jy;
R2
R3
b. NkNy jug;gl;l juTfis ,q;F fhl;lg;gl;Ls;s kutupg;glj;jpy; Fwpj;Jf;fhl;b> ,uz;L Kiwfsp
Yk; xNu epwg;ge;J fpilg;gjw;fhd epfo;jfitf; fhz;f.
R
.............
R
.............
.............
B
.............
.............
B
.............
Grade :- 10 , 11
R
Mr. A.S.M. Azmy
B
T.P. No :- 0777034358
Page 107
05.
ICT
Rfhjhuk;
tptrhak;
www.lkedu.lk
xU Fwpj;j ghlrhiyapy; juk; 10 ,y; gapYk; khztu;fs; ICT >
tptrhak;> Rfhjhuk; Mfpa ghlq;fSs; xU ghlj;ij khj;jpuk;
njupe;njLf;f Ntz;Lk;. khztu;fs; ,g;ghlq;fis njupT nra;j
tpjk; mUNf tl;l tiugpy; fhl;lg;gl;Ls;sJ.
ICT Ij; njupT nra;Ak; khztu; vz;zpf;ifapd; MW klq;F
khztu;fs; tptrhaj;ijj; njupT nra;j mNjNtis Ie;J klq;F
khztu;fs; Rfhjhuj;ijj; njupT nra;jdu;.
i.
ICT Ij; njupT nra;j khztu;fspd; vz;zpf;ifia nkhj;j khztu;fspd; vz;zpf;ifapd;
xU gpd;dkhfj; jUf.
ii.
xt;nthU ghlj;ijAk; Fwpf;Fk; ikaf;Nfhzj;jpd; ngWkjpiaf; fz;L> tupg;glj;jpy; Fwpf;f.
iii. Rfhjhuj;ijj; njupT nra;j khztu; vz;zpf;if 30 Ngu; vdpd;> tFg;gpy; cs;s nkhj;j
khztu;fspd; vz;zpf;ifiaf; fhz;f.
iv. Kjyhk; jtizg; guPl;irapd; gpd;du; tptrhag; ghlj;ijj; njupT nra;j 6 khztu;fs; Rfhjh
ug; ghlj;Jf;F khwpdu;. khwpa juTfSf;Nfw;g tl;l tiuig tiuAk; NghJ Rfhjhug; ghlj;ij
njupT nra;j khztu;fisf; Fwpf;Fk; Miur;rpiwf;Nfhzk; vj;jid ghif ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 108
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
01.
rfPy; jdJ khjhe;j tUkhdj;jpy;
37
3
3
3
I czTf;fhf nryT nra;jNjhL kPjpapy;
I tPl;bd;
5
4
Njitf;F gad;gLj;Jfpd;whu;.
i. czTf;fhf nryT nra;j gpd; khj tUkhdj;jpy; vQ;rpa njhif KO tUkhdj;jpy; vd;d
gpd;dkhFk;?
ii.
tPl;bd; Njitf;fhf nryT nra;j njhif khj tUkhdj;jpd; vd;d gpd;dkhFk; ?
iii. czTf;fhfTk;> tPl;bd; Njitf;fhfTk; nryT nra;j gpd; rfPyplk; vQ;rpa njhif khj
tUkhdj;jpd; vd;d gpd;dkhFk; ?
iv. czTf;fhfTk;> tPl;bd; Njitf;fhfTk; nryT nra;j gpd; rfPyplk; vQ;rpa gzk; &gh 3 200
MFk;. vdpd; mtuJ khj tUkhdk; ahJ ?
02.
A
B
C
ii.
20 cm
cUtpy; fhzg;gLk; nrt;tf tbthd ABCD vd;w
7 cm jfuj;jpdhy; A,D vd;gd ikakhfTs;sthW Miur;
rpiwg; gFjpfs; ,uz;Lk;> BC tpl;lkhfTs;s miu
tl;l gFjp xd;Wk; ntl;b ePf;fg;gl;L epidTr;
rpd;dk; xd;W Mf;fg;gl;Ls;sJ.
7 cm
i. ikak; A MfTs;s cUtpd; tise;j gFjpapd;
ePsj;ijf; fhz;f.
D
,t; epidTr; rpd;dj;jpd; Rw;wsitf; fhz;f.
iii. epidTr; rpd;dj;ij Mf;Fk; NghJ ntl;b mfw;wg;gl;l gFjpfspd; gug;gsitf; fhz;f.
iv. epidTr; rpd;dj;jpd; gug;gsitf; fhz;f.
v.
rpd;dj;jpd; Kd; gf;fk; cNyhf G+r;R G+Rtjw;fhf xU rJu nrd;upkPw;wUf;F &gh 4.50 nry
thFk; vdpd; ,jw;fhf Vw;gLk; nkhj;j nryitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 109
www.lkedu.lk
03.a. tpahghup xUtu; ryit ,ae;jpuk; xd;Wf;F 20% ,yhgk; fpilf;ff; $bajhf &gh 24 000 tpiy
Fwpj;Js;shu;.
i. tpahghup ryit ,ae;jpuj;ij thq;fpa tpiyiaf; fhz;f.
ii.
tpw;gidapd; NghJ Fwpj;j tpiyapy; 5% fopT toq;fg;gl;lJ vdpd; tpw;w tpiyiaf; fhz;f.
b. 25% tUlhe;j vspa tl;bf;F &gh 20 000 I fldhfg; ngw;w xUtu; 3 tUlq;fs; Kbtpy; fldpy;
,Ue;J tpLgl nrYj;j Ntz;ba njhifiaf; fhz;f.
c. 8% Mz;L tl;biaf; nfhLf;Fk; tq;fpf; fzf;F xd;wpy; uQ;rd; &gh 30 000 I itg;Gr; nra;fpd;
whu;.,f;fzf;F Mz;LNjhWk; tl;bAld; GJg;gpf;fg;gLkhapd; ,U Mz;Lfspd; ,Wjpapy; mtUila
fzf;fpy; ,Uf;Fk; gzk; ahJ ?
04.a. 1 Kjy; 6 tiu ,yf;fkplg;gl;l xOq;fhd jhaf;fl;ilxd;Wk; ,UGwKk; 1 , 2 vd ,yf;fkplg;gl;l
nghj;jhd; xd;Wk; xNu jlit NkNy vwpag;gLfpwJ. ,t;thW jhaf;fl;ilapdhy; fpilf;Fk; vz;
fs; ,lg;ngWkhdk; xd;WfshfTk; nghj;jhdpdhy; fpilf;Fk; vz;fs; ,lg;ngWkhdk; gj;Jfshf
Tk; nfhz;l vz;fshfTk; xOq;FgLj;jg;gLfpwJ.
gj;Jfs;;(nghj;jhd;)
epfof;$ba midj;J epfo;r;rpfSk;
cs;slf;fpathwhd mUfpy; cs;s
nea;aupapy; Fwpj;Jf; fhl;Lf.
ii. Kjd;ik vz;fs; fpilf;ff; $ba
epfo;it Fwpj;J mjd; epfo;jfitf;
fhz;f.
i.
2
1
1
2
3
4
5
xd;Wfs;(jhaf;fl;il)
6
iii. NkNy fpilj;j vz;fSs; ngWkhdk; 15 ,w;Fk; $Lk; epfo;jfitf; fhz;f.
b. fzdpf; $lk; xd;wpy; cs;s 8 fzdpfspy; 3 ,aq;ftpy;iy. rdPu; vOkhwhf ,tw;wpy; xd;iw
,af;Ftjw;F Kaw;rp nra;fpd;whd;.
i. fPo;tUk; G+uzkw;w kutupg;glj;jpy; mtdpd; Kjy; Kaw;rpf;Fupa epfo;jfit Fwpj;Jf; fhl;Lf.
...........
...........
Grade :- 10 , 11
,aq;Fjy;
,aq;fhik
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 110
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rdPupd; KjyhtJ Kaw;rp ntw;wpaspf;fhjjdhy; ntnwhU fzdpf;F nry;y Neupl;lJ kutupg;
glj;ij tpupTgLj;jp cupa epfo;jfitf; Fwpj;Jf; fhl;Lf.
ii.
iii. rdPupd; KjyhtJ Kaw;rp Njhy;tp mile;J ,uz;lhtJ Kaw;rp ntw;wpaspg;gjd; epfo;jfitf;
fhz;f.
05.
irf;fpNshl;lg; Nghl;b xd;wpy; fye;J nfhz;l Nghl;bahsu;fs; rpyu; mjw;fhf vLj;j fhyj;ijf;
fhl;Lk; G+uzkw;w ml;ltiz xd;W fPNo fhl;lg;gl;Ls;sJ.
fhyk;
25 – 30
30 – 35
35 – 40
40 – 45
45 – 60
(epkplk;)
Nghl;bahsu;
............
3
8
5
12
vz;zpf;if
NkNy cs;s jfty;fisf; nfhz;L jug;gl;Ls;s tiyAU tiuaj;ij G+uzg;gLj;Jf.
i.
8
7
6
5
4
3
2
1
0
ii.
20
25
30
35
40
45
50
55
60
65
tiyaU tiuaj;jpd; Clhf 25 – 30 epkplq;fspy; Nghl;bia Kbj;j Nghl;bahsu;fs; vz;zpf;
ifiaf; fhz;f.
iii. NkNy G+uzg;gLj;jg;gl;l tiyAU tiuaj;jpy; kPbwd; gy;Nfhzpia tiue;J fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 111
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
01.
38
3
3
1
gq;if czTf;Fk;>
gq;if jdJ Vida
8
4
5
NjitfSf;Fk; nryT nra;fpwhu;. ,j;NjitfSf;Fr; nryT nra;j gpd; kPjpapy;
gq;if jdJ
6
%d;W gps;isfSf;Fk; 4 : 5 : 6 vDk; tpfpjj;jpy; tq;fpapy; KjyPL nra;fpwhu;.
i. czT> Vida NjitfSf;fhf xJf;fPL nra;ag;gl;lJ rk;gsj;jpd; vd;d gq;fhFk; ?
mur Copau; xUtu; jdJ khjr; rk;gsj;jpy;
ii.
NkNy $wg;gl;l nryTfSf;F xJf;fpa gpd; rk;gsj;jpy; kPjkhFk; gq;F ahJ ?
iii. gps;isfspd; Nrkpg;Gf;fhf xJf;Fk; rk;gsj;jpd; gq;iff; fhz;f.
iv. ,Wjpahf mtuplk; kPjkhapUf;Fk; gzk; &gh 1 200 vdpd;> mtuJ rk;gsj;ijf; fhz;f.
v.
gps;isfSf;F KjyPL nra;Ak; gzj;jpy; xU gps;isf;F $Ljyhf itg;gpyplg;gLfpwJ. mj;
njhif vt;tsT ?
02. A
90 m
D
ii.
B
ABCD vDk; fhzpapd; rup kj;jpapy; 14 m tpl;lKs;s
tl;lg; gFjpapy; goq;fs; gapuplg;gl;Ls;sJ.
i. ,f;fhzpapd; Rw;wsTf;Fk;> gok; gapuplg;gLk; gFjp
apd; Rw;wsTf;Fk; ,ilapyhd tpfpjk; ahJ ?
70 m
C
gog;gapu; nra;ag;glhj gFjpapd; gug;gsitf; fhz;f.
iii. kuf;fwp gapu; nra;tjw;F gog;gapu; nra;ag;glhj epyg;gFjpapy; BC I Xu; vy;iyahff; nfhz;L
1050 m2 gug;gsT nfhz;l BCE vDk; nrq;Nfhz Kf;Nfhzg;gFjpia xJf;f Ntz;Lk;. me;
epyg; gFjpia mstPLfSld; jug;gl;Ls;s glj;jpNyNa tiuf.
iv.
58 = 7.61 vdf; nfhz;L kuf;fwp gapuplg;gLk; gFjpapd; Rw;wsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 112
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03.a. ep]hu; &gh 60 000 Kjypl;L tUl Muk;gj;jpy; tpahghunkhd;iw Muk;gpf;fpwhu;. mjw;F 2 khjq;fsp
d; gpd;du; fhju; &gh 54 000 Kjypl;L mt;tpahghuj;jpy; gq;Fjhuu; Mfpwhu;.mjw;F xU khjj;jpw;F
gpd;du; rh[pj; &gh 40 000 I Kjypl;L mt;tpahghuj;jpy; gq;Fjhuu; Mfpwhu;. tUl ,Wjpapy;
tpahghuj;jpdhy; fpilf;fg;ngw;w ,yhgk; &gh 8 100 MFk;.
i. fhyk;> KjyPL vd;gtw;wpw;Nfw;g %tUf;Fk; ,yhgk; gq;fpl Ntz;ba tpfpjj;ijf; fhz;f.
ii.
,yhgj;jpy; fhjUf;F fpilf;Fk; gq;F ahJ ?
b. xU gq;fpw;F &gh 3 gq;fpyhgj;ijr; nrYj;Jk; xU fk;gdpapypUe;J xU gq;fpd; re;ij tpiy
&gh 8 MfTs;s gq;Ffisf; nfhs;tdT nra;a RNu\; &gh 240 000 I KjyPL nra;Js;shu;.
i. Xu; Mz;bd; ,Wjpapy; RNu\pw;F fpilf;Fk; gq;fpyhg tUkhdj;ijf; fhz;f.
ii.
04.
gq;fpyhgj;ijg; ngw;w gpd;du; RNu\; ,t;nty;yhg; gq;FfisAk; xU gq;fpd; re;ij tpiy
&gh9.50 Mf ,Uf;Fk; NghJ tpw;whu; vdpd; mtUf;Ff; fpilf;Fk; %yjd ,yhgj;ijf; fhz;f
ghlrhiy xd;wpy; f.ngh.j (c.j) guPl;irf;Fj; Njhw;wpa khztd; xUtd; rpj;jpailtjw;fhd
epfo;jfT 5/6 ck; guPl;irapy; rpj;jpaile;j khztd; xUtUf;F gy;fiyf;fof mDkjp fpilg;
gjw;fhd epfo;jfT 3/5 ck; MFk;.
i. khztd; f.ngh.j (c.j) rpj;jpailahikf;fhd epfo;jfT ahJ ?
ii.
guPl;irapy; rpj;jpailjy;> rpj;jpailahik vd;gtw;iwf; fhl;Lk; kutupg;glj;ij G+uzg;gLj;Jf
.............
.............
rpj;jpailjy;
rpj;jpailahik
iii. rpj;jpngw;w khztDf;F gy;fiyf;fof mDkjp fpilj;jy;>fpilf;fhjpUj;jy; vd;gtw;iwf;
fhl;Lk; fpisfis Nkw;gb kutupg;glj;jpy; tpupTgLj;jpf; fhl;Lf.
iv. cau;jug; guPl;irf;Fj; Njhw;wpa xU khztDf;F gy;fiyf;fof mDkjp fpilg;gjw;fhd
epfo;jfitf; fhz;f.
v.
mg;ghlrhiyapy; 150 khztu;fs; cau;jug;guPl;irf;Fj; Njhw;wpdhu;fs; vdpd; gy;fiyf;fof
mDkjp fpilf;ff; $ba khztu;fspd; vz;zpf;ifiaf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 113
05.
www.lkedu.lk
csr;rhu;G guPl;irnahd;Wf;Fj; Njhw;wpa khztu; FOnthd;W ngw;w Gs;spfisf;nfhz;L jahupj;j
G+uzkw;w kPbwd; ml;ltizAk; mjw;Fupa G+uzkw;w tiyAUtiuaKk; jug;gl;Ls;sJ.
( 40 – 50 vd;gJ 40 ,Yk; $baJ 50 my;yJ 50 ,Yk; Fiwe;jj )
Gs;spfs;
khztu;fs;
tFg;ghapil vz;zpf;if
0 – 30
.............
30 – 40
8
40 – 50
............
50 – 60
10
60 – 80
2
i.
G+uzkw;w kPbwd; ml;ltizia tiyAUtiuaj;ijg;
nfhz;L epug;Gf.
ii.
kPbwd; ml;ltiziaf; nfhz;L tiyAUtiuaj;ijg;
G+uzg;gLj;Jf.
30
40
khztu;fspd; vz;zpf;if;
20
18
16
14
12
10
8
6
4
2
0
10
20
50
60
70
80
90
Gs;spfs;
iii. tiuag;gl;l tiyaUtiuaj;jpd; kPJ kPbwd; gy;Nfhzpia tiuf.
iv. 50 ,Yk; $ba Gs;spfisg; ngw;w khztu;fs;> nkhj;j khztu;fspd; vj;jid rjtPjk; Mfk;
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 114
www.lkedu.lk
MATHS MODEL PAPER
PART – I B
01.
39
3
utp Njhlk;goq;fs; cs;s xU ngl;bia &gh 600 ,w;F thq;fpdhu;. mg;ngl;bapy; cs;s Njhlk;
1
2
goq;fspy;
gOjile;jpUf;Fk; mNj Ntis mtu; gOjilahjtw;wpy;
Ij; jdJ Efu;r;rpf;F
6
5
itj;Jf;nfhz;lhu;.
i. Njhlk;gog; ngl;bapy; gOjilahky; ,Ue;j Njhlk;goq;fspd; vz;zpf;if Njhlk;goq;fspd;
nkhj;j vz;zpf;ifapy; vd;d gpd;dkhFk; ?
ii.
Efu;r;rpf;F itj;Jf;nfhz;lit Njhlk;goq;fspd; nkhj;j vz;zpf;ifapy; vd;d gpd;dkhFk;
iii. ,g;NghJ kPjpj; Njhlk;goq;fspd; vz;zpf;ifia xU Njhlk;gok; &gh 30 tPjk; tpwgjd;
%yk; utp &gh 300 ,yhgj;ijg; ngw;why; mtu; tpw;w Njhlk;goq;fspd; vz;zpf;if ahJ ?
iv. njhlf;fj;jpNy Njhlk;gog; ngl;bapy; ,Ue;j Njhlk;goq;fspd; vz;zpf;if ahJ ?
14 m
02.
G+e;Njhl;lnkhd;wpy; Gf;fd;Wfis ehl;Ltjw;F jpl;lkpl;Ls;s rJu
tbthd jiug;gFjp cUtpy; fhl;lg;gl;Ls;sJ. ,q;F epow;wg;gl;L
s;s fhy;tl;lg; gFjpfs; ehd;fpYk; fw;fs; gjpf;fg;gl;Ls;sJld;
vQ;rpa gFjpapy; G+f;fd;Wfs; ehl;lg;gl;Ls;sJ.
i. G+f;fd;Wfs; ehl;lg;gl;Ls;s gFjpapd; Rw;wsitf; fhz;f.
ii.
G+f;fd;Wfs; ehl;lg;gl;Ls;s gFjpapd; gug;gsitf; fhz;f.
iii. fw;fs; gjpg;gjw;F 1 m2 ,w;F &gh 50 nrythFk; vdpd; mjw;fhf nrythFk; nkhj;jg;
gzj;ijf; fhz;f.
iv. G+f;fd;Wfs; elg;gl;l gFjpapdJk; fw;fs; gjpf;fg;gl;l gFjpapdJk; gug;gsT khwh tz;zk;
,e;epyj; Jz;bd; cl;gFjpapy; fw;fSk; ntspapy; G+f;fSk; ehl;Ltjw;F ePq;fs; jPu;khdpj;jhy;
mjw;Fg; nghUj;jkd gUkl;lhd glnkhd;iw mstPLfSld; tiue;J fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 115
03.
www.lkedu.lk
cw;gj;jpahsu; jhd; cw;gj;jp nra;j nghUSf;F 20% ,yhgk; itj;J nkhj;j tpahghupf;F tpw;fpd;
whu;. nkhj;jtpahghup 10% ,yhgk; itj;J rpy;yiw tpahghupf;F tpw;fpdw
; hu;. rpy;yiw tpahghup
8% ,yhgk; itj;J Efu;NthDf;F nfhLf;fpd;whu;. mg; nghUs; Efu;Nthidr; nrd;wila
Fwpf;fg;gl;l tpiy &gh 7128 vdpd;
i. rpy;yiw tpahghupapd; nfhs;tpiy ahJ ?
ii.
cw;gj;jpahsupd; tpw;gid tpiy ahJ ?
iii. nkhj;j tpahghup ngw;w ,yhgk; ahJ ?
v.
cw;gj;jpahsu; mile;j ,yhgk; ahJ ?
vi. ,g; nghUis cw;gj;jpahsu; NeubahfNt &gh7128 ,w;F tpw;wpUe;jhy; mtupd; ,yhg rjtPjk;
ahJ ?
04.a ,U Rw;Wfis nfhz;l xU Nghl;bapy; Kjw; Rw;wpy; nty;gtu; khj;jpuk; ,uz;lhk; Rw;Wf;Fr; nry;y
yhk;. Nghl;bapy; gq;Fgw;wpa Nghl;bahsu; xUtu; Kjw; Rw;wpy; Njhw;gjw;fhd epfo;jfT 1/3 MFk;.
Nghl;bahsu; xUtu; ,uz;lhk; Rw;wpy; nty;tjw;fhd epfo;jfT 3/5 MFk;.
i. Nghl;bapd; Kjw; Rw;Wf;Fupa jfty;fisf; fhl;Ltjw;F fPNo cs;s ku tupg;glj;jpy; fpisfsp
d; kPJ cupa epfo;jfTfisf; Fwpf;f.
..........
ntw;wp
..........
Njhy;tp
Nghl;bapd; ,uz;lhk; Rw;Wf;Fupa jfty;fisf; fhl;Ltjw;F Nkw;Fwpj;j ku tupg;glj;ij tpupT
gLj;jp mjd; fpisfspd; kPJ cupa epfo;jfTfisf; Fwpf;f.
iii. Nghl;bapy; gq;Fgw;wpatu;fspilNa xUtiu vOkhwhfj; njupe;njLj;jhy; mtu;,U Rw;WfspYk;
ntw;wpngw;w xUtuhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
ii.
iv. Nghl;bapy; 120 Nghl;bahsu;fs; gq;Fgw;wpdhy; ,uz;lhk; Rw;wpy; vj;jid Nghl;bahsu;fs;
Njhw;ghu;fnsd vjpu;ghu;f;fyhk; ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 116
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2 k; jlit
b.
ngl;bnahd;wpy; 3 rptg;G khgps;fSk; 2 nts;is khgps;f
Sk; fhzg;gLfpd;wd. mtw;wpy; xd;iw vOkhwhfj; njupT
nra;fpd;whd;. mjd; epwk; mwpag;gl;l gpdd
; u; kPz;Lk; ngl;
bapypl;L kPz;LnkhU khgpis vOkhwhfj; njupT
nra;fpd;whd;
i. ,jw;fhd khjpup ntspia nea;aupapy; Fwpj;Jf; fhl;Lf
ii. ,k; khjpup ntspapy; ,U jlitfSk; xNu epwk; fpil
f;Fk; epfo;r;rpf;Fupa epfo;jfitf; fhz;f.
W2
W1
R3
R2
R1
R1
05.
R2
R3
1 k; jlit
W1
W2
guPl;irnahd;wpy; 20 khztu;fs; ngw;w Gs;spfs; fPNo jug;gl;Ls;sd.
53 , 55 , 57 , 62 , 62 , 65 , 66 , 68 , 71 , 73 , 73 , 74 , 75 , 77 , 78 , 82 , 83 , 84 , 85 , 88
i.
gs;spfspd; Mfhuk; ahJ ?
tFg;ghapil
50 – 60
60 – 70
70 – 80
80 – 90
kPbwd;
3
..........
..........
..........
ii.
jpws; kPbwd;
...........
...........
...........
20
Gs;spfspd; ,ilak; ahJ ?
ml;ltizapy; fhl;lg;gLfpd;wthW ,g;Gs;spfs;
$l;lkhf;fg;gl;Ls;sd.
iii. ml;ltizapy; ntw;wplq;fis epug;Gf.
iv. kPbwd; ml;ltiziaf; nfhz;L fPNy jug;g
l;Ls;s Ms;$w;Wj; jsj;jpd; kPJ kPbwd;
tisapia tiuf.
v. jpws; kPbwd; tisapiag; gad;gLj;jp
khzyu;fspd; Kjyhk; fhyiziaf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 117
www.lkedu.lk
www.teachmore.lk
MATHS MODEL PAPER
PART – I B
01.
40
3
1
1
gq;fpdu; tpQ;Qhdg; gpuptpYk;>
gq;
4
5
5
fpdu; fzpjg; gpuptpYk; fy;tp fw;fpd;wdu;. kPjpahdtu;fspy;
gq;fpdu; fiyg; gpuptpYk; fy;tp
11
fw;fpd;wdu;.
i. tpQ;Qhdk;> fzpjk; Mfpa gpupTfspy; fy;tp fw;gtu;fspd; vz;zpf;if> cau;jug; gpuptpy; fy;tp
gapYk; nkhj;j khztu;fspy; vd;d gq;fhFk; ?
rh`puh kj;jpa fy;Y}upapy; cau;juk; fw;Fk; khztu;fspy;
ii.
fiyg; gpuptpy; fw;gtu;fs;> cau;juj;jpy; fy;tp fw;Fk; khztu;fspy; vd;d gq;fhFk; ?
iii. Nkw;$wpa %d;W gpupTfspy; fy;tp fw;fhj midj;J khztu;fSk; tu;j;jfg; gpuptpy; fy;tp fw;fp
d;wduhapd;> tu;j;jfg; gpuptpy; fy;tp fw;Fk; khztu;fs; KO khztu;fspd; vd;d gq;fhFk; ?
iv. tu;j;jfg; gpuptpy; fy;tp fw;gtu;fspd; vz;zpf;if 18 vdpd; cau;juj;jpy; fy;tp fw;Fk; nkhj;j
khztu;fs; vj;jid Ngu; ?
v.
ghlrhiyapYs;s khztu;fspy; cau;juk; fw;Fk; khztu;fSf;Fk;> Vida khztu;fSf;Fk;
,ilapyhd tpfpjk; 3 : 25 vdpd; ghlrhiyapYs;s nkhj;j khztu;fs; vj;jid Ngu; ?
C
02.
D
33 m
E
ii.
B
14 m
A
cUtpy; fhl;lg;gl;bUg;gJ $l;l kz;lgnkhd;wpd; fpil
g;glkhFk;. miutl;l tbtpyhd CDE gFjp Nkil
mike;Js;s ,lkhFk;. ABCE ghu;itahsu;fSf;fhf
xJf;fg;gl;l ,lkhFk;.
i. kz;lgj;jpd; Rw;wsitf; fhz;f.
Nkilg; gFjpf;F 2 m x 1 m msthd fhgl; Jzp tpupf;fg;gLfpwJ. mg;gFjpf;F Njitahd
fhgl; Jzpj;Jz;Lfspd; mjp Fiwe;j vz;zpf;ifiaj; jUf.
iii. Rtu; topNa 2m f;F xU kpd;Fkpo; tPjk; epyj;jpypUe;J 2m cauj;jpy; nghUj;jg;gLfpwJ.
Njitahd kpd;Fkpo;fspd; vz;zpf;ifiaj; jUf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 118
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iv. ,k;kz;lgj;jpd; gug;gsTf;fr; rkdhd kz;lgnkhd;iw rJu tbtpy; mikg;gjhapd; mjd; xU
gf;f ePsk; ahJ ?
03.
gq;nfhd;;wpd; re;ij tpiy &gh 24 Mf cs;s fk;gdp xd;wpd; gq;Ffis tpiyf;F thq;fpa
nkh`kl; xU tUl gq;Fyhgj;ijg; ngw;w gpd;du; mtuplk; ,Ue;j 2000 gq;FfisAk; re;ij
tpi &gh 30 Mf ,Ue;j re;ju;gj;jpy; tpw;whu;.
i. nkh`kl; Nkw; Fwpj;j fk;gdpapy; KjyPL nra;j gzj;ijf; fhz;f.
ii.
gq;Ffis tpw;gjd; %yk; mtu; ngw;Wf; nfhz;l gzj;ijf; fhz;f.
iii. mtu; ngw;Wf; nfhz;l %yjd ,yhgj;ijf; fhz;f.
iv. tUlhe;j gq;fpyhgk; gq;nfhd;wpw;F &gh 6 toq;fg;gl;lJ vdpd; ,k; KjyPl;bdhy; xU tUl
j;jpy; mtUf;Ff; fpilj;j gq;fpyhgk; vt;tsT ?
v.
04.
,tu; ,k; KjyPl;bdhy; xU tUlj;jpw;Fg; gpwF ngw;Wf; nfhz;l KO tUkhdj;ij KjyPL
nra;j njhifapd; rjtPjkhff; fhl;Lf.
ciwnahd;wpDs; xNu khjpupahdJk; mstpy; rkkhdJkhd 6 Njhlk;fha;fs; cs;sd. mtw;Ws;
4 gOj;Jf; fhzg;gl;lJ. u`;kp vOkhwhf xU goj;ij vLf;fpwhd;. mJ fhahf fhzg;gbd; kPz;
Lk; ciwapDs; ,l;L kPz;Lk; xd;iw vLf;fpwhd;. KjyhtJ vLj;jJ gOj;Jf; fhzg;gl;lhy;
mij ciwapDs; ,lhky; ,d;ndhd;iw kPz;Lk; vLf;fpwhd;.
i. ,t;thW u`;kp vLj;j Njhlk;fha;fs; rk;ge;jkhff; fpilf;ff; $bavy;yh epfo;r;rpfSf;Fkhd
epfo;jfTfisf; fPo; cs;s kutupg;glj;jpd; fpisfspy; vOJf.
1 tJ vLif
2 tJ vLif
gok;
..........
.
..........
.
..........
.
..........
.
..........
.
fha;;
..........
.
ii.
gok;
fha;;
gok;
fha;;
u`;kp vLj;jit ,uz;Lk; gOj;jdthf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 119
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iii. mtu; vLj;jJ xU gOj;j gokhf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
iv. u`;kpf;F Mff; Fiwe;jJ xU gOj;j gokhtJ fpilg;gjw;fhd epfo;jfitf; fhz;f.
05.
tFg;ghapil
(epiw kg )
25 – 30
30 – 35
35 – 40
40 – 45
45 – 50
50 – 55
55 – 60
khztu;
vz;zpf;if
jpws;
kPbwd;
3
5
10
13
...........
6
3
3
8
............
............
39
............
.............
khztu;fs; FOnthd;wpd; epiw gw;wpa jfty;
mUNf ml;ltizapy; jug;gl;Ls;sJ.
i. ml;ltizapd; ,ilntspfisg; G+uzg;gLj;Jf
fPNo jug;gl;Ls;s jsj;jpy; jpus;kPbwd;
tisapia tiuf.
ii.
iii. tisapypUe;J
1. ,ila epiw
48
44
40
36
2. fhyizapil tPr;R vd;g
tw;iwf; fhz;f.
32
28
24
20
16
12
8
4
0
25
Grade :- 10 , 11
30
35
40
45
50
55
Mr. A.S.M. Azmy
60
iv. ,j;jftiy tl;l tiugpy;
fhl;lg;gbd; 50kg ,Yk; Nkw;
gl;l khztu;fis tiff;
Fwpf;Fk; Nfhzk; vj;jid
ghif vdf; fhz;f.
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
1
3
26 ÷ (
01. a. RUf;Ff.
41
3
1
)
6
b. xU ghlrhiyapd; fiy tpohtpy; mg;ghlrhiyapd; khztu;fspy;
1
1
MNdhu; ghLtjpYk; MNdhu;
3
4
4
MNdhu; xU ehlfj;jpYk; gq;Fgw;wpdu;. ,k;khztu;fs;
5
xt;nthUtUk; xU epfo;r;rpapy; khj;jpuk; gq;Fgw;wpdu;.
i. ghlrhiyapy; cs;s khztu;fspd; nkhj;j vz;zpf;ifapd; vd;d gpd;dk; ghLtjpNyh> MLt
jpNyh> gq;Fgw;wpa khztu;fspd; vz;zpf;ifahFk; ?
MLtjpYk; vQ;rpAs;s khztu;fspy;
ii.
khztu;fspd; nkhj;j vz;zpf;ifapd; vd;d gpd;dk; ehlfj;jpy; gq;Fgw;wpa khztu;fspd;
vz;zpf;ifahFk; ?
iii. khztu;fspd; nkhj;j vz;zpf;ifapd; vd;d gpd;dk; Nkw;Fwpj;j %d;W epfo;r;rpfspy; vjpYk;
gq;Fgw;whj vz;zpf;ifahFk; ?
iv. Nkw;Fwpj;j %d;W epfo;r;rpfs; vjpYk; gq;Fgw;whj khztu;fspd; vz;zpf;if 20 vdpd>;
vj;jid khztu;fs; MLtjpy; gq;Fgw;wpdu; ?
A
02.
20 m
B
14 m
D
E
ii.
cUtpy; xU Gw;wiu ABCD Ak; Gw;wiuapd;
vy;iy BC ia mLj;Js;s Xu; miutl;lf;
FsKk; fhzg;gLfpd;wd. cUtpy; AE = DE
i. vy;iy DC ,d; ePsk; ahJ ?
C
Gw;wiu ABCD ,d; gug;gsitf; fhz;f.
iii. Fsj;jpd; Rw;wsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 121
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iv. Fsj;jpd; gug;gsitf; fhz;f.
Kd;du; Nghd;W BC Ivy;iyahff; nfhz;L kw;iwa %d;W vy;iyfisAk; khw;wp mNj gug;Gs;s
xU nrt;tfg; Gw;wiuia mikg;gjw;F cj;Njrpf;fg;gl;Ls;sJ. ,k;khw;wj;jpd; gpd;du; ngwg;gLk;
xU tbtj;jpd; gUk;gbg; glj;ij tiue;J mjpy; cupa mstPlfisf; Fwpf;f.
v.
03.a. Fwpj;j gpuNjr rigapy; cs;s jpyfd; vd;gtupd; tPl;bw;F kjpg;gpl;l Mz;Lg;ngWkhdk; &gh 30000
MFk;. mtu; fhyhz;L tupahf &gh 450 nrYj;Jfpd;whu;.
i. mtu; nrYj;j Ntz;ba Mz;L tup ahJ ?
ii.
gpuNjr rig mwtpLk; tupapd; Mz;Lr; rjtPjk; ahJ ?
b. Xu; cil &gh 1 280 ,w;F tpw;fg;gLk;NghJ cw;gj;pahsUf;F 20% el;lk; Vw;gLfpd;wJ.
i. cilapd; cw;gj;jp tpiy ahJ ?
ii.
20% ,yhgj;ijg; ngWtjw;F me;j cil tpw;fg;gl Ntz;ba tpiy ahJ ?
04.
nts;is
nts;is
nts;is
i.
4
rptg;G
1
2
1
nts;is
3
1
xU nyhj;jupd; nty;Yk; rPl;il ,Og;gjw;Fg; gad;
gLj;jg;gLk; mjp\;lr; rf;fuk; cUtpy; vLj;Jf;
fhl;lg;gl;Ls;sJ. ,U rf;fuq;fSk; xd;iwnahd;
W rhuhjthW xU jlit khj;jpuk; Row;wg;gl;L
tpLtpf;fg;gLfpd;wd.
Kjw; rf;fuj;jpy; jug;gl;Ls;s jftiyg; gad;gLj;jpf; fPNo jug;gl;Ls;s ku tupg;glj;jpd; ,U
fpisfspYk; cupa epfo;jfTfis vOJf.
rptg;G
...........
...........
nts;is
ii. ,uz;lhtJ rf;fuj;jpypUe;J xU epiw tu;f;f vz;izg; ngWtjw;fhd epfo;jfT ahj ?
iii. ,uz;lhtJ rf;fuj;jpypUe;J xU epiw tu;f;f vz;izg; ngWtjw;fhd/ngwhikf;fhd re;ju;g;
gq;fis cs;slf;Ftjw;F ku tupg;glj;ij tpupTgLj;jp epfo;jfTfisf; Fwpf;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 122
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iv. nts;is vd;Dk; epwj;Jld; xU epiw tu;f;f vz;izg; ngWtjw;fhd epfo;jfitf; fhz;f.
2 k; Kiw
b. 4
xU ngl;bnahd;wpy; 1 – 4 tiu ,yf;fkplg;gl;l vz; ml;ilf
s; cz;L. mg;ngl;bapypUe;J Xu; vz; ml;il vOkhw;whfj;
njupT nra;ag;gLfpd;wJ. mjd; ,yf;fk; mtjhdpf;fg;gl;l
gpd; gpujp itg;gpd;wp ,d;ndhU ml;il njupT nra;ag;gl;L
mjd; ,yf;fk; mtjhdpf;fg;gLfpd;wJ.
i. ,g; gupNrhjidf;fhd khjpup ntspia jug;gl;l nea;aupapy;
Fwpj;Jf; fhl;Lf.
ii. vLf;fg;gl;l ,U vz; ml;ilfSk; ,ul;il vz;fshf
,Ug;gjw;Fupa epfo;jfT ahJ ?
3
2
1
1
2
1 k; Kiw
3
4
iii. ,U vz; ml;ilfSk; rJu vz;fshf ,Ug;gjw;Fupa epfo;jfT ahJ ?
05.
Mf];l;khjj;jpd;NghJ nra;jpj;jhs; fil xd;wpy; xt;nthU ehSk; tpw;fg;gl;l nra;jpj; jhs;fspd;
vz;zpf;if gw;wpa jfty;fisf; nfhz;L jahupf;fg;gl;l xU G+uzkw;w ml;ltizAk; xU G+uz
kw;w tiyAUtiuaKk; fPNo jug;gl;Ls;sd.
tpw;fg;gl;l nra;jpj;
jhs;fspd; vz;zpf;if
ehl;fspd;
vz;zpf;if
40 – 50
50 – 60
60 – 80
80 – 110
110 – 120
3
5
...........
9
............
30
70
100
120
10
9
8
7
6
5
4
3
2
1
0
40
50
60
80
90
110
i. ml;ltizapYs;s ntw;wplq;fis epug;gp tiyaUtiuaj;jpd; vQ;rpa gFjpiag; G+uzg;gLj;Jf.
ii. tiyAUtiuaj;ijg; gad;gLj;jp kPbwd; gy;Nfhzpia mikf;f.
iii. 80 ,Yk; Fiwthfr; nra;jpj;jhs;fs; tpw;fg;gl;l ehl;fspd; vz;zpf; if khjj;jpy; cs;s ehl;f
spd; nkhj;j vz;zpf;ifapy; 50% I tpQ;Rfpd;wnjdr; nra;jpj;jhs; tpw;gidahsu; $Wfpd;whu;.
ckJ tpilia tpsf;Ff.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
01.
42
3
Nju;jnyhdd;wpd; NghJ Fwpg;gpl;l Nju;jy; njhFjpnahd;Wf;fhf A , B, C vDk; %d;W fl;rpfs;
khj;jpuk; Nghl;bapl;lNjhL mitfs; ngw;Wf; nfhz;l nry;Ygbahd thf;Ffspd; tpfpjk; KiwNa
8 : 5 : 2 MFk;.
i. %d;W fl;rpfSk; ngw;Wf; nfhz;l nry;Ygbahd thf;Ffspy;> fl;rp A ngw;Wf; nfhz;l
thf;Ffisg; gpd;dkhfj; jUf.
ii.
fl;rp A MdJ>fl;rp B ,Yk; ghu;f;f ngw;Wf; nfhz;l thf;Ffspd; vz;zpf;if nry;Ygbahd
thf;Ffspy; vd;d gpd;dkhFk; ?
iii. fl;rp A MdJ fl;rp B I tpl 85 000 thf;Ffis mjpfkhfg; ngw;wjhapd; %d;W fl;rpfSk;
ngw;Wf; nfhz;l nry;Ygbahd thf;Ffs; vj;jid ?
iv. nry;Ygbahd nkhj;j thf;Ffs;> mspf;fg;gl;l nkhj;j thf;Ffspy; 95% vdpd;> thf;fspj;j
nkhj;j thf;fhsu;fs; vj;jid Ngu; ?
v.
Nju;jy; njhFjpapy; gjpT nra;ag;gl;l thf;fhsu;fs; 720 000 vdpd>; thf;fspf;fg;gl;l tPjk;
ahnjdf; fhz;f.
50 cm
2.
50 cm
21 cm
cU A
cU A ,y; cs;s mlupypUe;J tl;lnkhd;W
ntl;lg;gl;L mJ rkkhd %d;W Miur; rpiw
fshf gpupf;fg;gl;L jahupf;fg;gl;l tbtk;
cU B ,y; fhl;lg;gl;Ls;sJ.
i. ntl;lg;gl;l Miur;rpiwnahd;wpd; Miur;
rpiwf; Nfhzj;jpd; gUkd; ahJ ?
cU B
ii.
Miur;rpiwnahd;wpd; tpy; gFjpapd; ePsk; ahJ ?
iii. cU B ,d; Rw;wsitf; fhz;f.
iv. cU A ,ypUe;J tl;lj;ij ntl;ba gpd;> kPjkhFk; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 124
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03.a. goq;fs; tpw;gid nra;Ak; go tpahghup xUtu; 1 kg I &gh 120 tPjk; 150 kg Nfhopf; $l;L thiog;
goq;fis tpiyf;F thq;fpdhu;.
i. ,g;goq;fis tpiyf;F thq;Ftjw;Fr; nrythd gzj;ijf; fhz;f.
tpiyf;F thq;fpa goq;fspy; 8 kg gOjile;jjhy; mtw;iw tpw;f Kbatpy;iy. kPjpahd goq;
fis 1 kg &gh 180 ,w;F tpw;gjhy; fpilj;j gzj;ijf; fhz;f.
ii.
iii. ,t;tpw;gidahy; mtu; mile;j ,yhgj;ijAk;> ,yhg rjtPjj;ijAk; fhz;f.
b. Fwpg;gpl;l tUlnkhd;wpy; tUkhd tup mwtpLk; NghJ Kjy; &gh500000 ,w;F tUkhd tupapypUe;J
tup tpyf;fspf;fg;gl;lJ. mjw;fLj;j &gh 400 000 ,w;F 4% tupAk;> mjw;Fk; Nkyjpfkhd tUkh
dj;jpw;F 8% tupAk; mwtplg;gl;lJ. mt;tUlj;jpy; mtu; nrYj;jpa nkhj;j tupj;njhif
&gh 24 000 vdpd;>
i. 4% g;gb nrYj;jpa tupiaf; fhz;f.
mtuJ vt;tsT tUkhdj;jpw;F 8% g;gb tup nrYj;jg;gl;lnjdf; fz;L> tUl tUkhdj;ij
Ak; fhz;f.
ii.
04.
4
5
1
2
3
mUfpYs;s ghj;jpuj;jpy; 1 , 2 , 3 , 4 , 5 vd ,yf;fkplg;gl;l 5 ml;ilfs; cs;sd
cjad; ghj;jpuj;jpypUe;J xU ml;ilia vOkhwhf vLj;J tpl;L mJ xw;iw
vz;zh ? my;yJ ,ul;il vz;zh ? vdg; guPl;rpf;fpwhu;. kPz;Lk; ml;ilia
ghj;jpuj;jpy; ,lty;iy.
i. ,jw;fhd kutupg;glj;ij tiuf.
cjad;
.........
.........
xw;iw vz;
,ul;il vz;
mjidaLj;J gpujPg; Xu; ml;ilia vLj;J xw;iwah my;yJ ,ul;ilah vdg;guPl;rpf;fpwhu;.
NkNy tiue;j kutupg;glj;ij tpupTgLj;jp tiue;J cupa epfo;jfitf; Fwpf;f.
iii. ,UtUk; vLj;j ml;il xw;iwahf ,Ug;gjw;fhd epfo;jfitf; fhz;f.
ii.
iv. NkNy $wpa epfo;r;rpapd; khjpupntspia fPNo cs;s nea;aupapy; Fwpf;f.
v. cjad; vLj;j ml;il xw;iw vz;zhfTk;>gujPg; vLj;j ml;il ,ul;il vz;zhfTk; ,Ug;gj
w;fhd epfo;jfitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 125
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gpujPg;
5
4
3
2
1
1
05.
tFg;ghapil
( kg ,y;)
2–6
6 – 10
10 – 14
14 – 18
18 – 22
22 – 26
ehl;fspd;
vz;zpf;if
jpus;
kPbwd;
2
6
8
7
4
3
...........
...........
...........
...........
...........
...........
2
3
4
5
cjad;
tptrha cw;gj;jpahsu; xUtu; jhd; gapu;nra;j NghQ;rp
gapupypUe;J gwpj;njLj;j NghQ;rpapd; msT (kg ,y;)
mUfpy; cs;s ml;ltizapy; cs;sJ. ,q;F 2 – 6
vd;gJ 2 my;yJ 2 ,Yk; $l 6 ,Yk; FiwT
i. jpus; kPbwd; epuiyg; G+uzg;gLj;Jf.
ii. jug;gl;Ls;s ,r;rpy; jpus;kPbwd; tisapia tiuf
30
iii. jpus; kPbwd; tisap
iag; gad;gLj;jp
m. ,ilak;
28
26
24
22
20
M. Kjyhk;>%d;whk;
fhyizfisf;
fz;L fhyiz
,iltPr;irf;
fhz;f.
18
16
14
12
10
8
6
4
2
2
iv.
4
6
8
10
12
14
16
18
20
22
24
26
28
30
,e;j 30 ehl;fspYk; gwpj;j NghQ;rpapy; 22 kg ,Yk; mjpfkha; gwpj;j ehl;fspd; rjtPjj;ijf;
fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 126
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MATHS MODEL PAPER
PART – I B
43
3
2
1
gq;if cilthq;Ftjw;Fk;
gq;if cztpw;Fk; nryT nra;fpwhu;
11
2
kPjpg;gzkhdJ NtWNjitfSf;F gad;gl;lJ.
i. rk;gsg;gzj;jpy; vd;d gpd;dkhdJ cilf;Fk; czTf;Fk; gad;gLj;jg;gl;lJ.
Fkhu; jdJ rk;gsj;jpy;
01.
1
gq;fhdJ Nghf;Ftuj;jpw;F gad;gLj;jg;gl;lJ.
7
nkhj;j rk;gsj;jpy; vd;d gpd;dkhdJ Nghf;Ftuj;jpw;F gad;gl;lJ ?
kPjpg;gzj;jpy;
ii.
Nghf;Ftuj;jpw;F nryT nra;j gpd; vQ;rpa gzkhdJ tq;fpapy; itg;Gr;nra;ag;gl;lJ.
iii. nkhj;j rk;gsj;jpy; vd;d gpd;dkhdJ tq;fpapy; itg;gr; nra;ag;gl;lJ ?
iv. tq;fpapy; itg;G nra;j gzk; &gh 9 000 vdpd; mtuJ nkhj;j rk;gsk; ahJ ?
v.
cilf;Fk;> cztpw;Fk;> tq;fpapy; itg;Gr; nra;j gzj;jpw;Fk; ,ilapyhd tpfpjk; ahJ ?
A
02.
14 m
B
D
ii.
ruptf tbt G+e;Njhl;lKk; mjDld; miutl;l tbt
FsKk; xd;wpd; jiuapd; mikg;G fPNo fhl;lg;gl;Ls;sJ.
i. AB ahdJ DC ,d; miuklq;F vdpd; cUtpd;
Rw;wsT ahJ ?
C
Fsj;jpd; gug;sT ahJ ?
iii. G+e;Njhl;lj;jpy; Gw;fs; eLtjw;F &gh 88 200 nrythfpd;wJ vdpd;> 10 m2 gug;gpy; Gw;fs; eLt
jw;F vt;tsT gzk; nrythFk; vd fhz;f.
iv. Fsj;jpy; cs;s ePiu 770 l / min vDk; tPjj;jpy; ntspNaw;w 200 epkplq;fs; vLj;jJ vdpd;
Fsj;jpy; ePu; cs;s cauk; ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 127
v.
03.
www.lkedu.lk
Fsj;jpd; gug;gsTf;F rkdhd gug;gsitf; nfhz;lJk; BC I Xu; vy;iyahfTk; nfhz;L
G+e;Njhl;lj;jpDs; Kf;Nfhz tbtpyhd gpuNjrj;jpy; Nuh[h nrbfis kl;Lk; elNtz;Lnkdpd;
mjw;fhd gpuNjrj;jpid Nkw;Fwpj;j glj;jpy; Fwpj;Jf; fhl;Lf.
gq;Fr;re;ijapy; KjyPL nra;Ak; Fkhu; xU gq;fpd; re;ij tpiy &gh 100 MfTs;s fk;gdpapd;
gq;Ffis nfhs;tdT nra;tjw;F &gh 30 000 I KjyPL nra;fpwhu;. mf;fk;gdp xU gq;fpw;F
&gh 4 tPjk; Mz;L gq;F ,yhgj;ij nfhLf;fpd;wJ.
i. Fkhu; thq;fpa gq;Ffspd; vz;zpf;ifiaf; fhz;f.
ii.
Fkhu; ngWk; Mz;L gq;Fyhg tUkhdj;ijf; fhz;f.
Xu; Mz;Lf;Fg; gpd;du; jd;dplkpUe;j gq;Ffs; KOtijAk; tpw;gjd; %yk; &gh 1 800 %yjd
,yhgk; milfpd;whu; vdpd;>
iii. xU gq;fpd; tpw;gid tpiy ahJ ?
Fkhu; jd;dplKs;s gq;Fyhg tUkhdj;Jld; gq;Ffis tpw;Wg; ngw;w gzj;jpidAk; Nru;j;J
8% Mz;L $l;Ltl;b tPjj;ij jUk; xU epiyahd itg;g fzf;fpy; ,U Mz;Lfs; itg;G
nra;fpd;whu;.
iv. ,U Mz;Lfs; ,Wjpapy; fzf;fpy; cs;s nkhj;j gzj;ijf; fhz;f.
04.a. Fwpj;jnthU jkpo; ghlrhiyapy; cs;s juk; 5 khztu;fs; Gyik guPl;irapy; rpj;jpailtjw;fhd
epfo;jfT 2/7 MFk;.
i. juTfis kutupg;glj;jpy; Fwpf;Ff.
.............
P
.............
F
rpj;jpailAk; khztu;fs; juk; 6 ,y; Mq;fpy nkhop%yj;jpy; fw;gjw;fhd epfo;jfT 1/4 ck;
rp;j;jpailahjtu;fs; jkpo; nkhop %yk; fw;gjw;fhd epfo;jfT 2/5 Mfk;. Mq;fpy nkhopapy;
my;yJ jkpo; nkhopapy; fw;wiy fhl;Lk; kutupg;glj;ij tpupTgLj;Jf.
iii. khztd; xUtd; vOkhwhf njupT nra;ag;gl;lhy; mtd; Mq;fpy nkhop $yj;jpy; fy;tp fw;gj
w;fhd epfo;jfT ahJ ?
ii.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 128
b.
www.lkedu.lk
,uz;lhtJ
ngl;b xd;wpy; 3 ePy epw iff;Fl;ilfSk; 2 rptg;Gepw iff;Fl;il
fSk; fhzg;gLfpdw
; d. xUtd; mjpypUe;J xU iff;Fl;ilia
ntspNa vLj;J epwk; Fwpj;j gpd; ngl;bapDs; ,lhky; kPz;Lk; xU
iff;Fl;ilia vLj;J epwk; Fwpf;fpd;whd;.
i. epfo;Tf;fhd khjpup ntspiaj; jug;gl;Ls;s nea;aupapy; Fwpj;J
fhl;b vLf;fg;gl;l ,uz;L iff;Fl;ilfSk; xNu epwkhdjhf
,Ug;gjw;fhd epfo;jfT ahJ ?
R2
R1
B3
B2
B1
B3
B1 B 2
05.
R1
R2
KjyhtJ
Gs;spfs;
khztu;fspd;
tFg;ghapil vz;zpf;if
0 – 20
10
20 – 30
10
30 – 40
..........
40 – 50
..........
50 – 80
15
khztu;fspd;
ii.
Kjyhtjhf vLf;fg;gLk; iff;Fl;il ePy epwkhfTk; ,uz;lh
tjhf vLf;fg;gl;l iff;Fl;il rptg;G epwkhdjhfTk; ,Ug;gj
w;fhd epfo;jfitf; fhz;f.
nraw;jpl;lq;fis kjpg;gpLtjpy; gq;Fgw;wpa juk; 12 ,d; khztu;
FO xd;W ngw;w Gs;spfisf; nfhz;L jahupj;j G+uzkw;w kPbwd;
guk;gYk; mjw;Fupa G+uzkw;w tiyAUtiuaKk; fPNo jug;gl;Ls;sd
(20 – 30 vd;gJ 20 ,Yk; $baJ 30 my;yJ 30 ,Yk; Fiwe;jJ
vd;gjhFk;)
i. jug;gl;Ls;s G+uzkw;w tiyAUtiuaj;ijf; nfhz;L kPbwd;
guk;gypy; cs;s ntw;wplq;fis epug;gf.
vz;zpf;if
20
15
10
5
0
ii.
10
20
30
40
50
60
70
80
90
100
Gs;spfs;
Nkw;Fwpj;j kPbwd; guk;giyf; nfhz;l tiyAUtiuaj;ijg; G+uzg;gLj;Jf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 129
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MATHS MODEL PAPER
PART – I B
01.
44
3
KUifah xU njhif khk;goq;fis &gh 1 200 f;F tpiyf;F thq;fpdhu;. mtw;wpy;
gOjile;J fhzg;gl;lJ. kPjpahdtw;wpy;
1
gq;F
8
3
gq;F gOf;fhky; fhahfTk; Vidait gOj;Jk;
7
fhzg;gl;lJ.
i. ey;y epiyapy; fhzg;gl;lit KOj;njhifapd; vd;d gpd;dkhFk; ?
gOf;fhky; (fhahf) fhzg;gl;lit KOj;njhifapd; vd;d gpd;dkhFk; ?
ii.
iii. gOj;j khk;goq;fs; KOtijAk; xd;W &gh 50 tPjk; tpw;gjhy;> mtUf;F &gh800 ,yhgkhf
fpilf;fg;ngw;wJ.
a. gOj;j goq;fs; KOtijAk; tpw;Wg; ngw;w gzk; vt;tsT ?
b. gOj;j goq;fspd; vz;zpf;if ahJ ?
iv. tpiyf;F thq;fpa nkhj;jf; fha;fspd; vz;zpf;if ahJ ?
02.
P
14 m
14 m
126 m
10 m Q
A
B
86 m
10 m
S
ii.
PQRS vd;gJ nrt;tf tbt tpisahl;L ikjhdk;
MFk;. ikjhdk; A,B,C vd %d;W gFjpfshfg; gpup
f;fg;gl;Ls;sJ. A MdJ mjpjpfs; kz;lgk;.C Md
J ghu;itahsu; muq;F. B MdJ tpisahl;Lf;F
cgNahfg;gLj;Jk; gFjpahFk;.
i. ghu;itahsu; muq;fpd; Rw;wsitf; fhz;f.
C
R
mjpjpfs; kz;lgj;jpd; Rw;wsT 50 m vdf; fhl;Lf.
iii. tpisahLtjw;fhf xJf;fg;gl;Ls;s gFjp B ,d; gug;gsitf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 130
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iv. mjpjpfs; kz;lgj;jpy; gug;gstpd; 10 klq;F gug;gsitf; nfhz;l thfdj;jupg;gplk; xd;W
ikjhdj;Jf;F ntspNa QR I Xu; vy;iyahff; nfhz;L nrt;tf tbtpy; mikf;fg;gLfpwJ
mstPLfSld; mjd; gUk;gbg;glj;ij tiue;J fhl;Lf.
03.a. njhopw;rhiy tpLjpnahd;wpy; 50 njhopyhsu;fSf;F 20 jpdq;fSf;Fg; NghJkhd czT fsQ;rpa
g;gLj;jg;gl;Ls;sJ. 4 jpdq;fSf;Fg; gpwF 10 njhopyhsu;fs; tpyfp NtnwhU njhopw;rhiyf;Fr;
nrd;wdu;.
i. jw;NghJ kPjkhfTs;s czT 40 NgUf;Fk; vj;jid jpdq;fSf;Fg; NghJkhdjhFk; ?
ii.
,d;Dk; 2 jpdq;fSf;Fg; gpwF 5 Ngu; Gjpjhfr; Nru;e;jdu;. vdpd; jw;NghJ kPjkhAs;s czT
45 NgUf;Fk; vj;jid jpdq;fSf;Fg; NghJkhdjhapUf;Fk; ?
b. Nahfl; cw;gj;jpf;Fj; Njitahd gzj;jpd; 1/3 gq;fhd &gh 25 000 I itj;jpUe;j uQ;rd; kPjpg;
gzj;ij epjp epWtdnkhd;wpy; 12% vspatl;bg;gb 2 Mz;Lfspy; kPsr; nrYj;Jtjw;F fldhfg;
ngw;Wf; nfhz;lhu;.
i. mtu; ngw;Wf;nfhz;l fld; gzk; vt;tsT ?
ii.
fldpypUe;J tpLgLtjw;Fr; nrYj;j Ntz;ba nkhj;jg; gzk; vt;tsT ?
04.a. khfhz jkpo; nkhopj;jpdj;Jf;F jFjpahdtu;fisj; njupT nra;Ak; Nghl;bapy; fye;J nfhz;l 12
khztu;fspy; 5 Ngu; ,uz;lhk; Rw;Wf;Fj; jFjp ngw;wdu;. ,uz;lhk; Rw;wpy; xU khztd; khj;jpuk;
,Wjp Nghl;bf;F njupT nra;ag;gl;lhd;.
i. NkNyAs;s epfo;r;rpfSf;fhd kutupg;glj;ijg; G+uzg;gLj;Jf.
1 k; Rw;W
ii.
2 k; Rw;W
5
12
jFjp ngw;wtu;fs;
................
.
.......................
khztndhUtd; ,Wjpg; Nghl;bf;Fj; njupthFk; epfo;jfitf; fhz;f.
b. 3 Mz; gps;isfs; > 2 ngz; gps;isfs; nfhz;l tpthjf; FOtpw;F jiytu; xUtiuAk; >cg
jiytu; xUtiuAk; Nju;e;njLf;f Ntz;Lk;.
i. mt;thW njupT nra;af; $ba vy;yh re;ju;g;gq;fisAk; fhl;Lk; nea;aupia G+uzg;gLj;Jf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 131
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ii.
jiytuhfTk;> cgjiytuhfTk; ,U Mz; gps;isfs;
njupT nra;ag;gLtjw;fhd epfo;jfit fhz;f.
iii. jiytu; MzhfTk;>cg jiytu; ngz;zhfTk; ,Ug;gjw;
fhd epfo;jfitf; fhz;f.
khztu;fspd; vz;zpf;if
05.
Fwpg;gpl;l khjnkhd;wpDs; 60 Ngu;
,izaj;ijg; ghtpj;j fhy msT
gw;wpa jfty;fis mbg;gilahff;
nfhz;L tiuag;gl;l tiyAU
tiuak; mUNf cs;sJ.
i. tiyAUtiuaj;ijg; gad;gLj;jp
kPbwd; gy;Nfhzpia mikf;f.
12
10
8
6
4
2
0
5
10
15
20
25
30
35
40
45
fhy mst (kzpj;jpahyk;)
tFg;ghapil
(kzpj;jpahyk;)
ghtidahsu;
vz;zpf;if
5 – 15
A
15 – 25
B
25 – 30
C
30 – 45
D
...........
............
.............
...........
ii.
,t;tiuigg; gad;gLj;jp gpd;
tUk; ml;ltiziag; G+uzg;
gLj;Jf.
iii. mk;khjj;jpy; 25 kzpj;jpahyj;jpYk; $Ljyhf ,izaj;ijg; gad;gLj;Jgtu;fspd; vz;zpf;
ifia rjtPjkhfj; jUf.
iv.
A
D
1080 x0
0
z0 y
C
Grade :- 10 , 11
NkNy iii ,Ys;s ml;ltizapYs;s juTfSf;fhd gUkl;lhd
tl;ltiuG mUfpYs;sJ. mjpy; fhl;lg;gl;Ls;s x , y, z Nfhz
q;fisf; fhz;f.
B
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 132
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MATHS MODEL PAPER
PART – I B
Fwpj;jnthU ehnshd;wpy; ePu; epuk;gpAs;s jhq;fpapypUe;j ePupy;
01.
45
3
1
gad;gLj;jg;gl;lJ. mjd; kW
4
i.
5
ghtidf;F vLf;fg;gl;lJ.
6
KjyhtJ ehspd; ,Wjpapy; vQ;rpapUe;j ePupd; msT KO jhq;fpapd; vd;d gpd;dk; ?
ii.
,uz;lhk; ehspy; ghtpf;fg;gl;l ePupd; msT KOj;jhq;fpapd; vd;d gpd;dkhFk; ?
ehs; jhq;fpapy; vQ;rpapUe;j ePupd; mstpy;
iii. ,uz;lhk; ehspd; ,Wjpapy; jhq;fpapy; vQ;rpAs;s ePupd; msT vd;d gpdd
; khFk; ?
iv. ,uz;lhk; ehspd; ,Wjpapy; jhq;fpapy; 500 L ePu; vQ;rpapUg;gpd; KjyhtJ ehspy; ghtpf;fg;gl;l
ePupd; msit yPw;wupy; jUf.
02. A
B
14 m
D
ii.
20 m
jug;gl;Ls;s cUthdJ nrt;tf tbtpyhd ABCD
vDk; fhzpapd; tiuglkhFk;. mjpy; miutl;l tbtpy;
mike;j Fsk; xd;Wk; Kf;Nfhz tbtpy; mike;j
G+e;Njhl;lk; xd;Wk; fhl;lg;gl;Ls;sd.
i. Fsj;jpd; Miu ahJ ?
C
Fsk; mike;Js;s gFjpapd; gug;G ahJ ?
iii. fhzp ABCD ,d; gug;gsT ahJ ?
iv. G+e;Njhl;lj;jpd; gug;gsitf; fhz;f.
v.
vQ;rpa gFjpapy; Gy; gjpg;gjw;F xU rJukPw;wUf;F &gh 195 vdpd; Njitahd nkhj;jg; gzk;
ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 133
03.
www.lkedu.lk
xU ePu;jhq;fpia epug;Gtjw;F A, B vd;Dk; ,uz;L Foha;fs; nghUj;jg;gl;Ls;sd.Foha; A kl;Lk;
jpwe;J tplg;gLk;NghJ ePu;j;jhq;fpia epug;Gtjw;F 8 kzpj;jpahyq;fSk;> Foha; B kl;Lk; jpwe;J
tplg;gLk;NghJ ePu;j;jhq;fpia epug;Gtjw;F 12 kzpj;jpahyq;fSk; vLf;fpd;wd. jhq;fp epuk;gpapUf;
Fk; NghJ mjid Kw;whf ntWikahf;Ftjw;F C vd;Dk; Foha;f;F 6 kzpj;jpahyq;fs;
vLf;fpd;wJ.
i. jhq;fp ntWikahf ,Uf;Fk;NghJ A , B Mfpa ,U Foha;fSk; jpwf;fg;gl;lhy; jhq;fpapd;
miuthrpia ePupdhy; epug;Gtjw;F vLf;Fk; Neuj;ijf; fhz;f.
ii.
jhq;fp ntWikahf ,Uf;Fk;NghJ A, B, C Mfpa %d;W Foha;fSk; xUkpj;Jj; jpwf;fg;gl;lhy;
1 kzpj;jpahyj;jpy; jhq;fpapd; vg; gpd;dk; ePupdhy; ep ug;gg;gLk; ?
iii. jhq;fpapd; miuthrpf;F ePu; epuk;gpapUf;Fk; NghJ %d;W Foha;fSk; jpwf;fg;gl;lhy; jhq;fp
Kw;whf epuk;Gtjw;F vLf;Fk; Neuj;ijf; fhz;f.
04.
B
A vd;Dk; ghj;jpuj;jpy; 4 rptg;G khgps;fSk; 5 ePy
khgps;fSk; cs;sJ. B vd;Dk; ghj;jpuj;jpy; 3
rptg;G khgps;fSk; 4 ePy khgps;fSk; cz;L. xU
khztd; A ,ypUe;J ghu;f;fhky; vOkhw;whf xU
khgpis vLj;J ghj;jpuk; B ,Ds; ,Lfpd;whd;.
gpd;du; ghj;jpuk; B ,ypUe;J xU khgpis vOkhw;
whf vLf;fpd;whd;. Nkw;gb epfo;r;rpfisf; Fwpf;Fk;
kutupg;glk; G+uzkw;w epiyapy; jug;gl;Ls;sJ.
R
B
R
B
R
B
B
B
R
R
R
B
R
B
B
A
B
A
B
...................
4
9
R
R
B
...................
...................
...................
B
R
B
...................
B
i. kutupg;glj;ij G+uzg;gLj;Jf.
ii. Kjypy; vLj;j khgps; rptg;G epwkhf ,Ug;gjw;fhd epfo;jfT ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 134
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iii. ,uz;L khgps;fSk; xNu epwKilajhf ,Ug;gjw;Fupa epfo;jfT ahJ ?
iv. Fiwe;jJ xU khgpshtJ rptg;G epwkhf ,Ug;gjw;Fupa epfo;jfT ahJ ?
05.
tpw;fg;gl;l
muprpapd; jpzpT
thuq;fspd;
vz;zpf;if
90 – 100
100 – 110
110 – 130
13 0 – 160
3
5
6
6
tpahghup xUtu; jd;dplkpUe;j
muprpia thunkhd;wpw;F tpw;Fk;
msT gw;wpa tpguk; mUNf
jug;gl;Ls;sJ.
i. tiyAU tiuak; tiuf.
ii. kPbwd; gy;Nfhzp mikf;f.
iii. 130 kg ,Yk; $basT muprp tpw;fg;gl;l thuq;fis juT ngwg;gl;l thuq;fspd; rjtPjkhfj;
fhl;Lf.
iv.
NkNy ml;ltizapYs;s jfty;fSf;Nfw;g gUkl;lhf
tiuag;gl;l tl;l tiugpy; x , y , z vDk; Nfhzq;fspd;
ngWkhdq;fisf; fhz;f.
90 – 100
110 – 110
x
130 – 160
y
z
110 – 130
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 135
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MATHS MODEL PAPER
PART – I B
01.
Fwpj;j fpuhkk; xd;wpy; ghlrhiy nry;Yk; gps;isfspy;
gapy;fpd;wdu;. kPjpahd gps;isfspy;
46
3
2
gq;fpdu; cau;ju tFg;Gf;fspy; fy;tp
11
2
gq;fpdu; juk; 6 njhlf;fk; juk; 11 tiuahd
3
tFg;Gf;fspy;
fy;tp gapy;fpd;wdu;. VidNahu; Muk;g tFg;G khztu;fshtu;.
i. cau;ju tFg;Gf;fspy; fw;fhj khztu;fs; ghlrhiy nry;Yk; khztu;fspy; vd;d gpd;dkhFk;
ii.
juk; 6 njhlf;fk; juk; 11 tiuahd tFg;Gf;fspy; cs;s khztu;fs; fpuhkj;jpYs;s khztu;
fspy; vd;d gpd;dkhFk; ?
iii. cau;juj;jpy; fw;Fk; khztu;fSf;Fk;> Muk;g tFg;Gf;fspy; (juk; 1 – 5 ) fw;Fk; khztu;fSf;
Fk; ,ilapyhd tpfpjk; ahJ ?
iv. juk; 6 – 11 tFg;Gf;fspYs;s khztu;fs;> cau;ju tFg;G khztu;fis tpl 80 mjpfkhapd;
fpuhkj;jpYs;s ghlrhiy nry;Yk; khztu;fspd; vz;zpf;if ahJ ?
v.
r%f Nrit epWtdk; xd;wpdhy;> Muk;g tFg;G khztu;fSf;Fg; gfpu;e;jspg;gjw;fhf 300 mg;
gpahrf; nfhg;gpfs; toq;fg;gl;lJ. xU khztDf;Ff; fpilf;Fk; nfhg;gpfs; vj;jid ?
F
02.
42 m
E
D
28 m
A
B
ii.
ABCDEF vd;gJ G+q;fhnthd;wpd; fpilg;g
lkhFk;. ,q;F CDE xU fhy; tl;ltbt
jlhfkhFk;.
i. AC ,d; ePsk; ahJ ?
C
jlhfk; jtpu;e;j ACEF ,d; gug;gsitf; fhz;f.
iii. AF ,d; ePsj;ijf; fhz;f (
Grade :- 10 , 11
2 = 1.4 MFk; )
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 136
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iv. jlhfj;Jld; KOg;G+q;fhtpdJk; Rw;wsitf; fhz;f.
jlhfk; mt;thNw ,Uf;fj;jf;fjhf ruptfk; ACEF ,w;Fg; gjpyhf mjd; gug;gstpw;F rkdhd
nrt;tfnkhd;whf ,Uf;fj;jf;f G+q;fhit khw;wpaikf;f Ntz;Lk;. nrt;tfg;gFjpapd; xU gf;f
vy;iy CE Mf ,Uf;FkhW mstPLfisf; Fwpg;gpl;L nrt;tfj;ij tiuf.
v.
03.a. kuj;jsghlj; njhFjpnahd;W Fwpj;j tpiyapy; 5% fopT nfhLj;J &gh 22 230 f;F tpw;fg;gLfpwJ
i. tpw;gidf;fhf Fwpj;j tpiyiaf; fhz;f.
ii.
,k;kuj;jsghlj; njhFjpapd; cw;gj;jptpiy &gh 18 000 MFk;.
1. vt;tsT ,yhgk; vjpu;ghu;j;J tpiy Fwpf;fg;gl;lJ. ?
2.
vjpu;ghu;j;j ,yhg rjtPjk; ahJ ?
b. fhzpnahd;iw tpw;gjw;fhf jufuhfr; nraw;gl;l xUtu; fhzpia tpw;gid nra;j njhifapd;
5% I juFf; fl;lzkhfg; ngw;Wf; nfhs;fpwhu;.
i. ngw;Wf; nfhz;l juFf; fl;lzk; &gh 12 000 vdpd;> fhzpia tpw;w tpiyiaf; fhz;f.
ii.
04.a. i.
fhzpr; nrhe;jf;fhuUf;Ff; fpilj;j gzk; vt;tsT ?
fzf;fhsuhd rJu;rd; thu ehl;fs; 3 ,y; g]; tz;bapYk; kPjp 2 ehl;fs; Gifapujj;jpYk;
Ntiyf;Fr; nry;fpwhu;. ,e;epfo;r;rpiaf; fhl;Lk; fPOs;s kutupg;glj;ij G+uzg;gLj;Jf.
2
5
Gifapuj tz;b
g];
g]; tz;bapy; nrd;why; cupa Neuj;Jf;F fhupahyaj;ijr; nrd;wilAk; epfo;jfT 5/6 ck;
Gifapujj;jpy; nrd;why; cupa Neuj;Jf;F fhupahyaj;ij nrd;wilAk; epfo;jfT 4/5 ck;
MFk;. vdpd; NkYs;s kutupg;glj;ij tpupTgLj;Jf.
iii. cupa Neuj;Jf;F fhupahyaj;ij milAk; epfo;jfT ahJ ?
ii.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 137
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iv. Gifapujj;jpy; nrd;why; cupa Neuj;jpy; fhuahyaj;ij mila Kbahj epfo;jfT ahJ ?
b. 40 khztu;fSs;s tFg;nghd;wpy; 20 khztu;fs; fzpj rq;fj;jpYk; 25 khztu;fs; tpQ;Qhd
rq;fj;jpYk; 15 khztu;fs; NtW rq;fq;fspYk; mq;fj;Jtk; ngw;Ws;sdu;. fzpj rq;fj;jpy;
cs;s midtUk; tpQ;Qhd rq;fj;jpYk; mq;fj;Jtk; tfpf;fpdw
; du;.
i. ,jid ntd;tupg;glnkhd;wpy; fhl;Lf.
ii. n ( M∩S ) ahJ ?
iii. n ( Ml ∩S ) If; fhz;f.
05.
40 Gs;spfs; toq;Fk; tpdhg;gj;jpuk; xd;Wf;Fj; Njhw;wpa juk; 11 khztu;fs; FOnthd;W ngw;w
Gs;spfs; tUkhW.
tFg;ghapil
(Gs;spfs;)
khztu;fs;
vz;zpf;if
5 – 10
10 – 15
15 – 20
20 – 25
25 – 30
30 – 40
3
6
9
6
4
2
khztd; xUtd; ngw;Ws;sjhf vjpu;ghu;f;fj;jf;f mjpFiwe;j Gs;spiaAk; mjp$ba Gs;spia
Ak; jUf.
ii. ,j;jftiy jug;gl;Ls;s mr;rpy; tiyAU tiuaj;jpdhy; fhl;Lf.
khztu;fs;
i.
8
7
6
5
4
3
2
1
0
5
10
15
20
25
30
35
40
Gs;spfs;
iii. tiyAU tiuaj;ijg; gad;gLj;jp kPbwd; gy;Nfhzpia mikf;f.
iv. ,t;tpdhg;gj;jpuj;jpy; 40% khztu;fspd; milT kl;lk; jpUg;jpfukhdJ vdpd;> mjw;fhf xU
khztd; ngw;Ws;s mjpFiwe;j Gs;sp ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
47
3
1
gq;fpy; khkuKk; kPjpapd; fhw;gq;fpw;F gg;ghrpAk; gapuplg;gl;lJ
3
vQ;rpa gFjpia %d;W rk gFjpfshf gpupj;J mtw;wpy; KiwNa khJis> ney;yp> thio vd;gd
gapuplg;gl;lJ.
i. khkuk; gapuplg;gl;l epyk; jtpu;e;j gFjp KOg; gug;gstpd; vd;d gpd;dkhFk; ?
xU Njhl;lj;jpy; mjd; gug;gstpd;
01.
ii.
gg;ghrp kuk; gapuplg;gl;l epyk; KOg;gug;gstpd; vd;d gpd;dk; ?
iii. thio tif gapuplg;gl;l epyk; KOg;gug;gstpd; vd;d gpd;dk; ?
iv. khJisiatpl khkuk; 4 Vf;fupy; $Ljyhf gapuplg;gl;lhy; gz;idapd; KO gug;G vj;jid
Vf;fu; MFk; ?
v.
02.
khkuk; gapuplg;gl;l epyg;gug;gpd; msT ahJ ?
A
14 m
G+e; Njhl;lk; xd;wpd; jiuapd; mikg;G mUNf fhl;lg;gl;Ls;
sJ. G+e;Njhl;lj;jpy; miutl;l tbt Fsk; xd;W cs;sJ.
i. G+e;Njhl;lj;jpy; AB, CD vDk; ,U vy;iyfSf;Fk;
,ilNaahd kpff;FWfpa J}uk; ahJ ?
B
13 m
D
C
30 m
ii.
Fsj;jpd; gug;gsT ahJ ?
iii. Fsk; jtpu;e;j Vida gpuNjrj;jpy; Gw;fs; elg;gLfpwJ.Gw;fs; elg;gl;l gpuNjrj;jpd; gug;G ahJ
iv. 10 m2 gug;Gf;F Gw;fs; gapupLtjw;F nryT &gh 2 250 vdpd; Gw;fs; gapupLtjw;F nrythd
gzj;ijf; fhz;f.
Grade :- 10 , 11
Mr. A.S.M. Azmy
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Fsj;jpy; 2 m cauj;jpw;F ePu; cs;sJ vdpd; Fsj;jpy; cs;s ePupd; fdtsit L ,y; fhz;f
v.
03.
xU fk;gdpapy; gq;nfhd;wpd; tpiy &gh 30 MFk;. fk;gdpahdJ tUlnkhd;wpw;F xU gq;fpw;F
&gh 2.50 gq;fpyhgkhf toq;FfpwJ. Fkhu; gq;Ffis thq;Ftjw;F &gh 270 000 I KjyPL
nra;jhd;.
i. FkhUf;F fpilf;Fk; gq;Ffs; vj;jid ?
FkhUf;F xU tUlj;jpy; fpilf;Fk; gq;fpyhgk; vt;tst ?
ii.
iii. ,f; fk;gdpapy; gq;Ffis itj;jpUf;Fk; utpf;F tUlj;jpw;F &gh 5 000 gq;fpyhgkhf fpilf;
fpwJ vdpd; mtu; Kjypl;l njhif vt;tsT ?
iv. Fkhu; jdf;F fpilj;j gq;Fyhgj;ij 10% vspa tl;bf;F nfhLj;jhd; vdpd; 2 tUlq;f
spd; gpd;du; ,jpy; fpilf;Fk; nkhj;jg; gzk; vt;tsT ?
04.
Fwpg;gpl;l ghlrhiynahd;wpy; f.ngh.j (rh/j) guPl;irf;F Njhw;Wk; khztu;fSs; 5/6 gq;fpdu;
rpj;jpailtu; vd;Wk; rpj;jpaile;jtu;fSs; 1/4 gq;fpdu; cau;ju tpQ;Qhd gpuptpy; fw;fyhk; vd;Wk;
fzf;fplg;gl;lJ.
i. Nkw;gb juTfis kutupg;glj;jpy; Fwpj;Jf; fhl;Lf.
5
6
...........
1
4
cau;ju tpQ;Qhdj;Jiw
...........
cau;ju Vida Jiw
rpj;jp
rpj;jpapd;ik
ξ = 240
ii.
rhjhuz ju
rpj;jp
cau;ju
tpQ;Qhdj;Jiw
f.ngh.j.(rh/j) guPl;irf;Fj; Njhw;wpNahu;
240 Ngu; vdpd;> mUfpYs;s ntd;tupg;glj;
ij G+uzg;gLj;Jf.
iii. cau;ju tpQ;Qhdg; gpupTf;F njupthd
khztu; vj;jid Ngu;
iv. rhjhuz juk; rpj;jpaile;NjhUf;F njhopEl;g ghlq;fSf;F tpz;zg;gpg;gjw;fhd tpz;zg;gg;
gbtk; toq;fg;gl;lJ. vdpd; tpz;zg;gg; gbtj;ij ngw;Nwhu; vj;jid Ngu; ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
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tpz;zg;gpj;jtu;fSs; 3/8 gq;fpdUf;F njhopEl;g ghlneupf;F mDkjp fpilj;jJ. vdpd;
njhopEl;g newpf;F njupthNdhu; vj;jid Ngu; ?
v.
05.a
ghlrhiy ,y;y tpisahl;Lg; Nghl;bapy; A,B,C,D vDk; ehd;F
,y;yq;fs; ngw;w Gs;spfs; gw;wpa tpguj;ij gpd;tUk; tl;l tiuG
fhl;LfpwJ.
i. D vDk; ,y;yk; ngw;w Gs;spf;Fupa Miur;rpiw Nfhzk; ahJ ?
B
A
750
600
C
D
ii.
A vDk; ,y;yk; ngw;w Gs;spfspd; vz;zpf;if 204 vdpd; ntw;wp ngw;w ,y;yk; ngw;w Gs;sp
fspd; vz;zpf;if ahJ ?
iii. ,y;yk; B ,Yk; ghu;f;f ,y;yk; C $Ljyhfg; ngw;w Gs;spfspd; vz;zpf;if fhz;f.
Gs;spfs;
tFg;ghapil
khztu;fspd;
vz;zpf;if
b.
i.
ii.
0 – 10
10 – 20
20 – 30
30 – 50
50 – 80
5
7
10
16
12
xU tFg;gps; cs;s khz
tu;fs; Mq;fpy ghlj;jpy;
ngw;Wf; nfhz;l Gs;spf
s; gw;wpa tpguk; mUNf
jug;gl;Ls;sJ.
tiyAU tiuaj;ij tiuf.
tiyAU tiuaj;jpy; kPbwd; gy;Nfhzpia tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
01.
kdpjd; xUtd; gpuahzk; xd;wpd;
1
gFjpia g]; tz;bapYk; vQ;rpa gFjpapd;
3
48
3
3
gq;if
4
Gifapujj;jpYk; gpuahzk; nra;jhu;.
i. g]; tz;bapy; nrd;w gpd;du; gpuahzj;jpd; vQ;rpa gFjp vd;d gpd;dk; ?
ii.
Gifapujj;jpy; nrd;wJ KOj;J}uj;jpd; vd;d gpd;dk; ?
iii. g]; tz;bapYk; Gifapujj;jpYk; nrd;wJ KOj; J}uj;jpd; vd;d gpd;dk; ?
iv. gpuahzj;jpd; vQ;rpAs;s J}uk; 18 km vdpd;> KOj; J}uk; vj;jid km vdf; fhz;f.
v.
02.
3
kzpj;jpahyk; MFk;.mtu; Gifapujj;jpy; gazk; nra;j
4
efuq;fSf;fpilapyhd ve;jnthU epiyaj;jpYk; Gifapujk; epWj;jg;gltpy;iyahapd; Gifapuj
j;jpd; ruhrupf;fjpiaf; fhz;f.
mtd; Gifapujj;jpy; gazpj;j Neuk;
10.5 cm
x
14 cm
x
10.5 cm
Milnahd;iwj; ijg;gjw;fhd mr;R glj;
jpy; fhl;lg;gl;Ls;sJ. 14 cm tpl;lKila
miu tl;ltbt fOj;Jg; gFjpiaAk;
10.5 cm MiuAila ifg;gFjpiaAk;
nfhz;lJ.
i. x vd;Dk; gFjpapd; ePsk; fhz;f.
40 cm
ii.
fOj;Jg; gFjp tpy;ypd; ePsj;ijf;
fhz;f.
40 cm
iii. ,uz;L ifg;gFjp tpy;ypd; ePsk; ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
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iv. mr;rpd; nkhj;jr; Rw;wsitf; fhz;f.
gad;gLj;jg;gl;l Jzpapd; gug;gsitf; fhz;f.
v.
03.a. kjpy; xd;iwf; fl;b Kbg;gjw;F 6 Ntiyahl;fSf;F 12 ehl;fs; Njit.
i. kjpiyf; fl;b Kbg;gjw;F Njitahd kdpj ehl;fs; vj;jid ?
ii.
Kjy; 4 ehl;fs; Ntiy nra;j gpd;du; NkYk; 6 Ntiyahl;fs; Nru;j;Jf; nfhs;sg;gl;ldu;.
m.
4 ehl;fspy; Kbj;j Ntiyapd; msT ahJ ?
M.
NkYk; 6 Ntiyahl;fs; Nru;f;fg;gl;ljdhy; vQ;rpa Ntiyia Kbf;f vj;jid ehl;fs;
Njit ?
b. &gh 24 000 ngWkjpahd ijay; ,ae;jpuk; xd;iw ijf;Fk; NghJ 8% ntl; (VAT) tup nrYj;j
Ntz;Lk;.
i. nrYj;jg;gLk; ntl; tupiaf; fhz;f.
ii.
tupAld; Nru;j;J ijay; ,ae;jpuj;jpd; tpiyiaf; fhz;f.
04.a. A, B vd;gd jk;Ks; Gw ePf;Fk; ,U epfo;r;rpfshFk;. vdpd>
i. P ( A ) , P ( B ) , P (AUB ) vd;gtw;Wf;fpilapyhd njhlu;ig vOjf.
ii.
P ( A ) = 2/3 , P ( B ) = 1/4 vdpd; P ( AUB ) If; fhz;f.
ignahd;wpd; xNu tbtpyhd 3 fWg;G Ngdhf;fSk;
2 rptg;G Ngdhf;fSk; cs;sd. igapypUe;J vO
khwhf mLj;jLj;J ,uz;L Ngidfs; vLf;fg;gLfp
wJ.
i. ngwf;$ba NgWfis nea;aupapy; Fwpj;Jf;
fhl;Lf.
ii. ,uz;L jlitAk; rptg;G Ngid fpilg;gjw;fh
d epfo;jfitf; fhz;f.
iii. ,uz;L KiwAk; vLj;j Ngidfspd; epfo;jf
itf; fhl;Ltjw;fhd fPNo tiuag;gl;l kutup
g;glj;jpy; epfo;jfTfis Fwpf;f.
R2
R1
B3
B2
B1
B1
Grade :- 10 , 11
B2
B3
R1
R2
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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3
5
fWg;Gg; Ngdh
.............
fWg;Gg; Ngdh
.............
.............
rptg;Gg; Ngdh
rptg;Gg; Ngdh
fWg;Gg; Ngdh
.............
.............
05.
S
W
C
A
B
ii.
rptg;Gg; Ngdh
ghlrhiy xd;wpd; ,uz;lhe; jtizg; guPl;irapd; fzpjg;ghl Gs;spfsp
d;gb A, B, C, S, W juq;fisg; ngw;wtu;fis tl;l tiugpy; fhl;lg;gl;
Ls;sJ.
i. B juk; ngw;wtu;fspd; vz;zpf;if 36 Ngu; vdpd; guPl;ir vOjpa
nkhj;j khztu;fspd; vz;zpf;if ahJ ?
nkhj;j khztu;fspy; 1/6 gq;fpdu; A juk; ngw;wtu;fs; vdpd; mjd; vz;zpf;if ahJ ?
iii. C juj;ijg; ngw;wtu;fspd; vz;zpf;if 30 Ngu; vdpd; C I Fwpf;Fk; Miur;rpiwf; Nfhzk;
vj;jid ghifahFk; ?
iv. rhjhuz juk;(S) ngw;w khztu;fspd; vz;zpf;ifiaf; fz;L rpj;jpaile;Njhu; vd;d rjtPjk;
vdf; fhz;f.
v.
NkNy fhl;lg;gl;l guPl;irg; Gs;spfs; gpd;tUk; kPbwd; ml;ltizapy; fhl;lg;gl;Ls;sJ. ,j;
juTfisg; gpd;tUk; tiyAU tiugpy; fhl;Lf.
Gs;sp
tFg;ghapil
0 – 30
30 – 40
40 – 50
50 – 60
60 – 70
70 – 100
vz;zpf;if
kPbwd;
33
12
15
22
32
30
32
28
24
20
16
12
8
4
0
Grade :- 10 , 11
Mr. A.S.M. Azmy
10
20
30
40
50
60
70
T.P. No :- 0777034358
80
90 100
Page 144
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MATHS MODEL PAPER
PART – I B
49
3
1
2
,w;F nrg;G epwj;jpYk; kPjpapd;
,w;F nts;sp epw;j;jpYk;
2
3
vQ;rpa gFjpf;F jq;f epwj;jpYk; Kyhkpl cj;Njrpf;fg;gl;Ls;sJ.
i. nts;sp epwj;jpy; KyhkpLk; gFjp KOj;jfl;bd; vd;d gpd;dkhFk; ?
jfnlhd;wpd; nkhj;j Nkw;gug;gpy;
01.
ii.
jq;f epw KyhkpLk; gFjp KOj;jfl;bd; vd;d gpd;dk; ?
nrg;G >nts;sp > jq;f Mfpa epwq;fspy; 1 cm2 Kyhkpl KiwNa &gh 10 , &gh 25, &gh 100 tPjk;
nrythfpwJ.
iii. nts;sp epwj;jpy; Kyhkpl Vw;gLk; nryT &gh400 vdpd; jfl;bd; nkhj;jg;gug;gsitf; fhz;f
iv. Nkw;$wpa Kiwapy; KOj;jfl;bw;Fk; KyhkpLtjw;F Vw;gLk; nkhj;jr; nryitf; fhz;f.
02.
J}uk; km
Etd; Nehahspnahd;iwg; ghu;g;gjw;fhf tPl;b
ypUe;J itj;jparhiyf;F Nkhl;lhu; tz;bapy;
gazk; nra;j tpjk; mUNf J}u Neu tiugpy;
fhl;lg;gl;Ls;sJ.
i. Etdpd; tPl;bypUe;J itj;jparhiyf;fh
d J}uj;ijf; fhz;f.
80
70
60
50
40
30
ii.
20
Nkhl;lhu; thfdj;jpd; fjp kzpj;jpahyj;
jpw;F vj;jid fpNyhkPw;wuhFk; ?
10
80 90 100 Neuk;
iii. Etd; itj;jpa rhiyapy; nrytopj;j fhyk; ahJ ?
0
10
20 30
40 50
60 70
iv. mtd; itj;jparhiyf;Fr; nrd;w mNj ghijapy; 90 kmh- 1 vDk; khwhf;fjpapy; jpUk;gp tPl;il
mile;jhnddpd; mjid mNj J}u Neu tiugpy; tiuf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 145
v.
03.
www.lkedu.lk
itj;jparhiyapy; nrtpl;l Neuj;ijg; Gwf;fzpj;J Nkhl;lhu; thfdj;jpd; ruhrupf; fjpiaf;
fhz;f.
epWtdnkhd;wpy; gq;nfhd;wpd; re;ijg;ngWkjp &gh 125 MFk;.
i. uQ;rpj; me;epWtdj;jpypUe;J 600 gq;Ffisf; nfhs;tdT nra;jhu;. mg;gq;Ffisf; nfhs;t
dT nra;tjw;F Kjypl;l njhif ahJ ?
ii.
tUl ,Wjpapy; gq;fpyhgkhf &gh 9 000 fpilj;jnjdpd; epWtdk; gq;nfhd;wpw;F toq;Fk;
tUlhe;j gq;fpyhgj;ijf; fhz;f.
iii. ,e;epWtdj;jpy; mNj tpiyf;F gq;Ffisf; nfhs;tdT nra;j xUtUf;F &gh 24 000 tU
lhe;j gq;fpyhgkhff; fpilf;Fnkdpd; mtu; epWtdj;jpy; Kjypl;l njhifiaf; fhz;f.
iv. tUl ,Wjpapy; uQ;rpj; jdJ 600 gq;FfisAk; tpw;whu;. mtu; gq;fpyhgkhfg; ngw;w njhifap
dJk; %yjd ,yhgj;jpd; $l;Lj;njhifAk; mtuJ KjyPl;bd; 28% MFk;. mtu; xU gq;if
tpw;w tpiyiaf; fhz;f.
04.
ngl;bnahd;wpy; xNu tifahd 3 rptg;Gg; NgidfSk; 2
ePyg; NgidfSk; cs;sd. mky; ngl;bapypUe;J vOkhwhf
xU Ngidia vLj;jhd;. mjid kPz;Lk; ngl;bapy; ,lhky;
,d;ndhU Ngidia vLj;jhd;.
i. mky; ,U re;ju;g;gq;fspYk; ngl;bapypUe;J Ngidfs;
vLf;Fk; Kiwiaf; fhl;Lk; khjpupntspia jug;gl;Ls;s
nea;aupapy; Fwpj;Jf; fhl;Lf.
ii. mky; vLj;j ,U NgidfSk; tpj;jpahrkhd epwq;fis
f; nfhz;bUg;gjw;fhd epfo;r;rp A vdpd; A ,w;fhd
%yfq;fis nea;aupapy; milj;Jf; fhl;b P ( A ) If; fhz;f.
mky; NkNy $wpathW ngl;bapypUe;J Kjypy; vLj;j Ngid rptg;Gg; Ngidahf ,Ue;jhy; kl;Lk;
mjid kPz;Lk; ngl;bapDs; ,lhky; ngl;bapypUe;J ,d;ndhU Ngid vLg;ghu; vdpd;>
iii. ,r;re;ju;g;gj;jpw;fhd khjpupntspia kutupg;glnkhd;wpy; fhl;Lf.
iv. mkYf;F xU ePyg; Ngid fpilg;gjw;fhd epfo;jfit kutupg;glj;jpypUe;J fhz;f.
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05.
tUif je;j Neuj;jpypUe;J
ghlrhiy
Muk;gkhtjw;Fs;s Neuk;
(epkplk;)
0–5
5 – 10
10 – 15
15 – 20
20 – 25
Mrpupau;fspd;
vz;zpf;if
jpus;
kPbwd;
3
5
7
............
............
...........
..........
...........
...........
..........
ghlrhiynahd;wpy; xU Fwpj;j jpdj;jp
y; Mrpupau;fspd; ehshe;j tUif njhl
u;ghd juTfslq;fpa G+uzkw;w $l;lkh
f;fg;gl;l juTj; njhFjpAk; G+uzkw;w
tiyAU tiuaKk; fPNo jug;gl;Ls;sJ
,q;F 0 – 5 vd;gJ 0 ,Yk; $ba 5
,Yk; Fiwa 5 ,w;F rkdhd vdg;
nghUs;gLk;. ,t;thNw Vida tFg;gh
apilfisAk; nfhs;f.
Mrpupau;fspd;
vz;zpf;if
md;iwa jpdk; ghlrhiy Muk;gkhtjw;F Kd;
du; tUif je;j Mrpupau;fs; 32 Ngu; vdpd;
tiyAU tiuaj;jpd; juTfisAk; gad;gLj;jp
kPbwd; epuiy epug;Gf.
ii. mjpypUe;J tiyAU tiuaj;ijg; G+uzg;gLj;
Jf.
iii. jpus; kPbwd; epuiyg; G+u;j;jp nra;f.
iv. fPNo jug;gl;Ls;s mr;Rj; njhFjpapy; jpus;
kPbwd; tisapia tiuf.
i.
12
10
8
6
4
2
5
0
10
20
15
25 fhyk; (epkplk;)
jpus; kPbwd;
v.
32
28
,j;jpdj;jpy; Mrpupau;fs; ghlrhiy Muk;g
khtjw;F Kd;du; te;j ,ilaf; fhyj;ij
fhz;f.
24
20
16
12
8
4
5
Grade :- 10 , 11
10
15
20
25
fhyk; (epkplk;)
Mr. A.S.M. Azmy
T.P. No :- 0777034358
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MATHS MODEL PAPER
PART – I B
xU ghj;jpuj;jpy; Kw;whf ePu; epuk;gpAs;sJ. mtw;wpd;
01.
50
3
1
2
gq;F Kjyhk; ehSk;
gq;F ,uz;lhk;
4
5
ehSk; gad;gLj;jg;gl;lJ.
i. Kjy; ,uz;L ehl;fspYk; gad;gLj;jpa ePupd; msT ahJ ?
ii.
4
gq;F ePu; %d;whk; ehs; gad;gLj;jg;gl;Ltpl;lJ vdpd; %d;whk; ehs; gad;gLj;jpa
7
ePu; KOj; jhq;fpapd; vd;d gpdd
; k; ?
kPjpapd;
iii. kpFjp ePupy; 10 L ntspNaw;wpa gpd;
1
gq;F ePu; kPjkhf ,Ue;jJ vdpd; 10 L ,dhy; Fwpg;gplg;
10
gLk; gpd;dk; ahJ ?
iv. ,j;jhq;fpapd; nkhj;j nfhs;sstpid L ,y; fhz;f.
02.
Q
7 cm
D
60
0
7 cm E
P
C
1200
F
Milia ntl;Ltjw;fhfg; gad;gLj;Jk; fljhrp mr;R (Block )
mUfpy; fhl;lg;gl;Ls;sJ. mJ ruptfg;gFjpia nfhz;l jpz;
k gFjpahtNjhL 7 cm MiuAk; 1200 , 600 Nfhzq;fisf;
nfhz;l ,uz;L tl;lgFjpfs; ntl;b mfw;wg;gl;Lk; jahupf;fg;
gLfpwJ.
i. ntl;b mfw;wg;gl;l gFjpfs; ,uz;bdJk; gug;gsitf;
fhz;f.
40 cm
36 cm
ii.
A
30 cm
mr;rpdJ gug;gsitf; fhz;f.
B
iii. AB ahdJ jhq;Fk; mbahfTk; NtW epwj;jpy; 90 cm2
gug;gsTKila nrq;Nfhz Kf;Nfhz tbtj;Jzpj;Jz;L
cilf;F njhlu;GgLj;jg;gLk;. me;j Kf;Nfhz tbt
Jzpj;Jz;L mikAk; mikg;gidf; fPwp cupa msTfis
vOjpf;fhl;Lf.
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 148
03.
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epjd; fk;gdp A ,y; itj;jpUe;j 10 gq;Ffis &gh 200 tPjk; tpw;gjhy; &gh 5 000 %yjd
,yhgk; ngWfpwhu;.
i. gq;Ffis tpw;gjhy; ngw;w gzk; gzk; vt;tsT ?
ii.
epWtdk; A ,y; mtuJ KjyPL ahJ ?
iii. epWtdk; A ,y; cs;s gq;Ffis thq;fpa tpiy ahJ ?
iv. gq;Ffis tpw;gjhy;ngw;w gzj;jpid 4% khjtl;b toq;Fk; epWtdj;jpy;KjypLk; xUtUf;F
4 khj Kbtpy; fpilf;Fk; nkhj;jg; gzk; vt;tsT ?
04.a. 2 k; KbT
xU ngl;bapy; 2 ePyk; 2 kQ;rs; epw xNu khjpupahd khgps;fs;
cs;sd. mtw;wpypUe;J xU khgps; vOkhw;whf vLf;fg;gl;L
epwk; Fwpf;fg;gl;L mg;igapDs; ,lg;glhky; ,d;ndhU khgps;
vLf;fg;gLfpwJ.
i. khjpup ntspapid nea;aupapy; Fwpf;f.
Y2
Y1
B2
,U KiwAk; ntt;NtW epwk; fpilg;gjw;fhd epfo;r;rpapid
nea;aupapy; Fwpf;f. mjd; epfo;jftpid fhz;f.
ii.
B1
B1
B2
Y1
Y2 1 k; KbT
b. vLf;fg;gl;l khgps;fs; mg; ngl;bapy; ,lg;gl;L mtw;wpw;F 1 njhlf;fk; 4 tiu vz;zplg;gl;L
xd;wpd; gpd; xd;whf gpujp itg;gpd;wp ,U khgps;fs; vLf;fg;gLfpwJ. vLf;fg;gl;l vz; Kf;Nfhz
vz;zh> ,y;iyah vd Fwpf;fg;gLfpd;wJ.
2k; KbT
1k; KbT
2
4
............
.
T
............
.
............
.
............
Tl .
............
.
T
Tl
T
Tl
i. kutupg; glj;ij G+uzg;gLj;Jf.
ii. ,U KiwAk; vLf;fg;gl;ljpy; xU Kiw kl;Lk; Kf;Nfhz vz; fpilg;gjw;fhd epfo;jfT
ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 149
05.
www.lkedu.lk
fPo;tUk; ml;ltizahdJ 60 khztu;fs; xU guPl;irapy; ngw;w Gs;spfis fhl;LfpwJ
Gs;spfs;
tFg;ghapil
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
50 – 60
kPbwd;
f
4
10
14
jpus;
kPbwd;
4
10
34
52
8
B
i.
Nkw;Fwpg;gpl;l ml;ltizapy; ,ilntsp epug;Gf.
ii.
ml;ltizf;F Vw;g nghUj;jkhd mstpilia ngw;W jpus; kPbwd; tisapid tiuf.
iii. khztu;fspd; Gs;spfspd; ,ilaj;jpid tisapapypUe;J ngWf.
iv. 40% khztu;fs; rpj;jpngw jtwpdu; vdpd; mg;guPl;irapd; rpj;jpg;Gs;sp ahJ ?
Grade :- 10 , 11
Mr. A.S.M. Azmy
T.P. No :- 0777034358
Page 150