:.1-. 1:.:, rt'; ;; lr; $';A ''u,- i' l:rt I liji 1,r,. i.)ii,:ii,,,r-i ir,,ill.:t ;rl,l'islr l(t llllilf!

qlq n'Ji 2 i*l trinchiilirl{ J{t (llicstions ill}d

(rrFlfr)

(211)

2 figlit'es

t-.I

I

{-ode I'{o. 48/OSil*18sfts t.ii,ili irt:.

r1;1e;,Qi.li.:

[]:lr' ;t:ld t]:tti: ill' t'rittitllt:iii<ttt

{qilrrr-+t ha ;: ffi+)

!i,;.ri;t I tl t-{' (r I i rr ligilr:lttt't

iifh.tr.n 4 p.,14;Pr.i

l"

2"

tiililr't'il1 lttstruttiotts :

i r. ill|] i|'i'.l1lj llliiii rtl-ite his',iret. Rcrll Nrrirrtrer oI1 the flr.st page of the Question Paper

I l,jr::,s.- .ir: i. !.r ri-rr: {Jtigstiorr Paper tg l'erifV that the totai pages and total trttmber of qttestions

.,Jiri., irr,-..i :,, liri: i)rrcslii,r;i paper,,r* rlt* u3,tle aS those printecl On the ttlp o1'the tirSt piige

Airtrcit'-'tni'-i\'itlhliLlri:titlestlr-)tlStlrtrirrsetluential.)rder'J f-,.''r rirr:,-rltrc-.r',i .c i''ilr '.'f qLtestictls- \'otl have to choose anv otle of the filttr alternatil'es

i:iir:, ii.r fltc c1Lt,.:stiirir ic: (,\). (B;. iilt tt; (D) and indicate voul'coffect artsrvct.in ilrc:

ilr'!:r!i':ilr-lr,iili gi"':lt tr) \()tt re to be answ'ered r't'ithitr the allrlttcii.t \ii liitr r-litiiiiitrt. ir,ciuctittg obiective-typ:.!utttlol)s are

'o, l:^:ll:*-:,::"^'tl'i,r arr,i ,r., r,.,r0':.," tir'i lirliit is fixed tbl"answering obiective type-questlons'

{, \i.ri..irr.rr arr..: iilrriiificaiit'n titark in tite ansr'l'et-book or wl'iting ro11 number anv$'ltgre c'thet'

tir;"ri i11i. :[]c;litfci i;laccs il,'ill iead to r:lisclualificatign of the candidate'

6 \Vriii: .,.,ii; {..}Llr.ritr.ti }ralrc. criclc l'.ic-r. 4tt/()S/l-A on the ans*'er-book'

.l iil) f-i1fr ililg5j!11r ir,;Iilif ir in i',trglishit{indi ntedilun orrlv tl0'*ever. if Vott r'i'ish' votl cerl

;lits\lt' i,, o,,t {-}11c (}i'the latguages listecl belor'r' '

f r,r,:lirh. []iiirri [,rcir. prrniiirrl"nengati. Tamil, JVIalavalain, Kannada,'Teltrgu. \larat]ri'

{)i rva. (-rirl;:;,rir Konliirli' lr"lzirripluri Assarnese' lrep-'ali' Kashrniri' Sanskrrt and Sindhi

-\!,'ri itre lf.,.llliri,ii iit irrljicate the lartgrrage YOu have chOSetl to ans\\'er irt the box

the language iltlter lhan Hindi anci }-nirlisir" tlle

in undeistatidiug the questiotr n'ill be vours L')lll\r

jll { !\'iilcil ti, iiri: ;ilr:lrt't:l"i'lOui':

i;:; It'ii,r.l f iii''r;sr: lii i','iitt: lite ni:sltr'er in

i irltiil i litri i i r"' l't l I' ittll' ci'ro r's/'llti btakes

-ts,'(-ls,il-- .? I l_ ,\ l' l rllllllllllllillliilllllilll liilllll llllllllillillllllll llll llll I co.tir "'

;Jl"il;l .ri{.qrl

i ,.lltcri"-.11 rltq;t m qan 966 qT.3{qql 3EECt-ff irlqtq frd I

: ?i,...)r :rlit(rir *;1 iTti O ifi itt'-rq fr grg gwt OW qAfr 4t A-d-fi fr Ti1ql t ffi qTq Yu6

J, i;l:r,.1 :,,ii .-iicfl ? I iii qrd dT r["q fr qt{ f' f,* qlq tFfr-*" 6q q t I

,! ;.i,-.rj-:rr-<. ,i{-ii 4 ,ii{.crit ..rir i{eiil{t (,'\), (B), (C) f,en (D) q t.hti \rfi gdt wqT t HQn a Timer; '':l'/ 'i',':;:t''lt,, tl -t:-r (.iil :i{f. ,ftfb{

' a*O

i ::,:-,t.,tr--. ;:',t * qr:,{ ill.i tjr{ ct;rr 6 $frT fqqifud 3rqfU * fr-dT fr e{ ?j 1qq.ftTa qgfr

:ii 1i.,. . -;,,r1 :i .j $q;-i -t:,i ie,ll :in{lt , NOte

. :: ,.4 f, i ,F.'-,", ';;'r. iiFi ,x:-.Tr frffq eirfl.T 6 -r{frfufr ?6-61 fl 3-J-mqm frroi qr

,.r;l+i iil! lF,.'J ';.)1 tju ,',7:,'11 m,qrn I r

(r ,r1,-r:r ':(.) ,i1i.l*r -tr 1!;{!51 Eii 6ls Tfipf "l8iOS/l-A ft{G' I

- r''rt ,.r,,:'i:i ,1trir t€{t rrrnt C ? iitF{ ,fr, qR sTrc qrt FT tifs *.ri ftrfr \rqq q-,ql F -:-==

i !1.hr1 fr

r '- ^,-J +--.-.' -.+--- '--.--+:iii f ;Tl li ;rr[l?11 E']ic'rl aTq-(.T, qF[qfCffi, $-Ie. il95, TT{l-61. :=qT. ,#:ii',i.ril ;ilr1tr{ rt+ijrltr '1'{f4}. c5t'frfi, qqtd gi-{ frsft |

1,.,r,-ii i,r1{' 1ii*r.$i q iari iiq qr,rfl q fftd' ft; enq ftng rnqf i rtr frg T? E

frfqrl,l) ,.J'i :,iii1 ie?l (la .$Tnl q; .:fhfl*i iZrtii cfq tffan fr cil-{ ftilg-d ? et qtC tn;-=-'

ir ii;,i :;r.'it '1t;:';r '

:rtTii{.jY dT lcffi hco enq-+1 ghfi |

-ili;{}Sr'1 ;ll .\l 2 llllllllllllllllllllllllllllllltlllllllllllilllllllllllllillllil r co'td... d8/(

MATHEIVIAT'ICS

(.rFK)

(211)

Time :

{{ii :

Note :

3 F{oursl

3 qutl

[Maximurn Nlarlts t0i]

t1:1f* too

(1) Question Numbers (l-14) are i\{ultiple choice Questions Each clttt:sllr}n calilts

onemark.Foreachquestion,fouralternativechoicesA.R.CDarcsl\,Jll

of w,hich only one is correct. You have to select the correct altt'rtilttire itirtl

irldicateitintheanswer-bookbywriting(A).(B),(()tir{[J)ltstllr.'titScnrar be

(2) Question Numbers (1's-24) carry

(3) Question Numbers (25-33) carry

(4) Question Numbers (34-36) carry

(5) Ail questions are compulsory'

2 marks each

5 marks each

7 marks each

fctn : (1) srq q.sr (1-14)

t q-d-6 sQq g.F

R rt *, fi-{q

a-o qgffi qtq

si6q.rt lrr&6

t Atq-d qn {& t

(Multiple Clroice Qttestir''tt:t ? i :;11l

qtq * qtt +o.fiq-fi ts-i{ ,\- ii ( ll}

l c{rqq'r q-& fq-{-dq g-fiT ? -:Tlr t '' r

(2) qtq (15-24) fr

(3) qlq {iTqr (2s-33) q

(4) qaq {@r (34-36)

(s) q,fi qtq 3'fir*r{ t

o*ro511;--211_A I

+tl

t{@fl

7a

7a

=a

(B), (c) 3{PrsT (D) d fi sfl d, o& s+r gkffir q filrqqt u'n I

tr&*, 2 eiznl qi

T&6 5 siol 0t

q q n-&* Z ,iiol tnr

I

3 llllllllllllllllllllllllllllllllllllllllllllllllilllllllllllillll I co'td"'

I fhe surn of ralional nunrbers + ancl f is :

.rfi.i?T riw13i .l u* : 6T qlTnd t :

lq(A) -T G) _11, \-/ 7

Itl{(i } (D) }

JJ;-t/j I - , I' l.s crlual tcr

tiaa

8- )< 2" q{r*qT t :

(A) 8

(c) 2

(B) 16

(D) 4

3 t20 is what percent of 2,10 ?

Itza. 240 * ftFifi q{,frrid * qrrq_r ?; ?

rA) I'2 (B)z(c) 50 (D) 2ao

- -ll,lt;:::,til",

.r i articles is eilual to the sering price of- 2 artrcres r, . r g

qfa : q*sri EFT mrr{ru 2 qqc* s fr-mq Tq 6 e-.{r d, dt FrT shs.., :--.(A) 2a (B) 30

!(c) 33 -._)

J8i0s/t_2ll--A I

(D) .50

4

(

j

E

(.

(t

li,liiillllllllllillllllilljillillli l illll ll Ill { (,,,,,ti... rs,os

qf* ,Q6rfi q.r+i"T BTq a qt qn-*luT qrrqt at, di r,{q' R' ,r*€ dt qq afr

(B) 50o

(D) 7sa

76 ll' ccs .-l = ;, then the value of sin,4 is :

qR cos I = j, ui, ET sin I ?6r qTE *rlr :

18(B) zs

1 a4jz+(C) ; (D) ;'J l)

- l-he suln of trvo numbers is I ei and their di{ference is 6. The differcnce of their I

squares is

-{T {Elr.iT zFT iTr{r 16 dqt r-{fif -fmr 6 tt Bq* ofr tnr 'rqr ol-rn :

( A") t60 (B) t20

ic) q6 (D) 60

I I Angles of a quadriiateral are in the ratio I :2 :3 : 4. The smallest anqle I

of the quadrilateral has mea*qure :

5 If' t\vo lcute angles of a right triangle are equal, then the nleasure iti'' each cf I

tliese anqies is :

(A) 45c

(c) 600

qlqf.:

(z\) 45o

((.) i00

18/0Si r--2r1_A1

Jt-\l

a

(B) 360

(D) 180

s lilillllililllllllllllilllilllllllillliliilllllllilllllilllilili I cortttr...

9 If. the distance of a point r) outside a circle from the centre of the circle is I r 2 |

lTcmanclthelerrgthofatangent(segment)fronrPtotlrecircleis15ctlt.then the diameter of the circle is 'r

(A) 4cm (B) 8cm

(Cl) 12 cm (D) 16 cm

(B) 8 tlil

(D) i6 (fi

qk ftFS gt ft errr ft{rn q6 ft€ P dr Tn 6 o_q t $ 17 ftfi' a ='r

/' s Td * sri tsrcds m cqd ts tfi a' Tf, ol qrs et.rt :

(A) 1tfr

(c; 12 tfr

4Slosli--211_A I

r0 A reuular pentagon is inscribed in a circle The measure of angle' .''''t t't it' 1

silbtended at the centre by each side of the pentagon is '

rien €{ rrqT.n ffi ga * €i-<.I-d eql t I 'iqTq *1 q-&fi 5qr ai-fl i7 -. -i{

lq 6T"r et erq *fr :

i,\r sOc (B) 65'

(t ; 12n (D) I08o 13

I I If one anste o{' a triangle is 120o, then tlie angle (< 180o) bet.'l' eerl the bisectors I

cl' lhe tltlrer tu'o an-9les ts :

qi{ftn?iiBTe6rq-dF6|ul1200E},frfiUqb:rqdairTrta:=:irr+iaa1-q qq +;t"l ( 18oo t 6-q) 41 qrq *fr :

' r\r ?^o (B) l08o\ rl

ici tsoo (D) 1540

6 lllllllllllllllllllilllllllllllllllllltllllllllllllllllllllllllll t co'td"' 48tt

12 In the

qd*

figure, given here, AB - AC. The measure r-:f z*. B,,i(t is

qfi 'rilFftr €.qn : lc t r z. BAC +t erq el'ft

(B) 360

(D) 72o

(A) 24o

(c) s4o

13 Angles subtended in the same

(A) equal

(C) cornplementan'

ffi ga * \-r ei ga Eis q

(A) sqn

(c) Tt-*,

segment of a circle are air*.i'v5

(B) uneqr.ral

(D) supplernerrrary

qi iq e"t-q €}fr t :

(B) 3rcqFr

(D) {iq{m

_Altd... 48/OS/r-2lrillllillllllilliiliilllllililliijjllililiiillilirll illiliiliillr I r *,r!rl

l4 -fhe bargraph, given belorn-, sho."vs the nuniber cf' -*tridr:;i13 ir r,iri51

Farticular school durinq lears 2004-05 to :007-ar8

'iTn ,tqi rrql rsrdar q'.i zoc+-os t :oo;-ais q iSEi +-.*,r''' i;-;i;i.;

'{ f{fifiid' fr nisr .n nqRie ml'ni t i

i\ ,'1 .r

7.',,' I \

300250200150r00

-{0

2i)i)+-0,5 20()-5-()6 2(X)6-07 20til-{rSYears ag

in rvhich vear was the nurnl,.er of str-rCents in iiie rrlass-lX 250

f.6R' q{ cFHT-lX n ffifq'i dt E-cfll tirt i ?

(A) 2004-05 (B; lr.,r5-0tr

((l) 2A06-07 (l) r lt-,07-08

f;11 ' :{€1

i)

Dl*

*il

J;-

e- 2..

t-

(For \iisualll

(*-q-a eFz

'l'he cunrulative fiequency oi' the

here. is

qEi * .tfr qllflldl er{.it q q.f

irnpaired leltnrtrrs orrlr )

frTTi1 Fdnf,j'ii T T?r'i

. i.i.. i i- 1.-i irr tlt-' l': t .,

- -:, -:--aeli_ \ ?r rj-._]tl 11t-);,- :

IS

I .)

(ll.l 1t;

(D.) 23

(AJ ]

(c) 20

48/0Si l-211_A I lillllilillliliiiiiililiiililiiiii;lii:lrliililiilliiiiiiili;ili | { r'u';ttr"'

lS l]rrui tire alt:ourlt of nrotlc,v to be ,...i''ta at the cnd of three 1'eals tbr 2

{ lLr.tl(i{j at lf,,l..n per sllnllnl conlp.outtd interest' compoutlded a'nntraiiv

qfdo; {:--1:i i Fefr':-i". 1{^i').'.-r+j?t E-q;qfu qiq qft il t { 10'000 qf j sri i

iJi;{ e" iitqn q;n: ';- zFT flA *frtql

Ir, i .:.ii.:rc ard a ri-uht circrrlar c.vlilde1. cf the same raclir-rs of base as tadius 7

,ri sphcre. have equal volumes. Find the ratio of the cliarneter of the cvlinder

tti its height

!:a, ,fui {Lrr q-6 arq-{*q t-tr{, fuT* ,3{r?IrT 4I ed-qlq .rfr * eraqrg *

siTq{ t r iflc ft 'anq q'r sq-ft1 '.6sT{ t 0j-gqld grc dfrq t

I

i - Irind the area ol a rh.:rtrbr:s. the lengths of rvhose diagonals are l5 cm atlci 2

lil c111.

:- -1rdaIti.d -fl qiT-+-T -. iif:q l-rl{ltm ti.q,.''fr a1 qqiiqr 16 iifr ilqT lt' ffiz I

ts Sirtlr " r: il;ic-erith ternrs .ri ...:r A.P. are 120 arrcl 30 respectivelv. Find the A'J z

;,rfr r P T tt?-A as|r # qT mrltl: 120 deiT 30 tl A'P Sra dtfuqt

l9 lrind the sunt .

,jpiqn flfrT frfuq :

llli--*-- -f ----+ -----f -- |.'-!' J;.u lri-' l-.Y-

,titi0Sr'l --'2 I I -'.t I

e lllliillilllllllllilillillllllllllllilillllllllllllliillililillll tf-.o*tcr"'

20 r\ngles of a triangle are in the ratio 2 z 3 : 7. Find the measure of the 2 I

smallest angle of the triangle.

tFS frgq t atq 2 z 3 z z * ergqrn t trffi * q-{fr El2 6r"T 5i qrr f,r6

dfrqt

1rli2l Find the value of x-- if x'*-7=3.xt

I ^n A r I ^ -:.r-- 4T qt;t sro dfrq qR xr+l=3 T-r .r-

22 If the sum of three consecutive odd in:e3e:s .s -3. find the integers | 2

qft frq iTrr6r11 3tT{ qTfr frqq i-? =: T:l -3 d, d Wf* f,rfl ?- '-

23 The coordinates of the mid point of line-segment are (2, 3)' If the c- --: -:':: 2

of one of the end points oi the line-segment are (6, 5), find the cc: '- - : : ''

the other end Point

frffi |g1gjs t qeq. ft1 e ii{iris (2, 3) t r qft tGTGis * q* ::: -zz

* frtlri* (6, -s) di, a Ki 3r-d kg b fr{qlin s16 *tfuq t

24 Write the frequencv-table for the following cumulative frequencr ::: " 2

Classes 'l-- l0 20-40 ,+0 - 60

Curnulatir e tiequencies I 7 l0

TTn A 'rfi e-.r=ir ei-tercar ilfr-fl * frq qr-tqrror dlfrql frfoq

,,f .q.l l0-20 20-40 40-60

dqfrffi 7 10

48/OS/r-211-A It0 llllil!il13llllllilllll:iill[ ]H'[mH ' c: ntd"'

.|-=_::-

)' 25 Solve the follorii:; s'.':e: l: eQuations

TflqlTrlrq-d €f-r - +== rf E.f, drl.qq :

1:

2

-^)z-+-=-)xy

, 26 The sides (in cm) of a right triangle are x- l, x and r+1 (.rtt)'.

Find the sides of the triangle.I

=-=T €qetur ta1p qft lfqTq (nfr il ,r- 1, x derr x+t (.rrr) tr fuu oi Tnq

5,= ;tq r

27 Find rhe -::.r of the folloriins data usins assumed mean method

\1a:.: , 0-10 r 10-20 20-30 3040 40-50 50-60

Number oi S.-::::s 12 I8 27 20 1'7lt o

*i fri qq -q? 5 {'czt znfu-ir qrq frPd aRT FkT dfqq :

316 . _' I 10-20 20-30 3040 40-50 50-60

i{'qrRi?fr *1 drqr .: i 18 27 20 17 6

48/os/r.i2t1-Al ' 11 lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllltilli tco,rt,r

frncl the ni:rribers

E] iirglotT ql qT'T l-t ? r -':. 56 q-trrT' .Fl r-'nT _ e ;r = ..-J|

-"_- ^=f,-A._ .::lltl ciril,rl..i I

29,{contputerisaraiiab1eicr.{]].i-;r]0cashort:0.c00caSh:.--'..':

together lvith 5 equal ntonthlr instalntenrs. Ii rhe rate cf ilre:..: - -,.--: -

r"tncler the instalnrent plan is ir-,oo pef &nnlinr. calculate the 3r--t-,-. . -' - - -'instalment.

g{ SF{ZT { i4.000 * =r+-q Srrd-{ g1el.{T { 20.000 gt6'q:r=;= --,-- .-} =

-5 gqpq ql,k-* ftr6t' q' Jq-f,-cil ?r r qR ftnrn q1lq* * :Fa.fT - - - _- -

* ETftf-{ ar i09'o d, ,TJ q-.q-6 i*liT +i rrfir gr+ Ciaq r

3t) Provc thal .

l-{r'q 41fu,r Tfi :

tan ,{ cot ..1

= i r sec.-i cosec -{I - cot ,,{ I - tan .-1

3i F-irid the ;;ri..bai.,;r,:', .ri . ;:.-r-le3li ,\ ear 1-165 dal s) containing -i_l S.-- - _ , i

fofrl t-q-fl iii?; rr:j ?=:+, Tf q 5l rf.fqir ET+ zbt s1fr--.r-i =:a1fuq r

Lz iilllililllliililiilllllilllllilillliilllilll ll:ll tlf f c,,ni ld8/0s/l--211_A I

J! At a point orr thc

lvith it is fciurrd ro

lci e l grcuncl.

be such that

the airgle g

1tan B = --.1.)}L

ntade bv tlie lop of a tovu.er

Orr vralking i76 ni towards the

fbot of' lhe icr,. c.

of the to*-':

i-(1l5 I -1- ? '.1.4

0qg i = ,u,, e =112

qo 4rir & ehf frE

fifuq dft o es R-€ t

ERT d-eT * ffirr e-"n

'Sr- +- --

1,, ---- .-,nl'll( c{1' L{lq lq.-{ ql

becontes {t such that tan p = Find the heighr

,'u-cnlul

3iT{

!T T6 qtuT O A ,rTtrT ?; aTh ran g = 1 $-qR qi r_ttd

Construct a q.radrilatenl ,4lJ(lD such ri:at .4lJ : CD : 4 lJ(' =. 5JJ

A!,) : 3 cnr and z ARC =(.0" ccnstruct a triangle equal in area toquadrilateral

cl1.l,

this

q6 R-& q3;f.,a AB('D rt!-,o qt q!;f-,a AB(:t) *t r-l-ql -' uq fust arg : CD: 4 td, BC - _i Tiii,,

AD : -r tfr nefi /. ARc = c ,,' ;T I is qgCq b *dqm h onqr *-{.F-f, ild=',F 6T ru-n eiftig r

OR /.rielin

{For Yisu:tllv impaired learners onlv)

'+Er Efu fq-6di,r ffi*ii a frqi

\vrite the steps oi- co:,srRi;:;,rn ior consrructrng two tangents to a circl..- \\lrhcentre 0 from a point P ourside the circle

o i;ai qrd q6 Ta qr ftaft ere .t-g n t d?] .rr+ qr-fi * erri i.er:nfr '.o* * qi"r fo.fuq r

48/OS/l 2ll A l 13 lilllilllllllliilliililiilllliillilliiilliillllillltilliliilrill r Co'tir.

34 Find two consecutive odd intesers' the sum ot

i qt mqflq fuEq Eq Wt6 FTf, Cfuq ffi

whose squares is 130

+-ff or qhr 130 tl

circumcircle and

hon ntanv times

the incircle of an equilateral

the area of the circumcircle '

qri ft qfr ail-?fd fr q6 €qer3 35u ;rc * qftgfl fren cnff{n fii m :

an frfuq fu qft-{d ol *rxt'n 3r-<-{f, * *;s-f, oi ffi gql t I

35Iftheareasoftwosimilartrianglesareequal.pro\.ethattheyarecongruenl

qitqiqqsqfusdfhd-'q-f,q{|flEI'HTfr€cfqqfuaq-qtTKqEtiil

ln the

triangle

that of

figure, given here' the

AllC are drarvn Find

the incircle.

4S/os/1-211-A I1{ ilt u I I ll lllilIlllllllllllllllllllllllllllllll. [ 9on.,r"'

To score better in NIOS and for good percentage contact 9792111121

48/OS/r-21t_A I 1s ililililillilililililililililililililililIilililtiilililililil r 75000+3 |