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Mock paper mark schemes
Edexcel GCSE in Mathematics Linear 2540, Modular 2544
Linear 1380, Modular 2381
January 2008
GCSE
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Edexcel, a Pearson company, is the UK's largest awarding body offering academic and vocational qualifications and testing to more than 25,000 schools, colleges, employers and other places of learning here and in over 100 countries worldwide. Our qualifications include GCSE, AS and A Level, GNVQ, NVQ and the BTEC suite of vocational qualifications from entry level to BTEC Higher National Diplomas and Foundation Degrees. We deliver 9.4 million exam scripts each year, with over 3.8 million marked onscreen in 2006. As part of Pearson, Edexcel has been able to invest in cutting-edge technology that has revolutionised the examinations system, this includes the ability to provide detailed performance data to teachers. Acknowledgements This document has been produced by Edexcel on the basis of consultation with teachers, examiners, consultants and other interested parties. Edexcel recognises and values all those who contributed their time and expertise to the development of GCSE specifications. References to third party material made in this specification are made in good faith. Edexcel does not endorse, approve or accept responsibility for the content of materials, which may be subject to change, or any opinions expressed therein. (Material may include textbooks, journals, magazines and other publications and websites.) Authorised by Roger Beard Prepared by Ali Melville Publications code UG019581 All the material in this publication is copyright © Edexcel Limited 2008
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Contents
GCSE Mathematics 2540 and 1380 (Linear) mock papers 1 Paper 1 (Foundation) mark scheme 3 Paper 2 (Foundation) mark scheme 11 GCSE Mathematics 2540 (Linear) mock papers 17 Paper 3 (Higher) mark scheme 19 Paper 4 (Higher) mark scheme 29 GCSE Mathematics 2544 (Modular) mock papers 37 Unit 4 (Foundation) mark scheme 39 Unit 4 (Higher) mark scheme 45 GCSE Mathematics 1380 (Linear) mock papers 53 Paper 3 (Higher) mark scheme 55 Paper 4 (Higher) mark scheme 65 GCSE Mathematics 2381 (Modular) mock papers 73 Unit 2 Stage 1 mock papers 75 Unit 2 Stage 1 mark scheme 76 Unit 2 Stage 2 mock papers 77 Unit 2 Stage 2 (Foundation) mark scheme 79 Unit 2 Stage 2 (Higher) mark scheme 81 Unit 3 mock papers 83 Unit 3 (Foundation) mark scheme 85 Unit 3 (Higher) mark scheme 91 Notes on marking principles 99
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UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
1
GCSE Mathematics mock papers
2540 and 1380 (Linear)
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
2
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
3
GCS
E M
athe
mat
ics
2540
and
138
0 Pa
per
1 (F
ound
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n) m
ark
sche
me
Num
ber
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65
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B1
cao
B1
cao
=
UG
0195
81 –
Moc
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pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
4 N
umbe
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ark
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9)
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B1
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i) (
ii)
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22
10
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B1
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B1
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a)
(b
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ii
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21
41
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1
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B1
cao
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1 ±
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circ
umfe
renc
e
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
5
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
10
(a)
(b
)=
A
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D
B
and
C
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for b
oth
corr
ect
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for 1
cor
rect
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r bot
h co
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11
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0 1 21
31
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on
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ery
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m)
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(with
in 1
cm
) B
1 fo
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ss o
n or
nea
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for c
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12
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Expl
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ion
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or 3
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B
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to 2
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500
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nd
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aini
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hich
is th
e la
rger
or s
mal
ler a
ppro
pria
tely
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13(a
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(b)
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Sy
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258
1 1 1 2
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pt 3
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1 ca
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1 ca
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2 fo
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5 B
1 fo
r 32/
100
oe
14
7 13
11
1 1 1
B1
cao
B1
cao
B1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
6 N
umbe
r W
orki
ng
Ans
wer
M
ark
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15(a
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8 A
1 fo
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17(a
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(b)
(c
)
(d)
x =
8 –
5 2y
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2 3 g
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+ 7
5 k
+ 5
= 3
k +
12
2 k =
7
k= 7
÷ 2
3 6 5 3.5
1 1 2 3
B1
cao
B1
cao
M1
for 8
+7 o
e A
1 fo
r 5
M1
for 5
k +
5 M
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A1
cao
18
254
43
×
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9
160
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×
200
50
40
40
8000
20
00
160
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0 15
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12
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22
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etho
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(B1
for a
cor
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mul
tiplic
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ruct
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cond
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1 er
ror i
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= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
7
Num
ber
Wor
king
A
nsw
er
Mar
kN
otes
19
10
015
80×
=12
80+1
2 =
92
£92
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1 10
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12
A1
92
Or
M2
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115
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r atte
mpt
to fi
nd 1
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% o
f £80
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2
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5
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e 3
B3
for a
ll 6
corr
ect
(B2
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cor
rect
) (B
1 fo
r 2 c
orre
ct)
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
8 N
umbe
r W
orki
ng
Ans
wer
M
ark
Not
es
21
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+
1091−
101
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as 6
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mon
den
omin
ator
A
1 fo
r 9/1
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en
M1
for 1
– “
9/10
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1 fo
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, 23
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1 fo
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B1
ft fo
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” +
3
23(a
)
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ssel
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with
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÷ “
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(a)
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58
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5
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4
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ttem
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e th
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actio
ns o
ver a
com
mon
den
omin
ator
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6463+
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
9
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
27
(a)
(b
)
3 28
1 2
B1
cao
M1
for u
sing
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item
or c
irclin
g 8
in 2
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w in
dia
gram
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r 28
28
(4, 2
, 0)
2
B2
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B1
0 29
2028
6×
×
480
2 M
1 fo
r 20
286
××
A1
cao
30
12
7×
84
2
M1
127×
A
1 ca
o
31
x =
124
– 78
A
ngle
s on
stra
ight
line
sum
to
180
Cor
resp
ondi
ng a
ngle
s A
ngle
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m to
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1 46
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y 2
corr
ect r
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ant s
tate
men
ts
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
10
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
11
GCS
E M
athe
mat
ics
2540
and
138
0 Pa
per
2 (F
ound
atio
n) m
ark
sche
me
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1(
a)
(b)
(
c)
(d)
43
1.
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ectly
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r Q m
arke
d co
rrec
tly
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
12
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
6
i
ii
ii
i
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ne
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t C
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wn
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in 2
mm
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e
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+ £7
.50
£20
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50
3 M
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r 2 ×
£4.
50 o
r fo
r £“9
” +
£7.5
0 M
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r £20
– £
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9 4
× 27
24
÷ 3
1
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108 8 27
279
1 1 1 1
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B1
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7 M
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nces
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= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
13
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
12
(a)
(b
)
2 ×
(3.5
+ 5
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ade
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15
(a)
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22
38
Ex
plan
atio
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53 is
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the
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1 2
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r 4 ×
4
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24.8
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1.42
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00 ×
1.4
5 A
1 ca
o M
1 fo
r 24.
85 ÷
1.4
2 A
1 fo
r 17.
50
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
14
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
18
(i)
(i
i)
(iii)
5.
0625
5 4
1 1 1
19(a
)
(b)
(c
)
2413
2415
0
1 1 1
B1
cao
B1
oe
B1
cao
20
(a)
(b
)
13 =
2x
+ 5
13 –
5 =
2x
3r+2
s 4
2 2
B2
for 3
r + 2
s (B
1 fo
r 3r o
r 2s)
M
1 fo
r 2x
= 13
– 5
A
1 fo
r 4
21
Tria
ngle
Tria
ngle
2 2
M1
for a
refle
ctio
n in
x o
r y a
xis
A1
for c
orre
ct tr
iang
le w
ith c
oord
s (–1
, 1),
(–1,
4),
(–3,
1)
M1
for a
rota
tion
of 9
0º c
lock
wis
e or
ant
iclo
ckw
ise
A1
for c
orre
ct tr
iang
le w
ith c
oord
s (1,
–1)
, (4,
–1)
, (1,
–3)
22
55 ×
3
165
2 M
1 fo
r 55
× 3
A1
for 1
65
=23
1
kg o
f app
les c
osts
£1
.28
2 kg
of l
emon
s cos
ts
£5.7
6–(×3
£1.2
8)=
£1.9
2
96p
3 B
1 fo
r £1.
28
M1
for £
5.76
–×3
”1.2
8 “
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
15
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
24
4.
3% o
f £50
00 =
£21
5 50
00 +
215
× 2
£
5430
3
M1
for
4.3%
of £
5000
= £
215
M1
5000
+ 2
15 ×
2
A1
cao
25
(a)
(b)
)4
(2)
32(2
yx
yx
−+
+
56 =
6x
– 4
yx
26
−
10
2 2
M1
)4
(2)
32(2
yx
yx
−+
+
A1
cao
M1
56 =
‘6x
– 4’
A
1 10
ft o
n (a
)
26
x5
x2 + 7
x +
12
1 2 A
1 ca
o M
1 fo
r cor
rect
exp
ansi
on
A1
cao
27
10² +
24²
= 1
00 +
576
√”
676”
26
+ (2
×24
) + (2
×10
)
94
4 M
1 fo
r 10²
+ 2
4² o
r 100
+ 5
76
M1
for √
”676
” A
1 fo
r 26
seen
A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
16
Num
ber
Wor
king
A
nsw
er.
Mar
k N
otes
28
(a)
(b
)
20×
π
'8.62'
100
30×
= 4
7.77
62.8
48
2 2
M1
20×
π
A1
62.8
- 62
.84
M1
'8.62'
100
30×
or 3
0 m
÷’62
.8 c
m’
A1
48
29
(a)
(b
)
400
360
72×
30%
of 3
60 =
108
80
108
2 2
M1
400
360
72×
A1
cao
M1
30%
of 3
60
A1
108o
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
17
GCSE Mathematics mock papers
2540 (Linear)
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
18
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
19
GCS
E M
athe
mat
ics
2540
Pap
er 3
(H
ighe
r) m
ark
sche
me
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1(
a)
(b)
58
3020
××=
40600
15
15
2 1
B1
58
3020
×× o
r 5
830
19××
or
58
3120××
B1
14 -
16
B1
ft on
(a)
2
100
1580
× =
12
80 +
12
= 92
£92
3 M
1 10
015
80×
A1
12
A1
92
Or
M2
100
115
80×
A1
92
Or
M
1 fo
r atte
mpt
to fi
nd 1
0% a
nd 5
% o
f £80
A
1 12
A
1 92
3 x
-1
0 1
2 3
4 y
12
10
8 6
4 2
3 B
1 fo
r any
cor
rect
(x,y
) B
1 an
y ot
her c
orre
ct (x
,y)
B1
corr
ect l
ine
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
20
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
4
x =
124
– 78
A
ngle
s on
stra
ight
line
su
m to
180
C
orre
spon
ding
ang
les
Ang
les i
n a
trian
gle
sum
to 1
80
46
Expl
anat
ion
2 1
M1
sigh
t of 5
6 A
1 46
B
1 an
y 2
corr
ect r
elev
ant s
tate
men
ts
5 Sq
uare
44×
=16
Trap
eziu
m
)412(
2)8
4(−
×+
= 48
Or
Rec
tang
le
4812
4=
×
Tria
ngle
28
4× =
16
64
4 M
1 fo
r 4
4 × o
r 16
M1
for
)412(
2)8
4(−
×+
or 4
8
M1
(dep
on
at le
ast 1
pre
viou
s M1)
‘16’
+ ‘4
8’
A1
for 6
4 O
r M
1 12
4× o
r 48
M1
284 ×
or 1
6
M1
(dep
on
at le
ast 1
pre
viou
s M1)
‘16’
+ ‘4
8’
A1
for 6
4
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
21
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
6
4 3
6
5 2
8
6 2
3 5
7
3 6
6 9
9
8 1
2 4
Key
8│
4 re
pres
ents
8.4
cm
Dia
gram
3
B3
fully
cor
rect
incl
udin
g ke
y (B
2 1
erro
r or o
mis
sion
in ta
ble
or k
ey)
(B1
2 er
rors
or o
mis
sion
s in
tabl
e or
key
) (B
2 un
orde
red,
no
erro
rs o
ther
wis
e, w
ith k
ey)
(B1
unor
dere
d 1
or m
ore
erro
rs, w
ith k
ey o
r uno
rder
ed, n
o er
rors
, w
ith k
ey)
7 M
ales
60%
of 1
500
= 90
0 Fe
mal
es 4
0% o
f 150
0 =
600
Mal
es li
ke te
nnis
30%
of 9
00 =
270
Fe
mal
es li
ke te
nnis
40%
of 6
00 =
24
0
510
4 B
1 fo
r 900
B
1 fo
r 150
0 –
‘900
’ M
1 fo
r atte
mpt
to fi
nd 2
70 o
r 240
B
1 ca
o
8 (a
)
(b)
204
52
++
+q
22
64
96
mkm
mk
k−
+−
209
2+
+q
q
2
26
56
mm
kk
−−
2 2
M1
for s
ight
of 3
or 4
out
of 4
term
s cor
rect
A
1 ca
o M
1 fo
r sig
ht o
f 3 o
ut o
f 4 te
rms c
orre
ct in
clud
ing
sign
s or 4
out
of
4 te
rms c
orre
ct ig
norin
g si
gns
A1
cao
9
123
55
+=
+x
x
512
35
−=
−x
x
3.5
3 B
1 )
123
(5
5+
=+
xx
M
1 co
rrec
t pro
cess
to is
olat
e 2x
or
x2−
A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
22
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
10
i
ii
68 4−
2122 1110
=
16 21
2 2
M1
for
68 4−
A
1 ca
o M
1 fo
r 1110 22
A1
oe
11(a
)
(b)
127×
884
÷
84
10.5
2 2
M1
127×
A
1 ca
o M
1 8
'84'
÷
A1
ft 12
64
633
32 121
2+
=+
= 67
3 =
61
4
614
3
M1
for a
ttem
pt to
writ
e th
e fr
actio
ns o
ver a
com
mon
den
omin
ator
A1
6463+
A1
cao
13
706
4050
2430
3010
×+
×+
×+
×
=344
0 10
0'
3440
'÷
34.4
4
M1
fxΣ u
se o
f x c
onsi
sten
tly in
eac
h in
terv
al (m
ay in
clud
e en
dpoi
nts)
M
1 (d
ep) u
se o
f mid
poin
ts
M1
(dep
on
1st M
1)
ffx ΣΣ
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
23
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
14
(a)
(
b)
2028
6×
×
6
'48
0'
×
480
2880
2 2
M1
for
2028
6×
×
A1
cao
M1
6'
480
'×
A
1 ft
15 (a
)
(b)
(c
)
(d)
8585×
8385
8385
×+
×
563574
8575
83=
×+
×
85 85 ,
83
6425
6430
85
2 2 3 2
B1
85 o
n th
e fir
st b
ranc
h
B1
85 ,83
resp
ectiv
ely
on e
ach
pair
of th
e se
cond
bra
nche
s
M1
8585×
A1
cao
M1
8385×
M1
8385
8385
×+
×
A1
cao
M1
7485
7583
×+
×
A1
85 o
e
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
24
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
16
(a)
(
b)
10
1036
×
600
000
11
106.3×
1 2
B1
cao
B1
for
1010
36×
or 3
6000
0000
000
B1
cao
17
(a) i
ii
(b
) i
ii
57o
Ang
le su
m o
f a tr
iang
le is
180
A
ngle
in a
sem
icirc
le is
a ri
ght a
ngle
18
0 –
‘57’
O
ppos
ite a
ngle
s of a
cyc
lic q
uadr
ilate
ral
sum
to 1
80o
57o
R
easo
ns
12
3o
Rea
son
3 2
B1
for R
= 9
0o B
1 fo
r 57o
B1
for b
oth
B1
ft on
‘57’
B
1 O
ppos
ite a
ngle
s of a
cyc
lic q
uadr
ilate
ral s
um to
180
o
18 i
ii
)1
)(4(
++
xx
4,1−
−
3 B
2 )1
)(4(
++
xx
(B
1 )
)((
bx
ax
++
, whe
re a
b =
4 )
B1
both
ft o
n (i)
19 (a
)
(b
)
(c
)
0
32
=+x
2 (0
,3)
(5.1
−, 0
)
1 1 2
B1
cao
B1
cao
M1
for
03
2=
+x o
e A
1 ca
o
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
25
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
20
(a)
(b
)
1510
102
××
+×
ππ
SF
leng
th =
64
= 8
N
ew ra
dius
=
108×
π25
0
80
3 2
M1
for
210×
π o
r 15
10×
×π
M
1 fo
r 15
1010
2×
×+
×π
π
A1
cao
B1
for
64or
8
B1
for 8
0
21(a
) (
b)
bax
y=
+2
2
ax=
yb−
ay
bx
−=
2
ay
bx
−±
=
B
2 1
M1
isol
ate
2ax
± c
orre
ctly
M1
ay
bx
−=
2
B1
cao
22
12,2
2,2
+−
xx
x
)12
)(22(
)12(
2)2
2(2
+−
++
+−
xx
xx
xx
2
24
24
44
22
2−
−+
++
−x
xx
xx
x
24
122
−−
xx
48
242
−−
xx
4
B1
for
12,2
2+
−x
xse
en
M1
for a
t lea
st o
ne te
rm o
f )1
2)(2
2()1
2(2
)22(
2+
−+
++
−x
xx
xx
x
M1
for a
ll 3
term
s A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
26
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
23
(a)
i
ii
i
ii
(b
)
2228×
=
24
228
=
1 91
2 24
1 1 1 3
B1
cao
B1
cao
B1
cao
M1
2228×
A1
428
oe
A1
24
or
32
24
(a) i
ii
(b)
(1
80, 0
) (9
0, 2
) Se
e be
low
2 1
B1
cao
B1
cao
B1
x
y
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
27
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
25
(a)
(b
) (i)
(ii
)
)23)(2
3()2
3)(32(
+−
+−
yy
yy
() }2
]2[3
}{3]2
[2{+
+−
+x
x
or
610
524
246
2−
−−
++
xx
x =
8
196
2+
+x
x
)23)(3
2(+
−y
y
23
32
−−yy
)8
3)(12(
++
xx
2 2 2
B2
cao
(B1
))(
(d
cyb
ay−
+, w
ith
dc
ba
,,
,al
l pos
itive
and
ac
= 6
and
bd
= 6)
B
1 )2
3)(23(
+−
yy
B
1 ca
o M
1 su
bstit
ute
x +
2 fo
r y in
(a)
A1
cao
or
M1
expa
nd a
nd c
olle
ct te
rms
A1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
28
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
29
GCS
E M
athe
mat
ics
2540
Pap
er 4
(H
ighe
r) m
ark
sche
me
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1
(a)
(b)
100
51×
)3
2(18
0+
÷ =
36
7236
2=
×
20%
£72
2 2
M1
100
51×
A1
cao
M1
)32(
180
+÷
A
1 ca
o
2(a)
(
b)
1−(0
.1 +
0.3
5 +
0.36
) 0.
35 +
0.3
6
0.19
0.71
2 2
M1
for 1−
(0.1
+ 0
.35
+ 0.
36)
A1
0.19
oe
M1
0.35
+ 0
.36
A1
0.71
oe
3
1 kg
of a
pple
s cos
ts £
1.28
2
kg o
f lem
ons c
osts
£5.
76-×3
£1.2
8 =
£1.9
2 96
p 3
B1
for £
1.28
M
1 fo
r £5.
76−
×3£’
1.28
‘ A
1 ca
o
4(a)
(
b)
400
360
72×
30%
of 3
60 =
108
80
108
2 2
M1
400
360
72×
A1
cao
M1
30%
of 3
60
A1
108o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
30
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
5
(a)
(b
)
212
5−
=−
xx
yy+
=−
22
4
2.5 32
2 2
M1
212
5−
=−
xx
A
1 2.
5 oe
M
1 y
y+
=−
22
4
A1
32 o
e
6 (a
)
(b)
34
36−
×−
−
p
qy
34
=+
y
pq
−=
34
24−
4
3y
pq
−=
2 2
M1
for
34
36−
×−
−
A1
cao
M1
for a
cor
rect
met
hod
to is
olat
e q4
± o
r 4
÷co
rrec
tly
A1
43
yp
q−
= o
e
7 (a
)
(b)
20×
π
'8.62'
100
30×
= 4
7.77
62.8
48
2 2
M1
20×
π
A1
62.8
or 6
2.84
M
1 '8.
62'10
030
× o
r 30
m÷’
62.8
cm
’
A1
48
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
31
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
8
(a)
(b
)
R
efle
ctio
n in
the
line
2−=
x
Tr
iang
le w
ith
verti
ces a
t (4,
2)
(8, 2
)(8,
8)
2 2
B1
refle
ctio
n B
1 lin
e 2−
=x
B
2 co
rrec
t enl
arge
men
t in
corr
ect p
lace
(B
1 co
rrec
t enl
arge
men
t in
wro
ng p
lace
)
9 (a
)
(b)
)4
(2)
32(2
yx
yx
−+
+
56 =
6x
– 4
yx
26
−
10
2 2
M1
)4
(2)
32(2
yx
yx
−+
+
A1
cao
M1
56 =
‘6x
– 4’
A
1 10
ft o
n (a
)
10
5000
)04
3.0
1(2×
+
OR
4.3
% o
f £50
00 =
£21
5 4.
3% o
f £52
15 =
£22
4.24
5
£543
9.24
(5)
3 M
2 50
00)
043
.01(
2×
+
A1
£543
9.24
or £
5439
.25
OR
M
1 fo
r 4.
3% o
f £50
00 =
£21
5 M
1 4.
3% o
f £52
15 =
£22
4.24
5 A
1 £5
439.
24 o
r £54
39.2
5
11
22
1210
+ 2
212
10+
= 1
5.62
15
.62
+ 20
+ 2
4
59.6
4
M1
22
1210
+
M1
22
1210
+
M1
’15.
62’ +
20
+ 24
A
1 59
.6 –
59.
65
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
32
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
12
(a)
(b
)
425×
=a
25
8÷
=b
10 3.
2
2 2
M1
425×
=a
A1
10
M1
258÷
=b
A1
3.2
13
80
0 –
80 =
720
%3072
0 =
240
0
£240
0 3
M1
800
– 80
M1
%3072
0 o
e
A1
cao
14
(a)
(
b)
(
c)
LQ =
1.5
kg,
UQ
= 3
.4 k
g
2.5
kg
1.9k
g IQ
R ig
nore
s ou
tlier
s
1 2 1
B1
tol
1.0±
B
1 fo
r eith
er L
Q o
r UQ
B
1 1.
8 –
2.0
B1
igno
res o
utlie
rs o
e
15
64
26
44
=−
=+
yx
yx
6x =
12
5.0,2
−=
=y
x
3 M
1 fo
r a c
orre
ct p
roce
ss w
hich
lead
s to
the
elim
inat
ion
of e
ither
x o
r y, a
llow
1
arith
met
ical
err
or
M1
sub
for o
ne v
aria
ble
in o
ne o
f the
eq
uatio
ns
A1
cao
(bot
h)
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
33
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
16
i
ii
i
ii
11 a
5
8b
2p
q2
1 2 2
B1
cao
B2
cao
(B1
58
b+
) B
2 2p
q2 oe
(B1
2 +
pq2 )
17
5.
947
3330
0010
24×
×
3010
96.1×
2
M1
5.94
733
3000
1024×
×
A1
3010
965
.196.1
×−
18 (a
)
(b)
Le
ngth
V
olum
e 1
2 1
B1
cao
B1
cao
B1
cao
19
102.5
tan
=x
)52.0(
tan
1−=
x
27.5
3
M1
102.5
tan
=x
M1
)52.0(
tan
1−=
x
A1
27.4
7 –
27.5
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
34
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
20
(a)
(b
)
3kR
M=
3 5
3750
×=
k
125
3750
=k
= 3
0
3 6
30×
=M
330
RM
=
64
80
3 2
M1
3kR
M=
M
1 3 5
3750
×=
k
A1
k =
30
M1
3 6'
30'×
=M
A
1 ca
o
21
740
6512
524
031
0=
++
+
50'
740
'31
0×
÷
21
4 M
1 74
065
125
240
310
=+
++
M
1 '
740
'31
0÷×5
0
A1
20.9
5 A
1 21
22 (a
)
(b)
1030
sin
12sin
=x
1030
sin
12si
n×
=x
180
– 36
.87
-30
= 11
3.13
13.11
3si
n12
1021
××
×
36.9
55.2
3 3
M1
1030
sin
12sin
=x
oe
M1
1030
sin
12si
n×
=x
A1
36.8
5-36
.9
M1
use
of
Cab
sin
21
M1
'13.
113
sin'
1210
21×
××
mus
t be
the
incl
uded
ang
le
A1
55.1
8 –
55.2
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
35
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
23
(a)
(b
)
(c)
(d
)
)8
(+x
x =
40
240
14
88
2−
××
−−
=μ
x
222
48±
−=
x
)8(+x
x
0
408
2=
−+
xx
3.48
, -11
.5
11
.48
1 2 3 1
B1
cao
M1
)8(+x
x=4
0 A
1
M1
240
14
88
2−
××
−±
−=
x
M1
222
48±
−=
x
A1
3.4
8, -1
1.5
B1
ft
24
42co
s4
62
46
22
××
×−
+
42co
s48
52−
= 1
6.32
9
4.04
3
M1
42co
s4
62
46
22
××
×−
+
M1
corr
ect u
se o
f Bid
mas
A
1 4.
04-4
.045
25(a
)
(b)
(c
)
2 )2
3(−
n =
4
129
2+
−n
n
= 2
)24
3(32
−+
−n
n
22
2y
xyx
++
3n –
2
2
)24
3(32
−+
−n
n
1 2 3
B1
cao
M1
for 3
n +
k, o
e, w
here
k is
a c
onst
ant
A1
k =
2−
B
1 fo
r sig
ht o
f 2 )2
3(−
n
M1
corr
ect e
xpan
sion
of
2 )23(
−n
A
1 fo
r a fu
ll ar
gum
ent w
hich
pro
ves S
ophi
e’s
stat
emen
t
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
36
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
37
GCSE Mathematics mock papers
2544 (Modular)
Unit 4
Number, Algebra and Shape, Space and Measures 2
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
38
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
39
GCS
E M
athe
mat
ics
2544
Uni
t 4
(Fou
ndat
ion)
mar
k sc
hem
e
Sect
ion
A
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1
(a)
(b
)
(c)
273
– 12
1 7.
50 +
2 ×
4.2
0 20
– “
15.9
0”
152
4.10
20 1
0
2 3 2
M1
for 2
73 –
121
A
1 ca
o M
1 fo
r 7.5
0 +
2 ×
4.20
M
1 fo
r 20
– “1
5.90
” A
1 ca
o M
1 fo
r evi
denc
e of
add
ing
1 ho
ur 4
0 m
inut
es to
18
30
A1
cao
2
(a)
(b
)
(c)
C
E B
and
E
1 1 2
B1
cao
B1
cao
B1
for B
B
1 fo
r E
3
(a)
(b
)
(c)
47 10
0
52%
25
%
1 1 1
B1
cao
B1
cao
B1
cao
4
(a)
(b
)
(c)
7.
2 cm
65
o AB
and
DC
m
arke
d
1 1 1
B1
cao
B1
cao
B1
cao
5 (a
)
(b)
(c
)
Is
osce
les
A B
and
D
1 1 1
B1
cao
B1
cao
B1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
40
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
6
(a)
(b)
0.06
4 25
000
1 2 B
1 ca
o M
1 fo
r 5 ×
5 o
r 10
× 1
0 ×
10
A1
cao
7
(a)
(b
)
3 5 1 1
B1
cao
B1
cao
8
(a)
(b
) 24
÷ 4
× 3
6 18
1 2
B1
cao
M1
for 2
4 ÷
4 or
6
A1
cao
9
33 –
13
= 20
20
÷ 5
4
2 M
1 fo
r 20
seen
A
1 ca
o
10 (a
)
(b)
3 ×
6 –
8 (–
4)2 +
3 ×
3
10 25
2 2
M1
for 3
× 6
– 8
A
1 ca
o M
1 fo
r sub
stitu
tion
A1
cao
11
(a)
(b
)
32
88
+
75
23 ××
5 8 6 35
2 2
M1
for
2 8
A1
cao
M1
for f
ract
ion
with
den
omin
ator
of 3
5 or
num
erat
or o
f 6
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
41
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
12
Cor
rect
net
2
B2
for c
orre
ct n
et
(B1
for 3
rect
angl
es o
r tw
o rig
ht a
ngle
d tri
angl
es w
ithin
a
net)
13 (a
)
(b)
1 : 5
1 3
1 1 B
1 ca
o B
1 ca
o
14
C
orre
ct
rota
tion
2 B
2 fo
r cor
rect
rota
tion
(B1
for t
riang
le o
f cor
rect
orie
ntat
ion
but w
rong
pos
ition
) 15
Dia
gram
3
B1
for b
earin
g of
140
o ±2o fr
om B
lack
port
B1
for b
earin
g of
200
o ±2o fr
om C
lanc
y B
ay
B1
for ×
with
in g
uide
lines
16
20
350
100×
70
2
M1
for
2035
010
0×
oe
A1
cao
17
360 ÷
40
9 2
M1
for 3
60 ÷
40
A1
cao
18 (a
)
(b)
(c)
16 ÷
(20÷
60)
or
3 ×
16
16
48
Gra
ph
1 2 2
B1
cao
M1
for 1
6 ÷
(20÷
60)
or 3
× 1
6
A1
cao
M1
for s
traig
ht li
ne w
ith n
egat
ive
grad
ient
A
1 fo
r lin
e st
artin
g at
(50,
16) a
nd fi
nish
ing
at (6
5,0)
19
(a)
(
b)
2 2
B2
(B
1 fo
r one
squa
re m
issi
ng o
r ext
ra)
B2
(B
1 fo
r one
squa
re m
issi
ng o
r ext
ra)
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
42
Sect
ion
B N
umbe
r W
orki
ng
Ans
wer
M
ark
Not
es
1 (a
)
(b)
2
lines
of
sym
met
ry
Sh
ape
refle
cted
2 2
B2
for b
oth
lines
of s
ymm
etry
cor
rect
(B
1 fo
r 1 li
ne c
orre
ct)
B2
for f
ully
cor
rect
refle
ctio
n (B
1 fo
r any
line
cor
rect
ly re
flect
ed)
2 5.
65 ×
3
5.40
÷ 4
7.
20 +
16.
95 +
5.4
0
16.9
5,
1.35
, 29
.55
3 B
1 fo
r 16.
95
B1
for 1
.35
B1
ft fo
r 29.
55
3 i
ii
C
ylin
der
Sphe
re
2 B
1 ca
o B
1 ca
o 4
50 350
1 7
2
M1
for
50 350
oe
A1
cao
5 (
a) i
ii
(b) i
ii
(c)
3 –11 3 2 –3
5 B
1 ca
o B
1 ca
o B
1 fo
r 3 o
r –3
B1
for 2
or –
2 B
1 ca
o
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
43
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
6
(a)
(b
)
3810
– 3
540
= 27
0 27
0 ×
36 =
972
0 37
.60 ÷
40
97.2
0 94
p or
£0.
94
4 3
M1
for 3
810
– 35
40 (=
270)
M
1 fo
r “27
0” ×
36
A1
for “
9720
” ÷
100
A1
for 9
7.20
M
1 fo
r 37.
60 ÷
4
A1
for d
igits
94
A1
for c
orre
ct u
nits
with
ans
wer
7
D
raw
ing
3 B
1 fo
r ang
le B
dra
wn
with
in to
lera
nce
B1
for a
ngle
A d
raw
n w
ithin
tole
ranc
e B
1 fo
r com
plet
ely
corr
ect t
riang
le w
ithin
tole
ranc
e 8
475 ×
1.96
93
1 2
M1
for 4
75 ×
1.9
6 A
1 ca
o 9
2070
0(
140)
100×
=
700
+ 14
0
840
3 M
1 fo
r 20
700
(14
0)10
0×
=oe
M1
for 7
00 +
“14
0”
A1
cao
10
i
i
i 18
0 –
34 (=
146)
“1
46”÷
2
73
3 M
1 fo
r (18
0 –
34) ÷
2
A1
cao
B1
for ‘
angl
es in
a tr
iang
le a
dd to
180
o and
isos
cele
s tri
angl
e’
11 (
a)
(b)
1.5×
40 +
20
(180
– 2
0) ÷
40
80 4
2 2
M1
for 1
.5 ×
40
+ 20
A
1 ca
o M
1 fo
r (18
0 –
20) ÷
40
A1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
44
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
12
(a)
(
b)
(
c)
10
11
4.
5
1 1 1
B1
cao
B1
cao
B1
cao
13
En
larg
emen
t 2
B2
for c
orre
ctly
enl
arge
d sh
ape
(B1
for a
ny tw
o lin
es c
orre
ct le
ngth
)
14 (
a)
(b)
(c)
4y =
9 –
2
2w +
2 =
10
17
7 4
4
1 2 2
B1
cao
M1
for 4
y =
9 –
2 A
1 oe
M
1 fo
r 2w
+ 2
= 1
0 o
r w +
1 =
5
A1
cao
15
3 +
5 =
8 24
.80 ÷
“8”
(5 –
3) ×
“3.
10”
6.20
3
M1
for 2
4.80
÷ (3
+5) (
=3.1
0)
M1
for
3.10
× 5
or
3.10
× 3
or
3.10
× 2
A
1 ca
o 16
π ×
52 78
.5 c
m2
3 M
1 fo
r π ×
52
A1
cao
B1
for c
m2
17 (a
) i
i
i
(b)
x7 y4
Expl
anat
ion
2 1
B1
cao
B1
cao
B1
for ‘
no e
qual
s sig
n’ o
r ‘it
is a
n ex
pres
sion
’ oe
18
AC2 =
62 +
102
36
100
+
11.7
3
M1
for 6
2 + 1
02 M
1 fo
r 36
100
+
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
45
GCS
E M
athe
mat
ics
2544
Uni
t 4
(Hig
her)
mar
k sc
hem
e
Sect
ion
A
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1
(a)
(b
)
(c)
35÷7
= 5
5
× 3
= 15
3
÷ 8
91
15
0.37
5
1 2 2
B1
M1
for 3
5÷7
or 5
seen
A
1 ca
o M
1 fo
r a v
alid
atte
mpt
to d
ivid
e 3
by 8
or 0
.3…
seen
A
1 ca
o 2
2+3
= 5
= 5
52827
3
M1
for c
omm
on d
enom
inat
or o
f 28
M1
dep
for o
ne n
umer
ator
cor
rect
or
2827 se
en
A1
cao
3 (a
) (
b)
5x −
3x
= −2
2x
= −
2 y −
5 =
2(6 −
y)
y −
5 =
12 −
2y
y +
2y
= 12
+ 5
3y
= 1
7
−1 317
2 3
M1
for 5
x −
3x =
−2
oe
A1
cao
M1
for
y −
5 =
2(6 −
y) o
r 12 −
2y
M1
for
y +
2y
= 12
+ 5
oe
A1
for
317
oe
4 24
÷ 6
= 4
4
× 4
16
2 M
1 fo
r 24
÷ 6
or 4
seen
A
1 ca
o
2820
7+
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
46
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
5
(a)
(b
)
(c)
“16”
÷ (2
0 ÷
60)
16 48
Line
to 8
0
1 2 2
B1
M1
for “
16”
÷ “t
ime”
A
1 c
ao
B2
for s
traig
ht li
ne fr
om (5
0, 1
6) to
(65,
0)
(B1
for s
traig
ht li
ne fr
om (5
0,16
) to
time
axis
) 6
C
orre
ct P
3
B1
for l
ine
140°
from
Bla
ckpo
rt ±2
° B
1 fo
r lin
e 20
0° fr
om C
lanc
y B
ay ±
2°
B1
for c
orre
ct p
ositi
on
7
3y =
7 −
5x
357
x−
2
M1
for 3
y =
7 −
5x o
e
A1
for
357
x−
oe
8 (a
) (
b)
x ≥ −1
−2, −
1, 0
, 1, 2
2 2
B2
(B1
for
x ≤ −1
or
x >
−1)
B
2 (B
1 fo
r 1 o
mis
sion
or 1
ext
ra)
9 (a
)
(b)
915
721
1 1 B
1 B
1 10
5y
> −
3 −7
5y
> −
10
y > −2
2
M1
for 5
y > −3
−7
or
5
y > −1
0 A
1 ca
o
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
47
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
11
(a)
(b
)
2 2
B2
(B1
for o
ne sq
uare
mis
sing
or e
xtra
) B
2 (B
1 fo
r one
squa
re m
issi
ng o
r ext
ra)
12
ro
tatio
n 18
0°
cent
re (0
, 0)
3 M
1 fo
r rot
atio
n or
2 c
orre
ct re
flect
ions
on
diag
ram
…
igno
re la
bels
M
1 (d
ep) f
or 1
80° o
r cor
rect
cen
tre
A1
cao
13
(x
+11
)(x −
3)
3
or −1
1
3 B
2 fo
r (x
+11)
(x −
3)
(B1
for (
x ±1
1)(x
± 3
))
B1
ft 14
(D),
C, E
, A, F
, B
3 B
3 fo
r all
corr
ect
(B2
for 3
or 4
cor
rect
B
1 fo
r 1 o
r 2 c
orre
ct )
15
34
° re
ason
2
B1
for 3
4°
B1
for a
ngle
at c
entre
= 2
× a
ngle
at c
ircum
fere
nce
oe
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
48
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
16
expl
anat
ion
2 B
2 fo
r if n
= o
dd, t
hen
n3 = o
dd, a
nd o
dd +
odd
= e
ven
i
f n =
eve
n, th
en n
3 =ev
en, a
nd e
ven
+ ev
en =
eve
n oe
(B
1 fo
r les
s cle
ar e
xpla
natio
n or
subs
titut
ing
at le
ast 3
di
ffer
ent v
alue
s to
show
it is
true
17 (a
)
(b)
361
9
1 2
B1
M1
for
32
A1
cao
18
28
6+
×
22
=
22
82
6+
3
2+
2 3
M1
for
×22
M1
for
22
82
6+
oe
A1
cao
(acc
ept p
= 3
, q =
2)
19
Let B
P =
x
AP
= 4x
AB
= 5
x
B
C =
3x
AC2 =
(5x)
2 − (3
x)2
AC =
4x
sin
B =
xx 54 =
54
Proo
f 4
M1
for A
B =
5‘x’
or
BC =
3‘x
’
M1
for c
orre
ct u
se o
f Pyt
hago
ras
A1
for A
C =
4‘x
’
B1
for s
in B
=
xx 54
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
49
Sect
ion
B N
umbe
r W
orki
ng
Ans
wer
M
ark
Not
es
1
Ref
lect
ion
2
B2
(B1
for 2
line
s in
corr
ect p
ositi
on)
2 24
.8 ÷
8 =
3.1
3
× 3.
1 =
9.3
5
× 3.
1 =
15.5
15
.5 −
9.3
6.20
3
M1
for 2
4.8
÷ 8
or
3.1
seen
A
1 fo
r 9.3
or
15.5
B
1 fo
r 6.2
0
3 π(
5)2
78.5
cm2
3 M
1 fo
r π(5
)2 o
e A
1 fo
r ans
wer
that
roun
ds to
78.
5 B
1 (in
dep)
for c
m2
4
C =
5a
+ 2f
3
B3
for
C =
5a
+ 2f
oe
(B2
for
5a +
2f
B
1 fo
r C =
an
expr
essi
on in
a a
nd b
or
5a
oe o
r 2f
oe
seen
) 5
120
20
61
2 M
1 fo
r con
verti
ng b
oth
to th
e sa
me
units
A
1 ca
o
6
Rot
atio
n 2
B2
for c
orre
ct ro
tatio
n (B
1 fo
r cor
rect
orie
ntat
ion
or 9
0° c
lock
wis
e ro
tatio
n)
7(a)
i
i
i (
b)
x12
y4
reas
on
2 1
B1
B1
B1
for n
o eq
ual s
ign
or it
is a
n ex
pres
sion
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
50
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
8
x +
7 +
x +
7 +
2x −
1 =
27
4x +
13
= 27
4x
= 2
7 −
13 =
14
x =
3.5
Larg
est s
ide
= 3.
5 +
7
10.5
4
M1
for x
+ 7
+ x
+ 7
+ 2
x −
1 =
27
oe
M1
for c
orre
ctly
rear
rang
ing
‘equ
atio
n’ w
ith x
term
s on
one
side
and
rest
on
othe
r sid
e (a
ccep
t use
of o
nly
2 si
des)
A
1 fo
r 3.5
oe
B
1 ft
(dep
on
M1)
for ‘
3.5’
+ 7
9
6.5
÷ 2.
6 (
= 2.
5)
‘2.5
’ × 3
7.
5 2
M1
for 6
.5 ÷
2.6
or 2
.5 se
en
A1
cao
10(a
)
(b)
9,
3, 3
grap
h
2 2
B2
(B1
for 1
cor
rect
) M
1 fo
r plo
tting
at l
east
4 p
oint
s cor
rect
ly a
nd jo
inin
g w
ith a
cu
rve
or p
lotti
ng a
ll co
rrec
t poi
nts b
ut n
ot jo
ined
with
a c
urve
A
1 ca
o 11
4
… 1
24
5 …
245
4.
6 …
190
4.7
… 2
03
4.65
… 1
96
4.7
4 M
1 fo
r cor
rect
tria
l bet
wee
n 4
and
5 in
clus
ive
M1
for f
urth
er c
orre
ct tr
ial b
etw
een
4 an
d 5
excl
usiv
e M
1 fo
r tria
l of 4
.65
A1
cao
12
9.1 ×
tan
24°
= 4.
0515
81
4.05
3
M1
for u
se o
f tan
M
1 fo
r 9.1
× ta
n 24°
A1
for 4
.05
or b
ette
r 13
(1
.05)
3 × 6
000
or
5÷10
0 ×
6000
= 3
00
Tota
l 630
0 5÷
100
× 63
00 =
315
To
tal 6
615
5÷10
0 ×
6615
= 3
30.7
5
6945
.75
3 B
1 fo
r (1.
05)3
M1
for (
‘1.0
5’)3 ×
600
0 A
1 ca
o or
M
1 fo
r 5÷1
00 ×
600
0 +
6000
or
630
0 se
en
M1
for 5
÷100
× ‘6
300’
+ ‘6
300’
and
5÷1
00 ×
‘661
5’ +
‘661
5’
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
51
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
14
35.
13...
03.2...
09.58
0−
=
35.13
...06.
578
43.3
0060
69
2 B
2 fo
r ans
wer
roun
ds to
43.
3 (B
1 fo
r 578
… o
r 580
.09.
. or 2
.03…
seen
)
15
2b
(3a
+ c)
bac2
3a2
3 B
1 B
1 B
1
16
100
÷ 80
× 2
7.60
34
.50
3 B
1 fo
r 80
or
0.8
seen
M
1 fo
r 100
÷ 8
0 ×
27.6
0 o
e A
1 ca
o 17
(a)
(
b)
24.5
× 6
.5
23.5
÷ 6
.5
159.
25
3.
6153
8461
5
2 2
B2
cao
(B1
for 2
4.5
× x
or
6.5
× x
) acc
ept 2
4.49
999
or 6
.499
99 o
e)
B2
for 3
.615
or b
ette
r (B
1 fo
r 23.
5 ÷
6.5
or 2
3.5
÷ 6.
4999
9 oe
) 18
A
rea
sect
or
= 8
0 ÷
360
× π(
6.2)
2
= 2
6.83
618…
A
rea
trian
gle
= 0
.5 ×
6.2
× 6
.2 ×
sin
80°
=
18.
928
…
26.8
36 −
18.
928
= 7.
908
7.91
5
M1
for
80 ÷
360
× π
(6.2
)2 o
r 26.
83…
seen
M
1 fo
r 0.
5 ×
6.2
× 6.
2 ×s
in 8
0°
or 1
8.92
… se
en
M1
for 2
6.83
… o
r 18.
92…
. see
n M
1 fo
r ‘ar
ea se
ctor
’ − ‘a
rea
trian
gle’
A
1 fo
r ans
wer
that
roun
ds to
7.9
1
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
52
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
19
4x
2 = 1
1x +
3
4x2 −
11x
− 3
= 0
(4
x +
1)(x
− 3
) = 0
x =
−41
or 3
y =
41
or 3
6
x =
−41
y =
36
x
= 3
y =
41
5 B
1 fo
r 4x2 =
11x
+ 3
oe
M1
for
(4x
± 1)
(x ±
3)
A1
for x
= −
41 o
r 3
M1
for s
ubst
itutio
n to
get
y
A1
for y
=
41 o
r 36
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
53
GCSE Mathematics mock papers
1380 (Linear)
NB Paper 3 and Paper 4 for 1380 only
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
54
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
55
GCS
E M
athe
mat
ics
1380
Pap
er 3
(H
ighe
r) m
ark
sche
me
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1(
a)
(b
)
58
3020
××=
40600
15
15
2 1
B1
58
3020
×× o
r 5
830
19××
or
58
3120××
B1
14 -
16
B1
ft on
(a)
2
100
1580
×=1
2
80+1
2 =
92
£92
3 M
1 10
015
80×
A1
12
A1
92
Or
M2
100
115
80×
A1
92
Or
M
1 fo
r atte
mpt
to fi
nd 1
0% a
nd 5
% o
f £80
A
1 12
A
1 92
3 x
–1
0 1
2 3
4 y
12
10
8 6
4 2
3 B
1 fo
r any
cor
rect
(x,y
) B
1 an
y ot
her c
orre
ct (x
,y)
B1
corr
ect l
ine
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
56
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
4
x =
124
– 78
A
ngle
s on
stra
ight
line
sum
to
180
Cor
resp
ondi
ng a
ngle
s A
ngle
s in
a tri
angl
e su
m to
180
46
2 1
M1
sigh
t of 5
6 A
1 46
B
1 an
y 2
corr
ect r
elev
ant s
tate
men
ts
5 Sq
uare
44×
=16
Trap
eziu
m
)412(
2)8
4(−
×+
= 48
Or
Rec
tang
le
4812
4=
×
Tria
ngle
28
4× =
16
64
4 M
1 fo
r 4
4× o
r 16
M1
for
)412(
2)8
4(−
×+
or 4
8
M1
(dep
on
at le
ast 1
pre
viou
s M1)
A
1 fo
r 64
Or
M1
124×
or 4
8
M1
284×
or 1
6
M1
(dep
on
at le
ast 1
pre
viou
s M1)
A
1 fo
r 64
6
4 3
6
5 2
8
6 2
3 5
7
3 6
6 9
9
8 1
2 4
Key
8│
4 re
pres
ents
8.4
cm
Dia
gram
3
B3
fully
cor
rect
incl
udin
g ke
y (B
2 1
erro
r or o
mis
sion
in ta
ble
or k
ey)
(B1
2 er
rors
or o
mis
sion
s in
tabl
e or
key
) (B
2 un
orde
red,
no
erro
rs o
ther
wis
e, w
ith k
ey)
(B1
unor
dere
d 1
or m
ore
erro
rs, w
ith k
ey o
r uno
rder
ed, n
o er
rors
, w
ith k
ey)
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
57
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
7
Mal
es 6
0% o
f 150
0 =
900
Fem
ales
40%
of 1
500
= 60
0 M
ales
like
tenn
is 3
0% o
f 900
=
270
Fem
ales
like
tenn
is 4
0% o
f 600
=
240
510
4 B
1 fo
r 900
B
1 fo
r 150
0 –
‘900
’ M
1 fo
r atte
mpt
to fi
nd 2
70 o
r 240
B
1 ca
o
8 (a
) (
b)
204
52
++
+q
22
64
96
mkm
mk
k−
+−
209
2+
+q
q
2
26
56
mm
kk
−−
2 2
M1
for s
ight
of 3
or 4
out
of 4
term
s cor
rect
A
1 ca
o M
1 fo
r sig
ht o
f 3 o
ut o
f 4 te
rms c
orre
ct in
clud
ing
sign
s or 4
out
of 4
te
rms c
orre
ct ig
norin
g si
gns
A1
cao
9
12
35
5+
=+
xx
5
123
5−
=−
xx
5.3
=x
3
B1
)12
3(
55
+=
+x
x
M1
corr
ect p
roce
ss to
isol
ate
2x o
r x2
−
A1
cao
10
i
ii
68 4−
2122 1110
=
16 21
2 2
M1
for
68 4−
A
1 ca
o M
1 fo
r 1110 22
A1
oe
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
58
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
11
(a)
(
b)
127×
884
÷
84
10.5
2 2
M1
127×
A
1 ca
o M
1 8
'84'
÷
A1
ft
12
6463
332 1
212
+=
+
= 67
3 =
61
4
614
3
M1
for a
ttem
pt to
writ
e th
e fr
actio
ns o
ver a
com
mon
den
omin
ator
A1
6463+
A1
cao
13
706
4050
2430
3010
×+
×+
×+
×
= 34
40 10
0'
3440
'÷
34.4
4
M1
fxΣ u
se o
f x c
onsi
sten
tly in
eac
h in
terv
al (m
ay in
clud
e en
dpoi
nts)
M
1 (d
ep) u
se o
f mid
poin
ts
M1
(dep
on
1st M
1)
ffx ΣΣ
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
59
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
14
(a)
(
b)
2028
6×
×
6'
480
'×
480
2880
2 2
M1
for
2028
6×
×
A1
cao
M1
6'
480
'×
A
1 ft
15 (a
)
(b)
(c)
(d)
8585×
8385
8385
×+
×
563574
8575
83=
×+
×
85 85 ,
83
6425
6430
85
2 2 3 2
B1
cao
85 o
n th
e fir
st b
ranc
h
B1
cao
85 ,83
resp
ectiv
ely
on e
ach
pair
of th
e se
cond
bran
ches
M
1 85
85×
A1
cao
M1
8385×
M1
8385
8385
×+
×
A1
cao
M1
7485
7583
×+
×
A1
85 o
e
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
60
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
16
(a)
(b)
10
1036
×
600
000
11
106.3×
1 2
B1
cao
B1
for
1010
36×
or 3
6000
0000
000
B1
cao
17
(a)
i
ii
(b) i
ii
57o
Ang
le su
m o
f a tr
iang
le is
180
o A
ngle
in a
sem
i-circ
le is
a ri
ght a
ngle
18
0 –
‘57’
O
ppos
ite a
ngle
s of a
cyc
lic q
uadr
ilate
ral s
um
to 1
80o
57o
R
easo
ns
12
3o
Rea
son
3 2
B1
for R
= 9
0o B
1 fo
r 57o
B1
for b
oth
angl
e su
m o
f a tr
iang
le is
180
o A
ngle
in a
sem
i-circ
le is
a ri
ght a
ngle
B
1 ft
on ‘5
7’
B1
oppo
site
ang
les o
f a c
yclic
qua
drila
tera
l sum
to
180o
18
i
ii
)1
)(4(
++
xx
4,1−
−
3 B
2 )1
)(4(
++
xx
(B
1 )
)((
bx
ax
++
W
here
ab
= 4
) B
1 bo
th ft
on
(i)
19
(a)
(b)
(c
)
0
32
=+x
2 (0
,3)
(5.1
−, 0
)
1 1 2
B1
cao
B1
cao
M1
for
03
2=
+x
oe
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
61
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
20
(a)
(
b)
1510
102
××
+×
ππ
SF
leng
th =
64
= 8
N
ew ra
dius
=
108×
π25
0
80
3 2
M1
for
210×
π o
r 15
10×
×π
M
1 fo
r 15
1010
2×
×+
×π
π
A1
cao
B1
for
64or
8
B1
for 8
0 21
(a)
(
b)
bax
y=
+2
2
ax=
yb−
ay
bx
−=
2
ay
bx
−±
=
B
2 1
M1
ay
bx
−=
2
A1
(con
done
om
issi
on o
f ±
) B
1 ca
o 22
1
2,22,
2+
−x
xx
)1
2)(2
2()1
2(2
)22(
2+
−+
++
−x
xx
xx
x
22
42
44
42
22
−−
++
+−
xx
xx
xx
2
412
2−
−x
x
48
242
−−
xx
4
B1
for
12,2
2+
−x
xse
en
M1
for a
t lea
st o
ne te
rm o
f )1
2)(2
2()1
2(2
)22(
2+
−+
++
−x
xx
xx
x
M1
for a
ll 3
term
s A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
62
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
23
(a) i
ii
iii
(b
)
2228×
=
24
228
=
1 91
2 24
1 1 1 3
B1
cao
B1
cao
B1
cao
M1
2228×
A1
428
oe
A1
24
or
32
24(a
) i
ii
(b
)
(1
80, 0
) (9
0, 2
)
See
belo
w
2 1
B1
cao
B1
cao
B1
x
y
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
63
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
25
(a)
(b
)
() }2
]2[3
}{3]2
[2{+
+−
+x
x
or
610
524
246
2−
−−
++
xx
x =
8
196
2+
+x
x
)23)(3
2(+
−y
y
)8
3)(12(
++
xx
2 2
B2
cao
(B1
))(
(d
cyb
ay−
+, w
ith
dc
ba
,,
,al
l pos
itive
and
ac
= 6
and
bd =
6
M1
subs
titut
e x
+ 2
for y
in (a
) A
1 ca
o or
M
1 ex
pand
and
col
lect
term
s A
1 ca
o
26
24
30
2
B1
cao
B1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
64
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
65
GCS
E M
athe
mat
ics
1380
Pap
er 4
(H
ighe
r) m
ark
sche
me
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1
(a)
(b
)
100
51×
)3
2(18
0+
÷ =
36
7236
2=
×
20%
£72
2 2
M1
100
51×
A1
cao
M1
)32(
180
+÷
A
1 ca
o
2(a)
(b)
1−(0
.1+0
.35+
0.36
) 0.
35 +
0.3
6
0.19
0.71
2 2
M1
for 1−
(0.1
+0.3
5+0.
36)
A1
0.19
oe
M1
0.35
+ 0
.36
A1
0.71
oe
3 1
kg o
f app
les c
osts
£1.
28
2 kg
of l
emon
s cos
ts £
5.76
− ×3
£1.2
8 =
£1.9
2 96
p 3
B1
for £
1.28
M
1 fo
r £5.
76 −
×3
£’1.
28 ‘
A1
cao
4(a)
(b)
400
360
72×
30%
of 3
60 =
108
80
108
2 2
M1
400
360
72×
A1
cao
M1
30%
of 3
60 o
r 108
seen
A
1 ca
o la
belle
d pi
e ch
art
5 (a
)
(b)
212
5−
=−
xx
yy+
=−
22
4
2.5 32
2 2
M1
212
5−
=−
xx
A
1 2.
5 oe
M
1 y
y+
=−
22
4
A1
32 o
e
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
66
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
6
(a)
(b
)
34
36−
×−
−
p
qy
34
=+
y
pq
−=
34
24−
4
3y
pq
−=
2 2
M1
for
34
36−
×−
−
A1
cao
M1
for a
cor
rect
met
hod
to is
olat
e q4
± o
r 4
÷co
rrec
tly
A1
43
yp
q−
= o
e
7 (a
)
(b)
20×
π
'8.62'
100
30×
= 4
7.77
62.8
48
2 2
M1
20×
π
A1
62.8
-62.
84
M1
'8.62'
100
30×
or 3
0 m
÷’62
.8 c
m’
A1
48
8
(a)
(b
)
R
efle
ctio
n in
th
e lin
e 2−
=x
Tr
iang
le w
ith
verti
ces a
t (4
,2)(
8,2)
(8,8
)
2 2
B1
refle
ctio
n B
1 lin
e 2−
=x
B
2 co
rrec
t enl
arge
men
t in
corr
ect p
lace
(B
1 co
rrec
t enl
arge
men
t in
wro
ng p
lace
)
9(a)
(
b)
)4
(2)
32(2
yx
yx
−+
+
56 =
6x
– 4
yx
26
−
10
2 2
M1
)4
(2)
32(2
yx
yx
−+
+
A1
cao
M1
56 =
‘6x
– 4’
A
1 10
ft o
n (a
)
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
67
Num
ber
Wor
king
A
nsw
er.
Mar
k N
otes
10
50
00)
043
.01(
2×
+
OR
4.3
% o
f £50
00 =
£21
5 4.
3% o
f £52
15 =
£22
4.24
5
£543
9.24
(5)
3 M
2 50
00)
043
.01(
2×
+
A1
£543
9.24
- £5
439.
25
OR
M
1 fo
r 4.
3% o
f £50
00 =
£21
5 M
1 4.
3% o
f £52
15 =
£22
4.24
5 A
1 £5
439.
24 -
£543
9.25
11
22
1210
+ 2
212
10+
= 1
5.62
15
.62
+ 20
+ 2
4
59.6
cm
4
M1
22
1210
+
M1
22
1210
+
M1
’15.
62’ +
20
+ 24
A
1 59
.6 –
59.
65
12
(a)
(b
)
425×
=a
=10
25
8÷
=b
10 3.
2
2 2
M1
425×
=a
A1
10
M1
258÷
=b
A1
3.2
13
80
0 –
80 =
720
%3072
0 =
240
0
£240
0 3
M1
800
– 80
M1
%3072
0 o
e
A1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
68
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
14
(a)
(
b)
(
c)
(
d)
LQ =
1.5
kg,
UQ
= 3
.4 k
g
2.5
kg
1.9
kg
IQ
R ig
nore
s ou
tlier
s B
ox p
lot
1 2 1 3
B1
tol
1.0±
B
1 fo
r eith
er L
Q o
r UQ
B
1 1.
8 –
2.0
B1
igno
res o
utlie
rs o
e B
1 fo
r cor
rect
“w
hisk
ers”
B
1 co
rrec
t qua
rtile
s B
1 co
rrec
t med
ian
mar
ked
15
64
26
44
=−
=+
yx
yx
6x =
12
5.0,2
−=
=y
x
3 M
1 fo
r a c
orre
ct p
roce
ss w
hich
lead
s to
the
elim
inat
ion
of e
ither
x o
r y, a
llow
1 a
rithm
etic
al
erro
r M
1 su
b fo
r one
var
iabl
e in
one
of t
he e
quat
ions
A
1 ca
o (b
oth)
16 i
ii
iii
11 a
5
8b
2p
q2
1 2 2
B1
cao
B2
cao
(B1
58
b+
) B
2 2p
q2 oe
(B1
2+ p
q2 ) 17
5.
947
3330
0010
24×
×
3010
96.1×
2
M1
5.94
733
3000
1024×
×
A1
3010
965
.196.1
×−
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
69
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
18
10
2.5ta
n=
x
)52.0(
tan
1−=
x
27.5
3
M1
102.5
tan
=x
M1
)52.0(
tan
1−=
x
A1
27.4
7 –
27.5
19
(a)
(
b)
3kR
M=
3 5
3750
×=
k
125
3750
=k
= 3
0
3 6
30×
=M
330
RM
=
64
80
3 2
M1
3kR
M=
M
1 3 5
3750
×=
k
A1
k =
30
M1
3 6'
30'×
=M
A
1 ca
o
20
740
6512
524
031
0=
++
+
50'
740
'31
0×
÷
21
4 M
1 74
065
125
240
310
=+
++
M
1 '
740
'31
0÷×
50
A1
20.9
5 A
1 21
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
70
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
21
(a)
(
b)
1030
sin
12sin
=x
1030
sin
12si
n×
=x
180
– 36
.87
-30
= 11
3.13
13.11
3si
n12
1021
××
×
36.9
55.2
3 3
M1
1030
sin
12sin
=x
oe
M1
1030
sin
12si
n×
=x
A1
36.8
5-36
.9
M1
use
of
Cab
sin
21
M1
'13.
113
sin'
1210
21×
××
mus
t be
the
incl
uded
ang
le
A1
55.1
8 –
55.2
22
(a)
(b
)
(c)
(d
)
)8
(+x
x =
40
240
14
88
2−
××
−−
=μ
x
222
48±
−=
x
)8(+x
x
0
408
2=
−+
xx
3.48
, –11
.5
11
.48
1 2 3 1
B1
cao
M1
)8(+x
x=4
0 A
1
M1
240
14
88
2−
××
−±
−=
x
M1
222
48±
−=
x
A1
3.4
8, –
11.5
B
1 ft
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
71
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
23
42
cos
46
24
62
2×
××
−+
42
cos
4852
− =
16.
329
4.04
3
M1
42co
s4
62
46
22
××
×−
+
M1
corr
ect u
se o
f Bid
mas
A
1 4.
04-4
.045
24 (a
)
(b)
(c)
2 )2
3(−
n =
4
129
2+
−n
n
= 2
)24
3(32
−+
−n
n
22
2y
xyx
++
3n –
2
2
)24
3(32
−+
−n
n
1 2 3
B1
cao
M1
for 3
n +
k, o
e, w
here
k is
a c
onst
ant
A1
k =
2−
B
1 fo
r sig
ht o
f 2 )2
3(−
n
M1
corr
ect e
xpan
sion
of
2 )23(
−n
A
1 fo
r a fu
ll ar
gum
ent w
hich
pro
ves S
ophi
e’s
stat
emen
t
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
72
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
73
GCSE Mathematics
2381 (Modular)
Mock papers
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
74
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
75
GCSE Mathematics mock papers
2381 (Modular)
Unit 2
Number, Algebra and Shape, Space and Measures 1
Stage 1
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
76
GCSE Mathematics 2381 (Modular)
Unit 2 Stage 1 Foundation mark scheme Question 1 2 3 4 5 6 7 8 9 10Answer C B E D E C A C E B Question 11 12 13 14 15 16 17 18 19 20Answer D E B E A B C D C D Question 21 22 23 24 25 Answer B C E A D
GCSE Mathematics 2381 (Modular)
Unit 2 Stage 1 Higher mark scheme Question 1 2 3 4 5 6 7 8 9 10Answer D D B C D E A E D E Question 11 12 13 14 15 16 17 18 19 20Answer C D C E E A A C D B Question 21 22 23 24 25 Answer C E D D B
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
77
GCSE Mathematics mock papers
2381 (Modular)
Unit 2
Number, Algebra and Shape, Space and Measures 1
Stage 2
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
78
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
79
GCS
E M
athe
mat
ics
2381
Uni
t 2
Stag
e 2
Foun
dati
on m
ark
sche
me
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1(
a)
(b)
25
3 2
B1
cao
B1
for 3
(acc
ept −
3 an
d ±3
) 2(
a)
(b)
(
c)
4m
5g
h 2e
f
1 1 1
B1
for 5
m (
acce
pt m
5, 5
×m, m
×5)
B1
cao
B1
cao
3(a)
3(
b)
(4 ×
3) ×
2
Or (
4 ×
3) +
(4 ×
3)
12
24
1 2 B
1 ca
o M
1 fo
r (4
× 3)
× 2
or (
4 ×
3) +
(4 ×
3)
A1
cao
4
20 −
(1.1
5 ×
6 +
0.90
× 8
) =
20 −
(6.9
0 +
7.20
) =
20 −
14.
10
5.90
4
M1
for e
ither
1.1
5 ×
6 or
0.9
0 ×
8 or
6.9
(0) o
r 7.1
(0) s
een
A1
for 1
4.10
M
1 fo
r 20 −
“14.
10”
A1
cao
5 i
ii
45
R
easo
n 2
B1
cao
B1
for “
base
ang
les o
f an
isos
cele
s tria
ngle
are
equ
al”
6 12
.50
× 1.
48 =
18.
50
18.5
0 −
18
Or
18 ÷
1.4
8 =
12.1
6(21
….)
12.5
0 −
12.1
6
Che
aper
in
Spai
n by
€0
.50
Che
aper
in
Spai
n by
34p
3 M
1 fo
r 12.
50 ×
1.4
8 or
18
÷ 1.
48
M1
(dep
) for
“18
.50”
− 1
8 or
12.
50 −
“12
.16”
A
1 fo
r Che
aper
in S
pain
by
€0.5
0 or
Che
aper
in S
pain
by
34p
7 35
× 4
14
0 2
M1
for 3
5 ×
4 A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
80
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
8
21 ×
(8 −
2) ×
5 +
2 ×
5
or 21 ×
(8 +
2) ×
5
25
2 M
1 fo
r 21
× (8
− 2
) × 5
+ 2
× 5
or
M1
for c
orre
ct su
bstit
utio
n of
21 ×
(8 +
2) ×
5
A1
cao
9(a)
7 5
3
1
−1
2
B2
for a
fully
cor
rect
tabl
e (B
1 fo
r 1 o
r 2 c
orre
ct e
ntrie
s in
the
tabl
e)
(b)
Stra
ight
line
fr
om
(−1,
7) t
o
(3, −
1)
2 B
2 fo
r a st
raig
ht li
ne fr
om (−
1, 7
) to
(3, −
1)
(B1
ft fr
om (a
) for
at l
east
4 ‘c
orre
ct’ p
lots
or f
or a
sing
le
line
of g
radi
ent −
2 or
for a
sing
le li
ne p
assi
ng th
roug
h (0
, 5)
with
a n
egat
ive
grad
ient
)
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
81
GCS
E M
athe
mat
ics
2381
(M
odul
ar)
Uni
t 2
Stag
e 2
Hig
her
mar
k sc
hem
e N
umbe
r W
orki
ng
Ans
wer
M
ark
Not
es
1(a)
(
b)
57
116
1 1 B
1 ca
o B
1 ca
o 2
i
ii 18
0 −
(90
+ 58
) 32
R
easo
ns
3 B
1 fo
r 32
B1
for “
angl
es in
a tr
iang
le =
180
” B
1 fo
r “co
rres
pond
ing
angl
es”
oe
3 x
× 40
+ y
× 2
5
40x
+ 25
y 2
B2
for 4
0x +
25y
oe
(B1
for 4
0x o
r 25
y)
4 16
0 ÷
(8 ×
5)
4 2
M1
for
160
÷ 8
(or 2
0 se
en) 1
60 ÷
5 (o
r 32
seen
) or
8 ×
5 (o
r 40
seen
) A
1 ca
o 5(
a)
7
5
3
1 −
1 2
B2
for a
fully
cor
rect
tabl
e (B
1 fo
r 1 o
r 2 c
orre
ct e
ntrie
s in
the
tabl
e)
(b)
Stra
ight
line
fr
om
(−1,
7) t
o (3
, −1)
2 B
2 fo
r a st
raig
ht li
ne fr
om (−
1, 7
) to
(3, −
1)
(B1
ft fr
om (a
) for
at l
east
4 ‘c
orre
ct’ p
lots
or f
or a
sing
le li
ne
of g
radi
ent −
2 or
for a
sing
le li
ne p
assi
ng th
roug
h (0
, 5) w
ith
a ne
gativ
e gr
adie
nt)
6 3.
8 ÷
5 ×
108 ÷
103
= 0.
76 ×
105
7.6
× 10
4 2
B2
for 3
.8 ×
105
(B1
for 3
80 0
00 0
00 a
nd 5
000
seen
or 7
6 00
0 or
7.6
× 1
0n whe
re n
≠ 4
) 7
360 −
(90
+ 90
+ 5
0)
130
3 B
1 fo
r ide
ntify
ing
a 90
o ang
le a
t S o
r T
M1
for 3
60 −
(90
+ 90
+ 5
0) o
e A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
82
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
8(
a)
(b)
2(
4)(
4)(
5)x
xx
x++
−
(y −
1)(
y +
1)
25x
x−
1 3 B
1 ca
o B
1 fo
r 2x(
x +
4) o
r (x
+ 4)
(x −
5)
M1
for c
ance
lling
A
1 ca
o 9
x =
0.0
• n
10x
= 0.
• n
100x
= n
. • n
90x
= n.
• n −
0. • n=
n
Proo
f 3
B1
for e
ither
10x
= 0
. • n
or 1
00x
= n.
• n
M1
for 1
00x −
10x
= n
. • n −
0. • n
= n
A1
for c
ompl
etin
g th
e pr
oof
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
83
GCSE Mathematics mock papers
2381 (Modular)
Unit 3
Number, Algebra and Shape, Space and Measures 2
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
84
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
85
GCS
E M
athe
mat
ics
2381
Uni
t 3
Foun
dati
on m
ark
sche
mes
Sect
ion
A
Num
ber
Wor
king
A
nsw
er
Mar
kN
otes
1
(a)
(b)
(c)
273
– 12
1 7.
50 +
2 ×
4.2
0 20
– “
15.9
0”
152
4.10
20 1
0
2 3 2
M1
for 2
73 –
121
A
1 ca
o M
1 fo
r 7.5
0 +
2 ×
4.20
M
1 fo
r 20
– “1
5.90
” A
1 ca
o M
1 fo
r evi
denc
e of
add
ing
1 ho
ur 4
0 m
inut
es to
18
30
A1
cao
2 (a
)
(b)
(c
)
C
E B
and
D
1 1 2
B1
cao
B1
cao
B1
for B
B
1 fo
r D
3(a)
(b)
(c
)
47 10
0
52%
25
%
1 1 1
B1
cao
B1
cao
B1
cao
4 (a
)
(b)
(c
)
7.
2 65
o AB
and
DC
m
arke
d
1 1 1
B1
cao
B1
cao
B1
for a
cor
rect
pai
r 5(
a) i
ii
(b
)
(c)
97
3 79
5 K
amlo
op
Van
couv
er
2 1 1
B1
cao
B1
cao
B1
cao
B1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
86
Num
ber
Wor
king
A
nsw
er
Mar
kN
otes
6
(a)
(b
)
(c)
Is
osce
les
A B
and
D
1 1 1
B1
cao
B1
cao
B1
cao
7 (a
)
(b)
0.
064
2500
0 1 2
B1
cao
M1
for 5
× 5
or
10 ×
10 ×
10
A1
cao
8 (a
)
(b)
3 5
1 1 B
1 ca
o B
1 ca
o 9
24 ÷
6 ×
3
6 18
1 2 B
1 ca
o M
1 fo
r 24 ÷
4 or
6
A1
cao
10
33 –
13
= 20
20
÷ 5
4
2 M
1 fo
r 20
seen
A
1 ca
o 11
3 ×
6 –
8
10
2 M
1 fo
r 3 ×
6 –
8
A1
cao
12
N
et
2 B
2 fo
r cor
rect
net
(B
1 fo
r 3 re
ctan
gles
or t
wo
right
ang
led
trian
gles
with
in a
net
) 13
(a)
(
b)
1
: 5
1 3
1 1 B
1 ca
o B
1 ca
o
14
C
orre
ct
rota
tion
2 B
2 fo
r cor
rect
rota
tion
(B1
for t
riang
le o
f cor
rect
orie
ntat
ion
but w
rong
pos
ition
) 15
Dia
gram
3
B1
for b
earin
g of
140
o ±2o fr
om B
lack
port
B1
for b
earin
g of
200
o ±2o fr
om C
lanc
y B
ay
B1
for ×
with
in g
uide
lines
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
87
Num
ber
Wor
king
A
nsw
er
Mar
kN
otes
16
3y =
7 –
5x
y =
357
x−
y
= 35
7x
−
2 M
1 fo
r 3y
= 7
– 5x
A
1 ca
o
17
2035
010
0×
70
2
M1
for
2035
010
0×
oe
A1
cao
18
360 ÷
40
9 2
M1
for 3
60 ÷
40
A1
cao
19 (a
)
(b)
(c)
3 ×
16 o
r 16
÷ (2
0 ÷
60)
16
48
Dia
gram
1 2 2
B1
cao
M1
for 3
× 1
6 A
1 ca
o M
1 fo
r stra
ight
line
with
neg
ativ
e gr
adie
nt
A1
for l
ine
star
ting
at (5
0,16
) and
fini
shin
g at
(65,
0)
20 (a
)
(b)
2 2
B2
(B1
for o
ne sq
uare
mis
sing
or e
xtra
) B
2 (B
1 fo
r one
squa
re m
issi
ng o
r ext
ra)
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
88
Sect
ion
B N
umbe
r W
orki
ng
Ans
wer
M
ark
Not
es
1 (a
)
(b)
2
lines
of
sym
met
ry
Sh
ape
refle
cted
2 2
B2
for b
oth
lines
of s
ymm
etry
cor
rect
(B
1 fo
r 1 li
ne c
orre
ct)
B2
for f
ully
cor
rect
refle
ctio
n (B
1 fo
r any
line
cor
rect
ly re
flect
ed)
2 3
× 5.
65
5.40
÷ 4
7.
20 +
16.
95 +
5.4
0
16.9
5,
1.35
, 29
.55
3 B
1 fo
r 16.
95
B1
for 1
.35
B1
ft fo
r 29.
55
3 (a
)
(b)
C
ylin
der
Sphe
re
2 B
1 ca
o B
1 ca
o 4
50 350
1 7
2
M1
for
50 350
oe
A1
cao
5 (
a) i
ii
(b)
i
ii
(
c)
3 –1
1 3 2 –3
5 B
1 ca
o B
1 ca
o B
1 fo
r 3 o
r –3
B1
for 2
or –
2 B
1 ca
o
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
89
Num
ber
Wor
king
A
nsw
er
Mar
kN
otes
6
(a)
(b
)
3810
– 3
540
= 27
0 27
0 ×
36 =
972
0 37
.60 ÷
40
97.2
0 94
p or
£0.
94
4 3
M1
for 3
810
– 35
40 (=
270)
M
1 fo
r “27
0” ×
36
A1
for “
9720
” ÷
100
A1
for 9
7.20
M
1 fo
r 37.
60 ÷
4
A1
for d
igits
94
A1
for c
orre
ct u
nits
with
ans
wer
7
(a)
(b)
(c)
6.
5 cm
C
ircle
13
cm
1 1 1
B1
for 6
.3 –
6.7
B
1 fo
r circ
le d
raw
n w
ithin
gui
delin
es
B1
ft fr
om (a
) or
12.6
– 1
3.4
8 84
÷ 9
(=9.
3333
3)
“9.3
333”
× 6
56
3
M1
for 8
4 ÷
9 M
1 fo
r “9.
3333
” ×
3 A
1 ca
o 9
2070
0(
140)
100×
=
700
+ 14
0
840
3 M
1 fo
r 20
700
(14
0)10
0×
=oe
M1
for 7
00 +
“14
0”
A1
cao
10 i
ii
180
– 34
(=14
6)
“146
”÷ 2
73
R
easo
n
3 M
1 fo
r (18
0 –
34) ÷
2
A1
cao
B1
for ‘
angl
es in
a tr
iang
le a
dd to
180
o and
isos
cele
s tria
ngle
’ 11
1.5×
40 +
20
80
2
M1
for 1
.5 ×
40
+ 20
A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
90
Num
ber
Wor
king
A
nsw
er
Mar
kN
otes
12
(a)
(
b)
(
c)
10
11
4.
5
3 B
1 ca
o B
1 ca
o B
1 ca
o 13
Enla
rgem
ent
2 B
2 fo
r cor
rect
ly e
nlar
ged
shap
e (B
1 fo
r any
two
lines
cor
rect
leng
th)
14 (
a)
(b)
(c)
4y =
9 –
2
4w +
3 =
2w
+ 1
0 4w
– 2
w =
10
– 3
2w =
7
6.5
7 4 o
e
3.5
oe
1 2 3
B1
cao
M1
for 4
y =
9 –
2 A
1
M1
for 4
w +
3 =
2w
+ 1
0
M1
for 4
w –
2w
= 1
0 –
3 A
1
15
3 +
5 =
8 24
.80 ÷
“8”
“3.1
0” ×
2
6.20
3
M1
for 2
4.80
÷ (3
+5) (
=3.1
0)
M1
for
3.10
× 5
or
3.10
× 3
or
3.10
× 2
A
1 ca
o 16
π ×
52 78
.5 c
m2
3 M
1 fo
r π ×
52
A1
cao
B1
for c
m2
17 (a
) i
ii
(b)
x7 y4
Expl
anat
ion
2 1
B1
cao
B1
cao
B1
for ‘
no e
qual
s sig
n’ o
r ‘it
is a
n ex
pres
sion
’ oe
18
AC2 =
62 +
102
36
100
+
11.7
3
M1
for 6
2 + 1
02 M
1 fo
r 36
100
+
A1
cao
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
91
GCS
E M
athe
mat
ics
2381
Uni
t 3
Hig
her
mar
k sc
hem
es
Sect
ion
A
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
1
(a)
(b
)
(c)
35÷7
= 5
5
× 3
= 15
3
÷ 8
91
15
0.37
5
1 2 2
B1
M1
for 3
5÷7
or 5
seen
A
1 ca
o M
1 fo
r a v
alid
atte
mpt
to d
ivid
e 3
by 8
or 0
.3…
seen
A
1 ca
o 2
2 +
3 =
5
= 5
2820
7+
5
2827
3 M
1 fo
r com
mon
den
omin
ator
of 2
8
M1
dep
for o
ne n
umer
ator
cor
rect
or
2827 se
en
A1
cao
3(a)
(
b)
5x −
3x
= −7
−2
2x
= −9
x =
−4.
5 y −
3 =
11 ×
4
y −
3 =
44
−4.5
47
3 2
M1
for 5
x −
3x =
−7 −2
oe
M
1 fo
r “co
rrec
t sim
plifi
catio
n”
A1
for −
4.5
oe
M1
y− 3
= 1
1 ×
4 A
1 ca
o
4 24
÷ 6
= 4
4
× 4
16
2 M
1 fo
r 24
÷ 6
or 4
seen
A
1 ca
o
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
92
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
5
(a)
(b
)
(c)
“16”
÷ (2
0 ÷
60)
16 48
Line
to 6
5
1 2 2
B1
M1
for “
16”
÷ “t
ime”
A
1 ca
o
B2
for
stra
ight
line
from
(50,
16)
to (6
5, 0
) (B
1 fo
r st
raig
ht li
ne fr
om (5
0,16
) to
time
axis
)
6
C
orre
ct P
3
B1
for l
ine
140°
from
Bla
ckpo
rt ±2
° B
1 fo
r lin
e 20
0° fr
om C
lanc
y B
ay ±
2°
B1
for c
orre
ct p
ositi
on
7
3y =
7 −
5x
357
x−
2
M1
for 3
y =
7 −
5x o
e
A1
for
357
x−
oe
8 (a
)
(b)
x ≥ −1
−2, −
1, 0
, 1, 2
2 2
B2
(B1
for
x ≤ −1
or
x >
−1)
B
2 (B
1 fo
r 1 o
mis
sion
or 1
ext
ra)
9 (a
)
(b)
915
721
1 1 B
1 B
1 10
(a)
(b
)
2 2
B2
(B1
for o
ne sq
uare
mis
sing
or e
xtra
) B
2 (B
1 fo
r one
squa
re m
issi
ng o
r ext
ra)
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
93
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
11
rota
tion
180°
ce
ntre
(0, 0
) 3
M1
for r
otat
ion
or 2
cor
rect
refle
ctio
ns o
n di
agra
m (i
gnor
e la
bels
) M
1 (d
ep) f
or 1
80° o
r cor
rect
cen
tre
A1
cao
12
(i)
(ii)
(x +
11)(
x −
3)
3
or −1
1
3 B
2 fo
r (x
+11)
(x −
3)
(B1
for (
x ±1
1)(x
± 3
) B
1 f.
13
34
re
ason
2
B1
for 3
4 B
1 fo
r ang
le t
cent
re =
2 ×
ang
le a
t circ
umfe
renc
e oe
14
expl
anat
ion
2 B
2 fo
r if n
= o
dd, t
hen
n3 = o
dd, a
nd o
dd +
odd
= e
ven
if n
= ev
en, t
hen
n3 =ev
en, a
nd e
ven
+ ev
en =
eve
n oe
(B
1 fo
r les
s cle
ar e
xpla
natio
n or
subs
titut
ing
at le
ast 3
di
ffer
ent v
alue
s to
show
it is
true
) 15
(a)
(
b)
(
c)
−
53
4 y
= 6x
+ 5
2 1 2
B2
oe
(B1
for
53oe
or −
35 o
e)
B1
for 4
oe
M1
for 6
x+ c
or a
x +
5 A
1 ca
o 16
i ii
i 361
9
1 2
B1
M1
for 3
2
A1
cao
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
94
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
17
2
86+
×
22
=
22
82
6+
=2
42
6+
3
2+
2 3
M1
for ×
22
M1
for
22
82
6+
oe
A1
cao
(acc
ept p
= 3
, q =
2)
18
Let B
P =
x
AP
= 4x
AB
= 5
x
B
C =
3x
AC2 =
(5x)
2 − (3
x)2
AC =
4x
sin
B =
xx 54 =
54
Proo
f 4
M1
for A
B =
5‘x’
or
BC =
3‘x
’
M1
for c
orre
ct u
se o
f Pyt
hago
ras
A1
for A
C =
4‘x
’
B1
for s
in B
=
xx 54
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
95
Sect
ion
B N
umbe
r W
orki
ng
Ans
wer
M
ark
Not
es
1
Ref
lect
ion
2
B2
(B
1 fo
r 2 li
nes i
n co
rrec
t pos
ition
)
2 24
.8 ÷
8 =
3.1
3
× 3.
1 =
9.3
5
× 3.
1 =
15.5
15
.5 −
9.3
6.20
3
M1
for 2
4.8
÷ 8
or
3.1
seen
A
1 fo
r 9.3
or
15.5
B
1 fo
r 6.2
0
3 π(
5)2
78.5
cm2
3 M
1 fo
r π(5
)2 o
e A
1 fo
r ans
wer
that
roun
ds to
78.
5 B
1 (in
dep)
fo
r cm
2 4
C
= 5
a +
2f
3 B
3 fo
r C =
5a
+ 2f
oe
(B2
for 5
a +
2f
B1
for C
= a
n ex
pres
sion
in a
and
b
or 5
a oe
or 2
f oe
seen
) 5
120
20
61
2 M
1 fo
r con
verti
ng b
oth
to th
e sa
me
units
A
1 ca
o
6
Rot
atio
n 2
B2
for c
orre
ct ro
tatio
n (B
1 fo
r cor
rect
orie
ntat
ion
or 9
0° c
lock
wis
e ro
tatio
n)
7 (a
) i
ii
(b
)
x12
y4
reas
on
2 1
B1
B1
B1
for n
o eq
ual s
ign
or it
is a
n ex
pres
sion
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
96
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
8
x +
7 +
x +
7 +
2x −
1 =
27
4x +
13
= 27
4x
= 2
7 −
13 =
14
x =
3.5
Larg
est s
ide
= 3.
5 +
7
10
.5
4 M
1 fo
r x +
7 +
x +
7 +
2x −
1 =
27
oe
M1
for c
orre
ctly
rear
rang
ing
‘equ
atio
n’ w
ith x
term
s on
one
side
an
d re
st o
n ot
her s
ide
(acc
ept u
se o
f onl
y 2
side
s)
A1
for 3
.5 o
e B
1 ft
(dep
on
M1)
for
‘3.5
’ + 7
9 36
0 ÷
40
9 2
M1
for 3
60 ÷
40
or o
ther
val
id m
etho
d to
reac
h 9
A1
cao
10 (a
)
(b)
9,
3, 3
grap
h
2 2
B2
(B1
for 1
cor
rect
) M
1 fo
r plo
tting
at l
east
4 p
oint
s cor
rect
ly a
nd jo
inin
g w
ith a
cur
ve
or p
lotti
ng a
ll co
rrec
t poi
nts b
ut n
ot jo
ined
with
a c
urve
A
1 ca
o 11
4
… 1
24
5 …
245
4.
6 …
190
4.7
… 2
03
4.65
… 1
96
4.7
4 M
1 fo
r cor
rect
tria
l bet
wee
n 4
and
5 in
clus
ive
M1
for f
urth
er c
orre
ct tr
ial b
etw
een
4 an
d 5
excl
usiv
e M
1 fo
r tria
l of 4
.65
A1
cao
12 (a
)
(b)
ci
rcle
radi
us 3
cm
bi
sect
the
angl
e
1 2
B1
for c
ircle
radi
us 3
cm
± 0
.2 c
m
M1
for a
rc d
raw
n ce
ntre
O c
uttin
g O
A an
d O
B
or li
ne fr
om O
bis
ectin
g th
e an
gle
± 4°
A
1 fo
r acc
urat
e bi
sect
or ±
2°
= UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
97
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
13
(1
.05)
3 × 6
000
or
5÷10
0 ×
6000
= 3
00
Tota
l 630
0 5÷
100
× 63
00 =
315
To
tal 6
615
5÷10
0 ×
6615
= 3
30.7
5
6945
.75
3 B
1 fo
r (1.
05)3
M1
for (
‘1.0
5’)3 ×
600
0 A
1 ca
o or
M
1 fo
r 5÷1
00 ×
600
0 +
6000
or
630
0 se
en
M1
for 5
÷100
× ‘6
300’
+ ‘6
300’
and
5÷1
00 ×
‘661
5’ +
‘661
5’
A1
cao
14
35.
13...
03.2...
09.58
0−
=
35.13
...06.
578
43.3
0060
69
2 B
2 fo
r ans
wer
that
roun
ds to
43.
3 (B
1 fo
r 578
… o
r 580
.09.
. or 2
.03…
seen
)
15
2b
(3a
+ c)
bac2
3a2
3 B
1 B
1 B
1
16
100
÷ 80
× 7
.60
34.5
0 3
B1
for 8
0 or
0.8
seen
M
1 fo
r 100
÷ 8
0 ×
7.60
oe
A1
cao
17 (a
)
(b)
24.5
× 6
.5
23.5
÷ 6
.5
159.
25
3.
6153
8461
5
2 2
B2
cao
(B1
for 2
4.5
× x
or
6.5
× x
) (ac
cept
24.
4999
9 or
6.4
9999
oe)
B
2 fo
r 3.6
15 o
r bet
ter
(B1
for 2
3.5
÷ 6.
5 o
r 23
.5 ÷
6.4
9999
oe)
=
UG
0195
81 –
Moc
k pa
pers
mar
k sc
hem
es –
Ede
xcel
GC
SE in
Mat
hem
atic
s 254
0, 2
544,
138
0 an
d 23
81 –
Is
sue
1 –
Janu
ary
2008
©
Ede
xcel
Lim
ited
2008
98
Num
ber
Wor
king
A
nsw
er
Mar
k N
otes
18
A
rea
sect
or
= 8
0 ÷
360
× π(
6.2)
2
= 2
6.83
618…
A
rea
trian
gle
= 0
.5 ×
6.2
× 6
.2 ×
sin
80°
=
18.
928
…
26.8
36 −
18.
928
= 7.
908
7.91
5
M1
for
80 ÷
360
× π
(6.2
)2 o
r 26.
83…
seen
M
1 fo
r 0.
5 ×
6.2
× 6.
2 ×s
in 8
0°
or 1
8.92
… se
en
M1
for 2
6.83
… o
r 18.
92…
. see
n M
1 fo
r ‘ar
ea se
ctor
’ − ‘a
rea
trian
gle’
A
1 fo
r ans
wer
that
roun
ds to
7.9
1 19
4x
2 = 1
1x +
3
4x2 −
11x
− 3
= 0
(4
x +
1)(x
− 3
) = 0
x =
−41
or 3
y =
41
or 3
6
x =
−41
y =
36
x
= 3
y =
41
5 B
1 fo
r 4x2 =
11x
+ 3
oe
M
1 fo
r (4
x ±
1)(x
± 3
)
A1
for x
= −
41 o
r 3
M1
for s
ubst
itutio
n to
get
y
A1
for y
=
41 o
r 36
=
UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
99
Notes on marking principles 1 Types of mark
• M marks: method marks • A marks: accuracy marks • B marks: unconditional accuracy marks (independent of M marks)
2 Abbreviations cao – correct answer only ft – follow through isw – ignore subsequent working SC – special case oe – or equivalent (and appropriate) dep – dependent indep – independent
3 No working If no working is shown then correct answers normally score full marks If no working is shown then incorrect (even though nearly correct) answers score no marks.
4 With working If there is a wrong answer indicated on the answer line always check the working in the body of the script (and on any diagrams), and award any marks appropriate from the mark scheme. If it is clear from the working that the “correct” answer has been obtained from incorrect working, award 0 marks. Any case of suspected misread loses A (and B) marks on that part, but can gain the M marks. If working is crossed out and still legible, then it should be given any appropriate marks, as long as it has not been replaced by alternative work. If there is a choice of methods shown, then no marks should be awarded, unless the answer on the answer line makes clear the method that has been used. If there is no answer on the answer line then check the working for an obvious answer.
5 Follow through marks Follow through marks which involve a single stage calculation can be awarded without working since you can check the answer yourself, but if ambiguous do not award. Follow through marks which involve more than one stage of calculation can only be awarded on sight of the relevant working, even if it appears obvious that there is only one way you could get the answer given.
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UG019581 – Mock papers mark schemes – Edexcel GCSE in Mathematics 2540, 2544, 1380 and 2381 – Issue 1 – January 2008 © Edexcel Limited 2008
100
6 Ignoring subsequent work It is appropriate to ignore subsequent work when the additional work does not change the answer in a way that is inappropriate for the question: eg incorrect cancelling of a fraction that would otherwise be correct It is not appropriate to ignore subsequent work when the additional work essentially makes the answer incorrect, eg algebra. Transcription errors occur when candidates present a correct answer in working, and write it incorrectly on the answer line; mark the correct answer.
7 Probability Probability answers must be given as fractions, percentages or decimals. If a candidate gives a decimal equivalent to a probability, this should be written to at least 2 decimal places (unless tenths). Incorrect notation should lose the accuracy marks, but be awarded any implied method marks. If a probability answer is given on the answer line using both incorrect and correct notation, award the marks. If a probability fraction is given then cancelled incorrectly, ignore the incorrectly cancelled answer.
8 Linear equations Full marks can be gained if the solution alone is given on the answer line, or otherwise unambiguously indicated in working (without contradiction elsewhere). Where the correct solution only is shown substituted, but not identified as the solution, the accuracy mark is lost but any method marks can be awarded.
9 Parts of questions Unless allowed by the mark scheme, the marks allocated to one part of the question CANNOT be awarded in another.
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Further copies of this publication are available from Edexcel Publications, Adamsway, Mansfield, Notts, NG18 4FN Telephone 01623 467467 Fax 01623 450481 Email: [email protected] Publications Code UG019581 January 2008 For more information on Edexcel and BTEC qualifications please contact Customer Services on 0870 240 9800 or http://enquiries.edexcel.org.uk or visit our website: www.edexcel.org.uk Edexcel Limited. Registered in England and Wales No. 4496750 Registered Office: One90 High Holborn, London WC1V 7BH. VAT Reg No 780 0898 07
