mathematics - past papers | gce guide

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MATHEMATICS 0580/01Paper 1 (Core) For examination from 2020MARK SCHEME

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0580/01 Cambridge IGCSE – Mark Scheme For examination SPECIMEN from 2020

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)

.


of 8© 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


of 8© UCLES 2017

Que

stio

nA

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arks

Part

ial M

arks

117

017

1

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stio

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Part

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275

1

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stio

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Part

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310

7 4 6

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0 4

7

9

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11 12 13

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stio

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Part

ial M

arks

4(a)

6800

1

4(b)

6790

1

Que

stio

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arks

Part

ial M

arks

5C

orre

ct n

et d

raw

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B2

for 4

face

s cor

rect

ly d

raw

n an

d jo

ined

edg

e to

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for 2

face

s cor

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raw

n an

d jo

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edg

e to

edg

e

Que

stio

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nsw

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Part

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arks

6(a)

31

6(b)

All

3 co

rrec

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es o

f sym

met

ry d

raw

n1


of 8© UCLES 2017

Que

stio

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Part

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7(a)

kk53

whe

re k

is a

n in

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r ≠ 1

1

7(b)

71

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Que

stio

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Part

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860

03

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for 100031

or b

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Part

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9(a)

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stio

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arks

Part

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arks

10Tr

iang

le d

raw

n ac

cura

tely

with

a ru

ler a

nd a

pai

r of a

rcs

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r tw

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cor

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pa

rt of

a tr

iang

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Que

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Part

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arks

1131

1

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Part

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arks

12(a

)60

001

12(b

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stio

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nsw

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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


of 8© UCLES 2017

Que

stio

nA

nsw

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arks

Part

ial M

arks

14x8 y7

final

ans

wer

2M

1 fo

r xk y7 o

r x8 yk

Que

stio

nA

nsw

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arks

Part

ial M

arks

152.

02[0

] × 1

031

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stio

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arks

Part

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arks

16[O

ther

ang

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ould

be]

84°

oe

2M

1 fo

r 180

– (4

8 +

48)

Que

stio

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nsw

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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

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arks

Part

ial M

arks

1842

8.5

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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

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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


of 8© UCLES 2017

Que

stio

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arks

Part

ial M

arks

229.

1 o

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M1

for . PQ52

= ..

217

124

oe

Que

stio

nA

nsw

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arks

Part

ial M

arks

23(a

)T

G

3045

20

25

2B

1 fo

r any

2 c

orre

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23(b

)30

1FT

from

thei

r dia

gram

Que

stio

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arks

Part

ial M

arks

24(a

)6(

3x –

4)

fina

l ans

wer

1

24(b

)w

201

Que

stio

nA

nsw

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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

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arks

Part

ial M

arks

2610

900002

M1

30A

1


of 8© UCLES 2017

Que

stio

nA

nsw

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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

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arks

Part

ial M

arks

286.

75π

cao

2M

1 fo

r 360

30

× π

× 9

2

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