maths extended long igcse past paper
TRANSCRIPT
-
7/31/2019 Maths Extended Long IGCSE Past Paper
1/16
Wjev gdfqnahw fdhvevwv db02 }{ehwag }`oav(
EK0= 00T=1:=T70$1[] QFIAV ;=0= SWq{h dra{
,?01?:=
2=:1,
QHERA[VEWU DB F@NK[EGOA EHWA[H@WEDH@I AZ@NEH@WEDHVEhwa{h`wedh`i Oaha{`i Fa{webef`wa db Vafdhg`{u Agqf`wedh
N@WJAN@WEFV =1:=$70
]`}a{ 7 *Azwahgag% Dfwdka{$Hdranka{ ;=0=
; jdq{v 6= nehqwav
F`hgeg`wav `hva{ dh wja Pqavwedh ]`}a{(@ggewedh`i N`wa{e`iv< Aiafw{dhef f`ifqi`wd{ Oadnaw{ef`i ehvw{qnahwv
N`wjan`wef`i w`kiav *d}wedh`i% W{`feho }`}a{ *d}wedh`i%
[A@G WJAVA EHVW[QFWEDHV BE[VW
_{ewa udq{ Fahw{a hqnka{) f`hgeg`wa hqnka{ `hg h`na dh `ii wja d{c udq j`hg eh(
_{ewa eh g`{c kiqa d{ ki`fc }ah(
Udq n`u qva ` }ahfei bd{ `hu ge`o{`nv d{ o{`}jv(
Gd hdw qva vw`}iav) }`}a{ fie}v) jeojieojwa{v) oiqa d{ fd{{afwedh biqeg(
GD HDW _[EWA EH @HU K@[FDGAV(
@hva{ ii pqavwedhv(
Eb d{ceho ev haagag bd{ `hu pqavwedh ew nqvw ka vjdh kaid wj`w pqavwedh(
Aiafw{dhef f`ifqi`wd{v vjdqig ka qvag(
Eb wja gao{aa db `ffq{`fu ev hdw v}afebeag eh wja pqavwedh) `hg eb wja `hva{ ev hdw az`fw) oera wja `hva{ wdwj{aa veohebef`hw beoq{av( Oera `hva{v eh gao{aav wd dha gafen`i }i`fa(
Bd{ qva aewja{ udq{ f`ifqi`wd{ r`iqa d{ 6(07;(
@w wja ahg db wja az`neh`wedh) b`vwah ii udq{ d{c vafq{aiu wdoawja{(
Wja hqnka{ db n`{cv ev oerah eh k{`fcawv S ^ `w wja ahg db a`fj pqavwedh d{ }`{w pqavwedh(
Wja wdw`i db wja n`{cv bd{ wjev }`}a{ ev 06=(
-
7/31/2019 Maths Extended Long IGCSE Past Paper
2/16
;
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
0 *`% Eh ;==: wja wdw`i hqnka{ db wefcawv vdig bd{ `h `wjiawefv naaweho `v 6062(Wja {`wed fjeig wefcawv vdig < `gqiw wefcawv vdig > 0? < 6;(
*e% Jd n`hu fjeig wefcawv a{a vdig4
@hvwa{*`%*e% S;^
*ee% Fjeig wefcawv fdvw '; a`fj `hg `gqiw wefcawv fdvw '7(1= a`fj(
Vjd wj`w wja wdw`i `ndqhw {afaerag b{dn wja v`ia db wja wefcawv eh ;==: `v '0065;(
@hvwa{*`%*ee%
S;^
*k% Eh ;==5 wja `ndqhw {afaerag b{dn wja v`ia db wefcawv bd{ wja `wjiawefv naaweho `v '0;?7:(
F`ifqi`wa wja }a{fahw`oa ehf{a`va eh wja `ndqhw {afaerag b{dn ;==: wd ;==5(
@hvwa{*k% ! S6^
*f% Eh ;==: wja `ndqhw db '0065; `v ;:! nd{a wj`h wja `ndqhw {afaerag eh ;==?(
F`ifqi`wa jd nqfj `v {afaerag eh ;==?(
@hvwa{*f% ' S6^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
3/16
6
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva
; *`%
@
u
z
1
7
6
;
0
0
;
6
7
1
=0;671 176;0
*e% G{` wja en`oa jah w{e`hoia@ ev {abiafwag eh wja iehau > =(I`kai wja en`oaK( S;^
*ee% G{` wja en`oa jah w{e`hoia@ ev {dw`wag wj{dqoj 5=Q `hwefidfceva `kdqw wja d{eoeh(I`kai wja en`oa F( S;^
*eee% Gavf{eka bqiiu wja vehoia w{`hvbd{n`wedh jefj n`}v w{e`hoiaK dhwd w{e`hoia F(
@hvwa{*`%*eee% S;^
*k% [dw`wedh wj{dqoj 5=Q `hwefidfceva `kdqw wja d{eoeh ev {a}{avahwag ku wja n`w{ez N >= 0
0 =
(
*e% Behg N0) wja ehra{va db n`w{ez N(
@hvwa{*k%*e% N0 >
S;^
*ee% Gavf{eka bqiiu wja vehoia w{`hvbd{n`wedh {a}{avahwag ku wja n`w{ez N0(
@hvwa{*k%*ee% S;^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
4/16
7
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
6
_`ii
Ahfidvq{a z
HDW WD
VF@IA
@ b`{na{ n`cav ` {afw`hoqi`{ ahfidvq{a bd{ jev `hen`iv(Ja qvav ` `ii bd{ dha vega `hg ` wdw`i db ?; naw{av db bahfeho bd{ wja dwja{ wj{aa vegav(
Wja ahfidvq{a j`v egwjz naw{av `hg `{a`@ vpq`{a naw{av(
*`% Vjd wj`w@ > ?;z ;z;(
@hvwa{ *`%
S;^
*k% B`fwd{eva fdn}iawaiu ?;z ;z;(
@hvwa{*k% S;^
*f% Fdn}iawa wja w`kia bd{@ > ?;z ;z;(
z = 1 0= 01 ;= ;1 6= 61
@ = 60= 1;= 11= 62=
S6^
*g% G{` wja o{`}j db@ > ?;z ;z; bd{ = UzU 61 dh wja o{eg d}}dvewa(
-
7/31/2019 Maths Extended Long IGCSE Past Paper
5/16
1
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva?==
2==
1==
7==
6==
;==
0==
=1 0= 01 ;= ;1 6= 61
@
z
S7^
*a% Qva udq{ o{`}j wd behg
*e% wja r`iqav dbz jah@ > 71=)
@hvwa{*a%*e% z > d{z > S;^
*ee% wja n`zenqn `{a` db wja ahfidvq{a(
@hvwa{*a%*ee% n; S0^
*b% A`fj `hen`i nqvw j`ra `w ia`vw 0; n; bd{ o{`|eho(
F`ifqi`wa wja o{a`wavw hqnka{ db `hen`iv wj`w wja b`{na{ f`h caa} eh `h ahfidvq{a jefj j`v `h`{a` db 1==n;(
@hvwa{*b% S;^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
6/16
2
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
7
0(1n
;n
7
n
i
HDW WD
VF@IA
@h d}ah `wa{ vwd{`oa w`hc ev eh wja vj`}a db ` fuiehga{ dh wd} db ` fdha(Wja {`geqv db kdwj wja fuiehga{ `hg wja fdha ev 0(1 n(Wja jaeojw db wja fuiehga{ ev 7 n `hg wja jaeojw db wja fdha ev ; n(
*`% F`ifqi`wa wja wdw`i vq{b`fa `{a` db wja dqwvega db wja w`hc(SWja fq{rag vq{b`fa `{a`)@) db ` fdha ewj {`geqv {`hg vi`hw jaeojw iev@ > {i( ^
@hvwa{*`% n; S2^
*k% Wja w`hc ev fdn}iawaiu bqii db `wa{(
*e% F`ifqi`wa wja rdiqna db `wa{ eh wja w`hc `hg vjd wj`w ew {dqhgv wd 66 n 6) fd{{afw wd wja
ha`{avw jdia hqnka{(
SWja rdiqna) R) db ` fdha ewj {`geqv {`hg jaeojw j ev R>0
6{;j(^
@hvwa{*k%*e%
S7^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
7/16
?
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva
*ee%
=(1n HDW WD
VF@IA
Wja f{dvv.vafwedh db `h e{{eo`wedh fj`hhai ev ` vane.fe{fia db {`geqv =(1 n(Wja 66 n6 db `wa{ b{dn wja w`hc fdn}iawaiu beiiv wja e{{eo`wedh fj`hhai(
F`ifqi`wa wja iahowj db wja fj`hhai(
@hvwa{*k%*ee% n S6^
*f% *e% F`ifqi`wa wja hqnka{ db iew{av eh ` bqii w`hc db 66 n6(
@hvwa{*f%*e% iew{av S0^
*ee% Wja `wa{ g{`ehv b{dn wja w`hc `w ` {`wa db 0:== iew{av }a{ nehqwa(
F`ifqi`wa wja wena) eh nehqwav `hg vafdhgv) w`cah wd an}wu wja w`hc(
@hvwa{*f%*ee% neh v S;^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
8/16
:
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
1 Wja fqnqi`wera b{apqahfu w`kia vjdv wja gevw{ekqwedh db jaeojwv) j fahwenaw{av) db ;== vwqgahwv(
Jaeojw *j fn% U06= U07= U01= U02=
U021
U0?=
U0:= U05=
Fqnqi`wera b{apqahfu = 0= 1= 51 001 071 0:= ;==
*`% G{` ` fqnqi`wera b{apqahfu ge`o{`n wd vjd wja ehbd{n`wedh eh wja w`kia(
;==
02=
0;=
:=
7=
=
07=06= 01= 02= 0?= 0:= 05=
Jaeojw *j fn%
Fqnqi`wera
b{apqahfu
S7^
*k% Qva udq{ ge`o{`n wd behg
*e% wja nage`h)
@hvwa{*k%*e% fn S0^
*ee% wja q}}a{ pq`{weia)
@hvwa{*k%*ee% fn S0^
*eee% wja ehwa{pq`{weia {`hoa(
@hvwa{*k%*eee% fn S0^
*f% *e% Dha db wja ;== vwqgahwv ev fjdvah `w {`hgdn(
Qva wja w`kia wd behg wja }{dk`keiewu wj`w wja jaeojw db wjev vwqgahw ev o{a`wa{ wj`h 0?= fn(Oera udq{ `hva{ `v ` b{`fwedh(
@hvwa{*f%*e% S0^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
9/16
5
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva
*ee% Dha db wja ;== vwqgahwv ev fjdvah `w {`hgdn `hg wjah ` vafdhg vwqgahw ev fjdvah `w {`hgdnb{dn wja {an`eheho vwqgahwv(
F`ifqi`wa wja }{dk`keiewu wj`w dha j`v ` jaeojw o{a`wa{ wj`h 0?= fn `hg wja dwja{ j`v `jaeojw db 07= fn d{ iavv(Oera udq{ `hva{ `v ` b{`fwedh(
@hvwa{*f%*ee% S6^
*g% *e% Fdn}iawa wjev b{apqahfu w`kia jefj vjdv wja gevw{ekqwedh db wja jaeojwv db wja ;==vwqgahwv(
S;^*ee% Fdn}iawa wjev jevwdo{`n wd vjd wja gevw{ekqwedh db wja jaeojwv db wja ;== vwqgahwv(
2
1
7
6
;
0
=
06= 07= 01= 02=
Jaeojw *j fn%
0?= 0:= 05=
B{apqahfu
gahvewu
S6^
Jaeojw *j fn% 06=EjU07= 07=EjU01= 01=EjU02= 02=EjU021 021EjU0?= 0?=EjU0:= 0:=EjU05=
B{apqahfu 0= 7= 71 ;=
-
7/31/2019 Maths Extended Long IGCSE Past Paper
10/16
0=
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
2 *`%@
K FP [
]
00fn02(1fn05(1fn
HDW WD
VF@IA
Wja ge`o{`n vjdv ` wdu kd`w(@F> 02(1 fn)@K > 05(1 fn `hg][ > 00 fn(W{e`hoiav@KF`hg]P[ `{a venei`{(
*e% F`ifqi`wa]P(
@hvwa{*`%*e%]P > fn S;^
*ee% F`ifqi`waKF(
@hvwa{*`%*ee%KF> fn S6^
*eee% F`ifqi`wa `hoia@KF(
@hvwa{*`%*eee% @hoia@KF> S;^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
11/16
00
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva
*er% Wja wdu kd`w ev n`wjan`wef`iiu venei`{ wd ` {a`i kd`w(Wja iahowj db wja {a`i kd`w ev 6; wenav wja iahowj db wja wdu kd`w(Wja bqai w`hc eh wja wdu kd`w jdigv =(=; iew{av db geavai(
F`ifqi`wa jd n`hu iew{av db geavai wja bqai w`hc db wja {a`i kd`w jdigv(
@hvwa{*`%*er% iew{av S;^
*k%A
G O
B
?=
6;076
0=1n2?n
HDW WD
VF@IA
Wja ge`o{`n vjdv ` beaig GABO) eh wja vj`}a db ` pq`g{ei`wa{`i) ewj ` bddw}`wj `idho wjage`odh`iGB(
GB> 0=1 n `hgBO > 2? n(
@hoiaAGB> ?=Q) `hoiaABG > 6;Q `hg `hoiaGBO > 076Q(
*e% F`ifqi`waGO(
@hvwa{*k%*e%GO > n S7^
*ee% F`ifqi`waAB(
@hvwa{*k%*ee%AB> n S7^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
12/16
0;
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
? *`%
2;w
z
u
|
D
G
@
K
F
HDW WD
VF@IA
@)K) F`hgG `{a }dehwv dh wja fe{fqnba{ahfa db ` fe{fia fahw{a D(@Fev ` ge`nawa{(
KG >KF`hg `hoiaGKF> 2;Q(
_d{c dqw wja r`iqav dbw)z)u `hg|(Oera ` {a`vdh bd{ a`fj db udq{ `hva{v(
w > kaf`qva S;^
z > kaf`qva S;^
u > kaf`qva S;^
| > kaf`qva S;^
*k%
u
zD
@ *;)0%
K *7)7%HDW WD
VF@IA
*e% _{ewa gdh `v ` fdiqnh rafwd{(
@hvwa{*k%*e% >
S0^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
13/16
06
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva
*ee% >=
?
(
_d{c dqw `v ` fdiqnh rafwd{(
@hvwa{*k%*ee% >
S;^
*f%[
D P W
{
]
HDW WD
VF@IA
w
> { `hg > w(]ev dh[Wvqfj wj`w[] ; < 0(
P ev dh DWvqfj wj`w DP >;
6DW(
_{ewa wja bdiideho eh wa{nv db{ `hg$d{w(Ven}iebu udq{ `hva{v ja{a }dvvekia(
*e%
@hvwa{*f%*e% > S0^
*ee%
@hvwa{*f%*ee% > S;^
*eee%
@hvwa{*f%*eee% > S;^
*er% _{ewa gdh wd fdhfiqvedhv udq f`h n`ca `kdqw wja ieha vaonahw P](
@hvwa{*f%*er%
S;^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
14/16
07
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
: *`% b*z% > ;z 0 o*z% >z;
_d{c dqw
*e% b*;%)
@hvwa{*`%*e% S0^
*ee% o* ;%)
@hvwa{*`%*ee% S0^
*eee% bb*z% eh ewv ven}iavw bd{n)
@hvwa{*`%*eee% bb*z% > S;^
*er% b0*z%) wja ehra{va db b*z%)
@hvwa{*`%*er% b0*z% > S;^
*r% z jah ob*z% > 7(
@hvwa{*`%*r%z > d{z > S7^
*k% u ev ehra{vaiu }{d}d{wedh`i wdz `hgu > : jahz > ;(
Behg)
*e% `h apq`wedh fdhhafwehou `hgz)
@hvwa{*k%*e% S;^
*ee% u jahz >0
;(
@hvwa{*k%*ee%u > S0^
-
7/31/2019 Maths Extended Long IGCSE Past Paper
15/16
01
QFIAV ;=0= =1:=$70$D$H$0= SWq{h dra{
Bd{
Az`neha{/v
Qva
5 *`% Wja be{vw bera wa{nv ]0) ];) ]6) ]7 `hg ]1 db ` vapqahfa `{a oerah kaid(
0 > 0 > ]0
0 # ; > 6 > ];
0 # ; # 6 > 2 > ]6
0 # ; # 6 # 7 > 0= > ]7
0 # ; # 6 # 7 # 1 > 01 > ]1
*e% _{ewa gdh wja hazw wa{n) ]2) eh wja vapqahfa 0) 6) 2) 0=) 01
@hvwa{*`%*e% S0^
*ee% Wja bd{nqi` bd{ wja hwj wa{n db wjev vapqahfa ev
]h >0
;h*h # 0%(
Vjd wjev bd{nqi` ev w{qa jah h > 2(
@hvwa{ *`%*ee%
S0^
*eee% Qva wja bd{nqi` wd behg ]1=) wja 1=wj wa{n db wjev vapqahfa(
@hvwa{*`%*eee% S0^
*er% Qva udq{ `hva{ wd }`{w *eee% wd behg 6 # 2 # 5 # 0; #01 # # 01=(
@hvwa{*`%*er% S0^
*r% Behg 0 # ; # 6 # 7 # 1 # # 01=(
@hvwa{*`%*r% S0^
*re% Qva udq{ `hva{v wd }`{wv *er% `hg *r% wd behg wja vqn db wja hqnka{v iavv wj`h 01= jefj`{a hdw nqiwe}iav db 6(
@hvwa{*`%*re% S0^
Wjev pqavwedh fdhwehqav dh wja hazw }`oa(
-
7/31/2019 Maths Extended Long IGCSE Past Paper
16/16
02
]a{nevvedh wd {a}{dgqfa ewanv ja{a wje{g.}`{wu dhag n`wa{e`i }{dwafwag ku fd}u{eojw ev ehfiqgag j`v kaah vdqojw `hg fia`{ag ja{a }dvvekia( Ara{u{a`vdh`kia abbd{w j`v kaah n`ga ku wja }qkievja{ *QFIAV% wd w{`fa fd}u{eojw jdiga{v) kqw eb `hu ewanv {apqe{eho fia`{`hfa j`ra qhewwehoiu kaah ehfiqgag) wja}qkievja{ eii ka }ia`vag wd n`ca `nahgv `w wja a`{ieavw }dvvekia d}}d{wqhewu(
Qhera{vewu db F`nk{egoa Ehwa{h`wedh`i Az`neh`wedhv ev }`{w db wja F`nk{egoa @vvavvnahw O{dq}( F`nk{egoa @vvavvnahw ev wja k{`hg h`na db Qhera{vewu dbF`nk{egoa Idf`i Az`neh`wedhv Vuhgef`wa *QFIAV%) jefj ev ewvaib ` ga}`{wnahw db wja Qhera{vewu db F`nk{egoa(
QFIAV ;=0= =1:=$70$D$H$0=
Bd{
Az`neha{/v
Qva
*k% Wja be{vw bera wa{nv) V0) V;) V6) V7 `hg V1 db ` gebba{ahw vapqahfa `{a oerah kaid(
*0 0% > 0 > V0
*0 ;% # *; 0% > 7 > V;
*0 6% # *; ;% # *6 0% > 0= > V6
*0 7% # *; 6% # *6 ;% # *7 0% > ;= > V7
*0 1% # *; 7% # *6 6% # *7 ;% # *1 0% > 61 > V1
*e% _d{c dqw wja hazw wa{n) V2) eh wja vapqahfa 0) 7) 0=) ;=) 61
@hvwa{*k%*e% S;^
*ee% Wja bd{nqi` bd{ wja hwj wa{n db wjev vapqahfa ev
Vh >0
2h*h # 0%*h # ;%(
Vjd wjev bd{nqi` ev w{qa bd{h > 2(
@hvwa{*k%*ee%
S0^
*eee% Behg *0 ;=% # *; 05% # *6 0:% # *;= 0% (
@hvwa{*k%*eee% S0^
*f% Vjd wj`w V2 V1 > ]2) ja{a ]2 ev udq{ `hva{ wd }`{w *`%*e%(
@hvwa{*f%
S0^
*g% Vjd ku `ioak{` wj`w Vh Vh 0 > ]h ( S]h >0
;h*h # 0%^
@hvwa{*g%
S6^