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KS
3/0
9/M
a/T
ier
4–6/P
1
3
Do
cto
rs
1.
In a
surv
ey,
peo
ple
were
asked
:
Ho
w g
oo
d is y
our
do
cto
r?
The p
ie c
hart
sh
ow
s t
he r
esults.
Very
go
od
Satisfa
cto
ry
Po
or
Very
po
or
Do
n’t
kno
w
Ke
y:
(a)
Ab
out
what
perc
enta
ge o
f th
e p
eo
ple
said
‘S
ati
sfa
cto
ry’?
%
(b)
Alto
geth
er, a
bo
ut
what
perc
enta
ge o
f th
e p
eo
ple
said
‘P
oo
r’ o
r ‘V
ery
po
or’
?
%
(c)
Giv
e o
ne r
easo
n w
hy a
pers
on m
ay s
ay ‘D
on
’t k
no
w’.
1 m
ark
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
4
Usin
g t
ens
2.
Fill
in t
he b
oxes t
o c
om
ple
te e
ach n
um
ber
chain
.
Use a
ny o
f th
e f
ollo
win
g:
+10
–10
×10
÷10
450
45
450
35
450
46
1 m
ark
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
5
Card
shap
e
3.
Sam
ir h
as a
pie
ce o
f card
that
is g
rey o
n o
ne s
ide a
nd
white o
n t
he o
ther.
He c
uts
out
this
shap
e f
rom
the c
ard
.
He t
urn
s o
ver
the s
hap
e s
o t
hat
the w
hite s
ide is s
ho
win
g.
Tic
k (
) a
ll t
he s
hap
es b
elo
w t
hat
sho
w t
he w
hit
e s
ide o
f S
am
ir’s
shap
e.
2 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
6
Num
ber
lines
4.
Write
in t
he m
issin
g n
um
bers
.
–1
–3
7
++
+7
3
+10
1 m
ark
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
7
Rho
mb
us g
rid
5.
Lo
ok a
t th
e s
had
ed
shap
es.
A
Iso
metr
ic
grid
B
(a)
The a
rea o
f shap
e A
is 3
cm
2
What
is t
he a
rea o
f shap
e B
?
cm
2
(b)
On t
he g
rid
, d
raw
a t
ria
ng
le t
hat
has a
n a
rea o
f 6
cm
2
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
8
Mis
sin
g d
igits
6.
Write
the m
issin
g d
igits in e
ach c
alc
ula
tio
n b
elo
w.
The fi
rst
one is d
one f
or
yo
u.
19
×3
=5
7
×3
=5
1
×3
=4
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
9
Clo
cks
7.
(a)
I sta
rted
sw
imm
ing
at
9a
m.
12 6
39
When I fi
nis
hed
sw
imm
ing
, th
e m
inu
te h
an
d o
f th
e c
lock h
ad
tu
rne
d 3
60°
What
tim
e d
id I fi
nis
h s
wim
min
g?
(b)
I sta
rted
walk
ing
at
3p
m.
12 6
39
When I fi
nis
hed
walk
ing
, th
e h
ou
r h
an
d o
f th
e c
lock h
ad
tu
rne
d 9
0°
What
tim
e d
id I fi
nis
h w
alk
ing
?
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
10
Sum
of
80
8.
Lo
ok a
t th
is s
et
of
four
num
ber
card
s.
20
20
20
20
The
su
m o
f th
ese n
um
bers
is 8
0
No
w lo
ok a
t th
e t
wo
sets
of
num
ber
card
s b
elo
w.
Se
t A
Se
t B
17
18
19
20
21
22
23
24
Whic
h s
et
has a
su
m t
hat
is c
lose
r to
80?
Set
AS
et
B
Exp
lain
yo
ur
an
sw
er.
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
11
Num
ber
chain
s
9.
(a)
A n
um
ber
chain
sta
rts
12
5
To f
ind
the n
ext
num
ber
yo
u u
se t
he r
ule
×
3th
en – 1
Write
the n
ext
two
num
bers
in t
he n
um
ber
ch
ain
.
12
5
(b)
Here
is a
diffe
rent
num
ber
chain
.
39
27
81
What
co
uld
the r
ule
be t
o f
ind
the n
ext
num
ber?
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
12
Makin
g 1
10.
(a)
Jo
in a
ll th
e p
airs o
f num
bers
that
ad
d t
og
eth
er
to e
qual 1
The f
irst
one is d
one f
or
yo
u.
0.1
0.1
1
0.0
1
0.9
1
0.0
01
0.9
9
0.9
0.9
99
0.8
9
0.0
9
(b)
No
w jo
in a
ll th
e p
airs o
f num
bers
that
mu
ltip
ly t
o e
qual 1
The f
irst
one is d
one f
or
yo
u.
1 0.5
0.2
5
0.1
0.0
5
2 4 1
20
10
2 m
ark
s
2 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
13
T-shirts
11.
Paul has 1
5 T
-shirts
.
The info
rmatio
n s
ho
ws t
he c
olo
urs
of
his
T-s
hirts
.
5 b
lack
3 w
hite
3 r
ed
2 d
ark
blu
e
1 lig
ht
blu
e
1 y
ello
w
Paul is
go
ing
to
take o
ne o
f his
T-s
hirts
at
rand
om
.
(a)
What
is t
he p
rob
ab
ility
that
the T
-shirt
will
be r
ed
?
(b)
What
is t
he p
rob
ab
ility
that
the T
-shirt
will
no
t b
e b
lac
k?
(c)
He t
akes o
ne o
f his
blu
eT-
shirts
at
rand
om
.
What
is t
he p
rob
ab
ility
that
the T
-shirt
is lig
ht
blu
e?
1 m
ark
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
14
Wate
r
12.
Zak h
as s
om
e w
ate
r in
a jug
.
2 1
litre
s
He p
ours
this
wate
r in
to t
he jug
belo
w.
Dra
w t
he c
orr
ect
level o
f th
e w
ate
r o
n t
he jug
.
1000
800
600
400
200
mill
ilitr
es
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
15
Bo
xes
13.
Lis
a h
as s
om
e b
oxes t
hat
are
all
cub
es o
f th
e s
am
e s
ize.
She u
ses f
our
of
the b
oxes t
o m
ake a
pile
with
a h
eig
ht
of
72
cm
.
She p
uts
one m
ore
bo
x o
n t
op
of
the p
ile.
72
cm
?
Wo
rk o
ut
the h
eig
ht
of
the p
ile o
f fi
ve
bo
xes.
cm
2 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
16
Perc
enta
ges
14.
(a)
Work
out
5%
of
360
(b)
Work
out
15%
of
360
Yo
u c
an u
se p
art
(a) to
help
yo
u.
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
17
Num
ber
grid
s
15.
In t
hese n
um
ber
grid
s, tw
o n
um
bers
are
ad
ded
to
giv
e t
he n
um
ber
belo
w.
Exam
ple
:
13
12
25
13 +
12 =
25
Write
num
bers
in t
he n
um
ber
grid
s b
elo
w t
o m
ake t
hem
co
rrect.
22
35
17
7
12
3
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
18
Ang
les in a
triang
le
16.
Lo
ok a
t th
e r
ight-
ang
led
triang
le A
BC
.
70
°
A
BC
x
zy
No
t d
raw
n
accura
tely
The s
quare
fits
exactly insid
e t
he t
riang
le.
Wo
rk o
ut
the s
izes o
f ang
les x
,y
and
z
x =
°
y =
°
z =
°
3 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
19
Fin
din
g b
, M
atc
hin
g
17.
Lo
ok a
t th
ese e
quatio
ns.
11
=6
+a
a+
7=
10
+b
Use
bo
th e
quatio
ns t
o w
ork
out
the v
alu
e o
f b b =
2 m
ark
s
18.
Matc
h e
ach
instr
uctio
n o
n t
he left
with a
n instr
uctio
n o
n t
he r
ight
that
has
the
sa
me
eff
ec
t.
The fi
rst
one is d
one f
or
yo
u.
Sub
tract
0
Ad
d 0
Ad
d1 2
Ad
d 2
Sub
tract
1 2
Sub
tract
2A
dd
–2
Sub
tract
–2
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
20
Oak leaves
19.
Pup
ils a
re in
vestig
ating
oak leaves.
They w
ant
to c
olle
ct
a s
am
ple
of
oak leaves.
Here
is t
heir p
lan f
or
ho
w t
o c
olle
ct
the s
am
ple
.
Pla
n
Cho
ose o
ne o
ak t
ree.
Take 1
0 leaves f
rom
the lo
west
bra
nches o
f th
e t
ree.
Giv
etw
o r
easo
ns w
hy t
his
sam
ple
of
leaves m
ay
no
t b
e r
ep
rese
nta
tive
of
all
oak leaves.
First
reaso
n:
Seco
nd
reaso
n:
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
21
Mis
sin
g leng
ths
20.
Lo
ok a
t th
e r
ecta
ng
le.
x
y 6.1
cm
4cm
No
t d
raw
n
accura
tely
The
tota
l a
rea
of
the r
ecta
ng
le is 4
0c
m2
Wo
rk o
ut
leng
ths x
and
y
x=
cm
y
=
cm
2 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
22
Co
unte
rs
21.
(a)
Bag
s A
an
d B
co
nta
in s
om
e c
ounte
rs.
6y
+ 1
co
unte
rs
Bag
A
4y
+ 7
co
unte
rs
Bag
B
The n
um
ber
of
co
unte
rs in e
ach b
ag
is t
he
sa
me
.
Wo
rk o
ut
the v
alu
e o
f y
(b)
Bag
C c
onta
ins m
ore
co
unte
rs t
han b
ag
D.
4k
co
unte
rs
Bag
C
k+
12
co
unte
rs
Bag
D
What
is t
he s
ma
lle
st
po
ssib
le v
alu
e o
f k?
2 m
ark
s
2 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
23
Prize
mo
ney
22.
Gary
to
ok p
art
in a
quiz
sho
w a
nd
wo
n a
millio
n p
ou
nd
s.
He s
pent
£20
000
on a
ho
liday.
Then h
e s
pent
ha
lf o
f th
e m
on
ey le
ft o
n a
ho
use.
Ho
w m
uch d
id G
ary
’s h
ouse c
ost?
£2 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
24
Co
rrela
tio
n
23.
Lo
ok a
t th
ese t
wo
scatt
er
gra
phs. T
hey a
re b
oth
dra
wn u
sin
g t
he s
am
e s
cale
.
Gra
ph A
Gra
ph B
(a)
Whic
h s
catt
er
gra
ph s
ho
ws p
osit
ive
co
rrela
tio
n?
AB
Exp
lain
yo
ur
an
sw
er.
(b)
Whic
h s
catt
er
gra
ph s
ho
ws s
tro
ng
er
co
rrela
tio
n?
AB
Exp
lain
yo
ur
an
sw
er.
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
25
Shap
e r
ule
s
24.
Lo
ok a
t th
e s
eq
uence o
f shap
es o
n a
sq
uare
grid
.
Shap
e
num
ber
1
Shap
e
num
ber
2
Shap
e
num
ber
3
Shap
e
num
ber
4
The t
ab
le s
ho
ws info
rmatio
n a
bo
ut
these s
hap
es.
Shap
e n
um
ber
N
Base
B
Heig
ht
H
Are
aA
14
24
24
36
34
48
44
510
Ru
les c
onnect
N,
B,
H a
nd
A.
Write
one m
issin
g lett
er
in e
ach s
pace b
elo
w t
o c
om
ple
te t
he r
ule
.
H=
+1
A=
×2
=2
N+
22 m
ark
s
KS
3/0
9/M
a/T
ier
4–6/P
1
26
Fo
rtie
ths
25.
Lo
ok a
t th
is info
rmatio
n.
27
40
= 0.6
75
29
40
= 0.7
25
Use t
his
info
rmatio
n t
o w
rite
the m
issin
g d
ec
ima
ls b
elo
w.
31
40
=
23
40
=
1 m
ark
1 m
ark
KS
3/0
9/M
a/T
ier
4–6/P
1
27
Exp
ressio
ns
26.
In t
his
questio
n, n
sta
nd
s f
or
any w
ho
le n
um
be
r.
(a)
Fo
r th
e e
xp
ressio
n 2
n, tick (
) th
e c
orr
ect
sta
tem
ent
belo
w.
2n
must
be o
dd
.
2n
must
be e
ven.
2n
co
uld
be o
dd
or
even.
Exp
lain
yo
ur
an
sw
er.
(b)
Fo
r th
e e
xp
ressio
n 3
n, tick (
) th
e c
orr
ect
sta
tem
ent
belo
w.
3n
must
be o
dd
.
3n
must
be e
ven.
3n
co
uld
be o
dd
or
even.
Exp
lain
yo
ur
an
sw
er.
1 m
ark
1 m
ark
PL
EA
SE
TU
RN
OV
ER
ISB
N N
o:
978-1
-84721-7
02-8
QC
A/0
9/3
786 (
Pu
pil
pack
)
© Q
ualifi
cati
ons
and
Curr
iculu
m A
uth
ori
ty 2
00
9
QC
A/0
9/3
783 (
Mark
sch
em
e p
ack
) 290009
KS
3/0
9/M
a/T
ier
4–6/P
1
28
EN
D O
F T
ES
T
Ratio
, P
ow
ers
27.
On t
his
neckla
ce t
he r
atio
of
bla
ck b
ead
s t
o w
hite b
ead
s is 1 : 3
Ho
w m
any m
ore
bla
ck b
ead
s d
o y
ou n
eed
to
ad
d t
o m
ake t
he r
atio
of
bla
ck t
o w
hite 3 : 1
?
bla
ck b
ead
s1 m
ark
28.
Sho
w t
hat
the d
iffe
ren
ce
betw
een 3
2and
33
is 1
8
1 m
ark
