Post on 28-Jun-2018
transcript
National curriculum assessments
2008
Ma
KEY STAGE
3
Mathematics tests
Mark scheme for Mental mathematicstests A, B and CLOWER TIER &
HIGHER TIERS
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First published 2008
© Qualifications and Curriculum Authority 2008
ISBN 1-84721-491-6
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
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
20
08
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
49
Tim
e: 5
sec
ond
s
167
1
41
71 4
7
22
319
3
442
664
56
7
5
67k
– 4
k6
80.
8
58
Tim
e: 1
0 se
cond
s
920
1020
0121
00
2110
2101
9
1014
15
16
10
11
£11
12tr
ain
bus
adul
t£2
.00
£1.2
0
child
£1.0
040
p
£12
1325
th J
uly
13
14m
en
wom
en
= 2
5 p
eop
le
14
153
3
215
16
°E
W
SN
16
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.’
1A
dd
six
ty-s
even
an
d f
ou
rtee
n.
2H
ow
man
y si
des
do
es a
n o
ctag
on
hav
e?
3D
ou
ble
nin
etee
n.
4R
ou
nd
fo
ur
tho
usa
nd
tw
o h
un
dre
d a
nd
six
ty-s
ix t
o t
he
nea
rest
ten
.
5M
ult
iply
six
by
seve
n.
6Lo
ok
at t
he
exp
ress
ion
. Wri
te it
as
sim
ply
as
po
ssib
le.
7W
rite
on
e q
uar
ter
as a
dec
imal
.
8W
hat
is n
ou
gh
t p
oin
t ei
gh
t m
ult
iplie
d b
y fi
ve?
‘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.’
9Lo
ok
at t
he
nu
mb
ers
on
yo
ur
answ
er s
hee
t.Pu
t a
rin
g r
ou
nd
th
e la
rges
t n
um
ber
.
10A
dd
to
get
her
fo
urt
een
, fi f
teen
an
d s
ixte
en.
11Lo
ok
at t
he
coin
s.H
ow
mu
ch m
on
ey is
sh
ow
n a
lto
get
her
?
12Th
e ta
ble
sh
ow
s th
e p
rice
of
a jo
urn
ey b
y tr
ain
or
bu
s.H
ow
mu
ch w
ill it
co
st t
wo
ad
ult
s an
d o
ne
child
to
mak
e th
e jo
urn
ey b
y b
us?
13Jo
hn
wen
t to
Fra
nce
on
th
e tw
enty
-fi f
th o
f Ju
ly a
nd
ret
urn
ed
exac
tly
on
e w
eek
late
r.O
n w
hat
dat
e d
id J
oh
n r
etu
rn?
14Th
e ch
art
sho
ws
the
nu
mb
er o
f m
en a
nd
wo
men
wh
o w
ork
at
a fa
cto
ry.
On
e sy
mb
ol r
epre
sen
ts t
wen
ty-fi
ve
peo
ple
.H
ow
man
y m
ore
men
th
an w
om
en w
ork
at
the
fact
ory
?
15Su
btr
act
thre
e fr
om
th
ree
squ
ared
.
16Sa
m is
fac
ing
No
rth
. He
turn
s cl
ock
wis
e to
fac
e N
ort
h-E
ast.
Thro
ug
h h
ow
man
y d
egre
es d
oes
he
turn
?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
282686_mmMs04.indd 4282686_mmMs04.indd 4 3/12/07 11:35:22 am3/12/07 11:35:22 am
5
Tim
e: 1
0 se
cond
s co
ntin
ued
17
–6
° C
–4
–2
02
4
° C17
188
km5
mile
s
mile
s18
19y 2
B
A
Cx
0–
20
2
–2
(
,
)19
20√8
120
215b
+ 3
21
Tim
e: 1
5 se
cond
s
22
3 tin
s fo
r 99
p
£22
Tim
e: 1
5 se
cond
s co
ntin
ued
24
02
46
810
slee
pin
g
eatin
g
wor
king
Tim
e (h
ours
)
24
2323
25
8cm
6cm
6cm
cm25
261,
3,
6,
10
, 1
5,
26
271
red
1 gr
een
3
blu
e
27
28A
450
g
B
950
g
C g28
2929
×34
=98
6
0.29
×34
=29
30
°17
0°a
30
17Lo
ok
at t
he
tem
per
atu
re s
ho
wn
on
th
e th
erm
om
eter
.Th
e te
mp
erat
ure
dro
ps
by
fi ve
deg
rees
Cel
siu
s. W
hat
is t
he
new
tem
per
atu
re?
18Ei
gh
t ki
lom
etre
s is
ab
ou
t fi
ve m
iles.
Ab
ou
t h
ow
man
y m
iles
is t
wen
ty-f
ou
r ki
lom
etre
s?
19Lo
ok
at t
he
tria
ng
le d
raw
n o
n t
he
gri
d.
Wri
te t
he
coo
rdin
ates
of
the
po
int
mar
ked
A.
20W
hat
is t
he
squ
are
roo
t o
f ei
gh
ty-o
ne?
21Lo
ok
at t
he
exp
ress
ion
. I s
ub
trac
t th
ree
fro
m t
he
exp
ress
ion
.W
rite
th
e n
ew e
xpre
ssio
n a
s si
mp
ly a
s p
oss
ible
.
‘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.’
22Yo
ur
answ
er s
hee
t sh
ow
s th
e co
st o
f th
ree
tin
s o
f ca
t fo
od
.H
ow
mu
ch w
ou
ld s
ix o
f th
ese
tin
s co
st?
23I a
m t
hin
kin
g o
f a
nu
mb
er.
The
nu
mb
er c
an b
e d
ivid
ed b
y th
ree
wit
h n
o r
emai
nd
er.
It c
an a
lso
be
div
ided
by
fou
r w
ith
no
rem
ain
der
.W
hat
co
uld
my
nu
mb
er b
e?
24Th
e b
ar c
har
t sh
ow
s h
ow
Pet
e sp
ent
som
e o
f h
is d
ay.
Ho
w m
any
mo
re h
ou
rs d
id h
e sp
end
sle
epin
g t
han
wo
rkin
g?
25Lo
ok
at t
he
tria
ng
le a
nd
th
e sq
uar
e.Th
e p
erim
eter
of
the
tria
ng
le is
th
e sa
me
as t
he
per
imet
er o
f th
e sq
uar
e.W
hat
is t
he
sid
e le
ng
th o
f th
e sq
uar
e?
26Lo
ok
at t
he
seq
uen
ce o
f tr
ian
gu
lar
nu
mb
ers:
on
e, t
hre
e, s
ix, t
en, fi
fte
en.
Wh
at is
th
e n
ext
nu
mb
er in
th
e se
qu
ence
?
27B
en h
as o
ne
red
mar
ble
, on
e g
reen
mar
ble
an
d t
hre
e b
lue
mar
ble
s in
his
po
cket
.H
e is
go
ing
to
tak
e o
ne
of
the
mar
ble
s o
ut
of
his
po
cket
wit
ho
ut
loo
kin
g.
Wh
at is
th
e p
rob
abili
ty it
will
be
gre
en?
28Lo
ok
at t
he
info
rmat
ion
on
yo
ur
answ
er s
hee
t.Th
e to
tal m
ass
of
the
thre
e b
oxe
s is
tw
o k
ilog
ram
s.W
hat
is t
he
mas
s o
f b
ox
C?
29Tw
enty
-nin
e m
ult
iplie
d b
y th
irty
-fo
ur
is n
ine
hu
nd
red
an
d e
igh
ty-s
ix.
Wh
at is
no
ug
ht
po
int
two
nin
e m
ult
iplie
d b
y th
irty
-fo
ur?
30Lo
ok
at t
he
dia
gra
m. W
ork
ou
t th
e si
ze o
f an
gle
a.
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
282686_mmMs04.indd 5282686_mmMs04.indd 5 3/12/07 11:35:22 am3/12/07 11:35:22 am
Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
6
6 3k
Key stage 3 mathematics 2008
Mental mathematics lower tier Test C
Test CMark scheme
Time: 5 seconds
1 81
3 38
4 4270
5 42
Time: 10 seconds
92010 2001 2100
2110 2101
11 £ 1.13
13 1st August Accept anyunambiguous or commonly used
indication of the date, eg 1 Aug, 1/8 or
8/1 [US notation]Ignore years given
2 8
7 0.25 Accept equivalent decimals
Do not accept equivalent fractions
8 4 (.0)
10 45
12 £ 2.80
14 75
15 6
16 45 ° Accept 45 + any multiple of 360
282686_mmMs04.indd 6282686_mmMs04.indd 6 3/12/07 11:35:23 am3/12/07 11:35:23 am
7
Time: 10 seconds continued
17 –3 °C
19 (1, –2)
20 9 Accept –9 with 9or alone
Accept embedded valueseg 9 × 9
Time: 15 seconds continued
24 3
25 5 cm
28 600 g
18 14.9 answer 15.1 miles
21 5b
Time: 15 seconds
22 £ 1.98
23 Any multiple of 12
Accept zero or negative multiples of 12
26 21
27 15
Accept equivalentprobabilities
29 9.86 Accept equivalentfractions or decimals
30 100 °
282686_mmMs04.indd 7282686_mmMs04.indd 7 3/12/07 11:35:23 am3/12/07 11:35:23 am
8
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
20
08
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
9910
40
50
10
Tim
e: 5
sec
ond
s
142
1
28
47
49
2
64.
875
6
40.
1
44
5–
25
34
b +
5b
3
1320
%
613
Tim
e: 1
0 se
cond
s
830
08
9
cm2
9
12a
= 5
b –
412
Tim
e: 5
sec
ond
s co
ntin
ued
7y
= 3
x +
27
1155
°
25°
p
°11
14m
iles
40m
ph
14
1520
15
163
(a –
5)
16
175.
717
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 si
xes
are
ther
e in
fo
rty-
two
?
2Lo
ok
at t
he
nu
mb
ers
on
yo
ur
answ
er s
hee
t.W
rite
do
wn
th
e n
um
ber
th
at is
th
e m
od
e.
3Lo
ok
at t
he
exp
ress
ion
. Wri
te it
as
sim
ply
as
po
ssib
le.
4Su
btr
act
no
ug
ht
po
int
on
e fr
om
fo
ur.
5W
hat
nu
mb
er is
eig
ht
mo
re t
han
min
us
two
?
6Lo
ok
at t
he
nu
mb
er o
n y
ou
r an
swer
sh
eet.
Ro
un
d it
to
on
e d
ecim
al p
lace
.
7W
hat
is t
he
gra
die
nt
of
the
line
wit
h e
qu
atio
n y
eq
ual
s th
ree
x p
lus
two
?
‘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.’
8Th
ere
are
thre
e h
un
dre
d p
eop
le a
t a
con
cert
.O
ne
hu
nd
red
an
d fi
fty
-fi v
e o
f th
em a
re m
ale.
Ho
w m
any
are
fem
ale?
9Lo
ok
at t
he
shad
ed t
rian
gle
dra
wn
on
a c
enti
met
re s
qu
are
gri
d.
Wh
at is
th
e ar
ea o
f th
e tr
ian
gle
?
10W
rite
do
wn
th
e m
ult
iple
of
twel
ve b
etw
een
fo
rty
and
fi f
ty.
11Lo
ok
at t
he
tria
ng
le. W
ork
ou
t th
e si
ze o
f an
gle
p.
12Lo
ok
at t
he
equ
atio
n o
n y
ou
r an
swer
sh
eet.
Wh
en b
is t
hre
e, w
hat
is t
he
valu
e o
f a?
13Tw
enty
per
cen
t o
f a
nu
mb
er is
six
. Wh
at is
th
e n
um
ber
?
14I t
rave
l at
a co
nst
ant
spee
d o
f fo
rty
mile
s p
er h
ou
r.H
ow
far
do
I tr
avel
in t
wo
an
d a
hal
f h
ou
rs?
15O
n a
vera
ge
I tak
e tw
enty
bre
ath
s in
on
e m
inu
te.
Ho
w m
any
bre
ath
s is
th
at in
on
e h
ou
r?
16Lo
ok
at t
he
exp
ress
ion
. Mu
ltip
ly o
ut
the
bra
cket
s.
17Lo
ok
at t
he
nu
mb
er o
n y
ou
r an
swer
sh
eet.
Hal
ve it
.
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
282686_mmMs04.indd 8282686_mmMs04.indd 8 3/12/07 11:35:24 am3/12/07 11:35:24 am
9
Tim
e: 1
5 se
cond
s
21
21
24
Yes
No
peo
ple
24
19£
£1.
2019
275
face
s27
2823 4
0.
328
23
23
Tim
e: 1
5 se
cond
s co
ntin
ued
25
2cm
a
m m
cm10
cm cm25
2220
×38
=76
0
21×
38=
22
26Te
levi
sion
sFr
eque
ncy
02
110
210
38
26
29
3
4
29
3082
30
Tim
e: 1
0 se
cond
s co
ntin
ued
18C
olou
rP
rob
abili
ty
red
0.4
gree
n0.
3
blu
e18
203
20
18In
a b
ag, t
her
e ar
e o
nly
red
, gre
en a
nd
blu
e b
alls
.C
om
ple
te t
he
tab
le t
o s
ho
w t
he
pro
bab
ility
of
taki
ng
a b
lue
bal
l.
19In
a s
ale,
th
e p
rice
of
a n
ote
bo
ok
is d
ecre
ased
by
ten
per
cen
t.W
hat
is t
he
new
pri
ce if
th
e o
ld p
rice
was
on
e p
ou
nd
tw
enty
?
20Lo
ok
at t
he
exp
ress
ion
. Wri
te d
ow
n t
he
valu
e o
f th
e ex
pre
ssio
n w
hen
m is
six
.
‘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.’
21O
ne
of
the
shap
es o
n y
ou
r an
swer
sh
eet
is t
he
net
of
a cu
bo
id.
Put
a ri
ng
ro
un
d t
he
corr
ect
shap
e.
22Tw
enty
mu
ltip
lied
by
thir
ty-e
igh
t is
sev
en h
un
dre
d a
nd
six
ty.
Wh
at is
tw
enty
-on
e m
ult
iplie
d b
y th
irty
-eig
ht?
23Lo
ok
at t
he
squ
are
gri
d.
Shad
e o
ne
mo
re s
qu
are
to g
ive
a sh
ape
wit
h r
ota
tio
n s
ymm
etry
of
ord
er t
wo
.
24Th
irty
-tw
o p
eop
le w
ere
aske
d if
th
ey t
rave
lled
to
wo
rk b
y b
us
on
e m
orn
ing
.Th
e p
ie c
har
t sh
ow
s th
e re
sult
s. H
ow
man
y p
eop
le s
aid
yes
?
25Lo
ok
at t
he
cub
oid
. It
has
a v
olu
me
of
on
e h
un
dre
d c
ub
ic c
enti
met
res.
Wo
rk o
ut
len
gth
a.
26Th
e fr
equ
ency
tab
le s
ho
ws
the
nu
mb
er o
f te
levi
sio
ns
ow
ned
by
thir
ty f
amili
es.
Alt
og
eth
er h
ow
man
y te
levi
sio
ns
did
th
ey o
wn
?
27A
pyr
amid
has
fi v
e fa
ces.
Ho
w m
any
sid
es d
oes
th
e b
ase
of
the
pyr
amid
hav
e?
28Lo
ok
at t
he
nu
mb
ers
on
yo
ur
answ
er s
hee
t. A
dd
th
em.
29Lo
ok
at t
he
rho
mb
us.
Wo
rk o
ut
its
area
.
30Ei
gh
t sq
uar
ed is
th
e sa
me
as t
wo
to
th
e p
ow
er w
hat
?
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
282686_mmMs04.indd 9282686_mmMs04.indd 9 3/12/07 11:35:24 am3/12/07 11:35:24 am
10
Time: 5 seconds
1 7 Accept embedded values,eg 7 × 6
2 4 Accept value(s)indicated in list
3 9b
94
12 cm2 Accept equivalent
fractions or decimals
5 6
Time: 5 seconds continued
7 3
14 100 miles
Key stage 3 mathematics 2008
Mental mathematics higher tiers Test A
Test AMark scheme
13 30 Do not acceptincorrect % signs
17 2.85 Accept equivalent fractions or decimals6 4.9 Do not accept equivalent
fractions or decimals
Time: 10 seconds
8 145
10 48
11 100 °
12 11
15 1200
16 3a – 15 Acceptunconventional notation,
eg 3 × a – 15
Do not accept incomplete processing,
eg 3 × a – 3 × 5
4 3.9 Accept equivalent fractions or decimals
282686_mmMs04.indd 10282686_mmMs04.indd 10 3/12/07 11:35:25 am3/12/07 11:35:25 am
11
27 4
19 £ 1.08
20 36 Do not acceptincomplete processing,
eg 2166
Time: 10 seconds continued
18 0.3 Accept equivalent probabilities
Time: 15 seconds
21
22 798
23
24 12 people
Time: 15 seconds continued
25 5 cm
26 54
29 24 Ignore anyunits given
28 3.05 Accept equivalent fractions or decimals
30 6 Accept embedded values,eg 26
282686_mmMs04.indd 11282686_mmMs04.indd 11 3/12/07 11:35:25 am3/12/07 11:35:25 am
12
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
20
08
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
99
5
Non
eG
rad
ient
Hig
h
Pos
itive
Neg
ativ
e5
9£
£3.
609
Tim
e: 5
sec
ond
s
11
47 100
4
81
02
8
112.
911
24.
7,
4.8,
4.
9,
,
2
34
pq3
Tim
e: 5
sec
ond
s co
ntin
ued
6%
10 o
ut o
f 25
6
Tim
e: 1
0 se
cond
s
7
001234
12
34
B
C
A (
,
)7
10m
m10
cm10
131 5
213
12
°a
12
1414
814
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.’
1M
ult
iply
six
by
six.
2I s
tart
at
fou
r p
oin
t se
ven
an
d c
ou
nt
on
in e
qu
al s
tep
s: f
ou
r p
oin
t se
ven
, fo
ur
po
int
eig
ht,
fo
ur
po
int
nin
e.W
rite
do
wn
th
e n
ext
two
nu
mb
ers
in t
he
seq
uen
ce.
3D
ou
ble
th
e ex
pre
ssio
n o
n y
ou
r an
swer
sh
eet.
4W
rite
sev
en-h
un
dre
dth
s as
a d
ecim
al.
5Lo
ok
at t
he
scat
ter
gra
ph
. It
sho
ws
a ty
pe
of
corr
elat
ion
.Pu
t a
rin
g r
ou
nd
th
e w
ord
th
at d
escr
ibes
th
e ty
pe
of
corr
elat
ion
it s
ho
ws.
6W
rite
ten
ou
t o
f tw
enty
-fi v
e as
a p
erce
nta
ge.
‘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.’
7Lo
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?
8Lo
ok
at t
he
scal
e.A
bo
ut
wh
at v
alu
e is
th
e ar
row
po
inti
ng
to
?
9W
hat
is h
alf
of
thre
e p
ou
nd
s si
xty?
10H
ow
man
y m
illim
etre
s ar
e th
ere
in t
en c
enti
met
res?
11D
ou
ble
tw
o p
oin
t n
ine.
12Lo
ok
at t
he
dia
gra
m. E
stim
ate
the
size
of
ang
le a
.
13H
ow
man
y fi
fth
s ar
e th
ere
in t
wo
?
14W
hat
is o
ne
qu
arte
r o
f o
ne
hu
nd
red
an
d f
ort
y-ei
gh
t?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
282686_mmMs04.indd 12282686_mmMs04.indd 12 3/12/07 11:35:26 am3/12/07 11:35:26 am
13
2110
cm2
90cm
3
cm21
26
5
510
15
2510
026
29–
20
80
40
29
20( x
+ 2
)(x
– 1
)20
2440
p fo
r 5
min
utes
£24
27£
: 4 :
527
192
cm
S
cale
fact
or 2
cm2
19
Tim
e: 1
5 se
cond
s
22
050100
150
200
MT
WT
FS
Sd
ay
day
s22
253 5
4 5
5 6
6 9
7 10
25
30y 2
A
0–
20
2
–2
30
1821
– 3
x =
918
Tim
e: 1
5 se
cond
s co
ntin
ued
2323
2839
.92
× 4
1.06
1.98
28
1736
17
Tim
e: 1
0 se
cond
s co
ntin
ued
15
15
1617
red
13
gre
en16
x
1
15Lo
ok
at t
he
po
lyg
on
. Wri
te d
ow
n it
s m
ath
emat
ical
nam
e.
16Th
ere
are
seve
nte
en r
ed a
nd
th
irte
en g
reen
ap
ple
s in
a b
ag.
I am
go
ing
to
tak
e o
ut
an a
pp
le w
ith
ou
t lo
oki
ng
.W
hat
is t
he
pro
bab
ility
th
at t
he
app
le w
ill b
e g
reen
?
17W
hat
is t
he
nex
t sq
uar
e n
um
ber
aft
er t
hir
ty-s
ix?
18Lo
ok
at t
he
equ
atio
n. W
hat
is t
he
valu
e o
f x?
19A
sq
uar
e o
f si
de
two
cen
tim
etre
s is
en
larg
ed b
y sc
ale
fact
or
two
.W
hat
is t
he
area
of
the
enla
rged
sq
uar
e?
20Lo
ok
at t
he
exp
ress
ion
. Wh
en x
is t
hre
e, w
hat
is t
he
valu
e o
f th
e ex
pre
ssio
n?
21A
cyl
ind
er h
as a
bas
e ar
ea o
f te
n s
qu
are
cen
tim
etre
s an
d
a vo
lum
e o
f n
inet
y cu
bic
cen
tim
etre
s. W
hat
is t
he
hei
gh
t o
f th
e cy
lind
er?
‘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.’
22Th
e lin
e g
rap
h s
ho
ws
the
nu
mb
er o
f ic
e cr
eam
s so
ld a
t a
cin
ema
in o
ne
wee
k.O
n h
ow
man
y d
ays
wer
e th
e sa
les
mo
re t
han
on
e h
un
dre
d?
23Th
ink
abo
ut
a p
yram
id t
hat
has
a t
rian
gu
lar
bas
e.H
ow
man
y tr
ian
gu
lar
face
s d
oes
it h
ave
alto
get
her
?
24C
ar p
arki
ng
co
sts
fort
y p
ence
fo
r ev
ery
fi ve
min
ute
s.H
ow
mu
ch w
ill it
co
st t
o p
ark
for
on
e h
ou
r?
25Lo
ok
at t
he
frac
tio
ns.
Put
rin
gs
rou
nd
all
tho
se t
hat
are
gre
ater
th
an t
hre
e-q
uar
ters
.
26A
cir
cle
has
a r
adiu
s o
f fi
ve. O
ne
of
the
valu
es o
n y
ou
r an
swer
sh
eet
sho
ws
its
circ
um
fere
nce
. Pu
t a
rin
g r
ou
nd
th
e co
rrec
t va
lue.
27A
mill
ion
po
un
d lo
tter
y p
rize
is d
ivid
ed in
th
e ra
tio
on
e to
fo
ur
to fi
ve.
Ho
w m
uch
is t
he
smal
lest
sh
are
of
the
pri
ze?
28Lo
ok
at t
he
calc
ula
tio
n o
n y
ou
r an
swer
sh
eet.
Wri
te a
n a
pp
roxi
mat
e an
swer
.
29Fo
ur
nu
mb
ers
hav
e a
mea
n o
f tw
enty
-fi v
e. T
hre
e o
f th
e n
um
ber
s ar
e sh
ow
n o
n
you
r an
swer
sh
eet.
Wri
te d
ow
n t
he
mis
sin
g n
um
ber
.
30Lo
ok
at t
he
gra
ph
. Wri
te d
ow
n t
he
equ
atio
n o
f th
e lin
e la
bel
led
A.
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
282686_mmMs04.indd 13282686_mmMs04.indd 13 3/12/07 11:35:26 am3/12/07 11:35:26 am
Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
14
Key stage 3 mathematics 2008
Mental mathematics higher tiers Test B
Test BMark scheme
Time: 5 seconds
1 36
11 5.8 Accept equivalent fractions or decimals
9 £ 1.802 5(.0) and 5.1 Accept pair in
either order
3 8pq Do not accept unconventional notation,
eg 8 × pq
4 0.07 Accept equivalent decimals
Do not accept equivalent fractions
5None Gradient High
Positive Negative
Time: 5 seconds continued
6 40 % Do not accept equivalent fractions or decimals
Time: 10 seconds
7 ( 0, 1 )
8 1.6 answer 1.8
Accept equivalent fractions or decimals
12 110 ° answer 130 °
14 37
13 10 Accept embedded values,
eg 105
10 100 mm Do not acceptamended units
282686_mmMs04.indd 14282686_mmMs04.indd 14 3/12/07 11:35:27 am3/12/07 11:35:27 am
15
Time: 15 seconds continued
23 4
17 49
Time: 10 seconds continued
15 Octagon Ignore additional description,eg regular
16 1330
Accept equivalentfractions
Accept decimals as 0.43 or better or
percentage equivalents
18 4
19 16 cm2
21 9 cm
20 10 Do not accept incomplete processing,
eg 5 × 2
Time: 15 seconds
22 3 days
24 £ 4.80
2535
45
56
69
710
26
5 10 15
25 100
30 y = x + 1 Accept equivalentequations
Accept unconventional notation,
eg y = 1x + 1
29 0
28 800 answer 840
27 £ 100 000
282686_mmMs04.indd 15282686_mmMs04.indd 15 3/12/07 11:35:27 am3/12/07 11:35:27 am
29 Bolton StreetLondon W1J 8BT
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282686_mmMs04.indd 16282686_mmMs04.indd 16 3/12/07 11:35:28 am3/12/07 11:35:28 am