KEY STAGE Mark schemes 3 - satspapers.orgsatspapers.org/KS3 Tests/Key Stage 3 SATs - Y7 8...
16
National curriculum assessments 2007 Ma KEY STAGE 3 Mathematics tests Mark schemes for Mental mathematics Tests A, B and C LOWER TIER & HIGHER TIERS satspapers.org
Transcript of KEY STAGE Mark schemes 3 - satspapers.orgsatspapers.org/KS3 Tests/Key Stage 3 SATs - Y7 8...
-
National curriculum assessments
2007
Ma
KEY STAGE
3
Mathematics tests
Mark schemes for Mental mathematicsTests A, B and CLOWER TIER &
HIGHER TIERS
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QCA wishes to make its publications widely accessible. Please contact us if you have any specific accessibility requirements.
First published 2007
© Qualifications and Curriculum Authority 2007
ISBN 1-85838-875-9
Reproduction, storage, adaptation or translation, in any form or by any means, of this publication is prohibited without prior written permission of the publisher, unless within the terms of licences issued by the Copyright Licensing Agency. Excerpts may be reproduced for the purpose of research, private study, criticism or review, or by educational institutions solely for educational purposes, without permission, providingfull acknowledgement is given.
Printed in Great Britain by the Qualifications and Curriculum Authority under the authority and superintendence of the Controller of Her Majesty’s Stationery Office and Queen’s Printer of Acts of Parliament.
The Qualifications and Curriculum Authority is an exempt charity under Schedule 2 of the Charities Act 1993.
Qualifications and Curriculum Authority83 PiccadillyLondon W1J 8QAwww.qca.org.uk
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3
Introduction
This booklet contains the mark schemes for the lower tier test (test C) and the higher tiers tests (tests A and B). The pupil answer sheets will be marked by external markers who will follow the mark schemes in this booklet, which are provided here for teachers’ reference.
General guidance for markers
Please note that pupils should not be penalised if they record any information given in the question or show their working. Ignore any annotation, even if in the answer space, and mark only the answer. Accept an unambiguous answer written in the stimulus box, or elsewhere on the page, but clearly attributable to the relevant question.
General guidance for marking the written tests also applies to marking the mental mathematics tests. In addition, please apply the following principles unless specifi c instructions to the contrary are given in the mark scheme:
accept responses in words and/or fi gures,eg 7 point 3, 4 hundred
accept any unambiguous indication of the correct response from a given list,eg circling, ticking, underlining
accept unambiguous misspellings
accept units that have been correctly converted to a different unit provided the new unit is indicated. Where units have been given on the answer sheet, do not penalise pupils for writing the units again
accept responses with commas as spacers,eg 50,000
but do not accept a point used as a spacer, eg 50.000
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4
Low
er t
ier
test
C q
ues
tio
ns
‘No
w w
e ar
e re
ady
to s
tart
th
e te
st.
For
the
fi rs
t g
rou
p o
f q
ues
tio
ns
you
will
hav
e 5
seco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
1W
hat
is s
even
teen
po
un
ds
eig
hty
-fi v
e p
ence
ro
un
ded
to
th
e n
eare
st p
ou
nd
?
2W
hat
nu
mb
er m
ult
iplie
d b
y fi
ve m
akes
fo
rty?
3Lo
ok
at t
he
list
of
nu
mb
ers
on
yo
ur
answ
er s
hee
t.W
hat
nu
mb
er is
th
e m
od
e?
4W
rite
in fi
gu
res
the
nu
mb
er t
wo
th
ou
san
d a
nd
tw
enty
.
5H
ow
man
y ce
nti
met
res
are
seve
nty
mill
imet
res?
6W
rite
a n
um
ber
th
at is
mo
re t
han
no
ug
ht
po
int
on
e b
ut
less
th
an
no
ug
ht
po
int
two
.
7I a
m t
hin
kin
g o
f a
nu
mb
er. I
cal
l it
n. I
add
eig
ht
to m
y n
um
ber
.W
rite
an
exp
ress
ion
to
sh
ow
th
e re
sult
.
8Lo
ok
at t
he
frac
tio
n.
Wri
te d
ow
n a
dif
fere
nt
frac
tio
n t
hat
is e
qu
ival
ent
to f
ou
r-fi
fth
s.
‘Fo
r th
e n
ext
gro
up
of
qu
esti
on
s yo
u w
ill h
ave
10 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
9I s
tart
at
fort
y an
d c
ou
nt
do
wn
in e
qu
al s
tep
s.Fo
rty,
th
irty
-sev
en, t
hir
ty-f
ou
r …
Wh
at a
re t
he
nex
t tw
o n
um
ber
s?
10Th
e b
ar c
har
t sh
ow
s th
e ey
e co
lou
rs o
f so
me
pu
pils
.H
ow
man
y o
f th
e p
up
ils h
ave
blu
e ey
es?
11Sh
ade
on
e q
uar
ter
of
the
squ
are
on
yo
ur
answ
er s
hee
t.
12I f
ace
no
rth
. I t
urn
th
rou
gh
hal
f a
turn
.W
hat
dir
ecti
on
am
I fa
cin
g a
fter
th
e tu
rn?
13A
dd
th
e n
um
ber
s o
n y
ou
r an
swer
sh
eet.
14Lo
ok
at y
ou
r an
swer
sh
eet.
Esti
mat
e th
e le
ng
th o
f th
e lin
e in
cen
tim
etre
s.
15W
hat
is h
alf
of
twen
ty-t
hre
e?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
2007
Men
tal m
athe
mat
ics
Test
C
Firs
t na
me
Last
nam
e
Sch
oo
l
Tota
lm
arks
Pra
ctic
e q
uest
ion
195
Tim
e: 5
sec
ond
s
1£
£17
.85
1
25
4
02
37
58
45
3
44
5cm
70m
m5
60.
1
0.2
6
84 5
8
Tim
e: 5
sec
ond
s co
ntin
ued
7n
7
12N
orth
12
Tim
e: 1
0 se
cond
s
940
, 3
7,
34,
,
9
11
11
10
Bro
wn
02
46
8
Blu
e
Num
ber
of p
upils
pup
ils10
14
cm14
1354
6613
1515
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5
16In
a s
urv
ey, p
eop
le w
ere
aske
d if
th
ey w
ou
ld p
refe
r a
cat
or
a d
og
fo
r a
pet
.Th
e p
icto
gra
m s
ho
ws
the
resu
lts.
Six
peo
ple
sai
d c
at. H
ow
man
y p
eop
le s
aid
do
g?
17I h
ave
a b
ag o
f tw
enty
pen
ce c
oin
s. A
lto
get
her
I h
ave
seve
n p
ou
nd
s.
Ho
w m
any
twen
ty p
ence
co
ins
do
I h
ave?
18Lo
ok
at t
he
equ
atio
n. W
hat
is t
he
valu
e o
f y
wh
en x
is t
wel
ve?
19Lo
ok
at t
he
shap
e d
raw
n o
n t
he
squ
are
gri
d.
Ho
w m
any
lines
of
sym
met
ry d
oes
it h
ave?
20M
agaz
ines
co
st o
ne
po
un
d a
nd
fo
rty
pen
ce e
ach
. I b
uy
two
of
the
mag
azin
es.
Ho
w m
uch
ch
ang
e d
o I
get
fro
m a
ten
po
un
d n
ote
?
21A
t su
nri
se t
he
tem
per
atu
re w
as m
inu
s th
ree
deg
rees
Cel
siu
s.B
y m
idd
ay, t
he
tem
per
atu
re h
ad in
crea
sed
by
twel
ve d
egre
es.
Wh
at w
as t
he
tem
per
atu
re a
t m
idd
ay?
22Lo
ok
at t
he
rect
ang
le. W
hat
is it
s ar
ea?
23Th
ere
are
thre
e re
d b
alls
an
d t
wo
blu
e b
alls
in a
bag
. I a
m g
oin
g t
o t
ake
a b
all o
ut
of
the
bag
at
ran
do
m.
Wh
at is
th
e p
rob
abili
ty t
hat
th
e b
all w
ill b
e re
d?
24Th
e d
iag
ram
sh
ow
s a
line
insi
de
a sq
uar
e. W
hat
is t
he
size
of
ang
le k
?
‘Fo
r th
e n
ext
gro
up
of
qu
esti
on
s yo
u w
ill h
ave
15 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
25Lo
ok
at t
he
pri
ce li
st. I
bu
y o
ne
no
teb
oo
k, o
ne
rule
r an
d o
ne
pen
cil.
Alt
og
eth
er, h
ow
mu
ch d
o t
hey
co
st?
26Th
e n
um
ber
on
e is
a f
acto
r o
f b
oth
fi f
teen
an
d t
wen
ty-f
ou
r.W
hat
oth
er n
um
ber
is a
fac
tor
of
bo
th fi
fte
en a
nd
tw
enty
-fo
ur?
27Yo
ur
answ
er s
hee
t sh
ow
s th
e p
erce
nta
ges
of
pu
pils
bo
rn in
dif
fere
nt
seas
on
s fo
r cl
ass
A. T
he
per
cen
tag
e fo
r w
inte
r is
mis
sin
g.
Fill
in t
he
per
cen
tag
e o
f cl
ass
A t
hat
was
bo
rn in
win
ter.
28Lo
ok
at t
he
scal
e. A
bo
ut
wh
at v
alu
e is
th
e ar
row
po
inti
ng
to
?
29Yo
ur
answ
er s
hee
t sh
ow
s th
e an
swer
to
tw
enty
-eig
ht
mu
ltip
lied
by
sixt
een
. U
se t
his
info
rmat
ion
to
hel
p y
ou
wo
rk o
ut
the
answ
er t
o
twen
ty-e
igh
t m
ult
iplie
d b
y th
irty
-tw
o.
30Lo
ok
at t
he
gra
ph
on
yo
ur
answ
er s
hee
t.
Wri
te d
ow
n t
he
coo
rdin
ates
of
any
po
int
on
th
e lin
e m
arke
d A
.
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
24
°
65°
k
24
Tim
e: 1
0 se
cond
s co
ntin
ued
16C
at
Dog
peo
ple
16
17£
717
18y
= x
– 7
18
20£
£1.
4020
21° C
–3°
C21
233
red
2 b
lue
23
Tim
e: 1
5 se
cond
s
25N
oteb
ook
£1.
05
Rul
er65
p
Pen
cil
40p
£25
2615
2
426
22
9cm
3cm
cm2
22
28
0kg
1kg k
g28
2928
×16
=44
8
28×
32=
29
30
A
y
–3
3
3
x0
0
–3
(
,
)30
19
19
27S
prin
g30
%
Sum
mer
22%
Aut
umn
28%
Win
ter
%27
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Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
6
Key stage 3 mathematics 2007
Mental mathematics lower tier Test C
Test CMark scheme
Time: 5 seconds
1 £ 18 (.00)
3 5 Accept value indicated in list
4 2020 Do not accept responses given in words
5 7 cm Do not accept amended units
6 0.1 < answer < 0.2
Time: 5 seconds continued
7 n + 8 Do not accept unconventional notation,
eg 1 × n + 8
8 Any fraction except 45
that is equivalent to 45
,
eg 810
, 4050
Do not accept equivalent decimals
Time: 10 seconds
9 31 and 28 Accept pair in either order
10 5 pupils
11 Indicates any two smalltriangles, eg
12 South Accept any unambiguous indication of South,eg S
13 120
14 4 cm answer 5 cm
15 1112
Accept equivalent fractions or decimals
2 8 Accept embedded values,eg 8 × 5
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7
Time: 10 seconds continued
16 8 people
17 35
18 5
19 4
20 £ 7.20
21 9 °C
22 27 cm2
23 35
Accept equivalentprobabilities
24 25 °
Time: 15 seconds
25 £ 2.10
26 3
27 20 %
28 0.2 kg < answer < 0.4 kg
Accept equivalent fractions or decimals
29 896
30 Any pair of coordinates such thatx + y = –2,
eg (1, –3), (–1, –1)
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8
Hig
her
tie
rs t
est
A q
ues
tio
ns
‘No
w w
e ar
e re
ady
to s
tart
th
e te
st.
For
the
fi rs
t g
rou
p o
f q
ues
tio
ns
you
will
hav
e 5
seco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
1H
ow
man
y d
ays
are
ther
e in
ten
wee
ks a
nd
tw
o d
ays?
2Lo
ok
at t
he
nu
mb
er o
n y
ou
r an
swer
sh
eet.
Div
ide
it b
y o
ne
hu
nd
red
.
3Lo
ok
at t
he
nu
mb
ers
on
yo
ur
answ
er s
hee
t. A
dd
th
em.
4Lo
ok
at t
he
typ
es o
f tr
ian
gle
s o
n y
ou
r an
swer
sh
eet.
Put
a ri
ng
ro
un
d t
he
on
e th
at m
ust
hav
e th
ree
equ
al a
ng
les.
5W
rite
th
e fr
acti
on
fi v
e-tw
enti
eth
s as
sim
ply
as
po
ssib
le.
6R
ou
nd
no
ug
ht
po
int
thre
e fo
ur
eig
ht
to t
wo
dec
imal
pla
ces.
7D
ivid
e m
inu
s o
ne
hu
nd
red
by
min
us
ten
.
8Yo
ur
answ
er s
hee
t sh
ow
s th
e ru
le f
or
the
nth
ter
m o
f a
seq
uen
ce.
Wh
at is
th
e fi
fth
ter
m o
f th
is s
equ
ence
?
9Fo
ur
to t
he
po
wer
nin
e d
ivid
ed b
y fo
ur
to t
he
po
wer
th
ree
is
fou
r to
th
e p
ow
er w
hat
?
‘Fo
r th
e n
ext
gro
up
of
qu
esti
on
s yo
u w
ill h
ave
10 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
10Lo
ok
at t
he
tria
ng
le d
raw
n o
n t
he
gri
d.
Wh
at a
re t
he
coo
rdin
ates
of
the
po
int
mar
ked
A?
11A
bo
ok
has
on
e h
un
dre
d a
nd
tw
enty
pag
es. I
hav
e re
ad a
qu
arte
r o
f th
e p
ages
.H
ow
man
y p
ages
hav
e I r
ead
?
12Lo
ok
at t
he
nu
mb
er o
n y
ou
r an
swer
sh
eet.
Ho
w m
uch
mu
st y
ou
ad
d t
o it
to
mak
e th
ree
tho
usa
nd
?
13Th
e to
tal o
f fo
ur
nu
mb
ers
is e
igh
ty.
Wh
at is
th
eir
mea
n?
14Lo
ok
at t
he
dia
gra
m.
Wri
te d
ow
n t
he
size
of
ang
le m
.
15A
bo
ok
cost
s fi
ve p
ou
nd
s an
d n
inet
y-n
ine
pen
ce.
Wh
at is
th
e to
tal c
ost
of
thre
e o
f th
ese
bo
oks
?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
2007
Men
tal m
athe
mat
ics
Test
A
Firs
t na
me
Last
nam
e
Sch
oo
l
Tota
lm
arks
Pra
ctic
e q
uest
ion
5
Tim
e: 5
sec
ond
s
1d
ays
1
284
002
3–
4
7
3
4Is
osce
les
Sca
lene
Eq
uila
tera
lR
ight
-ang
led
4
55 20
5
60.
348
6
Tim
e: 5
sec
ond
s co
ntin
ued
7–
100
–
107
8(
+ 3
)8
949
439
Tim
e: 1
0 se
cond
s
10
0012345
12
34
5
B C
A
(
,
)10
11p
ages
120
11
1220
9212
1380
13
14
°
m 230°
14
15£
£5.
9915
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-
9
16W
hat
is t
wen
ty p
er c
ent
of
seve
n h
un
dre
d?
17Lo
ok
at t
he
iso
scel
es t
rian
gle
. Wh
at is
th
e si
ze o
f an
gle
b?
18Lo
ok
at t
he
equ
atio
n.
Wh
en x
is t
hre
e, w
hat
is t
he
valu
e o
f y?
19Th
e ra
tio
of
men
to
wo
men
in a
ch
ess
clu
b is
th
ree
to t
wo
.Th
ere
are
fi ft
y p
eop
le in
th
e ch
ess
clu
b. H
ow
man
y ar
e w
om
en?
20M
ult
iply
tw
o x
by
fi ve
y. W
rite
yo
ur
answ
er a
s si
mp
ly a
s p
oss
ible
.
21W
rite
an
ap
pro
xim
ate
answ
er t
o t
he
div
isio
n o
n y
ou
r an
swer
sh
eet.
22Lo
ok
at t
he
ineq
ual
ity.
Ho
w m
any
inte
ger
so
luti
on
s ar
e th
ere?
23A
rac
ing
pig
eon
can
fl y
at
a sp
eed
of
nin
ety
kilo
met
res
per
ho
ur.
At
this
sp
eed
, ho
w f
ar w
ou
ld it
fl y
in o
ne
min
ute
?
‘Fo
r th
e n
ext
gro
up
of
qu
esti
on
s yo
u w
ill h
ave
15 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
24Lo
ok
at t
he
gra
ph
.B
y h
ow
mu
ch d
id t
he
tem
per
atu
re f
all b
etw
een
tw
o p
m a
nd
fi v
e p
m?
25Lo
ok
at t
he
rect
ang
le w
ith
len
gth
six
cen
tim
etre
s.It
s p
erim
eter
is t
wen
ty c
enti
met
res.
Wh
at is
th
e w
idth
of
the
rect
ang
le?
26Lo
ok
at t
he
equ
atio
n.
Wh
en b
is e
igh
t, w
hat
is t
he
valu
e o
f a
?
27O
ne
hu
nd
red
an
d t
wen
ty p
eop
le c
ho
se b
etw
een
th
ree
typ
es o
f o
ran
ge
juic
e.Th
e p
ie c
har
t sh
ow
s th
e re
sult
s. S
ixty
peo
ple
ch
ose
typ
e A
.A
pp
roxi
mat
ely,
ho
w m
any
peo
ple
ch
ose
typ
e B
?
28Lo
ok
at t
he
circ
le w
ith
a r
adiu
s o
f te
n. O
ne
of
the
valu
es b
elo
w is
its
area
.Pu
t a
rin
g r
ou
nd
th
e co
rrec
t ar
ea.
29I a
m g
oin
g t
o t
ake
a b
all a
t ra
nd
om
fro
m a
bag
.Th
e p
rob
abili
ty it
will
be
blu
e is
fi v
e-si
xth
s. T
wen
ty o
f th
e b
alls
are
blu
e.H
ow
man
y o
f th
e b
alls
are
no
t b
lue?
30A
ph
oto
gra
ph
is e
nla
rged
usi
ng
a s
cale
fac
tor
of
two
an
d a
hal
f.
Aft
er t
he
enla
rgem
ent,
it h
as a
len
gth
of
twen
ty-fi
ve
cen
tim
etre
s.W
hat
was
its
len
gth
bef
ore
th
e en
larg
emen
t?
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
202
x
5y
20
17
°
b
65°
17
18y
= x
2 +
218
2130
0959
921
225
< x
< 9
22
23km
90km
/h23
Tim
e: 1
5 se
cond
s
24
1205101520
12
34
5
Tim
e (p
m)
° C
° C24
Tim
e: 1
5 se
cond
s co
ntin
ued
25
6cm
wid
th
cm25
26b
= 2
a –
426
27
B
CA
60 p
eop
le
peo
ple
27
28
10
1020
25
3010
028
295 6
2
029
30
25cm
cm30
Tim
e: 1
0 se
cond
s co
ntin
ued
1670
016
193
: 2
50
19
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10
Time: 5 seconds
1 72 days
2 84
4 Isosceles Scalene
Equilateral Right-angled
Time: 10 seconds
10 ( 4 , 3 )
3 3
514
Do not accept equivalent fractions or decimals
6 0.35 Do not accept equivalent fractions or decimals
Time: 5 seconds continued
7 10
8 40 Do not accept incomplete processing,eg 5 × 8
11 30 pages
13 20
14 40 °
15 £ 17.97
Key stage 3 mathematics 2007
Mental mathematics higher tiers Test A
Test AMark scheme
12 908 Accept embedded values,eg 2092 + 908
9 6 Accept embedded values,eg 46
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11
20 10xy
Time: 10 seconds continued
16 140 Do not accept 140%
17 50 °
18 11
19 20
21 4.9 answer 5.1
22 3 Accept all integer solutions listed,
ie 6, 7, 8
Do not accept a range,eg 6 to 8
23 112 km
Accept equivalent fractions or decimals
Time: 15 seconds
24 10 °C
Time: 15 seconds continued
25 4 cm
27 18 answer 22 people
2810 20 25
30 100
29 4
30 10 cm
26 6 Accept embedded values,eg 2 × 6 – 4
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12
Hig
her
tie
rs t
est
B q
ues
tio
ns
‘No
w w
e ar
e re
ady
to s
tart
th
e te
st.
For
the
fi rs
t g
rou
p o
f q
ues
tio
ns
you
will
hav
e 5
seco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
1W
rite
in fi
gu
res
the
nu
mb
er s
ix t
ho
usa
nd
an
d t
en.
2W
hat
is fi
fty
-six
div
ided
by
eig
ht?
3Lo
ok
at t
he
exp
ress
ion
.W
rite
it a
s si
mp
ly a
s p
oss
ible
.
4W
hat
is s
even
sq
uar
ed?
5H
ow
man
y p
airs
of
par
alle
l sid
es m
ust
a t
rap
eziu
m h
ave?
6W
hat
nu
mb
er is
no
ug
ht
po
int
eig
ht
less
th
an n
ine?
7W
rite
th
e ra
tio
tw
elve
to
fo
ur
as s
imp
ly a
s p
oss
ible
.
8I t
hin
k o
f a
nu
mb
er. I
cal
l it
n.I s
qu
are
it a
nd
th
en s
ub
trac
t fo
ur.
Wri
te a
n e
xpre
ssio
n t
o s
ho
w t
he
resu
lt.
9M
ult
iply
min
us
fou
r b
y m
inu
s fi
ve.
10A
lin
e is
tw
enty
cen
tim
etre
s lo
ng
to
th
e n
eare
st c
enti
met
re.
Wh
at is
th
e m
inim
um
len
gth
it c
an b
e?
‘Fo
r th
e n
ext
gro
up
of
qu
esti
on
s yo
u w
ill h
ave
10 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
11A
tel
evis
ion
pro
gra
mm
e la
sts
for
an h
ou
r an
d a
qu
arte
r.H
ow
man
y m
inu
tes
is t
hat
?
12Fo
ur
hu
nd
red
pu
pils
wer
e as
ked
if t
hey
wan
ted
to
tak
e ar
t G
CSE
.Th
e p
ie c
har
t sh
ow
s th
e re
sult
s. H
ow
man
y p
up
ils s
aid
no
?
13Lo
ok
at t
he
rect
ang
le.
Wri
te d
ow
n it
s p
erim
eter
.
14Lo
ok
at t
he
tria
ng
le.
Wri
te d
ow
n t
he
size
of
ang
le c
.
15W
hat
nu
mb
er is
th
e ar
row
po
inti
ng
to
on
th
e n
um
ber
lin
e?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
2007
Men
tal m
athe
mat
ics
Test
B
Firs
t na
me
Last
nam
e
Sch
oo
l
Tota
lm
arks
Pra
ctic
e q
uest
ion
5
256
2
36b
– 4
b3
47
4
55
60.
8
9
6
712
: 4
7
Tim
e: 5
sec
ond
s co
ntin
ued
8n
8
9–
4
–
59
10cm
20cm
10
Tim
e: 1
0 se
cond
s
11m
inut
es11
12
No
Yes
Don
’tkn
ow
pup
ils12
136
cm
5cm
cm13
1430
°80
°
c
°14
15
3.2
3.3
15
Tim
e: 5
sec
ond
s
11
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-
13
16A
fai
r si
x-si
ded
dic
e is
nu
mb
ered
on
e to
six
. I a
m g
oin
g t
o r
oll
the
dic
e.W
hat
is t
he
pro
bab
ility
th
at I
will
ro
ll a
fou
r?
17A
cu
bo
id m
easu
res
thre
e ce
nti
met
res
by
fou
r ce
nti
met
res
by
fi ve
cen
tim
etre
s.W
hat
is it
s vo
lum
e?
18Lo
ok
at t
he
scat
ter
gra
ph
s.Pu
t a
rin
g r
ou
nd
th
e g
rap
h t
hat
sh
ow
s a
po
siti
ve c
orr
elat
ion
.
19W
rite
th
e fr
acti
on
th
ree-
fi ft
hs
as a
per
cen
tag
e.
20A
car
tra
vels
at
an a
vera
ge
spee
d o
f fi
fty
mile
s p
er h
ou
r.H
ow
far
do
es it
tra
vel i
n t
wo
an
d a
hal
f h
ou
rs?
21W
hat
is n
ou
gh
t p
oin
t fo
ur
mu
ltip
lied
by
no
ug
ht
po
int
two
?
‘Fo
r th
e n
ext
gro
up
of
qu
esti
on
s yo
u w
ill h
ave
15 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
22I h
ave
fi ft
y-fi
ve t
wen
ty p
ence
co
ins.
Ho
w m
any
po
un
ds
is t
his
?
23Lo
ok
at t
he
equ
atio
n.
Wh
en y
is f
ou
r, w
hat
is t
he
valu
e o
f x?
24Ei
gh
teen
mu
ltip
lied
by
twen
ty-t
wo
is t
hre
e h
un
dre
d a
nd
nin
ety-
six.
Wh
at is
th
ree
tho
usa
nd
nin
e h
un
dre
d a
nd
six
ty d
ivid
ed b
y ei
gh
teen
?
25Lo
ok
at t
he
qu
adri
late
ral.
Wh
at is
th
e si
ze o
f an
gle
d?
26Lo
ok
at t
he
exp
ress
ion
.W
hen
a is
no
ug
ht
po
int
thre
e an
d b
is n
ou
gh
t p
oin
t fo
ur,
wh
at is
th
e va
lue
of
the
exp
ress
ion
?
27I t
hin
k o
f a
nu
mb
er.
I sq
uar
e m
y n
um
ber
an
d g
et t
he
answ
er o
ne
tho
usa
nd
six
hu
nd
red
.W
hat
co
uld
my
nu
mb
er b
e?
28Lo
ok
at t
he
gra
ph
.Th
e eq
uat
ion
of
the
line
mar
ked
A is
y e
qu
als
x.
Wri
te d
ow
n t
he
equ
atio
n o
f th
e lin
e m
arke
d B
.
29Th
e m
ean
of
two
nu
mb
ers
is s
ix. O
ne
of
the
nu
mb
ers
is m
inu
s th
ree.
Wh
at is
th
e o
ther
nu
mb
er?
30Lo
ok
at y
ou
r an
swer
sh
eet.
Co
mp
lete
th
e fa
cto
risa
tio
n.
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
Tim
e: 1
0 se
cond
s co
ntin
ued
1616
173
cm b
y 4
cm b
y 5
cm cm
317
18
18
2050
mp
h
21 2
hou
rs
mile
s20
210.
4
0.2
21
Tim
e: 1
5 se
cond
s
22£
55
20
p22
23y
+ 1
1 =
3x
23
2511
8°
d
°25
2610
(a +
b)
0.3
0
.4
26
2716
0027
28A B
28
29–
329
306p
2 +
12p
= 6
p( +
)
30
2418
×22
=39
6
3960
÷18
=
24
19%
3 519
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-
Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
14
Key stage 3 mathematics 2007
Mental mathematics higher tiers Test B
Test BMark scheme
Time: 5 seconds
1 6010 Do not accept responses given in words
2 7
3 2b
4 49
5 1
6 8.2 Accept equivalent fractions or decimals
7 3 : 1 Do not accept equivalent ratios
Time: 5 seconds continued
8 n2 – 4 Do not accept unconventional notation,
eg n × n – 4
9 20
10 19.5 cm Accept equivalent fractions or decimals
Time: 10 seconds
11 75 minutes
12 100 pupils
13 22 cm
14 70 °
15 3.28 Accept equivalentfractions or decimals
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-
15
Time: 10 seconds continued
1616
Accept equivalentfractions
Accept 0.16(…) or0.17, or percentage
equivalents
17 60 cm3
18
19 60 % Do not accept equivalent fractions or decimals
20 125 miles
21 0.08 Accept equivalent fractions or decimals
Time: 15 seconds
22 £ 11
23 5 Accept embedded values,eg 3 × 5
24 220
25 62 °
26 7 Do not acceptincomplete processing,
eg 10 × 0.7
28 y = –x Acceptunconventional
notation,eg y = –1 × x
29 15
30 6p ( p + 2 )or
6p ( 2 + p )
Accept unconventionalnotation,
eg 6p(1p + 2 )
27 40 Accept –40 with40 or alone
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-
29 Bolton StreetLondon W1J 8BT
Telephone: 08700 60 60 40Minicom: 020 7509 6546Fax: 020 7509 5908
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