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© UCLES 2017 [Turn over
Cambridge IGCSE®
MATHEMATICS 0580/02Paper 2 (Extended) For examination from 2020MARK SCHEME
Maximum Mark: 70
Specimen
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 2 of 10© UCLES 2017
Gen
eric
Mar
king
Pri
ncip
les
Thes
e ge
nera
l mar
king
prin
cipl
es m
ust b
e ap
plie
d by
all
exam
iner
s whe
n m
arki
ng c
andi
date
ans
wer
s. Th
ey sh
ould
be
appl
ied
alon
gsid
e th
e sp
ecifi
c co
nten
t of t
he
mar
k sc
hem
e or
gen
eric
leve
l des
crip
tors
for a
que
stio
n. E
ach
ques
tion
pape
r and
mar
k sc
hem
e w
ill a
lso
com
ply
with
thes
e m
arki
ng p
rinci
ples
.
GEN
ERIC
MA
RK
ING
PR
INC
IPLE
1:
Mar
ks m
ust b
e aw
arde
d in
line
with
:
•th
e sp
ecifi
c co
nten
t of t
he m
ark
sche
me
or th
e ge
neric
leve
l des
crip
tors
for t
he q
uest
ion
•th
e sp
ecifi
c sk
ills d
efin
ed in
the
mar
k sc
hem
e or
in th
e ge
neric
leve
l des
crip
tors
for t
he q
uest
ion
•th
e st
anda
rd o
f res
pons
e re
quire
d by
a c
andi
date
as e
xem
plifi
ed b
y th
e st
anda
rdis
atio
n sc
ripts
.
GEN
ERIC
MA
RK
ING
PR
INC
IPLE
2:
Mar
ks a
war
ded
are
alw
ays w
hole
mar
ks (n
ot h
alf m
arks
, or o
ther
frac
tions
).
GEN
ERIC
MA
RK
ING
PR
INC
IPLE
3:
Mar
ks m
ust b
e aw
arde
d po
sitiv
ely:
•m
arks
are
aw
arde
d fo
r cor
rect
/val
id a
nsw
ers,
as d
efin
ed in
the
mar
k sc
hem
e. H
owev
er, c
redi
t is g
iven
for v
alid
ans
wer
s whi
ch g
o be
yond
the
scop
e of
the
sylla
bus a
nd m
ark
sche
me,
refe
rrin
g to
you
r Tea
m L
eade
r as a
ppro
pria
te •
mar
ks a
re a
war
ded
whe
n ca
ndid
ates
cle
arly
dem
onst
rate
wha
t the
y kn
ow a
nd c
an d
o •
mar
ks a
re n
ot d
educ
ted
for e
rror
s •
mar
ks a
re n
ot d
educ
ted
for o
mis
sion
s •
answ
ers s
houl
d on
ly b
e ju
dged
on
the
qual
ity o
f spe
lling
, pun
ctua
tion
and
gram
mar
whe
n th
ese
feat
ures
are
spec
ifica
lly a
sses
sed
by th
e qu
estio
n as
indi
cate
d by
the
mar
k sc
hem
e. T
he m
eani
ng, h
owev
er, s
houl
d be
una
mbi
guou
s.
GEN
ERIC
MA
RK
ING
PR
INC
IPLE
4:
Rul
es m
ust b
e ap
plie
d co
nsis
tent
ly e
.g. i
n si
tuat
ions
whe
re c
andi
date
s hav
e no
t fol
low
ed in
stru
ctio
ns o
r in
the
appl
icat
ion
of g
ener
ic le
vel d
escr
ipto
rs.
GEN
ERIC
MA
RK
ING
PR
INC
IPLE
5:
Mar
ks sh
ould
be
awar
ded
usin
g th
e fu
ll ra
nge
of m
arks
def
ined
in th
e m
ark
sche
me
for t
he q
uest
ion
(how
ever
; the
use
of t
he fu
ll m
ark
rang
e m
ay b
e lim
ited
acco
rdin
g to
the
qual
ity o
f the
can
dida
te re
spon
ses s
een)
.
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 3 of 10© UCLES 2017
GEN
ERIC
MA
RK
ING
PR
INC
IPLE
6:
Mar
ks a
war
ded
are
base
d so
lely
on
the
requ
irem
ents
as d
efin
ed in
the
mar
k sc
hem
e. M
arks
shou
ld n
ot b
e aw
arde
d w
ith g
rade
thre
shol
ds o
r gra
de d
escr
ipto
rs in
m
ind.
MA
RK
SC
HE
ME
NO
TE
S
The
follo
win
g no
tes a
re in
tend
ed to
aid
inte
rpre
tatio
n of
mar
k sc
hem
es in
gen
eral
, but
indi
vidu
al m
ark
sche
mes
may
incl
ude
mar
ks a
war
ded
for s
peci
fic re
ason
s ou
tsid
e th
e sc
ope
of th
ese
note
s.
Type
s of m
ark
M
Met
hod
mar
k, a
war
ded
for a
val
id m
etho
d ap
plie
d to
the
prob
lem
. A
A
ccur
acy
mar
k, g
iven
for a
cor
rect
ans
wer
or i
nter
med
iate
step
cor
rect
ly o
btai
ned.
For
acc
urac
y m
arks
to b
e gi
ven,
the
asso
ciat
ed M
etho
d m
ark
mus
t be
earn
ed
or im
plie
d.B
M
ark
for a
cor
rect
resu
lt or
stat
emen
t ind
epen
dent
of M
etho
d m
arks
.
Whe
n a
part
of a
que
stio
n ha
s tw
o or
mor
e ‘m
etho
d’ st
eps,
the
M m
arks
are
in p
rinci
ple
inde
pend
ent u
nles
s the
sche
me
spec
ifica
lly sa
ys o
ther
wis
e; a
nd si
mila
rly
whe
re th
ere
are
seve
ral B
mar
ks a
lloca
ted.
The
not
atio
n ‘d
ep’ i
s use
d to
indi
cate
that
a p
artic
ular
M o
r B m
ark
is d
epen
dent
on
an e
arlie
r mar
k in
the
sche
me.
Abb
revi
atio
ns
cao
co
rrec
t ans
wer
onl
yde
p
depe
nden
tFT
follo
w th
roug
h af
ter e
rror
isw
igno
re su
bseq
uent
wor
king
nfw
w
not f
rom
wro
ng w
orki
ngoe
or e
quiv
alen
tSC
spec
ial c
ase
soi
se
en o
r im
plie
d
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 4 of 10© UCLES 2017
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
18(
h) 5
2 (m
in)
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
23.
75 o
r 343
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
331
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
4Id
entif
ies e
rror
cor
rect
ly (R
efer
s to
100 m
m2 =
1 cm
2 oe
)1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
511
2M
1 fo
r –2 ×
–7 –
3
soi
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
610
7 4 6
8
0 4
7
9
0 2
11 12 13
2B
1 fo
r 8 o
r 9 c
orre
ct n
umbe
rs o
rder
edor
for 1
0 co
rrec
t num
bers
not
ord
ered
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
7Tr
iang
le d
raw
n ac
cura
tely
with
a ru
ler a
nd a
pai
r of a
rcs
2B
1 fo
r tw
o si
des o
f the
cor
rect
leng
th d
raw
n as
pa
rt of
a tr
iang
le
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 5 of 10© UCLES 2017
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
8(a
=) 7
0(b
=) 4
02
B1
for e
ach
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
9w
=
y 53
7−
oe
2M
1 fo
r 5w
+ 7
= 3
y or
5w
– 3
y =
–7
or 5
w =
3y
– 7
or w
–
y 53 +
57 =
0
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
10C
anno
t be
writ
ten
as a
frac
tion
oe
1A
ccep
t 3 is
a p
rime
num
ber
Acc
ept d
ecim
al g
oing
on
fore
ver w
ith n
o pa
ttern
oe
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
1142
8.5
1Fi
rst v
alue
429.
51
Seco
nd v
alue
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
129.
1 o
e2
M1
for .
..PQ52
217
124
=
oe
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
13n
> 3.
752
M1
for 7
+ 8
< 5
n –
n o
eal
low
3¾
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 6 of 10© UCLES 2017
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
14C
omm
on d
enom
inat
or 6
0B
1A
ccep
t k ×
60
()
or 6035
956039+
M1
Acc
ept
()
or kk
kkk
6035
956039+
60134 o
r 16074
or 2 6014
and
2307
A1
Acc
ept
kk60134
or
kk1 6074
or
kk2 6014
and
2307
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
15(a
)–3
1
15(b
)9
– 2n
oe
2B
1 fo
r – 2
n +
k or
dn
+ 9
whe
re d
≠ 0
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
1614
53
M2
for (
6 –
2) ×
180
– 5
× 1
15
oeor
M1
for (
6 –
2) ×
180
oe
Alte
rnat
ive
met
hod
M2
for 1
80 –
(360
– 5
× (1
80 –
115
))or
M1
for 3
60 –
5 ×
(180
– 1
15)
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
1769
.3 o
r 69.
28...
4M
2 fo
r hei
ght 8
42
2−
oe
or M
1 fo
r 42 +
h2 =
82
oe
and
M1
for 21
(8 +
12)
× th
eir p
erp
heig
ht
oe
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 7 of 10© UCLES 2017
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
18(a
)
AB
1
18(b
)D
E
F
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
191.
37 o
r 1.3
74…
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
2010
0x =
32.
22…
oe
M1
9029
oe fr
actio
nB
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
21A
C
D
3B
1 fo
r eac
h
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 8 of 10© UCLES 2017
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
221210
oe
3M
2 fo
r 13241#
- o
r for
3143
3141
3243
##
#+
+
or
M1
for 3241#
or f
or 31
413243
##
+
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
2327
3M
2 fo
r 2
96##rr
× π
× 9
2 oe
or M
1 fo
r 2
96##rr
oe
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
24M
edia
n is
gre
ater
for E
lect
ro c
ompa
ny so
Tom
is w
rong
bec
ause
Spa
rk is
che
aper
oe
2M
1 fo
r Spa
rk m
edia
n =
46 a
nd
Elec
tro m
edia
n =
52
IQR
is g
reat
er fo
r Spa
rk c
ompa
ny so
Tom
is ri
ght S
park
is m
ore
varie
d o
e2
M1
for S
park
IQR
= 2
6 an
d El
ectro
IQR
= 1
8
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
25(x
+ 2
)2 or x
2 + 2
ax +
a2 −
bM
1
–3 –
(the
ir 2
)2 or a
2 − b
= −
3 or
2a
= 4
M1
(x +
2)2 –
7 o
r a =
2 a
nd b
= 7
M1
(−2,
−7)
B1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
26(a
)55
1
Alte
rnat
e se
gmen
t1
26(b
)11
51
Cyc
lic q
uadr
ilate
ral
1
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 9 of 10© UCLES 2017
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
27(a
)3x
22
B1
for 3
xk or k
x2 (k ≠
0 )
27(b
)32
3M
2 fo
r 8x2 a
nd x4 2
or B1
for
8x2 o
r x4 2
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
285x
2 + 4
x –
19 =
4x
+ 1
M1
For s
ubtra
ctin
g th
e tw
o eq
uatio
ns
5x2 –
20
= 0
M1
Alte
rnat
ive
met
hod
5x2 =
20
[5] (
x –
2)(x
+ 2
) [=
0]M
1x2 =
4
x =
2 an
d –2
B1
y =
9 an
d –7
B1
0580/02 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 10 of 10© UCLES 2017
BL
AN
K P
AG
E