MATHEMATICS - Past Papers | GCE Guide
Transcript of MATHEMATICS - Past Papers | GCE Guide
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MATHEMATICS 0580/01Paper 1 (Core) For examination from 2020MARK SCHEME
Maximum Mark: 56
Specimen
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
Page 2 of 8© 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)
.
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
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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
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
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Que
stio
nA
nsw
erM
arks
Part
ial M
arks
117
017
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
275
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
310
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
ed
or fo
r 10
corr
ect n
umbe
rs n
ot o
rder
ed
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
4(a)
6800
1
4(b)
6790
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
5C
orre
ct n
et d
raw
n3
B2
for 4
face
s cor
rect
ly d
raw
n an
d jo
ined
edg
e to
ed
geor
B1
for 2
face
s cor
rect
ly d
raw
n an
d jo
ined
edg
e to
edg
e
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
6(a)
31
6(b)
All
3 co
rrec
t lin
es o
f sym
met
ry d
raw
n1
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
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Que
stio
nA
nsw
erM
arks
Part
ial M
arks
7(a)
kk53
whe
re k
is a
n in
tege
r ≠ 1
1
7(b)
71
oe1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
860
03
M1
for 100031
or b
ette
rM
1 fo
r [6 ×]
102
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
9(a)
54
oe1
9(b)
40
cao
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
10Tr
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
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
1131
1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
12(a
)60
001
12(b
)0.
7 o
e1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
133 ×
180
oe.
Ref
ers t
o 3
trian
gles
. Int
erio
r ang
les o
f tria
ngle
tota
l 180
oe
1
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
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Que
stio
nA
nsw
erM
arks
Part
ial M
arks
14x8 y7
final
ans
wer
2M
1 fo
r xk y7 o
r x8 yk
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
152.
02[0
] × 1
031
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
16[O
ther
ang
le c
ould
be]
84°
oe
2M
1 fo
r 180
– (4
8 +
48)
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
17C
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
1842
8.5
1Fi
rst v
alue
429.
51
Seco
nd v
alue
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
19w
=
y 5
37
−
oe2
M1
for 5
w +
7 =
3y
or 5
w –
3y
= –7
or
5w
= 3
y –
7
or w
–
y 53 +
57 =
0
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
20(a
)A
oe
1
20(b
)A ∪
B
oe1
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
2134
0 or
339
.7 to
339
.84
2M
1 fo
r 4 ×
π ×
5.2
2
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
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Que
stio
nA
nsw
erM
arks
Part
ial M
arks
229.
1 o
e2
M1
for . PQ52
= ..
217
124
oe
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
23(a
)T
G
3045
20
25
2B
1 fo
r any
2 c
orre
ct
23(b
)30
1FT
from
thei
r dia
gram
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
24(a
)6(
3x –
4)
fina
l ans
wer
1
24(b
)w
201
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
25C
omm
on d
enom
inat
or 6
0B
1A
ccep
t k ×
60
()
or
60
35
95
60
39
+M
1A
ccep
t (
)or k
kk
kk60
35
95
60
39
+
60
134
or 160
74
or 260
14
and
2307
A1
Acc
ept
kk60
134
or
kk160
74
or
kk260
14
and
2307
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
2610
900002
M1
30A
1
0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020
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Que
stio
nA
nsw
erM
arks
Part
ial M
arks
27(a
)–4
, 3, 2
22
B1
for 2
val
ues c
orre
ct
27(b
)n2 +
2 fi
nal a
nsw
er2
M1
for n
2 + k
Que
stio
nA
nsw
erM
arks
Part
ial M
arks
286.
75π
cao
2M
1 fo
r 360
30
× π
× 9
2