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National curriculum assessments
2009
Ma
ALL TIERS
Mathematics tests
Mark scheme for Mental mathematicstests A, B and C
KEY STAGE
3
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First published 2009
© Qualifications and Curriculum Authority 2009
ISBN 1-84721-699-1
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.
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Qualifications and Curriculum Authority83 PiccadillyLondon W1J 8QAwww.qca.org.uk
3
2009 KS3 Mathematics test mark scheme: Mental mathematics Introduction
Introduction
This booklet contains the mark schemes for the lower tier test (test C) and the higher tiers tests (tests A and B).
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 50,000but do not accept a point used as a spacer,eg 50.000
4
Pup
il an
swer
she
et
Key
sta
ge
3 m
athe
mat
ics
2009
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
24
Tim
e: 5
sec
ond
s
11
2m
inut
es2
326
.58
3
463
4
520
65
7b
7
Tim
e: 5
sec
ond
s co
ntin
ued
8–
38
Tim
e: 1
0 se
cond
s
9S
ilver
Red
9
10
00
10
116.
45p
m
45 m
inut
es pm
11
122.
32.
52.
7
, 12
1393
4313
66
1416
, 12
, 8,
4
, 14
15a
– b
= 1
415
162.
6 0.
816
01
££
Low
er t
ier
test
C q
uest
ions
‘Now
we
are
read
y to
sta
rt t
he t
est.
For
the
fi rst
gro
up o
f q
uest
ions
you
will
hav
e 5
seco
nds
to w
ork
out
each
ans
wer
an
d w
rite
it d
own.
’
1W
rite
in fi
gur
es t
he n
umb
er e
ight
hun
dre
d a
nd o
ne.
2H
ow
man
y m
inut
es a
re t
here
in t
wo
ho
urs?
3W
hat
is t
wen
ty-s
ix p
oun
ds
fi fty
-eig
ht p
ence
roun
ded
to
the
nea
rest
po
und
?
4W
hat
num
ber
do
I ne
ed t
o a
dd
to
six
ty-t
hree
to
mak
e o
ne h
und
red
?
5M
ultip
ly t
wo
hun
dre
d a
nd s
ix b
y te
n.
6H
ow
man
y fa
ces
do
es a
tria
ngul
ar p
rism
hav
e?
7I a
m t
hink
ing
of a
num
ber
. I c
all i
t b.
I su
btr
act
two
fro
m m
y nu
mb
er.
Writ
e an
exp
ress
ion
to s
how
the
resu
lt.
8A
dd
eig
ht t
o m
inus
thr
ee.
‘For
the
nex
t g
roup
of
que
stio
ns y
ou w
ill h
ave
10 s
econ
ds
to w
ork
out
each
ans
wer
and
w
rite
it d
own.
’
9Th
e ta
lly c
hart
sho
ws
the
num
ber
of s
ilver
and
red
car
s a
sho
p s
old
in o
ne w
eek.
Ho
w m
any
mo
re re
d c
ars
wer
e so
ld t
han
silv
er c
ars?
10Lo
ok
at t
he n
umb
er li
ne o
n yo
ur a
nsw
er s
heet
.W
hat
num
ber
is t
he a
rro
w p
oin
ting
to
?
11A
rad
io p
rog
ram
me
star
ts a
t si
x fo
rty-
fi ve
pm
and
last
s fo
r fo
rty-
fi ve
min
utes
.A
t w
hat
time
do
es t
he p
rog
ram
me
fi nis
h?
12I a
m c
oun
ting
up
in n
oug
ht p
oin
t tw
os.
Two
po
int
thre
e, t
wo
po
int
fi ve,
tw
o p
oin
t se
ven,
…W
rite
do
wn
the
next
tw
o n
umb
ers.
13Lo
ok
at t
he n
umb
er o
n yo
ur a
nsw
er s
heet
. Ro
und
it t
o t
he n
eare
st h
und
red
.
14Th
e se
que
nce
of n
umb
ers
on
your
ans
wer
she
et g
oes
do
wn
in s
tep
s o
f fo
ur.
Writ
e th
e ne
xt t
wo
num
ber
s in
the
seq
uenc
e.
15Lo
ok
at t
he e
qua
tion
on
your
ans
wer
she
et.
Whe
na
is t
hirt
y-fo
ur, w
hat
is t
he v
alue
of b
?
16Lo
ok
at t
he n
umb
ers
on
your
ans
wer
she
et. A
dd
the
m.
‘Now
tur
n ov
er y
our
answ
er s
heet
.’
5
Tim
e: 1
0 se
cond
s co
ntin
ued
17O
ff
Rin
se
Was
hS
pin
°17
18N
o
Yes
peo
ple
18
20cm
8cm
20
2150
21
198 p
q19
Tim
e: 1
5 se
cond
s
22×
4in
out
+6
22
2320
0923
24m
agaz
ines
25%
food
40%
clot
hes
%24
Tim
e: 1
5 se
cond
s co
ntin
ued
25P
oetr
y
Ref
eren
ce
Sto
ry
02
46
810
12
25
26
cm
2
26
27
27
28re
ctan
gle
rhom
bus
par
alle
logr
am
squa
retr
apez
ium
28
3021
23
25
27
30
294.
3 ×
6 =
25.
8
29
££
17Lo
ok
at t
he d
ial o
n yo
ur a
nsw
er s
heet
. The
arr
ow
tur
ns fr
om
‘off
’ to
‘rin
se’.
Thro
ugh
how
man
y d
egre
es d
oes
the
arr
ow
tur
n?
18O
ne h
und
red
peo
ple
wer
e as
ked
whe
ther
the
y us
ed a
gym
or
not.
The
pie
cha
rt s
how
s th
e re
sults
. H
ow
man
y p
eop
le s
aid
no
?
19H
alve
the
exp
ress
ion
on
your
ans
wer
she
et.
20E
ach
sid
e o
f a p
enta
go
n is
eig
ht c
entim
etre
s lo
ng. W
hat
is it
s p
erim
eter
?
21W
hat
is t
wen
ty p
er c
ent
of fi
fty
po
und
s?
‘For
the
nex
t g
roup
of
que
stio
ns y
ou w
ill h
ave
15 s
econ
ds
to w
ork
out
each
ans
wer
and
w
rite
it d
own.
’
22Lo
ok
at t
he n
umb
er m
achi
ne o
n yo
ur a
nsw
er s
heet
.I p
ut in
the
num
ber
tw
o. W
hat
num
ber
sho
uld
co
me
out
?
23Pa
ul w
as b
orn
on
the
fi rst
of A
ugus
t in
nin
etee
n ni
nety
-eig
ht.
Ho
w o
ld w
ill h
e b
e o
n th
e fi r
st o
f Aug
ust
in t
wo
tho
usan
d a
nd n
ine?
24Yo
ur a
nsw
er s
heet
sho
ws
how
Ella
sp
ent
all h
er p
ock
et m
one
y o
ne m
ont
h.W
hat
per
cent
age
did
she
sp
end
on
clo
thes
?
25Li
sa d
id a
sur
vey
to fi
nd o
ut t
he t
ype
of b
oo
ks p
upils
in h
er c
lass
pre
ferr
ed.
The
bar
cha
rt s
how
s he
r re
sults
.H
ow
man
y m
ore
pup
ils c
hose
sto
ry b
oo
ks t
han
po
etry
bo
oks
?
26Lo
ok
at t
he s
had
ed t
riang
le d
raw
n o
n a
cent
imet
re s
qua
re g
rid.
Wha
t is
the
are
a o
f the
tria
ngle
?
27Yo
ur a
nsw
er s
heet
sho
ws
the
coin
s Ja
ck h
as in
his
po
cket
.H
e is
go
ing
to
tak
e a
coin
fro
m h
is p
ock
et a
t ra
ndo
m.
Wha
t is
the
pro
bab
ility
he
will
tak
e a
two
pen
ce c
oin
?
28Lo
ok
at t
he n
ames
of s
hap
es o
n yo
ur a
nsw
er s
heet
.Pu
t a
ring
roun
d t
he n
ame
of t
he s
hap
e th
at h
as o
nly
one
pai
r o
f par
alle
l sid
es.
29Fo
ur p
oin
t th
ree
mul
tiplie
d b
y si
x eq
uals
tw
enty
-fi v
e p
oin
t ei
ght
.W
hat
do
es fo
ur p
oin
t th
ree
mul
tiplie
d b
y tw
elve
eq
ual?
30Lo
ok
at t
he n
umb
ers
on
your
ans
wer
she
et.
Put
a rin
g ro
und
the
num
ber
tha
t is
prim
e.
‘Put
you
r p
ens
dow
n. T
he t
est
is fi
nish
ed.’
Key stage 3 mathematics 2006
Mental mathematics higher tiers Test A
Test AMark scheme
6
Key stage 3 mathematics 2009
Mental mathematics lower tier Test C
Test CMark scheme
Time: 5 seconds
1 801 Do not accept responses given in words
3 £ 27 Condone answersof £27.00
2 120 minutes
4 37 Acceptembedded values,eg 63 + 37 = 100
5 2060
6 5
7 b – 2 Do not accept unconventional notation,
eg 1b – 2
Time: 5 seconds continued
8 5
Time: 10 seconds
9 6
10 60
11 7:30 pm
12 2.9 and 3.1 Accept pair in either order
Accept equivalentfractions or decimals
13 9300
14 0 and –4 Accept pair in either order
15 20 Acceptembedded values,
eg 34 – 20 = 14
16 3.4 Accept equivalent fractions or decimals
7
Time: 10 seconds continued
17 180 °
27 15
Accept equivalentprobabilities
18 75
19 4pq Do not accept unconventional notation,
eg 4 × p × q
20 40 cm
21 £ 10
Time: 15 seconds
22 14
23 11
24 35 % Do not accept equivalent fractions or decimals
Time: 15 seconds continued
25 7
26 6 cm2
28rectangle rhombus
parallelogram
square trapezium
29 51.6 Accept equivalent fractions or decimals
30 21 23 25 27
8
Key
sta
ge
3 m
athe
mat
ics
2009
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
39
Tim
e: 5
sec
ond
s co
ntin
ued
68
p2 –
p26
Tim
e: 5
sec
ond
s
1m
600
cm1
236
2
33
4–
9
54
50.
576
5
7cm
58cm
7
11£
50%
11
Tim
e: 1
0 se
cond
s
8x
+ 7
= 2
28
9p
m45
min
utes
9
10W
alk
Car
Bus
Trai
n
Bik
e
10
1212
13
2kg
3kg
13
14%
won
55%
lost
30%
14
Pup
il an
swer
she
etH
ighe
r ti
ers
test
A q
uest
ions
‘Now
we
are
read
y to
sta
rt t
he t
est.
For
the
fi rst
gro
up o
f q
uest
ions
you
will
hav
e 5
seco
nds
to w
ork
out
each
ans
wer
an
d w
rite
it d
own.
’
1H
ow
man
y m
etre
s ar
e si
x hu
ndre
d c
entim
etre
s?
2Su
btr
act
thirt
y-si
x fr
om
tw
o h
und
red
.
3W
rite
in fi
gur
es t
he n
umb
er t
en t
hous
and
and
ten
.
4Lo
ok
at t
he n
umb
ers
on
your
ans
wer
she
et. A
dd
the
m.
5Lo
ok
at t
he n
umb
er o
n yo
ur a
nsw
er s
heet
. R
oun
d it
to
tw
o d
ecim
al p
lace
s.
6Lo
ok
at t
he e
xpre
ssio
n. W
rite
it as
sim
ply
as
po
ssib
le.
7To
the
nea
rest
cen
timet
re t
he le
ngth
of a
she
lf is
fi ft
y-ei
ght
cen
timet
res.
Wha
t is
the
sm
alle
st v
alue
the
leng
th o
f the
she
lf co
uld
be?
‘For
the
nex
t g
roup
of
que
stio
ns y
ou w
ill h
ave
10 s
econ
ds
to w
ork
out
each
ans
wer
and
w
rite
it d
own.
’
8Lo
ok
at t
he e
qua
tion.
Wha
t is
the
val
ue o
f x?
9I s
tart
ed a
tra
in jo
urne
y at
thr
ee t
wen
ty p
m.
The
jour
ney
last
ed fo
r fo
rty-
fi ve
min
utes
. A
t w
hat
time
did
I ar
rive?
10So
me
pup
ils w
ere
aske
d h
ow
the
y ha
d t
rave
lled
to
sch
oo
l tha
t d
ay.
The
pie
cha
rt s
how
s th
e re
sults
. Whi
ch fo
rm o
f tra
nsp
ort
is t
he m
od
e?
11W
hat
is fi
fty
per
cen
t o
f one
hun
dre
d a
nd t
en p
oun
ds?
12W
rite
do
wn
a m
ultip
le o
f fo
ur t
hat
is g
reat
er t
han
one
tho
usan
d.
13D
raw
an
arro
w o
n th
e sc
ale
to s
how
tw
o p
oin
t tw
o k
ilog
ram
s.
14A
foo
tbal
l tea
m w
on
fi fty
-fi v
e p
er c
ent
of t
heir
gam
es a
nd lo
st t
hirt
y p
er c
ent.
The
rest
end
ed in
a d
raw
. W
hat
per
cent
age
of t
heir
gam
es e
nded
in a
dra
w?
‘Now
tur
n ov
er y
our
answ
er s
heet
.’
15O
n m
y d
esk
I hav
e th
ree
blu
e p
ens,
one
red
pen
and
four
bla
ck p
ens.
I am
go
ing
to
pic
k up
one
of t
he p
ens
at r
and
om
.W
hat
is t
he p
rob
abili
ty t
hat
I will
pic
k up
a b
lack
pen
?
9
Tim
e: 1
5 se
cond
s
251 2
1 325
16
65m
100
m
m16
1710
20
17
1990
12
19
21p
eop
le12
20
%21
2236
km p
er h
our
km22
Tim
e: 1
0 se
cond
s co
ntin
ued
241 9
24
271
23
27
28M
ean
= 1
028
30,
, 45
30
29
4k°
7k°
k°
29
184
(m –
3)
18
23y
= 4
x223
Tim
e: 1
0 se
cond
s co
ntin
ued
153
blu
e, 1
red
, 4 b
lack
15
20
20
26
°26
a
16A
rect
ang
ular
foo
tbal
l pitc
h is
six
ty-fi
ve
met
res
by
one
hun
dre
d m
etre
s.A
foo
tbal
ler
runs
onc
e ar
oun
d t
he p
erim
eter
of t
he p
itch.
Ho
w fa
r d
oes
he
run?
17W
rite
do
wn
a p
rime
num
ber
bet
wee
n te
n an
d t
wen
ty.
18Lo
ok
at t
he e
xpre
ssio
n.W
hen
m is
eig
ht, w
hat
is t
he v
alue
of t
he e
xpre
ssio
n?
19Th
ere
are
nine
ty s
eats
in a
tra
in c
arria
ge.
Ho
w m
any
seat
s ar
e th
ere
in t
wel
ve o
f the
se c
arria
ges
?
20Yo
ur a
nsw
er s
heet
sho
ws
a d
iag
ram
of a
3-D
sha
pe.
Wha
t is
the
mat
hem
atic
al n
ame
of t
his
shap
e?
21Tw
elve
peo
ple
in a
gro
up a
re le
ft-h
and
ed.
Twen
ty p
er c
ent
of t
he g
roup
are
left
-han
ded
.H
ow
man
y p
eop
le a
re in
the
gro
up?
22A
bird
fl ie
s at
an
aver
age
spee
d o
f thi
rty-
six
kilo
met
res
per
ho
ur.
At
this
sp
eed
, ho
w fa
r w
oul
d it
fl y
in t
en m
inut
es?
23Lo
ok
at t
he e
qua
tion.
W
hat
is t
he v
alue
of y
whe
n x
equa
ls t
hree
?
24W
hat
is t
he s
qua
re ro
ot
of o
ne n
inth
?
‘For
the
nex
t g
roup
of
que
stio
ns y
ou w
ill h
ave
15 s
econ
ds
to w
ork
out
each
ans
wer
and
w
rite
it d
own.
’
25I e
at o
ne h
alf o
f a p
izza
.M
y fr
iend
eat
s o
ne t
hird
of t
he p
izza
. Wha
t fr
actio
n o
f the
piz
za is
left
?
26Lo
ok
at t
he re
gul
ar d
ecag
on.
The
ext
erio
r an
gle
mar
ked
a is
thi
rty-
six
deg
rees
.W
hat
is t
he s
ize
of a
n in
terio
r an
gle
?
27I c
an m
ake
a th
ree-
dig
it nu
mb
er u
sing
the
dig
its o
ne, t
wo
and
thr
ee in
si
x d
iffer
ent
way
s. H
ow
man
y o
f the
se t
hree
-dig
it nu
mb
ers
are
even
?
28Th
e m
ean
of t
hree
num
ber
s is
ten
. Tw
o o
f the
num
ber
s ar
e ei
ght
.W
hat
is t
he t
hird
num
ber
?
29Th
e d
iag
ram
sho
ws
thre
e lin
es m
eetin
g a
t a
po
int.
Wo
rk o
ut t
he v
alue
of k
.
30W
rite
do
wn
the
thre
e co
nsec
utiv
e w
hole
num
ber
s th
at a
dd
up
to
fort
y-fi v
e.
‘Put
you
r p
ens
dow
n. T
he t
est
is fi
nish
ed.’
10
Time: 5 seconds
1 6 m Do not accept amended units
4 –4
Time: 5 seconds continued
6 7p2 Do not accept unconventional notation,
eg 7 × p2 or 7pp
11 £ 55
Key stage 3 mathematics 2009
Mental mathematics higher tiers Test A
Test AMark scheme
10 Bus Accept unambiguousindication, eg Bu
5 0.58 Do not accept equivalent fractions or decimals
Time: 10 seconds
8 15 Accept embedded values,eg 15 + 7 = 22
9 4:05 pm
2 164
3 10 010
7 57.5 cm Accept equivalent fractions or decimals
12 Any multiple of 4 greaterthan 1000, eg 1004, 5064
Note that any number is a multiple of 4 where the last two digits constitute a
number that is a multiple of four
13 2.2kg marked on the scale, ie
2kg 3kg
14 15 % Do not accept equivalent fractions or decimals
11
28 14
16 330 m
Time: 10 seconds continued
15 12
Accept equivalent probabilities
30 14, 15, 16 Accept values in any order
29 30 Accept 30°
17 One of 11, 13, 17 or 19
18 20
19 1080
20 cylinder Accept‘circular prism’
21 60 people
22 6 km
23 36
Time: 15 seconds
25 16
Acceptequivalent fractions
Do not accept equivalent decimals
26 144 °
27 2 Accept both even numbers given,ie 132 and 312
Time: 10 seconds continued
24 13
Accept –13 with 13 or alone
Accept 0.33 or better
12
Key
sta
ge
3 m
athe
mat
ics
2009
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
39
Tim
e: 5
sec
ond
s co
ntin
ued
70.
097
Tim
e: 5
sec
ond
s
1m
illim
etre
ski
lom
etre
s
met
res
cent
imet
res
inch
es1
28 y
+ 3
y2
47.
84
360
003
55
88
Tim
e: 1
0 se
cond
s
925
p
£2.
509
10Q
uart
er t
o si
x
min
utes
10
1113
14
15
11
13°C
8°C
13
14%
14
15y
x0
02
2–2
–2
15
60.
36
12K
ey:
= 3
pup
ils
Ap
ple
Ban
ana
pup
ils12
Hig
her
tier
s te
st B
que
stio
ns‘N
ow w
e ar
e re
ady
to s
tart
the
tes
t.
For
the
fi rst
gro
up o
f q
uest
ions
you
will
hav
e 5
seco
nds
to w
ork
out
each
ans
wer
an
d w
rite
it d
own.
’
1Lo
ok
at t
he u
nits
of l
eng
th o
n yo
ur a
nsw
er s
heet
.Pu
t a
ring
roun
d t
he o
ne t
hat
is b
est
used
for
the
dis
tanc
e b
etw
een
two
to
wns
.
2Lo
ok
at t
he e
xpre
ssio
n.
Writ
e it
as s
imp
ly a
s p
oss
ible
.
3W
rite
the
num
ber
tha
t is
thr
ee le
ss t
han
six
tho
usan
d.
4M
ultip
ly s
even
po
int
eig
ht b
y tw
o.
5W
hat
num
ber
is t
hree
cub
ed?
6Th
e p
rob
abili
ty t
hat
I will
hav
e to
ast
for
bre
akfa
st is
no
ught
po
int
thre
e.W
hat
is t
he p
rob
abili
ty t
hat
I will
no
t ha
ve t
oas
t fo
r b
reak
fast
?
7W
rite
noug
ht p
oin
t no
ught
nin
e as
a fr
actio
n.
8M
ultip
ly m
inus
six
by
min
us e
ight
.
‘For
the
nex
t g
roup
of
que
stio
ns y
ou w
ill h
ave
10 s
econ
ds
to w
ork
out
each
ans
wer
and
w
rite
it d
own.
’
9A
car
ton
of o
rang
e d
rink
cost
s tw
enty
-fi v
e p
ence
.H
ow
man
y ca
rto
ns c
an I
buy
for
two
po
und
s fi f
ty?
10I w
as d
elay
ed in
tra
ffi c
fro
m q
uart
er t
o s
ix t
o t
wen
ty p
ast
six
one
eve
ning
.Fo
r ho
w m
any
min
utes
was
I d
elay
ed?
11Lo
ok
at t
he n
umb
ers
on
your
ans
wer
she
et. A
dd
the
m.
12Pu
pils
in a
cla
ss w
ere
aske
d if
the
y w
oul
d p
refe
r an
ap
ple
or
a b
anan
a.Th
e p
icto
gra
m s
how
s th
e re
sults
. Ho
w m
any
pup
ils w
ere
in t
he c
lass
?
13A
t te
n p
m, t
he t
emp
erat
ure
was
eig
ht d
egre
es C
elsi
us.
By
mid
nig
ht t
he t
emp
erat
ure
had
dro
pp
ed b
y te
n d
egre
es.
Wha
t w
as t
he t
emp
erat
ure
at m
idni
ght
?
14Lo
ok
at t
he re
ctan
gle
dra
wn
on
a sq
uare
grid
.W
hat
per
cent
age
of t
he re
ctan
gle
is s
had
ed?
15Pu
t a
cro
ss o
n th
e g
rid t
o s
how
the
po
int
with
co
ord
inat
es m
inus
tw
o, o
ne.
‘Now
tur
n ov
er y
our
answ
er s
heet
.’
Pup
il an
swer
she
et
13
17cm
4cm
17
Tim
e: 1
0 se
cond
s co
ntin
ued
16
0%
Yes
No
100%
%16
18
°
30°
x
18
19ho
urs
1819
20%
£
220
21y
= 3
x –
721
22
10cm
8cm
cm22
2665
83
26
Tim
e: 1
5 se
cond
s
24 a
nd
24
28N
umb
er o
fch
ildre
nFr
eque
ncy
child
ren
28
251c
m :
2km
7
1 2cm km
25
27(3
+ b
)2
527
292
: 3 :
4
° ,° ,
°29
30
3cm
3cm 6
912
1827
30
233y
(5 –
y)
23
£5
0 111 1
2 33
4
4
16A
tea
cher
ask
ed p
upils
in a
cla
ss ‘D
o y
ou
have
a p
et?’
The
per
cent
age
bar
cha
rt s
how
s th
e re
sults
.E
stim
ate
the
per
cent
age
of p
upils
who
sai
d n
o.
17A
reg
ular
pen
tag
on
has
a si
de
leng
th o
f fo
ur c
entim
etre
s. W
hat
is it
s p
erim
eter
?
18Lo
ok
at t
he is
osc
eles
tria
ngle
. Wha
t is
the
siz
e o
f ang
le x
?
19O
n a
spo
nso
red
wal
k, I
wal
ked
four
mile
s in
eac
h ho
ur.
Ho
w lo
ng d
id it
tak
e m
e to
wal
k ei
ght
een
mile
s?
20Th
e p
rices
of m
eals
in a
can
teen
are
incr
ease
d b
y fi v
e p
er c
ent.
W
hat
is t
he n
ew p
rice
if th
e o
ld p
rice
was
tw
o p
oun
ds?
21Lo
ok
at t
he e
qua
tion.
Wha
t is
the
val
ue o
f x w
hen
y is
tw
enty
?
22A
rect
ang
ular
pho
tog
rap
h m
easu
res
eig
ht c
entim
etre
s b
y te
n ce
ntim
etre
s.I e
nlar
ge
the
pho
tog
rap
h so
tha
t th
e sh
ort
er s
ide
is t
wel
ve c
entim
etre
s.W
hat
is t
he le
ngth
of t
he lo
nger
sid
e?
23Lo
ok
at t
he e
xpre
ssio
n. M
ultip
ly o
ut t
he b
rack
ets.
‘For
the
nex
t g
roup
of
que
stio
ns y
ou w
ill h
ave
15 s
econ
ds
to w
ork
out
each
ans
wer
and
w
rite
it d
own.
’
24I a
m t
hink
ing
of t
wo
num
ber
s th
at a
dd
to
tw
elve
.O
ne n
umb
er is
tw
o m
ore
tha
n th
e o
ther
. Wha
t ar
e m
y tw
o n
umb
ers?
25Th
e sc
ale
of a
map
is o
ne c
entim
etre
to
tw
o k
ilom
etre
s.O
n th
e m
ap t
wo
pla
ces
are
seve
n an
d a
hal
f cen
timet
res
apar
t.W
hat
is t
he a
ctua
l dis
tanc
e b
etw
een
the
two
pla
ces?
26O
ne h
und
red
pup
ils s
tud
y Fr
ench
, Ger
man
or
bo
th la
ngua
ges
.Si
xty-
fi ve
pup
ils s
tud
y Fr
ench
and
eig
hty-
thre
e p
upils
stu
dy
Ger
man
.H
ow
man
y st
udy
bo
th la
ngua
ges
?
27Lo
ok
at t
he e
xpre
ssio
n. W
hen
b is
sev
en, w
ork
out
the
val
ue o
f the
exp
ress
ion.
28Th
e ta
ble
sho
ws
the
num
ber
of c
hild
ren
in t
en fa
mili
es.
Ho
w m
any
child
ren
are
ther
e al
tog
ethe
r?
29Th
e an
gle
s in
a t
riang
le a
re in
the
rat
io t
wo
to
thr
ee t
o fo
ur.
Wha
t ar
e th
e si
zes
of t
he t
hree
ang
les?
30Th
e d
iag
ram
sho
ws
a rig
ht-a
ngle
d t
riang
le.
Whi
ch v
alue
und
er t
he t
riang
le s
how
s th
e le
ngth
of t
he h
ypo
tenu
se?
Put
a rin
g ro
und
the
co
rrec
t va
lue.
‘Put
you
r p
ens
dow
n. T
he t
est
is fi
nish
ed.’
14
Key stage 3 mathematics 2009
Mental mathematics higher tiers Test B
Test BMark scheme
Time: 5 seconds
1millimetres kilometres
metres
centimetres inches
2 11y Do not accept unconventional notation,
eg 11 × y
3 5997
4 15.6 Accept equivalent fractions or decimals
5 27
6 0.7 Accept equivalent probabilities
Time: 5 seconds continued
7 9100
Acceptequivalent decimals
Do not accept equivalent fractions
8 48
Time: 10 seconds
9 10
10 35 minutes
11 42
12 21 pupils
13 –2 °C
14 75 % Do not accept equivalent fractions or decimals
15 y
x00
2
2–2
–2
15
Time: 15 seconds
24 5 and 7 Accept pair ineither order
23 15y – 3y2Accept
unconventional notation,eg 15 × y – 3y × y
Do not accept incomplete processing,
eg 5 × 3y – 3y2
Time: 10 seconds continued
16 30 % answer 40 %
Do not accept equivalent fractions or decimals
17 20 cm
18 75 °
194
12 hours Accept equivalent
fractions or decimals
Accept4 hours 30 minutes
20 £ 2.10
21 9
22 15 cm
25 15 km
26 48
27 20
28 22 children
29 40 °, 60 °, 80 °
Accept values in any order
30 6 9 12
18 27
29 Bolton StreetLondon W1J 8BT
Telephone: 08700 60 60 40Minicom: 020 7509 6546Fax: 020 7509 5908
Email: [email protected]: www.naa.org.uk/tests
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