270044 KS3 MenMaMS - Emathsemaths.co.uk/SAT PAPERS/KS3 SAT Papers/Mathematics KS3 SAT Papers...and...
16
LOWER TIER & HIGHER TIERS KEY STAGE 3 2006 Ma Mark schemes for Mental mathematics Tests A, B and C Mathematics tests 2006 KS3MathsMMS 270044 Cover.qxp 11/1/06 11:01 am Page 1
Transcript of 270044 KS3 MenMaMS - Emathsemaths.co.uk/SAT PAPERS/KS3 SAT Papers/Mathematics KS3 SAT Papers...and...
LOWER TIER &HIGHER TIERS
KEY STAGE
3
2006
Ma
Mark schemes forMental mathematicsTests A, B and C
Mathematics tests20
06KS3MathsMMS 270044 Cover.qxp 11/1/06 11:01 am Page 1
First published in 2006
© Qualifi cations and Curriculum Authority 2006
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, provided full acknowledgement is given.
Produced in Great Britain by the Qualifi cations and Curriculum Authority under the authority
and superintendence of the Controller of Her Majesty’s Stationery Offi ce and Queen’s Printer
of Acts of Parliament.
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Charities Act 1993.
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270044_KS3_MenMaMS.indd 2270044_KS3_MenMaMS.indd 2 23/12/05 2:01:30 pm23/12/05 2:01:30 pm
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
2006
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
25
Tim
e: 5
sec
ond
s co
ntin
ued
8–7
8
93 d
– d
9
165
85
58
7
56
616
Tim
e: 5
sec
ond
s
11
22
33
4fe
et15
1 fe
et4
533
5
6se
cond
s6
792
07
Tim
e: 1
0 se
cond
s
10p
upils
£24
£
610
11N
11
1224
5
012
13£
£11
13
1416
+ x
= 2
314
153.
7
0.5
15
17
%
17
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
rite
in fi
gu
res
the
nu
mb
er s
even
hu
nd
red
an
d t
hre
e.
2H
ow
man
y ri
gh
t an
gle
s d
oes
a r
ecta
ng
le h
ave?
3M
ult
iply
eig
ht
by
thre
e.
4Th
e h
eig
ht
of
the
Stat
ue
of
Lib
erty
is o
ne
hu
nd
red
an
d fi
fty
-on
e fe
et.
Wh
at is
th
is h
eig
ht
to t
he
nea
rest
hu
nd
red
fee
t?
5W
hat
nu
mb
er d
o I
nee
d t
o a
dd
to
th
irty
-th
ree
to m
ake
on
e h
un
dre
d?
6H
ow
man
y se
con
ds
are
ther
e in
th
ree
min
ute
s?
7D
ivid
e n
ine
hu
nd
red
an
d t
wen
ty b
y te
n.
8W
hat
nu
mb
er is
fo
ur
less
th
an m
inu
s se
ven
?
9Lo
ok
at t
he
exp
ress
ion
on
yo
ur
answ
er s
hee
t.W
rite
it 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
10 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
10A
gro
up
of
pu
pils
sh
are
twen
ty-f
ou
r p
ou
nd
s. T
hey
eac
h g
et e
xact
ly s
ix p
ou
nd
s.H
ow
man
y p
up
ils a
re in
th
e g
rou
p?
11Lo
ok
at t
he
dia
gra
m o
n y
ou
r an
swer
sh
eet.
Put
a ri
ng
ro
un
d t
he
arro
w t
hat
is p
oin
tin
g s
ou
th-w
est.
12Su
btr
act
twen
ty-f
ou
r fr
om
fi f
ty.
13Fo
r tw
o a
du
lts
to s
ee a
fi l
m, t
he
cost
is e
leve
n p
ou
nd
s al
tog
eth
er.
Ho
w m
uch
do
es it
co
st f
or
on
e ad
ult
to
see
th
e fi
lm?
14Lo
ok
at t
he
equ
atio
n. W
hat
is t
he
valu
e o
f x?
15Lo
ok
at t
he
nu
mb
ers
on
yo
ur
answ
er s
hee
t. A
dd
th
em.
16Lo
ok
at t
he
dat
a o
n y
ou
r an
swer
sh
eet.
Wh
ich
nu
mb
er is
th
e m
od
e?
17Lo
ok
at t
he
dia
gra
m d
raw
n o
n a
sq
uar
e g
rid
.W
hat
per
cen
tag
e o
f th
e d
iag
ram
is s
had
ed?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
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5
Tim
e: 1
0 se
cond
s co
ntin
ued
18C
erea
lTo
ast
Egg
s
1014
2
56
3 peo
ple
18
29£
£1.
4529
2713
2÷
6=
22
132
÷3
=
27
21
BC
A
x
y 2 0 –2
–2
0 2
(
,
)21
237
23
2020
22
°78
°
22
199
12
19
Tim
e: 1
5 se
cond
s
24W
ith a
calc
ulat
or
With
out
aca
lcul
ator
pup
ils24
25p
60p
25
26
Mirr
orlin
e
26
28
28
30cm
6cm
3
0cm
230
18Th
e d
iag
ram
sh
ow
s w
hat
so
me
peo
ple
had
fo
r b
reak
fast
.H
ow
man
y p
eop
le h
ad b
oth
cer
eal a
nd
to
ast,
bu
t n
ot
egg
s?
19W
rite
a n
um
ber
th
at is
a f
acto
r o
f b
oth
nin
e an
d t
wel
ve.
20I h
ave
a fa
ir s
ix-s
ided
dic
e n
um
ber
ed o
ne
to s
ix.
I am
go
ing
to
ro
ll th
e d
ice.
Wh
at is
th
e p
rob
abili
ty t
hat
I w
ill r
oll
an o
dd
nu
mb
er?
21Lo
ok
at t
he
tria
ng
le d
raw
n o
n t
he
gri
d.
Wri
te d
ow
n t
he
coo
rdin
ates
of
the
po
int
mar
ked
A.
22Tw
o a
ng
les
fi t
tog
eth
er t
o m
ake
a st
raig
ht
line.
On
e an
gle
is s
even
ty-e
igh
t d
egre
es.
Ho
w m
any
deg
rees
are
th
ere
in t
he
oth
er a
ng
le?
23W
hat
is t
he
nex
t p
rim
e n
um
ber
aft
er s
even
?
‘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.’
24Th
e ta
lly c
har
t sh
ow
s th
e n
um
ber
of
pu
pils
wit
h a
nd
wit
ho
ut
a ca
lcu
lato
r.A
lto
get
her
, ho
w m
any
pu
pils
are
th
ere?
25Th
ree
pen
cils
co
st s
ixty
pen
ce.
Ho
w m
uch
wo
uld
fo
ur
pen
cils
co
st?
26Lo
ok
at t
he
dia
gra
m o
n t
he
squ
are
gri
d.
Dra
w t
he
refl
ecti
on
of
the
shap
e in
th
e m
irro
r lin
e.
27Yo
ur
answ
er s
hee
t sh
ow
s th
e an
swer
to
on
e h
un
dre
d a
nd
th
irty
-tw
o
div
ided
by
six.
Use
th
is in
form
atio
n t
o h
elp
yo
u w
ork
ou
t th
e an
swer
to
on
e h
un
dre
d a
nd
th
irty
-tw
o d
ivid
ed b
y th
ree.
28Lo
ok
at t
he
shap
e m
ade
fro
m e
qu
ilate
ral t
rian
gle
s.Sh
ade
two
mo
re t
rian
gle
s so
th
at t
he
shap
e h
as r
ota
tio
n s
ymm
etry
of
ord
er t
hre
e.
29A
bir
thd
ay c
ard
co
sts
on
e p
ou
nd
an
d f
ort
y-fi
ve p
ence
.H
ow
mu
ch d
o t
hre
e o
f th
ese
card
s co
st?
30A
rec
tan
gle
has
a le
ng
th o
f si
x ce
nti
met
res
and
an
are
a o
fth
irty
sq
uar
e ce
nti
met
res.
Wh
at is
th
e w
idth
of
the
rect
ang
le?
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
270044_KS3_MenMaMS.indd 5270044_KS3_MenMaMS.indd 5 23/12/05 2:01:31 pm23/12/05 2:01:31 pm
Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
6
Key stage 3 mathematics 2006Mental mathematics lower tier Test C
Test CMark scheme
Time: 5 seconds continued
8 –11
Time: 5 seconds
1 703 Do not accept responses given in words
2 4
3 24
4 200 feet
5 67 Accept embedded values,eg 33 + 67
6 180 seconds Do not accept amended units
7 92
9 2d
Time: 10 seconds
10 4 pupils Accept embedded values, eg 4 × 6
11 N Accept any unambiguous indication
12 26
13 £ 5.50
14 7 Accept embedded values, eg 16 + 7
15 4.2 Accept equivalentfractions or decimals
16 5 Accept value indicated in list
17 25 % Do not accept equivalent fractions or decimals
270044_KS3_MenMaMS.indd 6270044_KS3_MenMaMS.indd 6 23/12/05 2:01:31 pm23/12/05 2:01:31 pm
7
Time: 10 seconds continued
18 4 people
25 80 p
27 44
26
Mirrorline
Accept lines not drawn accurately, provided the pupil’s intention is clear
21 ( –2 , 1 )
Time: 15 seconds
24 20 pupils
22 102 °
19 1 or 3
2012
Accept equivalent probabilities
23 11
28
29 £ 4.35
30 5 cm
270044_KS3_MenMaMS.indd 7270044_KS3_MenMaMS.indd 7 23/12/05 2:01:32 pm23/12/05 2:01:32 pm
8
Pup
il an
swer
sh
eet
Key
sta
ge
3 m
athe
mat
ics
2006
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
37
1113
1 81 4
1 31 2
3 411
4m
m4
230
02
Tim
e: 5
sec
ond
s co
ntin
ued
73.
687
16£
5%
£30
016
39
3
Tim
e: 5
sec
ond
s
1
010
20
1
5–2
5
66
810
y2 – 3
y28
Tim
e: 1
0 se
cond
s
9R
ight
Wro
ng
pup
ils9
10cm
10
12
°50
°
A
Bw
12
132 x
– 8
13
1410
cm :
2km
15cm km
14
1515
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.’
1W
hat
nu
mb
er is
th
e ar
row
po
inti
ng
to
on
th
e n
um
ber
lin
e?
2D
ivid
e th
ree
hu
nd
red
by
ten
.
3M
ult
iply
six
by
nin
e.
4H
ow
man
y m
illim
etre
s ar
e th
ere
in e
igh
t ce
nti
met
res?
5W
hat
nu
mb
er is
six
less
th
an m
inu
s tw
o?
6W
rite
in fi
gu
res
the
nu
mb
er t
hat
is o
ne
less
th
an o
ne
mill
ion
.
7R
ou
nd
th
ree
po
int
six
eig
ht
to o
ne
dec
imal
pla
ce.
8Lo
ok
at t
he
exp
ress
ion
on
yo
ur
answ
er s
hee
t. W
rite
it 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
10 s
eco
nd
s to
wo
rk o
ut
each
an
swer
an
d w
rite
it d
ow
n.’
9In
a q
uiz
, pu
pils
wer
e as
ked
a q
ues
tio
n.
The
pic
tog
ram
sh
ow
s h
ow
man
y p
up
ils w
ere
rig
ht
and
ho
w m
any
wer
e w
ron
g.
Eig
ht
pu
pils
wer
e ri
gh
t. H
ow
man
y p
up
ils w
ere
wro
ng
?
10Th
e p
erim
eter
of
a sq
uar
e is
tw
enty
cen
tim
etre
s.W
hat
is t
he
len
gth
of
on
e si
de
of
the
squ
are?
11In
a c
lass
of
twen
ty-e
igh
t p
up
ils, t
hir
teen
are
bo
ys.
Ab
ou
t w
hat
fra
ctio
n o
f th
e cl
ass
are
bo
ys?
Put
a ri
ng
ro
un
d t
he
frac
tio
n t
hat
is c
lose
st.
12A
B is
a s
trai
gh
t lin
e. W
ork
ou
t th
e si
ze o
f an
gle
w.
13Lo
ok
at t
he
exp
ress
ion
on
yo
ur
answ
er s
hee
t.W
hen
x is
nin
e, w
hat
is t
he
valu
e o
f th
e ex
pre
ssio
n?
14Th
e sc
ale
on
a m
ap is
ten
cen
tim
etre
s to
tw
o k
ilom
etre
s.O
n t
he
map
th
e d
ista
nce
bet
wee
n t
wo
po
ints
is fi
fte
en c
enti
met
res.
Ho
w m
any
kilo
met
res
are
ther
e b
etw
een
th
e tw
o p
oin
ts?
15I h
ave
a fa
ir s
ix-s
ided
dic
e, n
um
ber
ed o
ne
to s
ix. I
ro
ll th
e d
ice.
Wh
at is
th
e p
rob
abili
ty t
hat
I ro
ll a
nu
mb
er g
reat
er t
han
tw
o?
16W
hat
is fi
ve
per
cen
t o
f th
ree
hu
nd
red
po
un
ds?
‘No
w t
urn
ove
r yo
ur
answ
er s
hee
t.’
270044_KS3_MenMaMS.indd 8270044_KS3_MenMaMS.indd 8 23/12/05 2:01:33 pm23/12/05 2:01:33 pm
9
17Fi
nd
th
e vo
lum
e o
f a
cub
oid
mea
suri
ng
tw
o c
enti
met
res
by
eig
ht
cen
tim
etre
s b
y fo
ur
cen
tim
etre
s.
18M
ater
ial c
ost
s fo
ur
po
un
ds
fi ft
y p
er m
etre
.H
ow
man
y m
etre
s o
f th
is m
ater
ial c
an I
bu
y w
ith
tw
enty
-sev
en p
ou
nd
s?
19U
sin
g t
hre
e as
an
ap
pro
xim
atio
n f
or
pi,
fi n
d t
he
circ
um
fere
nce
of
a ci
rcle
wit
hd
iam
eter
eig
ht
cen
tim
etre
s.
20Ja
ke a
nd
Sar
jun
sh
are
som
e m
on
ey in
th
e ra
tio
on
e to
th
ree.
Sarj
un
’s s
har
e is
on
e h
un
dre
d a
nd
fi f
ty p
ou
nd
s.A
lto
get
her
, ho
w m
uch
mo
ney
did
th
ey s
har
e?
21Lo
ok
at t
he
exp
ress
ion
.W
hen
y is
six
, wo
rk o
ut
the
valu
e o
f th
e ex
pre
ssio
n.
‘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 an
swer
to
tw
enty
-sev
en m
ult
iplie
d b
y th
irty
-tw
o.
Use
th
is in
form
atio
n t
o h
elp
yo
u w
ork
ou
t th
e an
swer
to
tw
enty
-sev
en m
ult
iplie
d
by
sixt
een
.
23In
a s
urv
ey, s
om
e p
eop
le w
ere
aske
d if
th
ey u
se a
lib
rary
.Th
e p
ie c
har
t sh
ow
s th
e re
sult
s.Tw
elve
peo
ple
sai
d n
o. H
ow
man
y p
eop
le w
ere
aske
d a
lto
get
her
?
24A
mac
hin
e co
pie
s ex
actl
y fi
fty
pag
es a
min
ute
.H
ow
man
y p
ages
can
it c
op
y in
hal
f an
ho
ur?
25Th
e d
iag
ram
sh
ow
s an
arr
ow
of
hei
gh
t th
ree
cen
tim
etre
s.I e
nla
rge
it b
y a
scal
e fa
cto
r o
f tw
o a
nd
a h
alf.
Wh
at is
th
e h
eig
ht
of
the
enla
rged
arr
ow
?
26Th
e ta
ble
on
yo
ur
answ
er s
hee
t sh
ow
s th
e n
um
ber
of
milk
bo
ttle
s o
rder
ed f
or
twen
ty d
iffe
ren
t h
ou
ses.
Alt
og
eth
er, h
ow
man
y m
ilk b
ott
les
wer
e o
rder
ed?
27W
hat
is t
he
squ
are
roo
t o
f fo
rty
tho
usa
nd
?
28Lo
ok
at t
he
rig
ht-
ang
led
tri
ang
le. W
ork
ou
t th
e h
eig
ht
of
the
tria
ng
le.
29Lo
ok
at t
he
gri
d. W
hat
is t
he
equ
atio
n o
f th
e lin
e m
arke
d B
?
30N
ine
mu
ltip
lied
by
nin
e h
as t
he
sam
e va
lue
as t
hre
e to
th
e p
ow
er w
hat
?
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
Tim
e: 1
5 se
cond
s co
ntin
ued
26N
umb
er o
fm
ilk b
ottle
sFr
eque
ncy
0 6
1 3
2 8
3 1
4 2
26
309
× 9
30
28
heig
ht
8 10
28
Tim
e: 1
5 se
cond
s
2227
×32
=86
4
27×
16=
22
29
6 4 2 00
2 4
6
B
x
y
29
Tim
e: 1
0 se
cond
s co
ntin
ued
172
cm b
y 8
cm b
y 4
cm cm3
17
18m
£4.
50
£27
18
19cm
8cm
19
20£
1 : 3
£15
020
21y
(y–
3)
21
23N
o
Yes
23
2450
24
25
cm
3cm
25
2740
000
27
270044_KS3_MenMaMS.indd 9270044_KS3_MenMaMS.indd 9 23/12/05 2:01:33 pm23/12/05 2:01:33 pm
10
15 23
Accept equivalent probabilities, including
0.66, 0.67 or better, or their percentage
equivalents
Time: 10 seconds
9 3 pupils
2 30
Time: 5 seconds
1 8
3 54
4 80 mm
5 –8
6 999 999 Do not accept responsesgiven in words
Time: 5 seconds continued
7 3.7 Do not accept equivalent fractions or decimals
8 7y2
10 5 cm
1118
14
13
12
34
12 130 °
13 10
14 3 km
16 £ 15 Do not accept incorrect % signs
Key stage 3 mathematics 2006Mental mathematics higher tiers Test A
Test AMark scheme
270044_KS3_MenMaMS.indd 10270044_KS3_MenMaMS.indd 10 23/12/05 2:01:34 pm23/12/05 2:01:34 pm
11
27 200 Accept –200 with200 or alone
28 6 Ignore units given
25 712
cm Accept equivalent fractions or decimals
Time: 10 seconds continued
17 64 cm3
18 6 m
19 24 cm
20 £ 200
21 18
Time: 15 seconds
22 432
23 60
24 1500
Time: 15 seconds continued
26 30
29 x = 2 Accept unconventional notation,
eg 1x = 2, x1 – 2 = 0
30 4 Accept embedded values,eg 34
270044_KS3_MenMaMS.indd 11270044_KS3_MenMaMS.indd 11 23/12/05 2:01:34 pm23/12/05 2:01:34 pm
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.’
1A
tea
cher
div
ides
a c
lass
of
thir
ty p
up
ils in
to s
ix e
qu
al g
rou
ps.
Ho
w m
any
pu
pils
are
in e
ach
gro
up
?
2W
rite
eig
hty
-eig
ht
tho
usa
nd
in fi
gu
res.
3W
rite
th
e n
um
ber
th
at is
hal
fway
bet
wee
n a
hal
f an
d o
ne.
4W
hat
is t
he
area
of
a re
ctan
gle
wit
h a
wid
th o
f si
x ce
nti
met
res
and
a le
ng
th o
f se
ven
cen
tim
etre
s?
5N
inet
y-se
ven
per
cen
t o
f th
e Ea
rth
’s w
ater
is s
alt
wat
er. T
he
rest
is f
resh
wat
er.
Wh
at p
erce
nta
ge
of
the
Eart
h’s
wat
er is
fre
sh w
ater
?
6D
ivid
e tw
enty
-fo
ur
by
min
us
six.
7To
th
e n
eare
st m
etre
th
e h
eig
ht
of
a b
uild
ing
is t
wel
ve m
etre
s.W
hat
is t
he
leas
t va
lue
the
hei
gh
t o
f th
e b
uild
ing
co
uld
be?
‘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.’
8A
tea
cher
ask
ed s
om
e p
up
ils w
hic
h fl
avo
ur
dri
nk
they
pre
ferr
ed.
The
bar
ch
art
sho
ws
the
resu
lts.
Twen
ty p
up
ils s
aid
ora
ng
e. A
bo
ut
ho
w m
any
said
lim
e?
9A
less
on
sta
rts
at t
wo
fo
rty-
fi ve
an
d fi
nis
hes
at
thre
e tw
enty
.H
ow
lon
g is
th
e le
sso
n in
min
ute
s?
10Lo
ok
at t
he
tria
ng
le o
n t
he
gri
d. W
rite
th
e co
ord
inat
es o
f th
e p
oin
t m
arke
d A
.
11Lo
ok
at t
he
dia
gra
m. W
ork
ou
t th
e si
ze o
f an
gle
x.
12Lo
ok
at t
he
exp
ress
ion
on
yo
ur
answ
er s
hee
t. W
rite
it a
s si
mp
ly a
s p
oss
ible
.
13Lo
ok
at t
he
nu
mb
ers
on
yo
ur
answ
er s
hee
t. W
hat
is t
hei
r m
ean
?
14A
su
nfl
ow
er is
on
e h
un
dre
d a
nd
fi f
ty c
enti
met
res
tall.
Ho
w t
all w
ill it
be
if it
s h
eig
ht
incr
ease
s b
y te
n p
er c
ent?
15Th
ere
are
thir
ty c
ub
es in
a b
ag. I
am
go
ing
to
tak
e o
ut
on
e cu
be
at r
and
om
.Th
e p
rob
abili
ty t
hat
it w
ill b
e b
lue
is t
wo
-fi f
ths.
Ho
w m
any
blu
e cu
bes
are
in t
he
bag
?
‘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
2006
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
37
125 k
+ 2
m +
3m
+ 4
k12
Tim
e: 5
sec
ond
s
130
1
22
31 2
13
4cm
24
5%
97%
5
6–
66
7m
7
9m
inut
es2:
45
3:2
09
Tim
e: 1
0 se
cond
s
8
oran
ge
lime
200
pup
ils8
10
4 2 00
2 4
B CA
x
y
(
,
)10
11
335°
x
°11
1322
18
10
30
13
14cm
150
cm
10%
14
1530
2 515
270044_KS3_MenMaMS.indd 12270044_KS3_MenMaMS.indd 12 23/12/05 2:01:35 pm23/12/05 2:01:35 pm
13
16Th
e ra
tio
of
bo
ys t
o g
irls
in a
cla
ss is
th
ree
to fi
ve.
Th
ere
are
twel
ve b
oys
.H
ow
man
y g
irls
are
th
ere?
17Th
e re
ctan
gle
on
yo
ur
answ
er s
hee
t h
as b
een
en
larg
ed b
y a
scal
e fa
cto
r o
f tw
o.
Wri
te d
ow
n t
he
dim
ensi
on
s o
f th
e re
ctan
gle
bef
ore
th
e en
larg
emen
t.
18Lo
ok
at t
he
exp
ress
ion
on
yo
ur
answ
er s
hee
t.W
hat
is t
he
valu
e o
f th
is e
xpre
ssio
n w
hen
y is
fo
ur?
19A
3-D
sh
ape
has
exa
ctly
six
fac
es. A
ll si
x fa
ces
are
rect
ang
les.
Wh
at is
th
e n
ame
of
the
3-D
sh
ape?
20Fr
om
th
ree-
qu
arte
rs, s
ub
trac
t n
ou
gh
t p
oin
t tw
o.
21A
car
tra
velle
d t
wo
kilo
met
res
in fi
ve
min
ute
s.W
hat
was
th
e ca
r’s
aver
age
spee
d in
kilo
met
res
per
ho
ur?
‘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.’
22W
rite
a m
ult
iple
of
nin
e th
at is
big
ger
th
an s
even
ty a
nd
sm
alle
r th
an e
igh
ty.
23Lo
ok
at t
he
pat
tern
on
th
e sq
uar
e g
rid
.Sh
ade
two
mo
re s
qu
ares
so
th
at t
he
gri
d h
as t
wo
lin
es o
f sy
mm
etry
.
24Yo
ur
answ
er s
hee
t sh
ow
s th
e an
swer
to
sev
en m
ult
iplie
d b
y fi
fty-
eig
ht.
Use
th
is in
form
atio
n t
o h
elp
yo
u w
ork
ou
t th
e an
swer
to
th
ree
and
a h
alf
mu
ltip
lied
by
fi ft
y-ei
gh
t.
25Fo
rty-
fou
r p
eop
le p
aid
tw
enty
-fi v
e p
ence
eac
h t
o g
o in
to a
bo
ok
sale
.H
ow
mu
ch m
on
ey is
th
at a
lto
get
her
?
26In
a b
ox
of
pen
s, o
ne
hal
f ar
e b
lack
, on
e si
xth
are
red
an
d t
he
rest
are
blu
e.W
hat
fra
ctio
n o
f th
e p
ens
is b
lue?
27O
n t
he
gri
d, s
ketc
h t
he
stra
igh
t lin
e w
ith
eq
uat
ion
y e
qu
als
x p
lus
two
.
28W
hat
is t
he
squ
are
roo
t o
f n
ine
twen
ty-fi
fth
s?
29So
me
peo
ple
wer
e as
ked
wh
ich
co
lou
r ca
r th
ey p
refe
rred
.Th
e p
ie c
har
t sh
ow
s th
e re
sult
s.W
hat
per
cen
tag
e o
f th
e p
eop
le s
aid
blu
e?
30m
sq
uar
ed e
qu
als
on
e h
un
dre
d.
Wri
te d
ow
n t
he
two
po
ssib
le v
alu
es o
f m
plu
s fi
ftee
n.
‘Pu
t yo
ur
pen
s d
ow
n. T
he
test
is fi
nis
hed
.’
Tim
e: 1
5 se
cond
s co
ntin
ued
247
×58
=40
6
31 2
×58
=
24
29B
lue
Red
72°
%29
25£
44
25p
25
27
4 2 00
2 4
x
y
27
23
23
Tim
e: 1
0 se
cond
s co
ntin
ued
163
: 516
173
cm
2cm
cm
and
cm
17
181 2
y218
1919
203 4
0.2
20
Tim
e: 1
5 se
cond
s
2270
8
022
261 2
1 626
289 25
28
30m
2 = 1
00m
+ 1
5
an
d
30
21km
/h2
km5
min
utes
21
270044_KS3_MenMaMS.indd 13270044_KS3_MenMaMS.indd 13 23/12/05 2:01:35 pm23/12/05 2:01:35 pm
Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
14
Key stage 3 mathematics 2006Mental mathematics higher tiers Test B
Test BMark scheme
Time: 10 seconds
8 25 answer 35
Do not accept incorrect % signs
Time: 5 seconds
1 5
2 88 000 Do not accept responses given in words
334
Accept equivalent fractions or decimals
4 42 cm2
5 3 %
6 –4
7 11.5 m Accept equivalent fractions or decimals
9 35 minutes
10 ( 4 , 1 )
11 25 °
12 9k + 5m
13 20
14 165 cm
15 12Accept embedded values,
eg 1230
270044_KS3_MenMaMS.indd 14270044_KS3_MenMaMS.indd 14 23/12/05 2:01:36 pm23/12/05 2:01:36 pm
15
26 13
Accept equivalentfractions but do not accept equivalent
decimals
25 £ 11
23
or
Time: 10 seconds continued
16 20 Do not accept12 : 20
17 1 cm and 112
cm
Accept pair in either order
Accept equivalent fractions or decimals
18 8
19 Cuboid Accept ‘rectangular prism’
Condone ‘cube’ or ‘square prism’
20 0.55 Accept equivalent fractions or decimals
21 24 km/h
Time: 15 seconds
22 72 Do not accept8 × 9
Time: 15 seconds continued
24 203
27
4
2
00 2 4 x
y
Accept line at least two diagonals in length, and line not drawn accurately,
provided the pupil’s intention is clear
28 35
Accept equivalent fractions or decimals
Accept– 3
5with 3
5or alone
29 20 % Do not accept equivalent fractions or decimals
30 5 and 25 Accept pair ineither order
270044_KS3_MenMaMS.indd 15270044_KS3_MenMaMS.indd 15 23/12/05 2:01:36 pm23/12/05 2:01:36 pm
EARLY YEARS
NATIONALCURRICULUM5–16
GCSE
GNVQ
GCE A LEVEL
NVQ
OTHERVOCATIONALQUALIFICATIONS
Further teacher packs may be purchased (for any purpose other than statutory
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270044_KS3_MenMaMS.indd 16270044_KS3_MenMaMS.indd 16 23/12/05 2:01:37 pm23/12/05 2:01:37 pm
