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GO O
N
Name
Practice Test
3.O
A.A
.1
Represent and solve problems
involving multiplication and division.
1.
Alo
ndra
makes
4 n
eckla
ces.
She u
ses
5 b
eads
on e
ach
neckla
ce. W
hic
h n
um
ber
sente
nce c
ould
be u
sed t
o f
ind
the n
um
ber
of
beads
Alo
ndra
use
s?
A
4 ×
5 =
■
B
4
+ 4
+ 4
+ 4
= ■
C
5
+ 5
+ 5
+ 5
+ 5
= ■
D
5
+ 4
= ■
2.
A w
aiter
carr
ied 6
bask
ets
with 5
din
ner
rolls
in
each b
ask
et. H
ow
many
din
ner
rolls
did
he c
arr
y?
Show
your
work
.
30
din
ner
rolls
3.
Lucy
and h
er
moth
er
made t
acos.
They
put
2 t
acos
on
each o
f 7
pla
tes.
Sele
ct
the n
um
ber
sente
nces
that
show
all
the t
acos
Lucy
and h
er
moth
er
made. M
ark
all
that
apply
.
A
2 +
7 =
9
B
7 +
7 =
14
C
8 +
6 =
14
D
2 ×
7 =
14
1Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
A b
ookcase
has
4 s
helv
es.
Each
sh
elf h
old
s 5
books.
H
ow
man
y b
ooks
are
in
th
e b
ookcase
?
D
raw
cou
nte
rs t
o m
od
el th
e p
rob
lem
. Th
en
exp
lain
how
yo
u s
olv
ed
th
e p
rob
lem
.
5.
Carl
os
spen
t 5
min
ute
s w
ork
ing
on
each
of
8 m
ath
p
rob
lem
s. W
hic
h n
um
ber
sen
ten
ce s
how
s th
e t
ota
l n
um
ber
of
min
ute
s C
arl
os
spen
t on
th
e m
ath
pro
ble
ms?
A
8 ×
8 =
64
B
7 +
6 =
13
C
5 +
8 =
13
D
5 ×
8 =
40
6.
Th
ere
are
3 b
oats
on
th
e lake. S
ix p
eop
le r
ide in
each
b
oat. H
ow
man
y p
eop
le r
ide in
th
e b
oats
? D
raw
cir
cle
s to
mod
el th
e p
rob
lem
an
d e
xpla
in h
ow
to s
olv
e it.
18
p
eop
le
Po
ss
ible
ex
pla
na
tio
ns
: S
tud
en
ts m
ay
co
un
t th
e n
um
be
r
of
cir
cle
s, a
dd
6 ∙
6 ∙
6, o
r m
ult
iply
3 ∙
6.
20
bo
ok
s;
Po
ss
ible
ex
pla
na
tio
n:
I d
rew
5 c
ou
nte
rs i
n e
ach
gro
up
, a
nd
th
en
I s
kip
co
un
ted
by
5s
. 5
, 10
, 15
, 2
0
2Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
1-2 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.O
A.A
.2
Represent and solve problems
involving multiplication and division.
1.
The c
oach s
epara
ted t
he 1
8 p
laye
rs a
t la
cro
sse
pra
ctice into
3 d
iffe
rent
gro
ups.
How
many
pla
yers
w
ere
in e
ach g
roup?
6
pla
yers
2.
Tyr
one t
ook 1
6 p
ennie
s fr
om
his
bank a
nd p
ut
them
in
4 e
qual st
acks.
How
many
pennie
s w
ere
in e
ach s
tack?
Show
your
work
.
4
pennie
s
3.
Darius
bakes
18 m
uff
ins
for
his
friends.
He g
ives
each
of his
fr
iends
an e
qual n
um
ber
of m
uff
ins
and h
as
none le
ft o
ver.
Pa
rt
A
Dra
w a
pic
ture
to s
how
one w
ay
that
Dari
us
could
have
div
ided t
he m
uff
ins
and c
om
ple
te t
he s
ente
nce.
Ch
eck
stu
de
nts
’ wo
rk. A
nsw
ers
may
va
ry.
Dari
us
gave
muff
ins
to
frie
nds.
Pa
rt
B
Could
Dari
us
have
div
ided a
ll of
his
muff
ins
equally
am
ong
4 o
f his
fri
ends?
Exp
lain
why
or
why
not.
Po
ss
ible
ex
pla
na
tio
n:
No
, 18
ca
nn
ot
be
div
ide
d i
nto
4
gro
up
s o
f w
ho
le m
uff
ins
wit
h n
on
e l
eft
ove
r.
Po
ss
ible
an
sw
ers
: 2
, 3
, 6
, 9
, o
r 18
3Practice Test
Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
A w
ork
book is
64
pages
long. If e
ach c
hapte
r is
8 p
ages
long, how
many
chapte
rs a
re t
here
?
8
chapte
rs
5.
Eliz
abeth
has
12
hors
es
on h
er
farm
. She p
uts
an e
qual
num
ber
of
hors
es
in e
ach o
f 3
pens.
How
many
hors
es
are
in e
ach p
en?
C
ircle
a n
um
ber
that
makes
the s
ente
nce t
rue.
T
here
are
4 9 36
hors
es
in e
ach p
en.
6.
There
are
7 c
ars
in a
n a
muse
ment
park
rid
e. There
are
4
2 p
eople
div
ided e
qually
am
ong t
he 7
cars
. H
ow
many
people
rid
e in o
ne c
ar?
42 people
6
people
7.
There
were
40
fin
gers
tota
l on t
he n
um
ber
of
glo
ves
Mrs
. Edw
ard
s knitte
d. H
ow
many
glo
ves
did
M
rs. Edw
ard
s knit?
55
40 fingers
8
glo
ves
4Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
3-4 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.O
A.A
.3
Represent and solve problems
involving multiplication and division.
1.
José
buys
6 b
ags
of
flour. E
ach b
ag w
eig
hs
5 p
ounds.
H
ow
many
pounds
of
flour
did
José
buy?
30
pounds
2.
Mari
ssa is
buyi
ng a
new
rug. The r
ug is
8 f
eet
long a
nd
4 f
eet
wid
e. W
hat
is t
he a
rea o
f th
e r
ug?
8 ×
4 =
32
sq
uare
feet
3.
Ana u
sed 4
9 s
traw
berr
ies
to m
ake s
traw
berr
y sm
ooth
ies.
She u
sed 7
str
aw
berr
ies
in e
ach s
mooth
ie. H
ow
many
stra
wberr
y sm
ooth
ies
did
Ana m
ake?
7
st
raw
berr
y sm
ooth
ies
4.
Chri
s pla
nts
40
pum
pkin
seeds
in 5
equal ro
ws.
How
m
any
seeds
does
Chri
s pla
nt
in e
ach r
ow
?
M
ake a
n a
rray
to r
epre
sent
the p
roble
m. Then s
olv
e
the p
roble
m.
8
se
eds
5Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
5.
Mrs
. R
uiz
sort
ed s
pools
of
thre
ad into
6 b
oxe
s.
Each b
ox
hold
s 6
spools
. H
ow
many
spools
of
thre
ad
does
Mrs
. R
uiz
have
?
D
raw
cir
cle
s to
model th
e p
roble
m. Then s
olv
e. Exp
lain
how
you s
olv
ed t
he p
roble
m.
6.
Min
g’s
gard
en h
as
an a
rea o
f 3
5 s
quare
feet. T
he length
of
the g
ard
en is
7 f
eet. W
hat
is t
he w
idth
of
Min
g’s
gard
en?
35
÷ 7
= a
7 ×
a =
35
A
4 f
eet
C
6
feet
B
5 f
eet
D
7
feet
7.
Lin
dsa
y w
ent
hik
ing f
or
two d
ays
in Y
ello
wst
one N
ational
Park
. The f
irst
jum
p o
n t
he n
um
ber
line s
how
s how
many
bir
ds
she s
aw
the f
irst
day.
She s
aw
the s
am
e n
um
ber
of
bir
ds
the n
ext
day.
W
rite
the m
ultip
lication s
ente
nce t
hat
the n
um
ber
line
show
s.
2
×
8
=
16
01234567891011121314151617181920
36 spools; Possible explanations: Students m
ay m
ultiply 6 ∙
6,
count by sixes, or multiply 2 ∙
6 ∙
12 and triple the product.
6Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
5-6 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
1.
In w
hic
h n
um
ber
sente
nces
is t
he u
nknow
n
facto
r 6
? M
ark
all
that
apply
.
A
4 ×
■ =
32
B ■
× 6
= 3
6
C
8 ×
■ =
49
D ■
× 3
= 1
8
2.
Devo
n h
as
80
books
to p
ack in b
oxe
s. S
he p
acks
10
books
in e
ach b
ox.
How
many
boxe
s does
she n
eed?
W
rite
an e
quation u
sing t
he lett
er
n t
o s
tand f
or
the
unknow
n f
acto
r. E
xpla
in h
ow
to f
ind t
he u
nknow
n f
acto
r.
3.
Cir
cle
the u
nknow
n f
acto
r and q
uotient.
8 ×
6 7 8
= 4
8
6 7 8
= 4
8 ÷
8
4.
Keith a
rranged 4
0 t
oy
cars
in 8
equal ro
ws.
How
many
toy
cars
are
in e
ach r
ow
?
toy
cars
Practice Test
3.O
A.A
.4
Represent and solve problems
involving multiplication and division.
n ×
10
= 8
0. P
os
sib
le e
xp
lan
ati
on
: I
ca
n d
raw
an
arr
ay
of
5
80
sq
ua
res
wit
h 1
0 s
qu
are
s i
n e
ach
ro
w. T
he
re a
re 8
ro
ws
,
so
n =
8. D
evo
n n
ee
ds
8 b
oxe
s.
7Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
5.
The c
am
pin
g c
lub w
ants
to r
ent
raft
s. E
ach r
aft
can
hold
8 p
eople
. W
hic
h e
quation c
ould
be u
sed t
o f
ind
how
many
raft
s are
needed f
or
32
people
?
A
8
× 3
2 =
■
B
32
× ■
= 8
C ■
× 8
= 3
2
D
32
× 8
= ■
6.
Whic
h n
um
ber
makes
the e
quation t
rue?
36
÷ 4
= ■
A
32
B
16
C
13
D
9
7.
Wri
te t
he n
um
ber
that
makes
the e
quation t
rue.
6 ×
=
24
4
8Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
7-8 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.O
A.B
.5
Understand properties of
multiplication and the relationship between
multiplication and division.
1.
Bre
ak a
part
the a
rray
to s
how
8 ×
6 =
(4
× 6
) +
(4
× 6
).
2.
Nadia
has
4 s
heets
of
stic
kers
. There
are
8 s
tickers
on
each s
heet. S
he w
rote
this
num
ber
sente
nce t
o r
epre
sent
the t
ota
l num
ber
of
stic
kers
.
4 ×
8 =
32
W
hat
is a
rela
ted n
um
ber
sente
nce t
hat
als
o r
epre
sents
th
e t
ota
l num
ber
of
stic
kers
she h
as?
A
8 +
4 =
■
B
4 +
4 +
4 +
4 =
■
C
8 ×
8 =
■
D
8 ×
4 =
■
3.
Make t
rue e
quations.
Sele
ct
a n
um
ber
to c
om
ple
te t
he
equation.
0
1
7
7 ÷
7 =
7
÷ 1
=
0
÷ 7
=
17
0
9Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Sele
ct
the n
um
ber
sente
nces
that
show
the C
om
muta
tive
Pro
pert
y of
Multip
lication. M
ark
all
that
apply
.
A
3 ×
2 =
2 ×
3
B
4 ×
9 =
4 ×
9
C
5 ×
0 =
0
D
6 ×
1 =
1 ×
6
E
7 ×
2 =
14
× 1
5.
Cir
cle
gro
ups
to s
how
3 ×
(2
× 3
).
6.
Whic
h n
um
ber
sente
nces
have
the s
am
e v
alu
e a
s 7
× 5
? M
ark
all
that
apply
.
A
7 +
(3
+ 2
) =
■
B
7 ×
(3
+ 2
) =
■
C
(5 ×
4) +
(5
× 3
) =
■
D
(7 ×
2) +
(7
× 5
) =
■
10
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
9-10 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.O
A.B
.6
Understand properties of
multiplication and the relationship
between multiplication and division.
1.
Phili
p h
as
30
pennie
s th
at
he e
xchanges
for
nic
kels
. H
e e
xchanges
5 p
ennie
s fo
r each n
ickel.
How
many
nic
kels
does
Phili
p g
et?
Rin
g e
qual gro
ups
to m
odel th
e p
roble
m.
6
nic
kels
2.
There
are
56
apple
s packed in 7
bask
ets
with t
he s
am
e
num
ber
of
apple
s in
each b
ask
et. H
ow
many
apple
s are
in
each b
ask
et?
Exp
lain
how
you f
ound y
our
answ
er.
8 a
pp
les
; P
os
sib
le e
xp
lan
ati
on
: I
div
ide
d 5
6 b
y 7
to
fi n
d
ho
w m
an
y a
pp
les
are
in
ea
ch
ba
ske
t.
3.
There
are
35
pri
zes
in 5
equal ro
ws.
How
many
pri
zes
are
in e
ach r
ow
?
C
om
ple
te e
ach e
quation t
o r
epre
sent
the p
roble
m.
5
×
7
=
35
3
5 ÷
5 =
7
7
pri
zes
11
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Use
the t
iles
to w
rite
the n
um
bers
that
com
ple
te t
he
num
ber
puzz
le.
37
81
21
45
4
Exp
lain
how
you f
ound t
he n
um
ber
in t
he c
ircle
.
Po
ss
ible
ex
pla
na
tio
n:
I h
ad
to
fi r
st
fi n
d t
he
un
kn
ow
n
fac
tor
in t
he
mu
ltip
lic
ati
on
co
lum
n f
or
row
2. I
div
ide
d
63
by
9, w
hic
h g
ive
s 7
. Th
en
I m
ult
ipli
ed
7 ×
2 =
14
to
fi n
d t
he
nu
mb
er
in t
he
cir
cle
.
5.
Cir
cle
num
bers
to c
om
ple
te t
he r
ela
ted f
acts
.
×
8 =
72
7
2 ÷
=
8
6.
Penn h
as
18
eggs
to u
se in s
om
e r
ecip
es.
Sele
ct
a w
ay
that
he c
ould
div
ide t
he e
ggs
equally
am
ong s
om
e
recip
es.
Mark
all
that
apply
.
7 9 64
80
7 8 9 64
×9
2
61
8
63
21
72
24
16
A 6
eggs
in e
ach o
f 3
recip
es
D
4
eggs
in e
ach o
f 4
recip
es
B 5
eggs
in e
ach o
f 3
recip
es
E
9
eggs
in e
ach o
f 2
recip
es
C 2
eggs
in e
ach o
f 9
recip
es
F
3
eggs
in e
ach o
f 6
recip
es
3
54
12
14
7 8
12
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
11-12 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.O
A.C
.7
Multiply and divide within 100.
1.
Bella
made $
21
selli
ng b
race
lets
. She w
ants
to k
now
how
many
bra
cele
ts s
he s
old
. Bella
use
d t
his
num
ber
line.
Wri
te t
he d
ivis
ion e
quation t
hat
the n
um
ber
line
repre
sents
.
÷
=
2.
Ett
a b
uys
som
e r
ibbon a
nd c
uts
it
into
7 p
iece
s th
at
are
th
e s
am
e length
. Each
pie
ce is
9 inch
es
long. H
ow
long
was
the r
ibbon t
hat
Ett
a b
ought?
63
inch
es
3.
Com
ple
te t
he c
hart
to s
how
the q
uotients
.
÷27
36
54
45
93
46
5
4.
Use
the n
um
bers
to w
rite
rela
ted m
ultip
lication a
nd
div
isio
n f
act
s.
9
45
5
69
1215
1821
30
9 ×
5 =
45; 45 ÷
5 =
9; 5 ×
9 =
45; 45 ÷
9 =
5
21
37
13
Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
Practice Test
STOP
Name
Practice Test
5.
Each p
icnic
table
seats
6 p
eople
. H
ow
many
pic
nic
table
s are
needed t
o s
eat
24
people
? E
xpla
in t
he s
trate
gy
you
use
d t
o s
olv
e t
he p
roble
m.
6.
Cir
cle
the s
ymbol th
at
makes
the m
ultip
lication s
ente
nce
true.
9 ×
6
> < =
3 ×
(3
× 9
)
7.
Sele
ct
the e
quations
that
repre
sent
the a
rray.
Mark
all
that
apply
.
A
3 ×
5 =
■
D
5 ×
■ =
15
B
2 ×
■ =
12
E
1
2 ÷
3 =
■
C ■
÷ 3
= 5
F
1
5 ÷
5 =
■
8.
Wri
te r
ela
ted f
acts
for
the a
rray.
Exp
lain
why
there
are
not
more
rela
ted f
acts
.
4 picnic tables; Possible explanation: I used the related
multiplication fact 6 ×
4 =
24.
6 ×
6 =
36; 36 ÷
6 =
6; Possible explanation: there are only
two equations because both factors are the same.
14
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ifflin Harcourt Publishing Company
Practice Test
13-14 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
3.
Bella
is
pla
nnin
g t
o w
rite
in a
journ
al.
Som
e p
ages
will
have
1 journ
al entr
y on t
hem
, and o
ther
pages
will
have
2 journ
al entr
ies
on t
hem
. If B
ella
wants
to m
ake
10
entr
ies,
how
many
diffe
rent
ways
can s
he w
rite
them
in
her
journ
al?
4 d
iffe
ren
t w
ays
; (2
× 4
) +
(1
× 2
) =
10
; (2
× 3
) +
(1
× 4
)
= 1
0;
(2 ×
2) +
(1
× 6
) =
10
; (2
× 1
) +
(1
× 8
) =
10
4.
Bri
an is
goin
g c
am
pin
g in 2
weeks
and 2
days
.
Whic
h e
quation c
an b
e u
sed t
o f
ind t
he n
um
ber
of
days
until B
rian g
oes
cam
pin
g?
A
2 +
7 +
2 =
c; c =
11
days
B
2 ×
7 −
2 =
c; c =
12
days
C
2 ×
5 +
2 =
c; c =
12
days
D
2 ×
7 +
2 =
c; c =
16
days
5.
Ele
ni bought
3 p
acks
of
cra
yons.
She t
hen f
ound 3
cra
yons
in h
er
desk
. Ele
ni now
has
24
cra
yons.
How
m
any
cra
yons
were
in e
ach p
ack s
he b
ought?
Exp
lain
how
you s
olv
ed t
he p
roble
m.
Po
ss
ible
ex
pla
na
tio
n:
Fir
st,
I s
ub
tra
cte
d 2
4 −
3 =
21.
Th
en
I
div
ide
d 2
1 b
y 3
an
d g
ot
7, s
o t
he
re w
ere
7 c
rayo
ns
in
ea
ch
pa
ck
.
16
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ifflin Harcourt Publishing Company
Practice Test
GO O
N
Name
Practice Test
3.O
A.D
.8
Solve problems involving the four
operations, and identify and explain patterns
in arithmetic.
1.
Seth
colle
cte
d 2
4 t
oy
cars
. Then h
e g
ave
aw
ay
3 t
oy
cars
to e
ach o
f his
5 f
riends.
How
many
toy
cars
does
Seth
have
left
? E
xpla
in h
ow
you s
olv
ed t
he p
roble
m.
9;
Po
ss
ible
ex
pla
na
tio
n:
Fir
st,
I m
ult
ipli
ed
3 ×
5 =
15
to fi
nd
th
e n
um
be
r o
f c
ars
Se
th g
ave
aw
ay.
Th
en
I s
ub
tra
cte
d 1
5 f
rom
24
an
d g
ot
9, s
o t
he
re a
re 9
to
y
ca
rs l
eft
.
2.
Mrs
. G
arc
ia p
uts
57
cans
on a
shelf. She p
uts
an e
qual
num
ber
of
cans
in e
ach o
f 9
row
s and p
uts
3 c
ans
in t
he
last
row
. H
ow
many
cans
does
she p
ut
in e
ach o
f th
e 9
equal ro
ws?
Choose
the e
quation t
hat
can b
e u
sed t
o s
olv
e t
he
pro
ble
m.
I can u
se t
he e
quation
(3 ×
c) + 9 =
57
(9 ×
c) + 3 =
57
(57 ÷
9) + 3 =
c
.
Solv
e t
he p
roble
m.
Ch
eck
stu
de
nts
’ wo
rk.
6
c
ans
15
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ifflin Harcourt Publishing Company
Practice Test
15-16 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.O
A.D
.9
Solve problems involving the four
operations, and identify and explain patterns
in arithmetic.
1.
Tim
says
the r
ule
for
the p
att
ern
show
n in t
he t
able
is
“Add 3
.” Is
his
rule
corr
ect?
Exp
lain
how
you k
now
.
Packag
es
12
34
5
Mark
ers
48
12
16
20
2.
Sele
ct
the n
um
ber
sente
nces
that
show
the C
om
muta
tive
Pro
pert
y of
Additio
n. M
ark
all
that
apply
.
A
14
+ 8
= 2
2
B
8 +
14
= 1
4 +
8
C
8 +
(1
3 +
1) =
(8
+ 1
3) +
1
D
5 +
9 +
8 =
9 +
5 +
8
3.
Heath
er’s
puppy
weig
hs
23
pounds.
He h
as
been g
ain
ing
3 p
ounds
eve
ry m
onth
as
he g
row
s. If
this
patt
ern
continues,
how
much w
ill t
he p
uppy
weig
h 5
month
s fr
om
now
?
3
8 p
ou
nd
s
4.
Hele
ne s
ele
cte
d a
n o
dd n
um
ber
to b
e m
ultip
lied b
y th
e
facto
rs in t
his
table
. W
rite
even o
r odd t
o d
esc
ribe e
ach
pro
duct.
×1
23
45
odd number
od
deve
no
dd
eve
no
dd
No
, Tim
’s r
ule
is
no
t c
orr
ec
t. P
os
sib
le e
xp
lan
ati
on
: It
wo
rks
for
the
fi r
st
pa
ir o
f n
um
be
rs 1
+ 3
= 4
, b
ut
it d
oe
sn
’t w
ork
fo
r
an
y o
f th
e o
the
r p
air
s. T
he
ru
le s
ho
uld
be
“M
ult
iply
by
4.”
17
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ifflin Harcourt Publishing Company
Practice Test
STOP
Name
Practice Test
5.
Chlo
e b
ought
4 m
ovi
e t
ickets
. Each
tic
ket
cost
$6
. What
was
the t
ota
l co
st o
f th
e m
ovi
e t
ickets
?
$
24
6.
Com
ple
te t
he t
able
. Am
ir s
aid
a r
ule
for
the p
att
ern
sh
ow
n in t
his
table
is
“Multip
ly b
y 4
.” Is
he c
orr
ect
?
Exp
lain
how
you k
now
your
answ
er
is r
easo
nable
.
Can
s2
34
56
Peach
es
812
16
20
24
7.
Lis
a c
om
ple
ted t
he t
able
to d
esc
ribe t
he p
roduct
of
a
mys
tery
one-d
igit n
um
ber
and e
ach
fact
or
in t
he t
able
.
×1
23
45
?even
even
even
even
even
Pa
rt
A
Giv
e a
ll of
the p
oss
ible
num
bers
that
could
be L
isa’s
m
yste
ry o
ne-d
igit n
um
ber.
Pa
rt
B
Exp
lain
how
you k
now
that
you h
ave
sele
cted a
ll of
the
corr
ect
poss
ibili
ties.
Ye
s, h
e i
s c
orr
ec
t. 2
× 4
= 8
, 3
× 4
= 1
2, 4
× 4
= 1
6, 5
× 4
= 2
0, a
nd
6 ×
4 =
24
.
All
th
e p
air
s o
f n
um
be
rs f
oll
ow
th
e p
att
ern
, s
o t
he
an
sw
er
is r
ea
so
na
ble
.
Po
ss
ible
ex
pla
na
tio
n:
Be
ca
us
e t
he
pro
du
cts
are
all
eve
n,
the
mys
tery
nu
mb
er
mu
st
als
o b
e a
n e
ve
n n
um
be
r. I
have
se
lec
ted
all
of
the
eve
n o
ne
-dig
it n
um
be
rs.
2, 4
, 6
, 8
18
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ifflin Harcourt Publishing Company
Practice Test
17-18 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
5.
Sele
ct
the n
um
bers
that
round t
o 1
00
. Sele
ct
all
that
apply
.
A
38
C
10
9
B
16
2
D
83
6.
Ale
x and E
rika c
olle
ct
shells
. The t
able
s sh
ow
the k
inds
of
shells
they
colle
cte
d.
Ale
x’s
Sh
ell
s
Sh
ell
Nu
mb
er
of
Sh
ell
s
Scallop
36
Jingle
95
Clam
115
Eri
ka’s
Sh
ell
s
Sh
ell
Nu
mb
er
of
Sh
ell
s
Scallo
p82
Clam
108
Whelk
28
Pa
rt
A
Who c
olle
cte
d m
ore
shells
? A
bout
how
many
more
did
sh
e c
olle
ct?
Exp
lain
how
you s
olv
ed t
he p
roble
m.
Ale
x;
Po
ss
ible
ex
pla
na
tio
n:
Es
tim
ate
th
e n
um
be
r o
f
sh
ell
s A
lex
ha
s (
ab
ou
t 2
60
) a
nd
Eri
ka
ha
s (
ab
ou
t 2
20
).
Ale
x h
as
ab
ou
t 4
0 m
ore
.
Pa
rt
B
Ale
x and E
rika h
ave
the g
reate
st n
um
ber
of
what
kin
d o
f sh
ell?
How
many
shells
of
that
kin
d d
o t
hey
have
in a
ll?
Show
your
work
.
cla
m s
he
lls
; 2
23
sh
ell
s
20
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
GO O
N
Name
1.
There
are
48
6 b
ooks
in t
he c
lass
room
lib
rary
. C
om
ple
te t
he c
hart
to s
how
48
6 r
ounded t
o t
he
neare
st 1
0.
Hu
nd
red
sTen
sO
nes
49
0
2.
Wri
te e
ach n
um
ber
sente
nce in t
he b
ox
belo
w t
he b
ett
er
est
imate
of
the s
um
.
39
3 +
22
5 =
■
48
1 +
21
5 =
■
35
2 +
32
8 =
■
30
9 +
33
5 =
■
60
070
0
30
9 +
33
5 =
■
39
3 +
22
5 =
■
48
1 +
215
= ■
35
2 +
32
8 =
■
3.
Sele
ct
the n
um
bers
that
round t
o 3
00
when r
ounded
to t
he n
eare
st h
undre
d. M
ark
all
that
apply
.
A
23
8
B
25
0
C
28
3
D
34
2
E
35
9
4.
A t
ota
l of
90
7 p
eople
went
to a
fis
hin
g t
ourn
am
ent. O
f th
ese
people
, 6
26
arr
ived b
efo
re n
oon. A
lina e
stim
ate
s th
at
few
er
than 3
00
people
arr
ived in t
he a
ftern
oon.
How
did
she e
stim
ate
? E
xpla
in.
Practice Test
3.N
BT.A
.1
Use place value understanding and
properties of operations to perform
multi-digit arithmetic.
Po
ss
ible
ex
pla
na
tio
n:
Sh
e r
ou
nd
ed
to
th
e n
ea
res
t h
un
dre
d.
Fir
st,
sh
e r
ou
nd
ed
90
7 t
o 9
00
an
d r
ou
nd
ed
62
6 t
o 6
00
;
the
n, s
he
su
btr
ac
ted
, 9
00
− 6
00
= 3
00
.
19
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
19-20 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
1.
Danie
l has
40
2 p
ieces
in a
build
ing s
et. H
e u
ses
18
6 p
ieces
to b
uild
a h
ouse
. H
ow
many
pie
ces
does
he h
ave
left
? S
how
your
work
.
Use t
he t
ab
le f
or
2–4.
Su
sie
’s S
weate
r S
ho
p
Mo
nth
Nu
mb
er
of
Sw
eate
rs S
old
January
402
February
298
March
171
2.
The t
able
show
s th
e n
um
ber
of
sweate
rs s
old
onlin
e in
thre
e m
onth
s. H
ow
many
sweate
rs w
ere
sold
in J
anuary
and F
ebru
ary
?
sw
eate
rs
3.
How
many
more
sw
eate
rs w
ere
sold
in J
anuary
th
an in M
arc
h?
sw
eate
rs
4.
How
many
more
sw
eate
rs w
ere
sold
in F
ebru
ary
and
Marc
h t
han in J
anuary
?
sw
eate
rs
Practice Test
3.N
BT.A
.2
Use place value understanding
and properties of operations to perform
multi-digit arithmetic.
216
pie
ce
s
70
0
23
1
67
21
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
5.
Janna b
uys
2 b
ags
of
dog f
ood f
or
her
dogs.
One b
ag
weig
hs
37
pounds.
The o
ther
bag w
eig
hs
15
pounds.
H
ow
many
pounds
do b
oth
bags
weig
h?
Exp
lain
how
yo
u s
olv
ed t
he p
roble
m.
52
po
un
ds
; P
os
sib
le e
xp
lan
ati
on
: S
tart
wit
h 3
7 a
nd
co
un
t
on
3 t
o 4
0. T
he
n a
dd
15
as
1 t
en
5 o
ne
s. R
em
em
be
r to
su
btr
ac
t th
e 3
yo
u c
ou
nte
d o
n t
o s
tart
, 5
– 3
= 2
, s
o 5
2.
6.
Choose
the p
ropert
y th
at
makes
the s
tate
ment
true.
The
Identity
Com
muta
tive
Ass
ocia
tive
Pro
pert
y of
Additio
n s
tate
s th
at
you c
an g
roup a
ddends
in d
iffe
rent
ways
and g
et
the
sam
e s
um
.
7.
Ale
xandra
has
78
e-m
ails
in h
er
inbox.
She d
ele
tes
47
e-m
ails
. How
many
e-m
ails
are
left
in h
er
inbox?
Dra
w
jum
ps
and label th
e n
um
ber
line t
o s
how
your
thin
kin
g.
110
57
47
67
7778
110
110
11
e-m
ails
8.
Luke s
olv
es
this
pro
ble
m. H
e s
ays
the d
iffe
rence is
21
4.
Exp
lain
the m
ista
ke L
uke m
ade. W
hat
is t
he c
orr
ect
diffe
rence?
35
2 −
14
8 =
Po
ss
ible
ex
pla
na
tio
n: W
he
n L
uke
co
mb
ine
d t
he
te
ns
an
d h
un
dre
ds
to
su
btr
ac
t h
e s
ho
uld
have
co
mb
ine
d t
he
ten
s a
nd
on
es
. H
e n
ee
de
d t
o r
eg
rou
p 1
te
n a
s 1
0 o
ne
s t
o
su
btr
ac
t 4
8 f
rom
52
. Th
en
he
wo
uld
have
0 t
en
s 4
on
es
left
. Th
e d
iffe
ren
ce
is
20
4.
31
22
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
21-22 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
1.
Sele
ct
the e
quations
that
show
the D
istr
ibutive
Pro
pert
y.
Mark
all
that
apply
.
A
8 ×
20
= 8
× (
10
+ 1
0)
B
5 ×
60
= 5
× (
20
+ 4
0)
C
30
× 6
= 6
× 3
0
D
9 ×
(4
+ 3
) =
9 ×
7
2.
The b
ookst
ore
has
6 s
helv
es
of
books
about
anim
als
. There
are
30
books
on e
ach s
helf. H
ow
many
books
about
anim
als
does
the b
ookst
ore
have
?
Make a
dia
gra
m t
o s
how
how
you c
an u
se t
he
Dis
trib
utive
Pro
pert
y to
fin
d t
he n
um
ber
of
books
about
anim
als
in t
he b
ookst
ore
.
6 ×
(10 +
10 +
10) = (6 ×
10) + (6 ×
10) + (6 ×
10) =
60 +
60 +
60 =
180
anim
al books
Practice Test
3.N
BT.A
.3
Use place value understanding
and properties of operations to perform
multi-digit arithmetic.
6
10
110
10
1
180
23
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
3.
Each t
rain
can c
arr
y 2
0 c
ars
. U
se t
he n
um
ber
line t
o f
ind
how
many
cars
6 t
rain
s can c
arr
y.
0102030405060708090100110120130140150
cars
4.
A s
tore
has
30
boxe
s of
melo
ns.
Each b
ox
hold
s 4
bags.
Each b
ag h
old
s 2
melo
ns.
What
is t
he t
ota
l num
ber
of
melo
ns
in t
he s
tore
?
melo
ns
5.
A p
rinte
r pri
nts
new
slett
ers
for
many
gro
ups
eve
ry
month
. W
hic
h g
roup u
ses
the g
reate
st n
um
ber
of
pie
ces
of
paper?
Gro
up
Nu
mb
er
of
pie
ces o
f
pap
er
in n
ew
sle
tter
Nu
mb
er
of
co
pie
s o
f
new
sle
tter
pri
nte
d
Garden Ladies
570
Book Lovers Club
680
Model Train Fans
760
Travel Club
850
6.
Sam
anth
a m
ade t
his
multip
lication m
odel.
Com
ple
te t
he
equation t
hat
repre
sents
the m
odel.
×
=
12
0
24
0
Bo
ok
Lo
ve
rs C
lub
3, 3
0, 9
0 o
r 3
0, 3
, 9
0
24
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
23-24 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.N
F.A
.1
Develop understanding of fractions as
numbers.
1.
What
fraction n
am
es
the s
haded p
art
?
Exp
lain
how
you k
now
how
to w
rite
the f
raction.
2.
Sele
ct
a n
um
era
tor
and a
denom
inato
r fo
r th
e f
raction
that
nam
es
the s
haded p
art
of
the s
hape.
Num
erator
Denom
inator
2
3
3
5
5
6
6
8
3.
Om
ar
shaded a
model to
show
the p
art
of
the law
n t
hat
he f
inis
hed m
ow
ing. W
hat
fraction n
am
es
the s
haded
part
? E
xpla
in h
ow
you k
now
how
to w
rite
the f
raction.
1
_
3 ; Possible explanation: There are 3 equal parts and 1 part
is shaded, so I w
rite 1 on the top and 3 on the bottom.
1
_
8 ; Possible explanation: There are 8 equal parts and 1 part
is shaded, so I w
rite 1 on the top and 8 on the bottom.
25
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
The m
odel sh
ow
s one w
hole
. W
hat
fraction o
f th
e
model is
NO
T s
haded?
5.
Gary
pain
ts s
om
e s
hapes.
Sele
ct
one n
um
ber
from
each c
olu
mn t
o s
how
a f
raction
gre
ate
r th
an 1
that
nam
es
the p
art
s G
ary
pain
ted.
Num
erator
Denomin
ator
3
3
4
4
8
8
24
24
6.
Angelo
rode h
is b
ike a
round a
bik
e t
rail
that
was
1
_
4 o
f a m
ile long. H
e r
ode h
is b
ike a
round t
he t
rail
8 t
imes.
A
ngelo
says
he r
ode a
tota
l of
8
_
4 m
iles.
Tere
sa s
ays
he is
wro
ng a
nd t
hat
he a
ctu
ally
rode 2
mile
s. W
ho is
corr
ect?
U
se w
ord
s and d
raw
ings
to e
xpla
in h
ow
you k
now
.
2
_
4 o
r 1
_
2
Bo
th a
re c
orr
ec
t. P
os
sib
le e
xp
lan
ati
on
: Th
e d
ista
nc
e a
rou
nd
the
tra
il i
s 1
_
4 m
ile
, s
o i
f h
e r
od
e a
rou
nd
it
8 t
ime
s, th
at
is
eig
ht
fou
rth
s o
r 8
_
4 .
I d
rew
a c
ircle
, d
ivid
ed
it
in f
ou
rth
s, a
nd
sh
ad
ed
4
_
4 .
I th
en
dre
w a
no
the
r c
ircle
an
d s
ha
de
d i
t th
e s
am
e
to s
ho
w 8
_
4 .
My
dra
win
g s
ho
ws
th
at
8
_
4 ∙
2, s
o h
e r
od
e 2
mil
es
.
26
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
25-26 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
What
fraction n
am
es
poin
t A
on t
he n
um
ber
line?
5.
Use
a s
traig
hte
dge t
o d
ivid
e t
he f
raction b
ar
into
4 e
qual
part
s. T
hen s
hade 3
part
s.
1 w
hole
What
fraction d
oes
the s
haded f
raction b
ar
repre
sent?
Show
the f
raction a
s th
e s
um
of
unit f
ractions.
6.
Mari
a d
rew
a n
um
ber
line d
ivid
ed into
8 e
qual part
s.
What
fraction n
am
es
poin
t B
on t
he n
um
ber
line?
10
B
0 801 8 8
A
1 8
1 8
1 8
1 8
1 8
1 8
1 8
1 8
7
_
8
8
_
8
3
__
4 1
__
4 +
1
__
4 +
1
__
4 =
3
__
4
28
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
GO O
N
1 w
hole
0F
1
Name
1.
What
fraction n
am
es
poin
t A
on t
he n
um
ber
line?
0 601
A6 6
1 6
1 6
1 6
1 6
1 6
1 6
2.
Locate
and d
raw
poin
t F o
n t
he n
um
ber
line t
o r
epre
sent
the f
raction 2
_
4 .
3.
Use
a s
traig
hte
dge t
o d
ivid
e t
he f
raction b
ar
into
6 e
qual part
s. T
hen s
hade 4
part
s.
What
fraction d
oes
the s
haded f
raction b
ar
repre
sent?
Show
the f
raction a
s th
e s
um
of
unit f
ractions.
Practice Test
3.N
F.A
.2a
, 3.N
F.A
.2b
Develop understanding of fractions as
numbers.
1
_
6
4
__
6
1
__
6 +
1
__
6 +
1
__
6 +
1
__
6 =
4
__
6
27
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
27-28 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
1.
Mrs
. R
eed b
aked f
our
pans
of
lasa
gna f
or
a f
am
ily p
art
y.
Use
the r
ecta
ngle
s to
repre
sent
the p
ans.
Pa
rt
A
Dra
w lin
es
to s
how
how
Mrs
. R
eed c
ould
cut
one p
an o
f la
sagna into
thir
ds,
one into
fourt
hs,
one into
six
ths,
and
one into
eig
hth
s. Possible lines are shown.
Pa
rt
B
At
the e
nd o
f th
e d
inner, 2
of
the p
ans
had 1
_
3 o
f a
lasa
gna left
, and 2
of
the p
ans
had 1
_
2 o
f a lasa
gna left
. U
se t
he m
odels
to s
how
the lasa
gna t
hat
mig
ht
have
been left
ove
r in
each p
an. W
rite
tw
o p
air
s of
equiv
ale
nt
fractions
to r
epre
sent
the m
odels
.
2.
Danie
lle d
rew
a m
odel to
show
equiv
ale
nt
fractions.
Use
the m
odel to
com
ple
te t
he n
um
ber
sente
nce.
1
__
2 =
=
3.
Sam
went
for
a r
ide o
n a
sailb
oat. T
he r
ide last
ed 3
_
4 h
our.
What
fraction is
equiv
ale
nt
to 3
_
4 ?
Practice Test
3.N
F.A
.3a
Develop understanding of fractions as
numbers.
Possible answers: 1
_
3 =
2
_
6 , 2
_
4 =
4
_
8
2
_
4
4
_
8
6
_
8 =
3
_
4
29
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
3 3
0 3
1 3
2 3
0 6
2 6
1 6
3 6
4 6
5 6
6 6
Name
Practice Test
4.
Use
the n
um
ber
line. W
rite
the f
raction t
hat
makes
the
state
ment
true.
2
_
3
= 4
__
6
5.
Mr. W
ort
h o
pened n
ew
jars
of
4 d
iffe
rent
colo
rs o
f pain
t fo
r an a
rt p
roje
ct. A
ll of
the jars
were
the s
am
e s
ize.
Pa
rt
A
Dra
w lin
es
to s
how
how
Mr. W
ort
h c
ould
div
ide o
ne jar
of
pain
t in
to h
alv
es,
one into
thir
ds,
one into
fourt
hs,
and
one into
six
ths.
Pa
rt
B
Stu
dents
in h
is c
lass
use
d a
n e
quiv
ale
nt
am
ount
of
pain
t fr
om
the jars
div
ided into
halv
es
and f
ourt
hs.
They
als
o u
sed a
n e
quiv
ale
nt
am
ount
of
pain
t fr
om
the jars
div
ided into
thir
ds
and s
ixth
s. U
se t
he m
odels
to s
how
th
e a
mount
of
pain
ts u
sed. W
rite
tw
o p
air
s of
equiv
ale
nt
fractions
to r
epre
sent
the m
odels
.
Possible answers: 1 _ 2 =
2
_
4 , 1 _ 3 =
2
_
6
Possible lines are shown.
Possible shading is
shown above.
30
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
29-30 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Sele
ct
the f
raction t
hat
would
be inclu
ded in a
n
equiv
ale
nce c
hain
for
1
_
4 .
A
4
__
4
B
2
__
8
C
1
__
6
D
6
__
2
5.
Dra
w a
lin
e t
o m
atc
h t
he f
raction o
n t
he left
to a
n
equiv
ale
nt
fraction o
r num
ber
on t
he r
ight.
2
__
3 •
• 3
__
4
1
__
2 •
• 2
__
8
6
__
8 •
• 2
__
6
1
__
4 •
• 4
__
6
1
__
3 •
• 4
__
8
6.
Darr
en, M
ya, Phil,
and E
rin a
re h
avi
ng b
reakfa
st. D
arr
en
and M
ya e
ach e
at
1
_
2 o
f th
eir
om
ele
ts. Phil
and E
rin e
ach
eat
2
_
4 o
f th
eir
om
ele
ts. U
se t
he m
odels
to s
how
how
m
uch o
f his
or
her
om
ele
t each p
ers
on a
te.
W
hat
fraction is
equiv
ale
nt
to 1
__
2 ?
___
Darren
Mya
Phil
Erin
1
_
2 ∙
2
_
4
32
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.N
F.A
.3b
Develop understanding of fractions as
numbers.
1.
Joe a
nd S
helb
y are
havi
ng lunch. Jo
e e
ats
3
_
4 o
f his
sub
sandw
ich. Shelb
y eats
an e
quiv
ale
nt
am
ount
of
her
sub
sandw
ich. U
se t
he t
op r
ecta
ngle
to s
how
how
much o
f his
sandw
ich J
oe a
te. U
se t
he b
ott
om
recta
ngle
to s
how
how
much o
f her
sandw
ich S
helb
y ate
.
What
fraction is
equiv
ale
nt
to 3
__
4 ?
2.
Tom
rode h
is h
ors
e f
or
4
_
6 m
ile. Liz
rode h
er
hors
e f
or
an e
qual dis
tance. W
hat
is a
n e
quiv
ale
nt
fraction t
hat
desc
ribes
how
far
Liz
rode?
Use
the m
odels
to s
how
yo
ur
work
.
3.
Mr. P
ete
rs m
ade a
piz
za. There
is
4
_
8 o
f th
e p
izza
left
ove
r.
Sele
ct
the f
ractions
that
are
equiv
ale
nt
to t
he p
art
of
the
piz
za t
hat
is left
ove
r. M
ark
all
that
apply
.
A
5
__
8
B 3
__
4
C 2
__
4
D 1
__
2
4
_
6 =
2
_
3
6 _ 8=
3 _ 4
31
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
31-32 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
1.
Use
the f
ractions
to label each p
oin
t on t
he
num
ber
line.
01
2
2.
Tara
ran 3
laps
aro
und h
er
neig
hborh
ood f
or
a t
ota
l of
1 m
ile y
est
erd
ay.
Today
she w
ants
to r
un 2
_
3 o
f a
mile
. H
ow
many
laps
will
she n
eed t
o r
un a
round h
er
neig
hborh
ood?
01
0 3
3 3
1 3
1 3
1 3
laps
3.
Each s
hape is
1 w
hole
. W
hic
h n
um
bers
nam
e t
he p
art
s th
at
are
shaded?
Mark
all
that
apply
.
A
4
B
6
C
4
__
4
D
4
__
1
E
4
__
6
Practice Test
3.N
F.A
.3c
Develop understanding of fractions as
numbers.
1
__
2
6
__
6
1
__
3
9
__
3
12
___ 6
7
__
4
2
1
_
2
6
_
6
7
_
4
12
__
6
33
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Each s
hape is
1 w
hole
.
S
ele
ct
the n
um
bers
that
nam
e t
he s
haded p
art
s.
Mark
all
that
apply
.
A
8
B
4
C
8
__
2
D
8
__
4
E
2
__
8
5.
Lucy
rode h
er
bik
e a
round t
he b
lock 4
tim
es
for
a t
ota
l of
1 m
ile y
est
erd
ay.
Today
she w
ants
to r
ide h
er
bik
e 3
_
4 o
f a m
ile. H
ow
many
tim
es
will
she n
eed t
o r
ide h
er
bik
e
aro
und t
he b
lock?
t
imes
6.
Henry
and R
eik
o b
oth
use
1 y
ard
of
ribbon t
o m
ake
bow
s. W
rite
tw
o d
iffe
rent
fractions
to s
how
that
Henry
and R
eik
o u
se t
he s
am
e a
mount
of
ribbon.
Henry
use
s y
ard
.
Reik
o u
ses
yard
.
0 401 4 4
1 4
1 4
1 4
1 4
3
Sample answers given.
5
_
5
2
_
2
34
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
33-34 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
<3 8
5 8>
Name
1.
Dan a
nd M
iguel are
work
ing o
n t
he s
am
e h
om
ew
ork
ass
ignm
ent. D
an h
as
finis
hed 1
_
4 o
f th
e a
ssig
nm
ent.
Mig
uel has
finis
hed 3
_
4 o
f th
e a
ssig
nm
ent. W
hic
h
state
ment
is c
orr
ect?
Mark
all
that
apply
.
A M
iguel has
com
ple
ted t
he e
ntire
ass
ignm
ent.
B D
an h
as
not
com
ple
ted t
he e
ntire
ass
ignm
ent.
C M
iguel has
finis
hed m
ore
of
the a
ssig
nm
ent
than
Dan.
D D
an a
nd M
iguel have
com
ple
ted e
qual part
s of
the a
ssig
nm
ent.
2.
Jenna p
ain
ted 1
_
8 o
f one s
ide o
f a f
ence. M
ark
pain
ted
1
_
6 o
f th
e o
ther
side o
f th
e s
am
e f
ence. U
se >
, =
, or <
to
com
pare
the p
art
s th
at
they
pain
ted.
3.
Chun liv
es
3
_
8 m
ile f
rom
school.
Gail
lives
5
_
8 m
ile
from
school.
Use
the f
ractions
and s
ymbols
to s
how
whic
h
dis
tance is
longer.
4.
Pat
has
thre
e p
ieces
of
fabri
c t
hat
measu
re 3
_
6 , 5
_
6 , and
2
_
6 y
ard
long. W
rite
the length
s in
ord
er
from
least
to
gre
ate
st.
Practice Test
3.N
F.A
.3d
Develop understanding of fractions as
numbers.
1
_
8 <
1
_
6 or 1
_
6 >
1
_
8
2
_
6 , 3
_
6 , 5
_
6
5
_
8 >
3
_
8 ; or 3
_
8 <
5
_
8
35
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
5.
Bill
use
d 1
_
3 c
up o
f ra
isin
s and 2
_
3 c
up o
f banana c
hip
s to
make a
snack. C
om
pare
the f
ractions.
Choose
the
sym
bol th
at
makes
the s
tate
ment
true.
1
__
3
< = >
2
__
3
6.
Cora
measu
res
the h
eig
hts
of
thre
e p
lants
. D
raw
a lin
e t
o
matc
h e
ach h
eig
ht
to t
he w
ord
that
desc
ribes
its
pla
ce in
the o
rder
of
heig
hts
.
4
__
6 f
oot
least
4
__
4 f
oot
betw
een
4
__
8 f
oot
gre
ate
st
7.
Mavi
s m
ixed 3
_
4 q
uart
of
apple
juic
e w
ith 3
_
6 q
uart
of
cra
nberr
y ju
ice. C
om
pare
the f
ractions.
Choose
th
e s
ymbol th
at
makes
the s
tate
ment
true.
3
__
4
< = >
3
__
6
8.
Todd a
nd L
isa a
re c
om
pari
ng f
raction s
trip
s. W
hic
h
state
ments
are
corr
ect?
Mark
all
that
apply
.
A 1
__
4 <
4
__
4
B 5
__
6 <
4
__
6
C 2
__
3 >
1
__
3
D 5
__
8 >
4
__
8
• • •
• • •
36
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
35-36 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
8
910
1112
76
5
43
2
1
Name
Practice Test
3.M
D.A
.1
Solve problems involving
measurement and estimation of intervals of
time, liquid volumes, and masses of objects.
1.
Tra
n c
hecked t
he t
ime o
n h
is w
atc
h a
fter
he f
inis
hed h
is
daily
run.
Sele
ct
the t
ime t
hat
Tra
n f
inis
hed r
unnin
g. M
ark
all
that
apply
.
A
14
min
ute
s befo
re n
ine
C
quart
er
to n
ine
B
eig
ht
fort
y-si
x D
nin
e f
ort
y-si
x
2.
Rita’s
cla
ss b
egin
s so
cia
l st
udie
s at
ten m
inute
s befo
re
one in t
he a
ftern
oon. A
t w
hat
tim
e d
oes
Rita’s
cla
ss
begin
socia
l st
udie
s? C
ircle
a t
ime t
hat
makes
the
sente
nce t
rue.
Rita’s
cla
ss b
egin
s so
cia
l st
udie
s at
1:1
0 A
.M.
1:1
0 P
.M.
12
:50
A.M
.
12
:50
P.M
.
.
3.
Yul and S
ara
h’s
art
cla
ss s
tart
ed a
t 1
1:2
5 A
.M. The c
lass
la
sted 3
0 m
inute
s. Y
ul le
ft w
hen t
he c
lass
was
done.
Sara
h s
taye
d a
n e
xtra
5 m
inute
s to
talk
with t
he t
eacher
and t
hen left
.
Wri
te t
he t
ime t
hat
each s
tudent
left
. Exp
lain
how
you
found e
ach t
ime.
Yul: 11:55 A.M.; Sarah: noon or 12:00. I added the tim
es.
11:25 +
0:30 =
11:55; 11:25 +
0:30 +
0:05 =
12:00
37
Practice Test
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ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Anth
ony’
s fa
mily
went
out
to d
inner. T
hey
left
at
5:0
5 P
.M. They
retu
rned h
om
e 4
7 m
inute
s la
ter.
What
tim
e d
id A
nth
ony’
s fa
mily
get
hom
e?
__
5.
Jaso
n a
nd A
lyss
a w
ent
to t
he p
ark
. Ja
son left
the p
ark
at
1:3
5 P
.M. A
lyss
a left
the p
ark
45
min
ute
s la
ter. W
hat
tim
e
did
Aly
ssa leave
the p
ark
?
__
6.
A c
hic
ken d
ish n
eeds
to b
ake in t
he o
ven f
or
35
min
ute
s.
The d
ish n
eeds
to c
ool fo
r at
least
8 m
inute
s befo
re
serv
ing. Scott
puts
the c
hic
ken d
ish in t
he o
ven a
t 5
:14
P.M
.
Can S
cott
serv
e t
he d
ish a
t 5
:51
P.M
.? E
xpla
in h
ow
you
know
.
No
; P
os
sib
le e
xp
lan
ati
on
: S
co
tt t
ake
s t
he
dis
h o
ut
of
the
ove
n a
t 5
:49
P.M. T
he
n h
e n
ee
ds
to
le
t it
co
ol
for
8 m
inu
tes
or
un
til
5:5
7 P.M. b
efo
re h
e c
an
se
rve
it.
5:5
2 P.M.
2:2
0 P.M.
38
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
37-38 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Lucy
fills
a b
ath
room
sin
k w
ith w
ate
r. Is
the a
mount
of
wate
r m
ore
than 1
liter, a
bout
1 liter, o
r le
ss t
han 1
liter?
Exp
lain
how
you k
now
.
5.
Am
y has
30
gra
ms
of
flour. S
he p
uts
5 g
ram
s of
flour
in
each p
ot
of
pota
to s
oup t
hat
she m
akes.
How
many
pots
of
pota
to s
oup c
an A
my
make?
A
3 p
ots
B
5 p
ots
C
6 p
ots
D
15
pots
6.
A d
eli
makes
its
ow
n s
ala
d d
ress
ing. Each b
ott
le
has
3 g
ram
s of
spic
es.
How
many
gra
ms
of
spic
es
are
needed t
o m
ake 8
bott
les?
gra
ms
of
spic
es
7.
Sele
ct
the o
bje
cts
with a
mass
gre
ate
r th
an 1
kilo
gra
m.
Mark
all
that
apply
.
A
bic
ycle
C
era
ser
B
pen
D
chair
Mo
re t
ha
n 1
lit
er;
Po
ss
ible
ex
pla
na
tio
n: A
lit
er
is o
nly
ab
ou
t
the
am
ou
nt
in a
me
diu
m b
ott
le o
f w
ate
r. T
ha
t a
mo
un
t w
ou
ld
no
t fi
ll a
sin
k, s
o t
he
fu
ll s
ink
ha
s m
ore
th
an
1 l
ite
r.
24 4
0Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
GO O
N
Name
1.
A larg
e b
ott
le o
f w
ate
r hold
s about
2 liters
.
Whic
h o
ther
conta
iner
will
hold
all
of
the w
ate
r?
A
wate
r gla
ss
B
ice c
ube t
ray
C
larg
e s
oup p
ot
D
cere
al bow
l
2.
Cara
use
s a b
ala
nce s
cale
to c
om
pare
mass
.
Cir
cle
a s
ymbol th
at
makes
the c
om
pari
son t
rue.
The m
ass
of
the b
locks
< > =
the m
ass
of
the
era
sers
.
3.
Sele
ct
the ite
ms
that
would
be b
est
measu
red in g
ram
s.
Mark
all
that
apply
.
A
wate
rmelo
n
B
lett
uce leaf
C
gra
pe
D
onio
n
Practice Test
3.M
D.A
.2
Solve problems involving
measurement and estimation of intervals of
time, liquid volumes, and masses of objects.
39
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
39-40 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Use t
he f
req
uen
cy t
ab
le f
or
1–2.
1.
The P
et
Shop k
eeps
track o
f th
e n
um
ber
of
fish
it
has
for
sale
. The f
requency
table
show
s how
many
fish
are
in
thre
e t
anks.
Fish in Tanks
Tank
Number of Fish
Tank 1
16
Tank 2
9
Tank 3
12
Pa
rt
A
Use
the d
ata
in t
he t
able
to c
om
ple
te t
he p
ictu
re g
raph.
Fish in Tanks
Tank 1
Key: Each 5 2 fish.
Tank 2
Tank 3
Pa
rt
B
How
many
pic
ture
s did
you d
raw
for
Tank 2
? E
xpla
in.
4 1
_
2 ;
Po
ss
ible
ex
pla
na
tio
n:
Be
ca
us
e e
ach
cir
cle
re
pre
se
nts
2 fi
sh
, I
dre
w 4
cir
cle
s t
o r
ep
res
en
t 8
fi s
h a
nd
1 h
alf
cir
cle
to r
ep
res
en
t 1
fi s
h.
2.
Each t
ank c
an h
old
up t
o 2
0 f
ish. H
ow
many
more
fis
h
can t
he P
et
Shop p
ut
in t
he 3
tanks?
A 6
0 f
ish
C 2
0 f
ish
B 2
3 f
ish
D 3
3 f
ish
Practice Test
3.M
D.B
.3
Represent and interpret data.
41
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
STOP
Name
Practice Test
Use t
he b
ar
gra
ph
fo
r 3–6.
3.
Thre
e m
ore
stu
dents
pla
y pia
no
than p
lay
whic
h o
ther
inst
rum
ent?
__________
4.
The s
am
e n
um
ber
of
students
pla
y w
hic
h t
wo inst
rum
ents
?
______________
5.
Whic
h s
tate
ments
are
tru
e?
Mark
all
that
apply
.
A
Ten m
ore
stu
dents
pla
y guitar
than p
lay
flute
.
B
Nin
e s
tudents
pla
y pia
no.
C
Six
few
er
students
pla
y flute
and p
iano c
om
bin
ed
than p
lay
dru
ms
and g
uitar
com
bin
ed.
D
Nin
e m
ore
stu
dents
pla
y pia
no a
nd g
uitar
com
bin
ed
than p
lay
dru
ms.
6.
There
are
more
stu
dents
who p
lay
the t
rum
pet
than
pla
y th
e f
lute
, but
few
er
students
than p
lay
the g
uitar.
Exp
lain
how
you w
ould
change t
he b
ar
gra
ph t
o s
how
st
udents
who p
lay
the t
rum
pet.
Po
ss
ible
ex
pla
na
tio
n:
I w
ou
ld a
dd
a fi
fth
ba
r a
bo
ve
flu
te.
Th
e b
ar
wil
l b
e l
on
ge
r th
an
th
e b
ar
for
flu
te, w
hic
h e
nd
s
at
6, b
ut
sh
ort
er
tha
n t
he
ba
r fo
r g
uit
ar,
wh
ich
en
ds
at
10
.
flu
te
gu
ita
r a
nd
dru
ms
Musical In
struments
Number of Students
Instrument
0
Flute
Drums
Piano
Guitar
24
68
10
12
42
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ifflin Harcourt Publishing Company
41-42 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Ash
ley
measu
res
the s
hells
she c
olle
cts
. She
record
s th
e m
easu
rem
ents
in a
chart
.
P
art
A
Ash
ley
found a
razo
r cla
m s
hell
as
long a
s th
is
stri
p. U
se a
n inch r
ule
r to
measu
re. R
ecord
the
measu
rem
ent
in t
he c
hart
.
3 1
_
2
in
ches
P
art
B
Com
ple
te t
he lin
e p
lot
to s
how
the d
ata
in t
he c
hart
. H
ow
many
shells
are
longer
than 2
inches?
Tell
how
yo
u k
now
.
✗✗
✗
Length of Shells Measured to the Nearest Half Inch
✗✗
✗✗✗ 11 2
21 2
31 2
12
34
01 2
5.
Est
imate
the length
of
the f
ork
in inches.
Then m
easu
re it
to t
he n
eare
st 1
_
4 i
nch.
Nu
mb
er
of
Sh
ell
s
Len
gth
in I
nch
es
11
22 1
_
2
31 1
_
2
12
Est
imate
: in.
Actu
al:
in.
Po
ss
ible
an
sw
er:
3 s
he
lls
are
lo
ng
er
tha
n 2
in
ch
es
. I
55
1
_
4
co
un
ted
th
e n
um
be
r o
f X
s a
bo
ve
2 1
_
2 a
nd
3 1
_
2 .
1
3
1
_
2
44
Practice Test
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ifflin Harcourt Publishing Company
GO O
N
56
78
9
Length of Shells
in Inches
77
77
77
777
77777
Name
Practice Test
3.M
D.B
.4
Represent and interpret data.
Use t
he lin
e p
lot
for
1–2.
Robin
colle
cte
d s
hells
duri
ng h
er
vacation. She m
easu
red
the length
of
each s
hell
to t
he n
eare
st inch a
nd r
ecord
ed t
he
data
in a
lin
e p
lot.
1.
How
many
shells
were
6 inches
long o
r lo
nger?
11
sh
ells
2.
How
many
more
shells
did
Robin
colle
ct
that
were
5
inches
long t
han w
ere
8 inches
long?
2
sh
ells
3.
Use
an inch r
ule
r to
measu
re.
P
art
A
What
is t
he length
of
the leaf
to t
he n
eare
st f
ourt
h-i
nch?
1 1
_
4
in
ches
P
art
B
Exp
lain
what
happens
if y
ou lin
e u
p t
he left
sid
e o
f th
e
obje
ct
with t
he 1
on t
he r
ule
r.
lea
f w
ill
me
as
ure
1 i
nch
lo
ng
er
tha
n i
t re
ally
is
.
Po
ss
ible
ex
pla
na
tio
n: Y
ou
wil
l g
et
the
wro
ng
an
sw
er.
Th
e
43
Practice Test
Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
43-44 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.M
D.C
.5a
, 3.M
D.C
.5b
Geometric measurement: understand
concepts of area and relate area to
multiplication and division.
1.
Dra
w a
lin
e f
rom
the f
igure
to t
he a
rea o
f th
e f
igure
.
•
• 1
3 s
quare
units
•
• 1
4 s
quare
units
•
• 1
5 s
quare
units
2.
What
is t
he p
eri
mete
r and a
rea o
f th
is f
igure
?
Exp
lain
how
you f
ound t
he a
nsw
er.
Peri
mete
r u
nits
Are
a
square
units
Po
ssib
le e
xp
lan
ati
on
: F
or
peri
mete
r, I c
ou
nte
d t
he
un
it e
dg
es a
rou
nd
th
e fi
gu
re:
6 +
6 +
12 =
24. F
or
are
a, I co
un
ted
th
e u
nit
sq
uare
s in
sid
e t
he fi
gu
re:
1 +
2 +
3 +
4 +
5 +
6 =
21.
24
21
45
Practice Test
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ifflin Harcourt Publishing Company
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Name
Practice Test
3.
Dra
w a
lin
e f
rom
the f
igure
to t
he a
rea o
f th
e f
igure
.
•
• 1
0 s
quare
units
•
• 1
1 s
quare
units
•
• 1
2 s
quare
units
4.
How
many
square
s need t
o b
e a
dded t
o t
his
fig
ure
so t
hat
it h
as
the s
am
e a
rea a
s a s
quare
with a
sid
e length
of
5 u
nits?
12
sq
uare
s
46
Practice Test
Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
45-46 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
3.
What
is t
he a
rea o
f th
e f
igure
show
n?
Each u
nit s
quare
is
1 s
quare
foot.
23
sq
uare
feet
4.
Dory
desi
gns
a s
ticker
with a
peri
mete
r of
14
centim
ete
rs.
On t
he g
rid, dra
w a
ll poss
ible
recta
ngle
s w
ith a
peri
mete
r of
14
centim
ete
rs a
nd s
ides
whose
length
s are
whole
centim
ete
rs. Label th
e length
s of
two a
dja
cent
sides
of
each r
ecta
ngle
. Label each r
ecta
ngle
with its
are
a.
5 cm
2 cm
4 cm
area =
12 square
centimeters
3 cm
area =
6 square centimeters
1 cm
area =
10 square centimeters
6 cm
C
om
pare
the a
reas
of
the r
ecta
ngle
s. W
hat
do y
ou n
otice
about
their
shapes?
Possible answer: The sticker with the greatest area is
closest to a square. T
he sticker with the least area is
long and thin.
48
Practice Test
Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.M
D.C
.6
Geometric measurement: understand
concepts of area and relate area to
multiplication and division.
1.
What
is t
he a
rea o
f th
e f
igure
show
n?
Each u
nit s
quare
is
1 s
quare
mete
r.
13
sq
uare
mete
rs
2.
Ste
ve m
akes
a b
anner
with a
n a
rea o
f 8
square
feet. O
n a
gri
d, dra
w a
ll poss
ible
recta
ngle
s w
ith a
n a
rea o
f 8
square
fe
et
and s
ides
whose
length
s are
whole
feet. L
abel th
e
length
s of
two a
dja
cent
sides
of
each r
ecta
ngle
. Label
each r
ecta
ngle
with its
peri
mete
r.
1 ft
perimeter = 18 ft
8 ft 2 ft
perimeter
= 12 ft
4 ft
Com
pare
the p
eri
mete
rs o
f th
e b
anners
. W
hat
do y
ou
notice a
bout
their
shapes?
Possible answer: The banner with the greater perimeter
is long and thin. T
he banner with the lesser perimeter
has sides that are closer in length. 4
7Practice Test
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ifflin Harcourt Publishing Company
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GO O
N
Name
Practice Test
3.M
D.C
.7a
Geometric measurement: understand
concepts of area and relate area to
multiplication and division.
1.
Bra
dy
is p
lacin
g s
quare
tile
s on t
he f
loor
of
the k
itchen.
Each u
nit s
quare
is
1 s
quare
foot.
Whic
h e
quations
can B
rady
use
to f
ind t
he a
rea o
f th
e
kitchen f
loor?
Mark
all
that
apply
.
A
4 ×
6 =
24
B
4 +
4 +
4 +
4 +
4 =
20
C
4 +
6 +
4 +
6 =
20
2.
Sim
on d
raw
s a s
ketc
h o
f th
e f
loor
of
his
tre
e h
ouse
on
gri
d p
aper. E
ach u
nit s
quare
is
1 s
quare
foot. W
rite
and
solv
e a
multip
lication e
quation t
hat
can b
e u
sed t
o f
ind
the a
rea o
f th
e f
loor
in s
quare
feet.
42
sq
uare
feet
D
6 +
6 +
6 +
6 =
24
E
4 ×
5 =
20
F
6 ×
4 =
24
6 ×
7 =
42 or 7 ×
6 =
42
49
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ifflin Harcourt Publishing Company
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Name
Practice Test
3.
The d
raw
ing s
how
s Seth
’s p
lan f
or
a f
ort
in h
is b
ackya
rd.
Each u
nit s
quare
is
1 s
quare
foot.
W
hic
h e
quations
can S
eth
use
to f
ind t
he a
rea o
f th
e f
ort
?
Mark
all
that
apply
.
A
4 +
4 +
4 +
4 =
16
B
7 +
4 +
7 +
4 =
22
C
7 +
7 +
7 +
7 =
28
4.
Keis
ha d
raw
s a s
ketc
h o
f her
livin
g r
oom
on g
rid p
aper.
Each u
nit s
quare
is
1 s
quare
mete
r. W
rite
and s
olv
e a
m
ultip
lication e
quation t
hat
can b
e u
sed t
o f
ind t
he a
rea
of
the liv
ing r
oom
in s
quare
mete
rs.
40
sq
uare
mete
rs
5.
Colle
en d
rew
this
recta
ngle
. Sele
ct
the e
quation t
hat
can b
e
use
d t
o f
ind t
he a
rea o
f th
e r
ecta
ngle
. M
ark
all
that
apply
.
A
9 ×
6 =
n
B
9 +
9 +
9 +
9 +
9 =
n
C
9 +
6 =
n
D
6 ×
9 =
n
E
6 +
6 +
6 +
6 +
6 =
n
D
4 ×
4 =
16
E
7 ×
7 =
49
F
4 ×
7 =
28
4 ×
10 =
40 or 10 ×
4 =
40
50
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Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
49-50 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Ett
a p
rints
a p
hoto
gra
ph t
hat
is 7
inches
long a
nd 5
inches
wid
e. W
hat
is t
he a
rea o
f th
e p
hoto
gra
ph?
Dra
w a
recta
ngle
to h
elp
solv
e t
he p
roble
m. Label yo
ur
dra
win
g. W
rite
an e
quation t
o s
olv
e t
he p
roble
m.
5 ×
7 =
35 o
r 7 ×
5 =
35
A
rea o
f th
e p
hoto
gra
ph:
square
inches
5.
Fin
d t
he p
att
ern
and c
om
ple
te t
he c
hart
.
To
tal A
rea
(in
sq
uare
feet)
50
60
70
80
90
Len
gth
(in
feet)
10
10
10
10
10
Wid
th
(in
feet)
5
6
78
9
How
can y
ou u
se t
he c
hart
to f
ind t
he length
and w
idth
of
a
figure
with a
n a
rea o
f 1
00
square
feet?
75 x 7 = 35 or 7 x 5 = 35
5
35
Po
ssib
le a
nsw
er:
Exte
nd
th
e c
hart
to
10
0 s
qu
are
feet
an
d c
on
tin
ue
the p
att
ern
: le
ng
th 1
0 f
eet, w
idth
10 f
eet. T
he fi
gu
re is a
sq
uare
.
52
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ifflin Harcourt Publishing Company
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N
Name
Practice Test
3.M
D.C
.7b
Geometric measurement: understand
concepts of area and relate area to
multiplication and division.
1.
Eliz
abeth
has
a r
ecta
ngula
r gard
en in h
er
yard
. The
gard
en h
as
a length
of
8 f
eet
and a
wid
th o
f 6
feet.
What
is t
he a
rea o
f th
e g
ard
en?
square
feet
2.
Raul m
akes
a s
ign f
or
the s
chool fa
ir. It h
as
a length
of
9 inches
and a
wid
th o
f 8
inches.
What
is t
he a
rea o
f th
e s
ign?
D
raw
a r
ecta
ngle
to h
elp
solv
e t
he p
roble
m. Label yo
ur
dra
win
g.
W
rite
an e
quation t
o s
olv
e t
he p
roble
m.
Are
a o
f th
e s
ign:
square
inches
3.
Lyd
ia is
knitting a
bla
nket. T
he b
lanket
will
be 5
feet
long a
nd
4 f
eet
wid
e. W
hat
will
the a
rea o
f th
e b
lanket
be?
A
24
square
feet
B
20
square
feet
C
15
square
feet
D
9 s
quare
feet
9 ×
8 =
72 or 8 ×
9 =
72
72
48
9
8
51
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ifflin Harcourt Publishing Company
51-52 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
5
8
3
5
63
9
4
Name
Practice Test
3.M
D.C
.7c
Geometric measurement: understand
concepts of area and relate area to
multiplication and division.
1.
Syd
ney
wants
to f
ind t
he a
rea o
f th
e larg
e r
ecta
ngle
by
addin
g t
he a
reas
of
the t
wo s
mall
recta
ngle
s.
Whic
h e
xpre
ssio
n c
ould
Syd
ney
use
to f
ind t
he a
rea o
f th
e larg
e r
ecta
ngle
?
A
(8 ×
5) +
(5
× 5
)
B
25
+ 2
0
C
(5 ×
5) +
(3
× 5
)
2.
Kyl
ie w
ants
to f
ind t
he a
rea o
f th
e larg
e r
ecta
ngle
by
addin
g t
he a
reas
of
the t
wo s
mall
recta
ngle
s.
Sele
ct
the e
xpre
ssio
ns
Kyl
ie c
ould
use
to f
ind t
he a
rea o
f th
e larg
e r
ecta
ngle
. M
ark
all
that
apply
.
A
24
+ 1
2
B
(4 ×
6) +
(4
× 3
)
C
(6 ×
4) +
(9
× 4
)
53
Practice Test
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ifflin Harcourt Publishing Company
STOP
6 m
eters
Corn
Squash
5 m
eters
3 m
eters
Name
Practice Test
3.
Lia
na p
lants
a v
egeta
ble
gard
en in t
wo r
ecta
ngula
r se
ctions.
She p
lants
corn
in a
section t
hat
is 5
mete
rs
long a
nd 6
mete
rs w
ide. She p
lants
squash
in a
section
that
is 3
mete
rs long a
nd 6
mete
rs w
ide.
Pa
rt
A
Desc
ribe o
ne w
ay
to f
ind t
he a
rea o
f th
e g
ard
en. Then
find t
he a
rea.
Po
ss
ible
an
sw
er:
I c
an
fin
d t
he
are
a o
f e
ach
se
cti
on
of
the
ga
rde
n a
nd
th
en
ad
d t
he
are
as
to
ge
the
r.
(5 ×
6)
+ (
3 ×
6)
= 3
0 +
18
= 4
8
Are
a:
square
mete
rs
Pa
rt
B
Dra
w a
pic
ture
of
the g
ard
en t
o s
how
your
answ
er
is
corr
ect.
48 54
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ifflin Harcourt Publishing Company
53-54 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
3.
Dra
w a
lin
e f
rom
the f
igure
to t
he a
rea o
f th
e f
igure
.
8 in.
4 in.
3 in.
2 in. 7 in.
6 in.
•
•
33
square
inches
8 in.
2 in.
5 in.
3 in.
5 in.
•
•
25
square
inches
3 in.1 in.
3 in.
5 in.
6 in.
6 in.
•
•
50
square
inches
4.
Kendra
use
d m
ark
ers
to c
olo
r th
e s
hape s
how
n b
elo
w. W
hat
is
the a
rea o
f th
e s
hape?
Show
your
work
. __
square
centim
ete
rs
9 cm
6 cm
2 cm
4 cm
5 cm
4 cm
38
56
Practice Test
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ifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.M
D.C
.7d
Geometric measurement: understand
concepts of area and relate area to
multiplication and division.
1.
Mrs
. R
ios
puts
tape a
round t
he s
ection o
f w
all
show
n t
o
indic
ate
the a
rea o
f th
e m
ura
l sh
e w
ill p
ain
t.
What
is t
he a
rea o
f th
e s
ection s
he w
ants
to p
ain
t? S
how
yo
ur
work
.
9 ft
4 ft
4 ft
3 ft
6 ft
8 ft
2.
Dra
w a
lin
e f
rom
the f
igure
to t
he a
rea o
f th
e f
igure
.
3 in.
3 in. 4 in.
7 in.
3 in.
6 in.
•
•
44
square
inches
4 in.
7 in.
8 in.
2 in.
5 in.
•
•
30
square
inches
1 in.
8 in.
5 in.
5 in.
4 in.
2 in.
•
•
36
square
inches
__
square
feet
48
55
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ifflin Harcourt Publishing Company
55-56 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.M
D.D
.8
Geometric measurement: recognize
perim
eter as an attribute of plane figures and
distinguish between linear and area measures.
1.
Kim
wants
to p
ut
trim
aro
und a
pic
ture
she d
rew
. H
ow
many
centim
ete
rs o
f tr
im d
oes
Kim
need f
or
the
peri
mete
r of
the p
ictu
re? 6 cm
6 cm
6 cm
6 cm
centim
ete
rs
2.
Yuji
dre
w t
his
fig
ure
on g
rid p
aper. W
hat
is t
he p
eri
mete
r of
the f
igure
?
units
3.
Shaw
n d
rew
a r
ecta
ngle
that
was
2 u
nits
wid
e a
nd
6 u
nits
long. D
raw
a d
iffe
rent
recta
ngle
that
has
the
sam
e p
eri
mete
r but
a d
iffe
rent
are
a.
24
18
Dra
win
gs
may
va
ry. A
cc
ep
t a
ll r
ec
tan
gle
s w
ith
a
pe
rim
ete
r o
f 16
un
its
an
d a
n a
rea
th
at
is n
ot
12
sq
ua
re
un
its
. P
os
sib
le d
raw
ing
is
sh
ow
n.
57
Practice Test
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ifflin Harcourt Publishing Company
STOP
A
B
C
D
Name
Practice Test
4. W
hic
h f
igure
has
a p
eri
mete
r of
20
units
and a
n a
rea o
f 1
6 s
quare
units?
5.
Anth
ony
wants
to m
ake t
wo d
iffe
rent
recta
ngula
r flow
erb
eds,
each w
ith a
n a
rea o
f 2
4 s
quare
feet. H
e
will
build
a w
ooden f
ram
e a
round e
ach f
low
erb
ed.
The f
low
erb
eds
will
have
sid
e length
s th
at
are
whole
num
bers
.
Pa
rt
A
Each u
nit s
quare
on t
he g
rid b
elo
w is
1 s
quare
foot.
Dra
w t
wo p
oss
ible
flo
werb
eds.
Label each w
ith a
lett
er.
A
B
Pa
rt
B
Whic
h o
f th
e f
low
erb
eds
will
take m
ore
wood t
o f
ram
e?
Exp
lain
how
you k
now
.
Dra
win
gs
wil
l va
ry. A
cc
ep
t a
ny
2 r
ec
tan
gle
s t
ha
t h
ave
an
are
a o
f 2
4 s
qu
are
un
its
ea
ch
. P
os
sib
le d
raw
ing
s a
re s
ho
wn
.
Pe
rim
ete
rs w
ill
va
ry. P
os
sib
le e
xp
lan
ati
on
: F
low
erb
ed
A h
as
a p
eri
me
ter
of
50
fe
et.
Flo
we
rbe
d B
ha
s a
pe
rim
ete
r o
f 2
2
fee
t. S
o, F
low
erb
ed
A w
ill
take
mo
re w
oo
d t
o f
ram
e.
58
Practice Test
Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
57-58 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Cir
cle
a n
um
ber
or
word
fro
m e
ach b
ox
to c
om
ple
te t
he
sente
nce t
o d
esc
ribe t
his
shape.
There
are
2 3 4
rig
ht
angle
s and
2 3 4
angle
s le
ssgre
ate
r
than a
rig
ht
angle
.
5.
Rhea u
sed a
Venn d
iagra
m t
o s
ort
shapes.
What
label
could
she u
se f
or
cir
cle
A?
Polygo
ns with All
Sides of Equal Length
A
6.
Ava
dre
w a
quadri
late
ral w
ith 2
pair
s of
opposi
te s
ides
that
are
para
llel.
The s
hape h
as
at
least
2 r
ight
angle
s.
Dra
w a
shape t
hat
Ava
could
have
dra
wn.
Possible answer: Polygons w
ith Right Angles
Possible answer shown. Student should draw either a
square or other rectangle.
60
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ifflin Harcourt Publishing Company
GO O
N
J
R
M
N
O
P
KL
Name
Pra
ctic
e T
est
3.G
.A.1
Reason with shapes and their
attributes.
1.
Whic
h w
ord
s desc
ribe t
his
shape?
Mark
all
that
apply
.
A
poly
gon
B
open s
hape
C
penta
gon
D
quadri
late
ral
2.
Whic
h w
ord
s desc
ribe t
his
shape?
Mark
all
that
apply
.
recta
ngle
rh
om
bus
quadri
late
ral
square
A
B
C
D
3.
Wri
te t
he n
am
e o
f each t
riangle
where
it
belo
ngs
in t
he
table
. Som
e t
riangle
s m
ight
belo
ng in b
oth
part
s of
the
table
. Som
e t
riangle
s m
ight
not
belo
ng in e
ither
part
.
Has
1 R
ight
Angle
Has
at
Least
2 S
ides
of
Equal
Length
LJ
NO
PP
RR
59
Pra
ctic
e T
est
Ge
ttin
g R
ea
dy
for
Hig
h-S
take
s A
sse
ssm
en
ts© Houghton M
ifflin Harcourt Publishing Company
59-60 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
GO O
N
Name
Practice Test
3.G
.A.2
Reason with shapes and their
attributes.
1.
Th
is h
exa
gon
has
been
div
ided
in
to t
rian
gle
s w
ith
eq
ual
are
as.
Wh
at
part
of
the a
rea o
f th
e h
exa
gon
is
the a
rea
of
each
tri
an
gle
?
A 1
__
2
B 1
__
5
C 1
__
6
D 6
__
6
2.
Div
ide e
ach
sh
ap
e in
to t
he n
um
ber
of
eq
ual p
art
s sh
ow
n.
Th
en
wri
te t
he f
raction
th
at
desc
rib
es
each
part
of
the
wh
ole
.
2 equal parts
4 equal parts
6 equal parts
3.
Vic
tor
dre
w lin
es
to d
ivid
e a
tra
pezo
id in
to e
qu
al p
art
s th
at
rep
rese
nt
1
_
3 o
f th
e w
hole
are
a. D
raw
lin
es
to s
how
h
ow
Vic
tor
div
ided
th
e t
rap
ezo
id.
1
_
2
1
_
4
1
_
6
Possible answer shown.
Possible divisions of the shapes are shown. Check students’ work.
61
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Getting Ready for High-Stakes Assessments
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ifflin Harcourt Publishing Company
STOP
Name
Practice Test
4.
Div
ide e
ach s
hape into
the n
um
ber
of
equal part
s sh
ow
n. Then w
rite
the f
raction t
hat
desc
ribes
each
part
of
the w
hole
.
1
_
8
3 equal parts
6 equal parts
8 equal parts
1
_
3
1
_
6
5.
Div
ide e
ach s
hape into
the n
um
ber
of
equal part
s sh
ow
n.
Then w
rite
the f
raction t
hat
desc
ribes
each p
art
of
the
whole
.
4 equal parts
6 equal parts
8 equal parts
6.
Cole
tte d
rew
lin
es
to d
ivid
e a
recta
ngle
into
equal part
s th
at
each r
epre
sent
1
_
4 o
f th
e w
hole
are
a. H
er
firs
t lin
e is
show
n. D
raw
to c
om
ple
te C
ole
tte’s
model.
1
_
4
1
_
6
1 _ 8
Possible divisions of the shapes are shown. Check students’ work.
Possible answer shown.
Possible divisions of the shapes are shown.
Check students’ work.
62
Practice Test
Getting Ready for High-Stakes Assessments
© Houghton M
ifflin Harcourt Publishing Company
61-62 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company
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