Download - Answer Key Getting Ready for High-Stakes Assessments

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GO O

N

Name

Practice Test

5.O

A.A

.1

Write and interpret numerical

expressions.

1.

Fin

d t

he p

rop

ert

y th

at

each

eq

uation

sh

ow

s.

Wri

te t

he e

qu

ation

in

th

e c

orr

ect

box.

Iden

tity

Pro

pert

y of

Ad

ditio

n

0 +

16 =

16

Com

muta

tive

Pro

per

ty

of

Mu

ltip

lication

87 ×

3 =

3 ×

87

Iden

tity

Pro

pert

y of

Mu

ltip

lication

1 ×

9 =

9

Ass

oci

ative

Pro

pert

y of

Mu

ltip

lication

15 ×

(7 ×

9)

= (15 ×

7)

× 9

Com

mu

tative

Pro

pert

y of

Ad

ditio

n

23 +

4 +

109 =

4 +

23 +

109

Ass

oci

ative

Pro

pert

y of

Ad

ditio

n

13 +

(3 +

7)

= (13 +

3)

+ 7

2.

For

nu

mb

ers

2a–2

b, s

ele

ct t

he c

orr

ect

valu

e f

or

the e

xpre

ssio

n.

2a.

55

– (

12

+ 2

), v

alu

e:

39

41

43

2

b. 2

5 +

(1

4 –

4)

÷ 5

, valu

e:

7 27

37

3.

Carm

ine b

uys

8 p

late

s fo

r $

1 e

ach

. He a

lso b

uys

4 b

ow

ls.

Each

bow

l co

sts

twic

e a

s m

uch

as

each

pla

te. T

he s

tore

is

havi

ng

a s

ale

th

at

giv

es

Carm

ine $

3 o

ff t

he b

ow

ls. W

hic

h

nu

meri

cal exp

ress

ion

sh

ow

s h

ow

mu

ch h

e s

pen

t?

A

8 +

[(4

× 1

6)

− 3

] C

8

+ [

(4 ×

2)

− 3

]

B

8 +

[4

× (

16

+ 3

)]

D

8 +

[(4

× 2

) +

3]

15

× (

7 ×

9)

= (

15

× 7

) ×

923 +

4 +

109 =

4 +

23 +

109

13

+ (

3 +

7)

= (

13

+ 3

) +

78

7 ×

3 =

3 ×

87

1 ×

9 =

90

+ 1

6 =

16

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Practice Test

STOP

Name

Practice Test

4.

Vale

rie e

arn

s $

24

per

hou

r. W

hic

h e

xpre

ssio

n c

an

be u

sed

to

sh

ow

how

mu

ch m

on

ey

she e

arn

s in

7 h

ou

rs?

A

(7 +

20

) +

(7

+ 4

)

B

(7 ×

20

) +

(7

× 4

)

C

(7 +

20

) ×

(7

+ 4

)

D

(7 ×

20

) ×

(7

× 4

)

5.

Eva

luate

th

e n

um

eri

cal exp

ress

ion

.

2 +

(6

5 +

7) ×

3 =

2

18

6.

Jack

ie f

ollo

wed

th

ese

ste

ps

to e

valu

ate

th

e e

xpre

ssio

n 1

5 −

(3

7 +

8) ÷

3.

37

+ 8

= 4

5

45

−1

5 =

30

30

÷ 3

= 1

0

Mark

looks

at

Jack

ie’s

work

an

d s

ays

sh

e m

ad

e a

mis

take.

He s

ays

sh

e s

hou

ld h

ave

div

ided

by

3 b

efo

re s

he s

ub

tract

ed

.

Pa

rt

A

Wh

ich

stu

den

t is

corr

ect

? E

xpla

in h

ow

you

kn

ow

.

Ma

rk;

Po

ss

ible

an

sw

er:

Ac

co

rdin

g t

o t

he

ord

er

of

op

era

tio

ns

, yo

u s

ho

uld

pe

rfo

rm d

ivis

ion

be

fore

su

btr

ac

tio

n.

Pa

rt

B

Eva

luate

th

e e

xpre

ssio

n.

37

∙ 8

∙ 4

5

45

∙ 3

∙ 1

5

15

∙ 1

5 ∙

0

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Practice Test

1-2 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

1.

An

ad

ult e

lep

han

t eats

ab

ou

t 3

00

pou

nd

s of

food

each

day.

Wri

te a

n e

xpre

ssio

n t

o r

ep

rese

nt

the n

um

ber

of

pou

nd

s of

food

a h

erd

of

12

ele

ph

an

ts e

ats

in

5 d

ays

.

5 ×

(300 ×

12)

2.

Tara

bou

gh

t 2

bott

les

of

juic

e a

day

for

15

days

. O

n t

he 1

6th

day,

Tara

bou

gh

t 7

bott

les

of

juic

e. W

rite

an

exp

ress

ion

th

at

matc

hes

the w

ord

s.

(2 ×

15) + 7

3.

Pau

l d

isp

lays

his

sp

ort

s tr

op

hie

s on

sh

elv

es

in h

is r

oom

. H

e h

as

5 t

rop

hie

s on

each

of

3 s

helv

es

an

d 2

tro

ph

ies

on

anoth

er

shelf.

Wri

te a

n e

xpre

ssio

n t

o r

ep

rese

nt

the n

um

ber

of

trop

hie

s P

au

l

dis

pla

ys.

(5 ×

3) + 2

4.

Pete

r ra

n 3

mile

s a d

ay

for

17

days

. O

n t

he 1

8th

day,

Pete

r ra

n 5

mile

s. W

rite

an

exp

ress

ion

th

at

matc

hes

the w

ord

s.

(3 ×

17) + 5

Practice Test

5.O

A.A

.2

Write and interpret numerical

expressions.

3Getting Ready for High-Stakes Assessments

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Practice Test

STOP

Name

Practice Test

5.

Dan

iel b

ou

gh

t 3

0 t

oken

s w

hen

he a

rriv

ed

at

the f

est

ival.

He w

on

8 m

ore

token

s fo

r g

ett

ing

th

e h

igh

est

score

at

the b

ask

etb

all

con

test

, b

ut

lost

6 t

oken

s at

the r

ing

toss

gam

e. W

rite

an

exp

ress

ion

to f

ind

th

e n

um

ber

of

token

s

Dan

iel h

as

left

.

30 +

8 – 6

6.

Wri

te 1

2.9

+ 8

usi

ng

word

s.

Possible answer: Add 8 to 12 and 9 tenths.

7.

Wri

te 8

÷ (

7 −

5)

usi

ng

word

s.

Possible answer: 8 divided by the difference

of 7 and 5

8.

Wh

ich

exp

ress

ion

s re

pre

sen

t m

ultip

lyin

g t

he s

um

of

8 a

nd

2 b

y 6

?

Mark

all

that

ap

ply

.

A

8 +

2 ×

6

B

(8 +

2)

× 6

C

8 +

(2

× 6

)

D

6 ×

(8

+ 2

)

E

6 ×

8 +

2

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Practice Test

3-4 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

1

. Th

e t

ab

le s

how

s tw

o s

eq

uen

ces

of

nu

mb

ers

.

Da

y1

23

45

Nu

mb

er

of

T-s

hir

ts s

old

510

15

20

25

Am

ou

nt

ea

rne

d (

$)

20

40

60

80

?

For

nu

mb

ers

1a–1

b, c

hoose

th

e c

orr

ect

valu

es

to d

esc

rib

e

how

on

e s

eq

uen

ce is

rela

ted

to t

he o

ther.

1a.

Th

e u

nkn

ow

n n

um

ber

in D

ay

5 is

9

0

10

0

12

0

.

1b

. Th

e r

ule

th

at

desc

rib

es

how

th

e n

um

ber

of

T-s

hir

ts s

old

rela

tes

to t

he a

mou

nt

earn

ed

is

.

2

. Ja

wan

mad

e a

tab

le t

o f

igu

re o

ut

how

mu

ch h

e e

arn

s at

his

job

.

Jo

b E

arn

ing

s

We

ek

12

34

...

6

Ho

urs

Wo

rke

d6

12

18

24

...

36

Am

ou

nt

Ea

rne

d (

$)

54

108

162

216

...

?

Pa

rt

A

Wri

te a

ru

le t

hat

rela

tes

the a

mou

nt

Jaw

an

earn

s to

the n

um

ber

of

hou

rs w

ork

ed

. Exp

lain

how

you

can

ch

eck

you

r ru

le.

Po

ss

ible

an

sw

er:

Th

e r

ule

is

mu

ltip

ly b

y 9

. I

ca

n c

he

ck

by

mu

ltip

lyin

g t

he

nu

mb

er

of

ho

urs

wo

rke

d e

ach

day

by

9. T

he

pro

du

ct

wil

l e

qu

al

the

am

ou

nt

ea

rne

d i

n t

he

ta

ble

.

Pa

rt

B

How

mu

ch d

oes

he e

arn

fro

m h

is job

by

the e

nd

of

Week 6

?

$

ad

d 1

5

mu

ltip

ly b

y 5

mu

ltip

ly b

y 4Practice Test

5.O

A.B

.3

Analyze patterns and relationships.

32

4

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Practice Test

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Name

Practice Test

3.

Look f

or

a p

att

ern

.

Figure 1

Figure 2

Figure 3

Figure 4

Wh

at

is t

he r

ule

?

How

man

y sq

uare

s w

ill t

here

be in

Fig

ure

5?

sq

uare

s

4.

Ste

ven

is

bu

yin

g a

new

mou

nta

in b

ike o

n laya

way

for

$2

72

. If

he p

ays

$3

4 e

ach

week, h

ow

man

y w

eeks

will

it

take

Ste

ven

to p

ay

for

the b

ike?

How

can

makin

g a

tab

le h

elp

yo

u s

olv

e t

he p

rob

lem

?

8 w

ee

ks

; P

os

sib

le e

xp

lan

ati

on

: I

ca

n m

ake

a t

ab

le t

ha

t

sh

ow

s h

ow

mu

ch

Ste

ve

n p

ays

ea

ch

we

ek

an

d t

he

to

tals

un

til

I re

ach

$2

72

.

5.

Look f

or

a p

att

ern

.

Figure 1

Figure 2

Figure 3

Figure 4

Wh

at

is t

he r

ule

?

How

man

y sq

uare

s w

ill t

here

be in

Fig

ure

5?

s

qu

are

s13

ad

d 2

ad

d 2

11

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ifflin Harcourt Publishing Company

Practice Test

5-6 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

BT.A

.1

Understand the place value system.

1.

Wh

ich

sta

tem

en

ts a

re c

orr

ect?

Mark

all

that

ap

ply

.

A

17

0 is

1

__

10 o

f 1

7

B

66

0 is

10

tim

es

as

mu

ch

as

60

0

C

90

0 is

1

__

10 o

f 9

,00

0

D

4,4

00

is

10

tim

es

as

much

as

44

0

2.

Carr

ie h

as

14

0 c

oin

s. S

he h

as

10

tim

es

as

man

y coin

s as

she

had

last

mon

th. H

ow

man

y coin

s d

id C

arr

ie h

ave

last

mon

th?

3.

Sele

ct

oth

er

ways

to w

rite

70

0,5

62

. M

ark

all

that

ap

ply

.

A

(7 ×

10

0,0

00

) +

( 5

× 1

,00

0 )

+ (

6 ×

10

) +

( 2

× 1

)

B

seve

n h

un

dre

d t

hou

san

d, five

hu

nd

red

six

ty-t

wo

C

70

0,0

00

+ 5

00

+ 6

0 +

2

D

7 h

un

dre

d t

hou

san

ds +

5 h

un

dre

ds +

62

ten

s

4.

Sh

ad

e t

he m

od

el to

sh

ow

th

e d

ecim

al 0

.54

5.

14

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Practice Test

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Name

Practice Test

5.

Sele

ct

oth

er

ways

to w

rite

58

.25

. M

ark

all

that

ap

ply

.

A

(5 ×

10

) +

(8

× 1

) +

( 2 ×

1

___

10

) + ( 5

×

1

____

10

0 )

B

50

+ 8

+

2

___

10

+

5

____

10

0

C

(5 ×

10

0) +

(8

× 1

0) +

( 2 ×

1

___

10

) + ( 5

×

1

____

10

0 )

D

fift

y-eig

ht

an

d t

wen

ty-f

ive h

un

dre

dth

s

6.

Th

e v

alu

e o

f th

e 8

in

8.4

is

10

0 t

imes

gre

ate

r th

an

th

e 8

in

0.0

84

0.8

4

8.4 84

.

7.

Sh

ad

e t

he m

od

el to

sh

ow

th

e d

ecim

al 0

.67

4.

8.

0.9

2 is

10

tim

es

as

mu

ch

as

0.0

09

2

0.0

92

0.9

2

9.2

an

d

1

___

10

of

0.0

09

2

0.0

92

0.9

2

9.2

.

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Practice Test

7-8 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

1.

Th

e t

ab

le s

how

s th

e e

qu

ation

s M

s. V

ale

z d

iscu

ssed

in

math

cla

ss t

od

ay.

Equations

6 ×

100 =

6

6 ×

101 =

60

6 ×

102 =

600

6 ×

103 =

6,000

Exp

lain

th

e p

att

ern

of

zero

s in

th

e p

rod

uct

wh

en

mu

ltip

lyin

g

by

pow

ers

of

10

.

Possible explanation: For each power of ten, the

number of zeros w

ritten after the base is the same as

the number in the exponent.

2.

Om

ar

is m

akin

g a

scale

mod

el of

the S

tatu

e o

f Lib

ert

y fo

r a

rep

ort

on

New

York

City.

Th

e S

tatu

e o

f Lib

ert

y is

30

5 f

eet

tall

measu

rin

g f

rom

th

e g

rou

nd

to t

he t

ip o

f th

e t

orc

h. If

th

e m

od

el

is

1

___

10

0 t

he a

ctu

al si

ze o

f th

e S

tatu

e o

f Lib

ert

y, h

ow

tall

is t

he m

od

el?

feet

3.

Wh

ich

eq

uation

sh

ow

s a c

orr

ect

pro

du

ct?

A

0.6

2 ×

10

= 6

2

B

0.5

3 ×

10

= 5

3

C

0

.09

× 1

00

= 9

D

0.6

0 ×

1,0

00

= 6

0

Practice Test

5.N

BT.A

.2

Understand the place value system.

3.05

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Practice Test

STOP

Name

Practice Test

4.

Nic

ole

is

makin

g 1

,00

0 b

ow

s fo

r p

eop

le w

ho d

on

ate

to t

he

libra

ry b

ook s

ale

. S

he n

eed

s a p

iece o

f ri

bb

on

th

at

is 0

.75

mete

r

lon

g f

or

each

bow

. H

ow

man

y m

ete

rs o

f ri

bb

on

does

Nic

ole

need

to m

ake t

he b

ow

s? E

xpla

in h

ow

to f

ind

th

e a

nsw

er.

75

0 m

ete

rs;

Po

ss

ible

ex

pla

na

tio

n:

Mu

ltip

ly 1

,00

0 b

y

0.7

5 b

y m

ov

ing

th

e d

ec

ima

l p

oin

t 3

pla

ce

s t

o t

he

rig

ht.

5.

Rita is

hik

ing

alo

ng a

tra

il th

at

is 1

3.7

mile

s lo

ng

. S

o f

ar

she

has

hik

ed

alo

ng

one-t

en

th o

f th

e t

rail.

How

far

has

Rita h

iked

?

mile

s

6.

Use

th

e n

um

bers

on

th

e t

iles

to w

rite

th

e v

alu

e o

f each

exp

ress

ion

. Y

ou

can u

se a

tile

more

th

an

on

ce o

r n

ot

at

all.

35

.5 ÷

10

0 =

35

.5 ÷

10

=

35

.5 ÷

10

2 =

7.

Sele

ct

oth

er

ways

to e

xpre

ss 1

04. M

ark

all

that

ap

ply

.

A

10

× 4

B

10

+ 4

C

1,0

00

D

10

,00

0

E

10

+ 1

0 +

10

+ 1

0

F

10

× 1

0 ×

10

× 1

0

.

0

3

5

1.3

7

35

.5

3.5

5

0.3

55

10

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Practice Test

9-10 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

BT.A

.3a

Understand the place value system.

1.

Wh

at

is t

he v

alu

e o

f th

e u

nd

erl

ined

dig

it?

Mark

all

that

ap

ply

.

0.6

79

A 0

.6

D si

x h

un

dre

dth

s

B 0

.06

E 6

×

1

___

10

C si

x te

nth

s

2.

Ch

oose

th

e v

alu

e t

hat

makes

the s

tate

men

t tr

ue.

In t

he n

um

ber

1.0

25

, th

e v

alu

e o

f th

e d

igit 2

is

2

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

, an

d t

he v

alu

e o

f th

e d

igit 5

is

5

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

.

3.

Wh

at

is t

he v

alu

e o

f th

e u

nd

erl

ined

dig

it?

Mark

all

that

ap

ply

.

0.5

89

A 0

.8

D eig

ht

hu

nd

red

ths

B 0

.08

E

8

×

1

___

10

C eig

ht

ten

ths

4.

Wh

at

is t

he v

alu

e o

f th

e u

nd

erl

ined

dig

it?

Mark

all

that

ap

ply

.

0.2

83

A

0.8

D

8

×

1

____

10

0

B

0.0

8

E

eig

ht

hu

nd

red

ths

C

8 ×

1

___

10

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Practice Test

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Name

Practice Test

5.

Ch

oose

th

e v

alu

e t

hat

makes

the s

tate

men

t tr

ue.

In t

he n

um

ber

2.1

75

, th

e v

alu

e o

f th

e d

igit 2

is

2

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

, an

d

the v

alu

e o

f th

e d

igit 7

is

7

on

es

ten

ths

hu

nd

red

ths

thou

san

dth

s

.

6.

Wri

te 9

.57

in

word

form

.

7.

Jon

is

not

sure

how

to w

rite

81

.40

2 in

exp

an

ded

form

usi

ng

pow

ers

of

ten

. C

op

y an

d c

om

ple

te t

he e

xpan

ded

form

of

the n

um

ber.

( 8 ×

) +

(1

× 1

) +

( 4 ×

) + ( 2 ×

)

8.

Wri

te (

2 ×

10

0) +

(9

× 1

) +

( 7 ×

1

___

10 ) +

( 8 ×

1

____

_ 1

,00

0 ) i

n

stan

dard

form

.

nin

e a

nd

fift

y-s

eve

n h

un

dre

dth

s

20

9.7

08

10

1

_____

1,0

00

1

__

10 1

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Practice Test

11-12 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

1.

Ch

az

kep

t a r

ecord

of

how

man

y g

allo

ns

of

gas

he p

urc

hase

d

each

day

last

week. D

ay

Gas (in gallons)

Monday

4.5

Tuesday

3.9

Wednesday

4.258

Thursday

3.75

Friday

4.256

Ord

er

the d

ays

fro

m least

am

ou

nt

of

gas

Ch

az

pu

rch

ase

d t

o

gre

ate

st a

mou

nt

of

gas

Ch

az

pu

rch

ase

d.

Thursday

Tuesday

Friday

Wednesday

Monday

2.

For

nu

mb

ers

2a–2

c, ch

oose

th

e s

ymb

ol th

at

makes

the

com

pari

son

tru

e.

2a.

sixt

een

hu

nd

red

ths

> < =

0.0

20

2b

. 3

×

1

___

10 +

4 ×

1

____

10

0 +

8 ×

1

_____

1,0

00

> < =

on

e a

nd

tw

o t

en

ths

2c.

3.0

67

> < =

3 ×

1 +

6 ×

1

___

10 +

4 ×

1

_____

1,0

00

Practice Test

5.N

BT.A

.3b

Understand the place value system.

Least

Gre

ate

st

13

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Practice Test

3.

Jasm

ine k

ep

t a r

ecord

of

how

man

y m

iles

she r

an

each

week

du

rin

g o

ne m

on

th.

Week

Distance (in m

iles)

Week 1

4.754

Week 2

4.752

Week 3

5.19

Week 4

5.75

Ord

er

the w

eeks

from

th

e f

ew

est

nu

mb

er

of

mile

s Ja

smin

e r

an

to

the g

reate

st n

um

ber

of

mile

s Ja

smin

e r

an

.

Week 2

Week 1

Week 3

Week 4

Least

Gre

ate

st

4.

Th

e f

ou

r h

igh

est

score

s at

a d

ivin

g m

eet

were

9.0

8, 9

.1,

9.1

5, an

d 9

.06

poin

ts. C

hoose

th

e n

um

bers

th

at

make

the s

tate

men

t tr

ue.

Th

e low

est

of

these

fou

r sc

ore

s w

as

9.0

8

9.1

9.1

5

9.0

6

poin

ts.

Th

e h

igh

est

of

these

fou

r sc

ore

s w

as

9.0

8

9.1

9.1

5

9.0

6

poin

ts.

5.

In w

hic

h n

um

ber

is t

he v

alu

e o

f th

e d

igit 5

gre

ate

r? W

rite

th

e

nu

mb

er

in t

he b

ox.

3.514

25

25

14

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13-14 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

4.

Th

e p

rice

of

a c

ert

ain

bra

nd

of

cere

al at

the g

roce

ry s

tore

is

$0

.25

8 p

er

ou

nce

. Wh

ich

sta

tem

en

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

Rou

nd

ed

to t

he n

eare

st w

hole

nu

mb

er, t

he p

rice

is

$1

per

ou

nce

.

B

Rou

nd

ed

to t

he n

eare

st t

en

th, t

he p

rice

is

$0

.3 p

er

ou

nce

.

C

Rou

nd

ed

to t

he n

eare

st h

un

dre

dth

, th

e p

rice

is

$0

.26

per

ou

nce

.

D

Rou

nd

ed

to t

he n

eare

st h

un

dre

dth

, th

e p

rice

is

$0

.30

per

ou

nce

.

5.

Wh

ich

sta

tem

en

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

1.6

82

in

ches

rou

nd

ed

to t

he n

eare

st w

hole

nu

mb

er

is

1 in

ch.

B

1.6

82

in

ches

rou

nd

ed

to t

he n

eare

st w

hole

nu

mb

er

is

2 in

ches.

C

1.6

82

in

ches

rou

nd

ed

to t

he n

eare

st t

en

th is

1.6

in

ches.

D

1.6

82

in

ches

rou

nd

ed

to t

he n

eare

st h

un

dre

dth

is

1.6

8 in

ches.

6.

Tru

dy

is g

oin

g t

o L

on

don

next

su

mm

er. E

ach

week, s

he r

eco

rds

the v

alu

e o

f on

e B

ritish

pou

nd

in

U.S

. dolla

rs. T

he t

ab

le s

how

s th

e d

ata

sh

e h

as

reco

rded

so f

ar.

Week

Value of 1 British Pound (in U.S dollars)

11.598

21.616

31.634

41.623

For

wh

ich

tw

o w

eeks

was

the v

alu

e o

f 1

Bri

tish

pou

nd

th

e

sam

e w

hen

rou

nd

ed t

o t

he n

eare

st h

un

dre

dth

of

a d

olla

r?

Weeks 2 and 4

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Practice Test

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N

Name

Practice Test

5.N

BT.A

.4

Understand the place value system.

1.

Wh

ich

sta

tem

en

ts a

re c

orr

ect?

Mark

all

that

ap

ply

.

A

16

.43

7 r

ou

nd

ed

to t

he n

eare

st w

hole

nu

mb

er

is 1

6.

B

16

.43

7 r

ou

nd

ed

to t

he n

eare

st t

en

th is

16

.4.

C

16

.43

7 r

ou

nd

ed

to t

he n

eare

st h

un

dre

dth

is

16

.43

.

2.

Rafa

el b

ou

gh

t 2

.15

pou

nd

s of

pota

to s

ala

d a

nd

4.2

5 p

ou

nd

s

of

macaro

ni sa

lad

to b

rin

g t

o a

pic

nic

. W

hic

h s

tate

men

t is

corr

ect?

A

Rou

nd

ed

to t

he n

eare

st w

hole

nu

mb

er, R

afa

el bou

gh

t

2 p

ou

nd

s of

pota

to s

ala

d.

B

Rou

nd

ed

to t

he n

eare

st w

hole

nu

mb

er, R

afa

el b

ou

gh

t

5 p

ou

nd

s of

macaro

ni sa

lad

.

C

Rou

nd

ed

to t

he n

eare

st t

en

th, R

afa

el b

ou

gh

t 2

.1 p

ou

nd

s of

pota

to s

ala

d.

D

Rou

nd

ed

to t

he n

eare

st t

en

th, R

afa

el b

ou

gh

t 4

.2 p

ou

nd

s of

pota

to s

ala

d.

3.

Mic

helle

record

s th

e v

alu

e o

f on

e E

uro

in

U.S

. d

olla

rs e

ach

day

for

her

socia

l st

ud

ies

pro

ject. T

he t

ab

le s

how

s th

e d

ata

sh

e h

as

record

ed

so f

ar.

Day

Value of 1 Euro

(in U.S. dollars)

Monday

1.448

Tuesday

1.443

Wednesday

1.452

Thursday

1.458

On

wh

ich

tw

o d

ays

was

the v

alu

e o

f 1

Eu

ro t

he s

am

e w

hen

rou

nd

ed

to t

he n

eare

st h

un

dre

dth

of

a d

olla

r?

Monday and W

ednesday

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15-16 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

BT.B

.5

Perform operations with multi-digit

whole numbers and with decimals to

hundredths.

1.

It is

3,4

52

feet

rou

nd

tri

p t

o C

raig

’s s

ch

ool.

If h

e w

en

t to

sch

ool 1

79

tim

es

this

year, h

ow

man

y fe

et

did

he t

rave

l in

all? fe

et

2.

Solv

e. S

how

you

r w

ork

4,1

93

× 3

81

3.

Jean

nett

e e

ats

an

ave

rag

e o

f 2

,12

5 c

alo

ries

each

day

for

a

year. In

a 3

65

-day

year, w

hat

is t

he t

ota

l n

um

ber

of

calo

ries

Jean

ett

e e

ats

?

calo

ries

4.

For

nu

mb

ers

4a–4

c, fill

in t

he n

um

ber

that

com

ple

tes

the

eq

uation

.

4a.

1,2

05

× 3

21

= 386,805

4b

. 1

,36

2 ×

40

9 =

557,058

4c.

1,1

81

× 2

36

= 278,716

617,908

775,625

1,597,533; Check students’ work.

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Practice Test

STOP

Name

Practice Test

5.

A larg

e f

act

ory

pays

each

new

em

plo

yee a

sala

ry o

f $

2,8

80

per

mon

th. T

he f

act

ory

is

hir

ed

to m

ake a

new

pro

du

ct a

nd

need

s to

h

ire m

an

y n

ew

em

plo

yees.

Wh

ich

sta

tem

en

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

10

0 n

ew

em

plo

yees

will

earn

a t

ota

l of

$2

8,8

80

in

a m

on

th.

B

11

1 n

ew

em

plo

yees

will

earn

a t

ota

l of

$3

19

,68

0 in

a

mon

th.

C

15

0 n

ew

em

plo

yees

will

earn

a t

ota

l of

$4

32

,00

0 in

a

mon

th.

D

17

5 n

ew

em

plo

yees

will

earn

a t

ota

l of

$6

50

,40

0 in

a

mon

th.

6.

It is

1,3

25

feet

from

Kin

sey’

s h

ou

se t

o h

er

frie

nd

Carl

ito’s

hou

se.

Wh

en

sh

e v

isits

Carl

ito, s

he w

alk

s to

his

hou

se a

nd

gets

a r

ide

hom

e f

rom

Carl

ito’s

mom

. How

man

y fe

et

does

Kin

sey

walk

to

Carl

ito’s

hou

se in

11

2 v

isits?

feet

7.

Solv

e. S

how

you

r w

ork

2,9

96

× 7

43

8.

A m

ach

ine c

an

seal 1

79

en

velo

pes

in 1

min

ute

. If

there

are

1

,44

0 m

inu

tes

in a

24

-hou

r d

ay,

how

man

y en

velo

pes

can

th

e

mach

ine s

eal in

1 d

ay?

enve

lopes

148,400

257,760

2,226,028; Check students’ work.

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Practice Test

17-18 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

5.

Wri

te t

he lett

er

for

each

qu

ick p

ictu

re u

nd

er

the d

ivis

ion

pro

ble

m it

rep

rese

nts

.

6.

Div

ide 5

75

by

14

by

usi

ng

part

ial q

uotien

ts. W

hat

is t

he

qu

otien

t? S

how

you

r w

ork

.

A

BC

15

6 ÷

12

= 1

3

B

16

8 ÷

12

= 1

4

C

14

4 ÷

12

= 1

2

A

10 ×

14

10

10 ×

14 10

10 ×

14 10

10 ×

14 10

1 ×

14 + 1

___

41

14 ‾

575

− 140

435

− 140

_

295

− 140

_

155

− 140

_

15

− 14

_

1

41 r1;

Possible w

ork shown.

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Practice Test

GO O

N

Name

Practice Test

5.N

BT.B

.6

Perform operations with multi-digit

whole numbers and with decimals to

hundredths.

1.

Jill

wan

ts t

o f

ind

th

e q

uotien

t. U

se m

ultip

lication

an

d t

he

Dis

trib

utive

Pro

pert

y to

help

Jill

fin

d t

he q

uotien

t.

14

4 ÷

8 =

18

Mu

ltip

lication

18 ×

8 =

144

Dis

trib

utive

Pro

pert

y (8 ×

10) + (8 ×

8) = 144

2.

Ch

oose

th

e w

ord

th

at

makes

the s

en

ten

ce t

rue.

Th

e f

irst

dig

it in

th

e q

uotien

t of

1,8

75

÷ 9

w

ill b

e in

th

e

on

es

ten

s

hu

nd

red

s

thou

san

ds

pla

ce.

3.

Dan

a is

makin

g a

seatin

g c

hart

for

an

aw

ard

s b

an

quet. T

here

are

18

4 p

eop

le c

om

ing

to t

he b

an

qu

et. If

8 p

eop

le c

an

be

seate

d a

t each

tab

le, h

ow

man

y ta

ble

s w

ill b

e n

eed

ed f

or

the

aw

ard

s b

an

qu

et?

tab

les

4.

Wh

ich

eq

uation

sh

ow

s a c

orr

ect

qu

otien

t?

A

22

5 ÷

9 =

25

B

15

4 ÷

8 =

22

C

31

2 ÷

9 =

39

D

41

2 ÷

2 =

26

0

23

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GO O

N

Name

Practice Test

5.N

BT.B

.7

Perform operations with multi-digit

whole numbers and with decimals to

hundredths.

1.

Cla

yton

Road

is

2.3

5 m

iles

lon

g. W

ood

Pik

e R

oad

is

1.7

mile

s lo

ng

.

Kis

ha u

sed

a q

uic

k p

ictu

re t

o f

ind

th

e c

om

bin

ed

len

gth

of

Cla

yton

Road

an

d

Wood

Pik

e R

oad

. D

oes

Kis

ha’s

work

make s

en

se?

Exp

lain

wh

y or

wh

y n

ot.

Th

en

fin

d t

he c

orr

ect

len

gth

of

the c

om

bin

ed

tra

ils.

Ye

s. P

os

sib

le e

xp

lan

ati

on

: S

he

re

gro

up

ed

th

e 1

0 t

en

ths

as

1 o

ne

an

d a

dd

ed

th

e 1

to

th

e w

ho

le n

um

be

rs. T

he

co

mb

ine

d l

en

gth

of

the

2 t

rail

s i

s 4

.05

mil

es

.

2.

A v

et

measu

red

th

e m

ass

of

two b

ird

s. T

he m

ass

of

the r

ob

in w

as

76

.64

gra

ms.

Th

e m

ass

of

the b

lue jay

was

81

.54

gra

ms.

Wh

at

was

the d

iffe

ren

ce in

th

e m

ass

es

of

the b

ird

s?

g

ram

s

3.

Ken

an

d L

eah

are

try

ing

to s

olv

e a

scie

nce h

om

ew

ork

qu

est

ion

.

Th

ey

need

to f

ind

ou

t h

ow

mu

ch

a r

ock t

hat

weig

hs

4 p

ou

nd

s on

Eart

h

wou

ld w

eig

h o

n V

en

us.

Th

ey

kn

ow

th

ey

can

mu

ltip

ly t

he a

mou

nt

the

rock w

eig

hs

on

Eart

h b

y 0

.91

to f

ind

its

weig

ht

on

Ven

us.

Sele

ct

the

part

ial p

rod

ucts

Ken

an

d L

eah

wou

ld n

eed

to a

dd

to f

ind

th

e p

rod

uct

of

4 a

nd

0.9

1. M

ark

all

that

ap

ply

.

A

0.9

5

D

3.6

B

0.0

4

E

0.3

.6

C

3.6

5

4.9

21

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Practice Test

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Name

Practice Test

4.

Wri

te e

ach

nu

mb

er

in a

box

next

to t

he e

xpre

ssio

n t

hat

has

the

sam

e v

alu

e. A

nu

mber

may

be u

sed

more

th

an

on

ce.

8.9

98

9.9

89

9

2

9 ×

3.1

= 89.9

0

.29

× 3

1 =

8.99

2

.9 ×

31

= 89.9

5.

Melin

da, Z

ach

ary

, an

d H

eath

er

wen

t to

th

e m

all

to s

hop

for

sch

ool su

pp

lies.

M

elin

da s

pen

t $

14

.25

on

her

sup

plie

s. Z

ach

ary

sp

en

t $

2.3

0 m

ore

th

an

M

elin

da s

pen

t. H

eath

er

spen

t 2

tim

es

as

mu

ch m

on

ey

as

Zach

ary

sp

en

t.

How

mu

ch d

id H

eath

er

spen

d o

n s

chool su

pp

lies? $

6.

Dra

w a

mod

el to

sh

ow

5.5

÷ 5

.

5.5

÷ 5

=

1.1

7.

Em

ma, B

ran

dy,

an

d D

am

ian

will

cu

t a r

op

e t

hat

is 2

9.8

feet

lon

g in

to

4 ju

mp

rop

es.

Each

of

the 4

ju

mp

rop

es

will

be t

he s

am

e len

gth

. W

rite

a d

ivis

ion

sen

ten

ce t

o f

ind

th

e len

gth

of

each

rop

e.

29.8 ÷

4 =

7.45

33.10

22

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Practice Test

21-22 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

F.A

.1

Use equivalent fractions as a strategy

to add and subtract fractions.

1.

Wri

te e

qu

ivale

nt

fraction

s fo

r 2

_

5 a

nd

1

_

3 t

hat

cou

ld b

e u

sed

to

fin

d t

he s

um

of

the f

raction

s.

Possible answers:

6

__

15

an

d

5

__

15

2.

Jill

bro

ug

ht

2 1

_

3 b

oxe

s of

carr

ot

mu

ffin

s fo

r a b

ake s

ale

. M

ike b

rou

gh

t

1 3

_

4 b

oxe

s of

ap

ple

mu

ffin

s. W

hat

is t

he t

ota

l n

um

ber

of

boxe

s of

mu

ffin

s Ji

ll an

d M

ike b

rou

gh

t to

th

e b

ake s

ale

? b

oxe

s of

mu

ffin

s

3.

Josh

ua u

ses

a r

ule

to w

rite

th

e f

ollo

win

g s

eq

uen

ce o

f n

um

bers

.

1

__

6 , 1

__

2 , 5

__

6 ,

, 1

1

__

2

W

hat

rule

did

Josh

ua u

se?

W

hat

is t

he m

issi

ng

nu

mb

er

in t

he s

eq

uen

ce?

4.

For

nu

mb

ers

4a–4

c, te

ll w

heth

er

each

exp

ress

ion

was

rew

ritt

en

usi

ng

th

e C

om

mu

tative

Pro

pert

y or

the A

ssocia

tive

Pro

pert

y. C

hoose

the c

orr

ect

pro

pert

y of

ad

ditio

n.

4

a.

1

__

6 +

( 7

__

8 +

5

__

6 ) =

1

__

6 +

( 5

__

6 +

7

__

8 )

4

b.

( 7

___

10 +

1

__

3 ) +

1

___

10 =

( 1

__

3 +

7

___

10 ) +

1

___

10

4

c.

( 6 2

__

5 +

4

__

9 ) +

3 2

__

9 =

6 2

__

5 +

( 4

__

9 +

3 2

__

9 )

Ass

ocia

tive

Pro

pert

y

Com

muta

tive

Pro

pert

y

Ass

ocia

tive

Pro

pert

y

Com

muta

tive

Pro

pert

y

Ass

ocia

tive

Pro

pert

y

Com

muta

tive

Pro

pert

y

4 1

__

12

add 1

_

3

1 1

_

6

23

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Practice Test

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Name

Practice Test

5.

Jeff

rey

walk

ed

1

_

3 m

ile o

n M

on

day

an

d jog

ged

3

_

4 m

ile o

n T

uesd

ay.

How

far

did

he w

alk

an

d jog

on

Mon

day

an

d T

uesd

ay

com

bin

ed

?

Use

th

e t

iles

to c

om

ple

te t

he f

raction

str

ip m

od

el to

sh

ow

how

you

fou

nd

you

r an

swer. T

he f

raction

s m

ay

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

1

1 3

3 4

1 12

1 12

1 12

1 12

1 12

1 12

1 12

1 12

1 12

1 12

1 12

1 12

1 12

mile

(s)

6.

Each

week, Tom

exe

rcis

es

4

_

5 h

ou

r on

Mon

days

an

d 5

_

6 h

ou

r on

Fri

days

.

Pa

rt

A

Com

ple

te t

he c

alc

ula

tion

s b

elo

w t

o w

rite

eq

uiv

ale

nt

fraction

s w

ith

a c

om

mon

den

om

inato

r. P

os

sib

le a

nsw

ers

giv

en

.

4

__

5 =

4 ×

6

__________

5 ×

6

=

24

______

30

5

__

6 =

5 ×

5

__________

6 ×

5

=

25

______

30

Pa

rt

B

How

mu

ch

tim

e d

oes

Tom

sp

en

d e

xerc

isin

g o

n M

on

day

an

d F

rid

ay

each

week?

Exp

lain

how

you

fou

nd

you

r an

swer.

1 1

9

__

30 h

ou

rs;

Po

ss

ible

an

sw

er:

To

fi n

d t

he

to

tal

am

ou

nt

of

tim

e s

pe

nt

exe

rcis

ing

, I

ad

de

d t

he

nu

me

rato

rs a

nd

ke

pt

the

sa

me

de

no

min

ato

r to

fi n

d 2

4

__

30 +

25

__

30 =

49

__

30 . T

he

n

I re

gro

up

ed

30

__

30 a

s 1

, le

av

ing

19

__

30 l

eft

ove

r. I

wro

te t

he

an

sw

er

as

1 1

9

__

30 .

Pa

rt

C

Last

week, Tom

sp

ent

1

__

10 h

ou

r le

ss t

ime t

han

norm

al exe

rcis

ing

.

How

mu

ch

tim

e d

id T

om

sp

en

d e

xerc

isin

g last

week?

Exp

lain

.

1 1

6

__

30 h

ou

rs;

Po

ss

ible

an

sw

er:

I c

ha

ng

ed

1

__

10 t

o

3

__

30 .

I th

en

su

btr

ac

ted

3

__

30 f

rom

th

e s

um

of

the

oth

er

2 f

rac

tio

ns

.

1 1

9

__

30 −

3

__

30 =

1 1

6

__

30 .

1 _ 4

1 _ 2

1

__

12

3 _ 4

1 _ 3

1

1 1

__

12

24

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Practice Test

23-24 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

F.A

.2

Use equivalent fractions as a strategy

to add and subtract fractions.

1.

Th

e s

had

ed

part

of

the d

iag

ram

sh

ow

s w

hat

port

ion

of

a f

ull

mete

r of

stri

ng

Gen

ie h

as.

Sh

e w

ill u

se 3

_

5 m

ete

r of

stri

ng

to m

ake b

racele

ts. H

ow

mu

ch

of

the s

trin

g w

ill s

he

have

left

aft

er

makin

g t

he b

racele

ts?

1 m

A

1

___

10 m

ete

r

B

3

___

10 m

ete

r

C

3

__

5 m

ete

r

D

6

__

5 m

ete

r

2.

Sop

hia

bab

ysat

for

3 7

__

12 h

ou

rs o

n F

rid

ay.

Sh

e b

ab

ysat

for

2 5

_

6 h

ou

rs

on

Satu

rday.

For

nu

mb

ers

2a–2

c, est

imate

how

lon

g S

op

hia

bab

ysat

on

Fri

day

an

d S

atu

rday

com

bin

ed

. C

hoose

th

e c

orr

ect

ben

ch

mark

s

an

d s

um

.

2

a.

Sop

hia

bab

ysat

for

ab

ou

t

2 3 3 1

_

2

4

hou

rs o

n F

rid

ay.

2

b.

Sop

hia

bab

ysat

for

ab

ou

t

1 2 2 1

_

2

3

hou

rs o

n S

atu

rday.

2

c.

Sop

hia

bab

ysat

for

ab

ou

t

5 5 1

_

2

6 6 1

_

2

hou

rs o

n F

rid

ay

an

d S

atu

rday

com

bin

ed

.

25

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Practice Test

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Name

Practice Test

3.

Fou

r st

ud

en

ts s

pen

t tim

e v

olu

nte

eri

ng

last

weeken

d. Th

e t

ab

le

show

s h

ow

mu

ch

tim

e e

ach

stu

den

t sp

en

t vo

lun

teeri

ng

.

Volu

nte

ering

Student

Tim

e (in hours)

Amy

4 5 _ 6

Beth

6 1 _ 2

Victor

5 3 _ 4

Cal

5 2 _ 3

Matc

h e

ach

pair

of

stu

den

ts w

ith

th

e d

iffe

ren

ce b

etw

een

how

mu

ch

tim

e t

hey

spen

t vo

lun

teeri

ng

.

Am

y an

d V

icto

r •

• 3

_

4 h

ou

r

Cal an

d B

eth

11

__

12 h

ou

r

Beth

an

d V

icto

r •

• 5

_

6 h

ou

r

4.

Rod

rig

o p

racticed

pla

yin

g t

he g

uitar

15

1

_

3 h

ou

rs o

ver

the p

ast

3 w

eeks.

He p

racticed

for

6 1

_

4 h

ou

rs d

uri

ng

th

e f

irst

week a

nd

4 2

_

3 h

ou

rs d

uri

ng

th

e s

econ

d w

eek. H

ow

mu

ch

tim

e d

id R

od

rig

o

spen

d p

racticin

g d

uri

ng

th

e t

hir

d w

eek?

Use

th

e n

um

bers

an

d

sym

bols

to w

rite

an

eq

uation

th

at

rep

rese

nts

th

e p

rob

lem

.

Th

en

solv

e t

he e

qu

ation

. S

ymb

ols

may

be u

sed

more

th

an

on

ce

or

not

at

all.

15 1 __

3

6 1 __

4

4 2 __

3

x=

+

P

ractice t

ime d

uri

ng

th

ird

week:

hou

rs

Possible answer: 15 1

__

3 =

6 1

__

4 +

4 2

__

3 +

x

4 5

__

12

26

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Practice Test

25-26 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

5.

Ste

ve is

bu

yin

g a

pp

les

for

the f

ifth

gra

de. Each

bag

hold

s 1

2 a

pp

les.

If t

here

are

75

stu

den

ts t

ota

l, h

ow

man

y b

ag

s of

ap

ple

s w

ill S

teve

need

to b

uy

if h

e w

an

ts t

o g

ive o

ne a

pp

le t

o e

ach

stu

den

t?

bag

s

6.

Ru

ss a

nd

Vic

kie

are

try

ing

to s

olv

e t

his

pro

ble

m: Th

ere

are

14

6 s

tud

en

ts t

akin

g b

use

s to

th

e m

use

um

. If

each

bu

s h

old

s

24

stu

den

ts, h

ow

man

y b

use

s w

ill t

hey

need

?

R

uss

says

th

e s

tud

ents

need

6 b

use

s. V

ickie

says

th

ey

need

7 b

use

s. W

ho is

corr

ect?

Exp

lain

you

r re

aso

nin

g.

Vic

kie

is

co

rre

ct.

Th

e a

nsw

er

to t

he

pro

ble

m i

s 6

2

__

24 . T

his

me

an

s t

ha

t th

ere

are

6 f

ull

bu

se

s o

f s

tud

en

ts a

nd

2 e

xtr

a

stu

de

nts

. Th

os

e 2

stu

de

nts

mu

st

als

o t

rave

l b

y b

us

to

th

e

mu

se

um

; s

o, a

n e

xtr

a b

us

is

ne

ed

ed

, m

ak

ing

th

e t

ota

l

7 b

us

es

.

7.

Seve

n f

rien

ds

pic

ked

7 q

uart

s of

blu

eb

err

ies.

Th

ree o

f th

e f

rien

ds

will

sh

are

4 q

uart

s of

blu

eb

err

ies

eq

ually

, an

d t

he o

ther

4 f

rien

ds

will

sh

are

3 q

uart

s of

the b

lueb

err

ies

eq

ually

. In

wh

ich

gro

up

does

each

fri

en

d g

et

a g

reate

r am

ou

nt

of

blu

eb

err

ies?

Exp

lain

you

r re

aso

nin

g.

Th

e g

rou

p o

f 3

fri

en

ds

wil

l g

et

a g

rea

ter

am

ou

nt

of

blu

eb

err

ies

. P

os

sib

le e

xp

lan

ati

on

: 4

∙ 3

∙ 4

_

3 a

nd

3 ∙

4

∙ 3

_

4

4

_

3 ∙

1 1

_

3

1 1

_

3 >

3

_

4

8.

Nin

e f

rien

ds

share

3 p

um

pkin

pie

s eq

ually

. W

hat

fraction

of

a

pu

mp

kin

pie

does

each

fri

en

d g

et?

Each

fri

en

d w

ill g

et

3

_

9 o

r 1

_

3

of

a p

um

pkin

pie

.

7

28

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Practice Test

GO O

N

Name

Practice Test

5.N

F.B

.3

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

1.

Sam

uel n

eed

s 2

33

feet

of

wood

to b

uild

a f

en

ce. Th

e w

ood

com

es

in len

gth

s of

11

feet.

Pa

rt

A

How

man

y to

tal p

ieces

of

wood

will

Sam

uel n

eed

? E

xpla

in y

ou

r an

swer.

22

pie

ce

s;

Po

ss

ible

ex

pla

na

tio

n:

I n

ee

d t

o d

ivid

e 2

33

by

11. T

he

an

sw

er

is 2

1 2

__

11

. S

inc

e S

am

ue

l c

an

’t b

uy

a p

art

ial

pie

ce

of

wo

od

, I

ne

ed

to

ad

d 1

to

th

e q

uo

tie

nt.

So

, th

e

fi n

al

an

sw

er

is 2

2.

Pa

rt

B

Th

ere

sa n

eed

s tw

ice a

s m

an

y fe

et

of

wood

as

Sam

uel.

How

man

y

pie

ces

of

wood

does

Th

ere

sa n

eed

? E

xpla

in y

ou

r an

swer.

43

pie

ce

s o

f w

oo

d;

Po

ss

ible

ex

pla

na

tio

n: T

wic

e t

he

len

gth

of

23

3 f

ee

t is

46

6 f

ee

t. I

f I

div

ide

46

6 b

y 1

1, th

e

an

sw

er

is 4

2 4

__

11

. Th

ere

sa

ne

ed

s t

o b

uy

43

pie

ce

s o

f w

oo

d.

2.

Tw

elv

e p

ou

nd

s of

bean

s are

dis

trib

ute

d e

qu

ally

in

to 8

bag

s to

giv

e

ou

t at

the f

ood

ban

k. H

ow

man

y p

ou

nd

s of

bean

s are

in

each

bag

?

pou

nd

s

3.

Fiv

e f

rien

ds

share

3 b

ag

s of

trail

mix

eq

ually

. W

hat

fraction

of

a b

ag

of

trail

mix

does

each

fri

en

d g

et?

Ea

ch

fri

en

d w

ill

rec

eiv

e 3

_

5 o

f a

bag

of

tra

il m

ix.

4.

Zoe h

as

5 c

ucu

mb

ers

sh

e g

rew

in

her

gard

en

. S

he w

an

ts t

o s

hare

them

eq

ually

am

on

g 4

of

her

neig

hb

ors

. H

ow

man

y cu

cu

mb

ers

will

each

neig

hbor

receiv

e?

Use

th

e n

um

bers

on

th

e t

iles

to c

om

ple

te t

he

nu

mb

er

sen

ten

ce. Y

ou

may

use

a n

um

ber

more

th

an o

nce o

r n

ot

at

all.

12

3

45

6

5

÷

4 =

5

________

4

=

1

1

________

4

3

_

2 o

r 1

1

_

2

27

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Practice Test

27-28 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

F.B

.4a

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

1.

Mrs

. W

illia

ms

is o

rgan

izin

g h

er

off

ice s

up

plie

s. T

here

are

3 o

pen

boxe

s of

pap

er

clip

s in

her

desk

dra

wer. E

ach

box

has

7

_

8 o

f

the p

ap

er

clip

s re

main

ing

. H

ow

man

y b

oxe

s of

pap

er

clip

s are

left

?

Sh

ad

e t

he m

od

el an

d c

om

ple

te t

he c

alc

ula

tion

s b

elo

w t

o s

how

how

you

fou

nd

you

r an

swer.

3 ×

7

__

8 =

21

______

8

=

fu

ll b

oxe

s of

pap

er

clip

s

2.

Log

an

bou

gh

t 1

5 b

allo

on

s. F

ou

r-fift

hs

of

the b

allo

on

s are

pu

rple

.

How

man

y of

the b

allo

on

s are

pu

rple

? D

raw

a m

od

el to

sh

ow

how

you

fou

nd

you

r an

swer.

Possible answer:

pu

rple

ballo

on

s12

3.

Tan

iqu

a t

ook a

test

th

at

had

20

mu

ltip

le-c

hoic

e q

uest

ion

s an

d

10

Tru

e/F

als

e q

uest

ion

s. S

he g

ot

9

__

10 o

f th

e m

ultip

le-c

hoic

e

qu

est

ion

s corr

ect, a

nd

sh

e g

ot

4

_

5 o

f th

e T

rue/F

als

e q

uest

ion

s corr

ect.

3

a.

How

man

y m

ultip

le-c

hoic

e q

uest

ion

s d

id T

an

iqu

a g

et

corr

ect?

mu

ltip

le-c

hoic

e q

uest

ion

s

3

b.

How

man

y Tru

e/F

als

e q

uest

ion

s d

id T

an

iqu

a g

et

corr

ect?

T

rue/F

als

e q

uest

ion

s

2 5

_

8

18

8

29

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Practice Test

STOP

Name

Practice Test

4.

Fra

nn

ie p

ut

2

_

3 o

f h

er

mu

sic c

olle

ction

on

an

mp

3 p

laye

r. W

hile

on

vacation

, sh

e lis

ten

ed

to 3

_

5 o

f th

e m

usi

c o

n t

he p

laye

r. H

ow

mu

ch

of

Fra

nn

ie’s

mu

sic c

olle

ction

did

sh

e lis

ten

to w

hile

on

vacation

?

For

nu

mb

ers

4a–4

d, ch

oose

th

e c

orr

ect

valu

es

to d

esc

rib

e h

ow

to

solv

e t

he p

rob

lem

.

4

a.

Dra

w a

recta

ng

ula

r arr

ay

with

3 r

ow

s an

d

3 4 5

colu

mn

s.

4

b.

Sh

ad

e

1 2 3

of

the r

ow

s g

ray.

4

c.

Sh

ad

e

3 5 6

of

the g

ray

squ

are

s b

lack.

4

d.

Fra

nn

ie lis

ten

ed

to

2

__

5

3

__

5

3

___

10

of

her

mu

sic c

olle

ction

wh

ile o

n v

acation

.

5.

In a

fifth

gra

de c

lass

, 4

_

5 o

f th

e g

irls

have

bro

wn

hair

. O

f th

e

bro

wn

-hair

ed

gir

ls, 3

_

4 o

f th

em

have

lon

g h

air

. O

f th

e g

irls

with

lon

g b

row

n h

air

, 1

_

3 o

f th

em

have

gre

en

eye

s.

Pa

rt

A

Wh

at

fraction

of

the g

irls

in

th

e c

lass

have

lon

g b

row

n h

air

?

of

the g

irls

Pa

rt

B

Wh

at

fraction

of

the g

irls

in

th

e c

lass

have

lon

g b

row

n h

air

an

d

gre

en

eye

s?

of

the g

irls

1

_

5

3

_

5

30

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Practice Test

29-30 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

5.

Peg

gy

is m

akin

g a

qu

ilt u

sin

g p

an

els

th

at

are

1

_

2 f

oot

by

1

_

2 f

oot.

Th

e q

uilt

is

5 1

_

2 f

eet

lon

g a

nd

4 f

eet

wid

e.

Pa

rt

A

Let

each

sq

uare

of

the g

rid

belo

w r

ep

rese

nt

1

_

2 f

oot

by

1

_

2 f

oot.

Dra

w a

recta

ng

le o

n t

he g

rid

to r

ep

rese

nt

the q

uilt

.

Po

ss

ible

an

sw

er:

Pa

rt

B

Wh

at

is t

he a

rea o

f th

e q

uilt

? E

xpla

in h

ow

you

fou

nd

you

r an

swer.

sq

uare

feet

Po

ss

ible

ex

pla

na

tio

n: T

he

re a

re 8

ro

ws

an

d 1

1

co

lum

ns

of

sq

ua

res

, fo

r a

to

tal

of

8 ×

11

∙ 8

8 s

qu

are

s.

Ea

ch

sq

ua

re r

ep

res

en

ts a

n a

rea

of

1

_

2 ×

1

_

2 ∙

1

_

4 s

qu

are

foo

t. S

o, th

e a

rea o

f th

e q

uilt

is 8

8 ×

1

_

4 ∙

22

sq

ua

re f

ee

t.

6.

An

are

a r

ug

has

an

are

a o

f 4

8 s

qu

are

feet. T

wo s

imila

r ru

gs

have

are

as

of

10

8 s

qu

are

feet

an

d 1

92

sq

uare

feet. In

each

ru

g,

the len

gth

is

1 1

_

3 t

imes

the w

idth

. W

hic

h o

f th

e f

ollo

win

g c

ou

ld

be t

he d

imen

sion

s of

on

e o

f th

e a

rea r

ug

s? M

ark

all

that

ap

ply

.

A

6 f

eet

by

8 f

eet

B

10

feet

by

18

feet

C

9 f

eet

by

12

feet

D

12

feet

by

16

feet

E

4 f

eet

by

12

feet

22

32

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Practice Test

GO O

N

7 8yd

3

1 4yd

5

Name

1.

Cale

b’s

fam

ily r

oom

has

the d

imen

sion

s

show

n. H

e n

eed

s to

fin

d t

he a

rea o

f th

e

room

so t

hat

he k

now

s h

ow

mu

ch

carp

et

to b

uy.

Com

ple

te t

he a

rea m

od

el b

elo

w t

o

fin

d t

he a

rea o

f th

e f

am

ily r

oom

.

1 4

45

53

3

1

1

5

35

33

3 3

5 5

15

5

1 4

3 4

7 8

7 8

1 4

7 32

7 8

3 8

are

a o

f th

e r

oom

=

sq

uare

yard

s

2.

Lou

is w

an

ts t

o c

arp

et

the r

ecta

ng

ula

r floor

of

his

base

men

t.

Th

e b

ase

men

t h

as

an

are

a o

f 8

64

sq

uare

feet. T

he w

idth

of

the b

ase

men

t is

2

_

3 i

ts len

gth

. W

hat

is t

he len

gth

of

Lou

is’s

base

men

t?

feet

3.

A p

ost

card

has

an

are

a o

f 2

4 s

qu

are

in

ch

es.

Tw

o e

nla

rgem

en

ts

of

the p

ost

card

have

are

as

of

54

sq

uare

in

ch

es

an

d 9

6 s

qu

are

inch

es.

In

each

post

card

, th

e len

gth

is

1 1

_

2 t

imes

the w

idth

.

Wh

ich

of

the f

ollo

win

g c

ou

ld b

e t

he d

imen

sion

s of

the p

ost

card

or

on

e o

f th

e e

nla

rgem

en

ts?

Mark

all

that

ap

ply

.

A

6 in

ch

es

by

9 in

ch

es

D

6 in

ch

es

by

12

in

ch

es

B

10

in

ches

by

15

in

ch

es

E

4 in

ch

es

by

6 in

ches

C

8 in

ch

es

by

12

in

ch

es

4.

Th

e G

ilbert

s are

desi

gn

ing

a r

ecta

ng

ula

r p

atio. Th

e p

atio h

as

an

are

a o

f 4

32

sq

uare

feet. T

he w

idth

of

the p

atio is

3

_

4 i

ts len

gth

.

Wh

at

is t

he len

gth

of

the p

atio?

feetP

ractice Test

5.N

F.B

.4b

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

20 11

__

32

36

24

31

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Practice Test

31-32 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

F.B

.5a

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

1.

Dia

na w

ork

ed

on

her

scie

nce p

roje

ct

for

5 1

_

3 h

ou

rs. G

ab

e w

ork

ed

on

his

scie

nce p

roje

ct

1 1

_

4 t

imes

as

lon

g a

s D

ian

a. P

aula

work

ed

on

her

scie

nce p

roje

ct

3

_

4 t

imes

as

lon

g a

s D

ian

a. W

hic

h s

tate

men

ts

are

corr

ect?

Mark

all

that

ap

ply

.

A

Dia

na w

ork

ed

lon

ger

on

her

scie

nce p

roje

ct

than G

ab

e

work

ed

on

his

scie

nce p

roje

ct.

B

Pau

la w

ork

ed

less

on

her

scie

nce p

roje

ct

than

Dia

na

work

ed o

n h

er

scie

nce p

roje

ct.

C

Gab

e w

ork

ed

lon

ger

on

his

scie

nce p

roje

ct

than

Pau

la

work

ed

on

her

scie

nce p

roje

ct.

D

Gab

e w

ork

ed

lon

ger

on

his

scie

nce p

roje

ct

than D

ian

a a

nd

Pau

la c

om

bin

ed

.

2.

Wri

te e

ach

mu

ltip

lication

exp

ress

ion

in

th

e c

orr

ect

box.

4

__

5 ×

1 1

__

8

1

__

3 ×

4

__

5

3

× 4

__

5

4

__

5 ×

4

__

5

8

__

8 ×

4

__

5

4

__

5 ×

2

__

2

Pro

du

ct

is e

qu

al to

4

_

5 .

8

_

8 ×

4

_

5 , 4

_

5 ×

2

_

2

Pro

du

ct

is g

reate

r th

an

4

_

5 .

4

_

5 ×

1 1

_

8 , 3 ×

4

_

5

Pro

du

ct

is less

th

an

4

_

5 .

1

_

3 ×

4

_

5 , 4

_

5 ×

4

_

5

3.

Dore

en

liv

es

3

_

4 m

ile f

rom

th

e lib

rary

. S

heila

liv

es

1

_

3 a

s fa

r

aw

ay

from

th

e lib

rary

as

Dore

en

. W

hic

h s

tate

men

t is

corr

ect?

A

Dore

en liv

es

fart

her

from

th

e lib

rary

th

an

Sh

eila

.

B

Sh

elia

liv

es

1

_

3 m

ile f

rom

th

e lib

rary

.

C

Sh

eila

liv

es

twic

e a

s fa

r fr

om

th

e lib

rary

as

Dore

en

.

D

Sh

eila

an

d D

ore

en

liv

e t

he s

am

e d

ista

nce f

rom

th

e lib

rary

.

33

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Practice Test

STOP

Name

Practice Test

4.

Wri

te e

ach

mu

ltip

lication

exp

ress

ion

in

th

e c

orr

ect

box.

5

__

6 ×

2

__

3

2

× 5

__

6

5

__

6 ×

4

__

4

5

__

6 ×

7

__

3

1

0

___

10 ×

5

__

6

5

__

6 ×

5

__

6

Pro

du

ct

is e

qu

al to

5

_

6 .

5

_

6 ∙

4

_

4 , 10

__

10 ∙

5

_

6

Pro

du

ct

is g

reate

r th

an

5

_

6 .

2 ∙

5

_

6 , 5

_

6 ∙

7

_

3

Pro

du

ct

is less

th

an

5

_

6 .

5

_

6 ∙

2

_

3 , 5

_

6 ∙

5

_

6

5.

Stu

art

rod

e h

is b

icyc

le 6

3

_

5 m

iles

on

Fri

day.

On

Satu

rday

he r

od

e 1

1

_

3 t

imes

as

far

as

he r

od

e o

n F

rid

ay.

On

Su

nd

ay

he r

od

e 5

_

6 t

imes

as

far

as

he r

od

e o

n F

rid

ay.

Wh

ich

sta

tem

en

ts

are

corr

ect?

Mark

all

that

ap

ply

.

A

Stu

art

rod

e m

ore

mile

s on

Satu

rday

than

he r

od

e

on

Fri

day.

B

Stu

art

rod

e m

ore

mile

s on

Fri

day

than

he r

od

e o

n

Satu

rday

an

d S

un

day

com

bin

ed

.

C

Stu

art

rod

e f

ew

er

mile

s on

Su

nd

ay

than

he r

od

e

on

Fri

day.

D

Stu

art

rod

e m

ore

mile

s on

Su

nd

ay

than

he r

od

e

on

Satu

rday.

6.

Wri

te e

ach

mu

ltip

lication

exp

ress

ion

in

th

e c

orr

ect

box.

2

__

3 ×

2

__

3

5

__

6 ×

2

__

3

4 1

__

8 ×

2

__

3

4

__

4 ×

2

__

3

2

__

3 ×

2

2

__

3 ×

5

__

5 Pro

du

ct

is less

th

an

2

__

3 .

2

_

3 ×

2

_

3 , 5

_

6 ×

2

_

3

Pro

du

ct

is e

qu

al to

2

__

3 .

4

_

4 ×

2

_

3 , 2

_

3 ×

5

_

5

Pro

du

ct

is g

reate

r th

an

2

__

3 .

4 1

_

8 ×

2

_

3 , 2

_

3 ×

2

34

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Practice Test

33-34 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

1.

A s

cie

ntist

had

3

_

5 l

iter

of

solu

tion

. H

e u

sed

1

_

6 o

f th

e s

olu

tion

for

an

exp

eri

men

t. H

ow

mu

ch

solu

tion

did

th

e s

cie

ntist

use

for

the e

xperi

men

t? U

se t

he n

um

bers

on

th

e t

iles

to c

om

ple

te

the c

alc

ula

tion

s. Y

ou

may

use

nu

mb

ers

more

th

an

on

ce o

r n

ot

at

all.

3

__

5 ×

1

__

6 =

3 ×

1

_________

5 ×

6

=

3

______

30

=

1

______

10

liter

2.

For

nu

mb

ers

2a–2

d, w

ith

ou

t m

ultip

lyin

g, u

se t

he s

ymb

ols

fro

m

the lis

t on

th

e r

igh

t to

in

dic

ate

th

at

the p

rod

uct

will

com

pare

with

th

e f

acto

r. S

ymb

ols

can

be u

sed

more

th

an

on

ce.

<>

=

2a.

13

___ 4

× 5

__

8 =

x

x

< 1

3

___

4

x

> 5

__

8

2b

. 4

__

3 ×

6

= x

x

> 4

__

3

x

> 6

2c.

2

__

5 ×

1

__

7

= x

x

< 2

__

5

x

< 1

__

7

2d

. 5

__

8 ×

7

__

7

= x

x

= 5

__

8

x

< 7

__

7

3.

4

__

5 ×

3

__

8

<

>

=

4

__

5

4.

8

__

6 ×

2

__

3

<

>

=

2

__

3

Practice Test

5.N

F.B

.5b

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

1

2

3

4

6

10

2

0

30

1

__

10

35

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Practice Test

STOP

Name

Practice Test

5.

With

ou

t m

ultip

lyin

g, cla

ssify

each

pro

du

ct

as

bein

g less

th

an

2

_

3 , eq

ual to

2

_

3 , or

gre

ate

r th

an

2

_

3 . W

rite

th

e lett

er

of

each

exp

ress

ion

un

der

the c

orr

ect

cate

gory

.

A 2

__

3 ×

1

__

5

B

2

__

3 ×

8

__

5

C

2

__

3 ×

9

__

9

D

2

__

3 ×

6

__

1

E

2

__

3 ×

8

__

9

F

2

__

3 ×

2

A, E

CB, D, F

Less

Th

an

2

__

3

Eq

ual to

2

__

3

Gre

ate

r Th

an

2

__

3

6.

For

nu

mb

ers

6a–6

d, w

ith

ou

t m

ultip

lyin

g, u

se t

he s

ymb

ols

from

th

e lis

t on

th

e r

igh

t to

in

dic

ate

how

th

e p

rod

uct

will

com

pare

with

th

e f

acto

r. S

ymb

ols

can

be u

sed

more

th

an

on

ce.

6a.

3

__

4 ×

15

___

7 =

x

x

> 3

__

4

x

<

15

___

7

6b

. 7

× 6

__

5 =

x

x

> 7

x

> 6

__

5

6c.

8

__

9 ×

1

__

5 =

x

x

< 8

__

9

x

< 1

__

5

6d

. 8

__

8 ×

7

___

10 =

x

x

< 8

__

8

x

=

7

___

10

7.

6

___

13 ×

3

__

4

<

>

=

3

__

4

8.

4

__

7 ×

5

__

3

<

>

=

4

__

7

9.

5

__

9 ×

3

__

3

<

>

=

5

__

9

<

>

=

36

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ifflin Harcourt Publishing Company

Practice Test

35-36 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

1.

Kayl

a w

alk

s 3

2

_

5 m

iles

each

day.

Wh

ich

of

the f

ollo

win

g s

tate

men

ts

corr

ectly

desc

rib

e h

ow

far

she w

alk

s? M

ark

all

that

ap

ply

.

A

Kayl

a w

alk

s 1

4 2

__

5 m

iles

in 4

days

.

B

Kayl

a w

alk

s 2

3 4

__

5 m

iles

in 7

days

.

C

Kayl

a w

alk

s 3

4 m

iles

in 1

0 d

ays

.

D

Kayl

a w

alk

s 1

02

2

__

5 m

iles

in 3

1 d

ays

.

2.

Th

e t

ab

le s

how

s h

ow

man

y h

ou

rs s

om

e o

f th

e p

art

-tim

e

em

plo

yees

at

the t

oy

store

work

ed

last

week.

Name

Hours W

orked

Conrad

6 2

_

3

Giova

nni

9 1

_

2

Sally

10 3

_

4

Th

is w

eek, C

on

rad

will

work

1 3

_

4 t

imes

lon

ger

than

last

week.

Gio

van

ni w

ill w

ork

1 1

_

3 t

imes

lon

ger

than

last

week. S

ally

will

work

2

_

3 t

he n

um

ber

of

hou

rs s

he w

ork

ed

last

week. M

atc

h

each

em

plo

yee’s

nam

e t

o t

he n

um

ber

of

hou

rs h

e o

r sh

e

will

work

th

is w

eek.

Em

plo

ye

e

Ho

urs

Th

is W

ee

k

Con

rad

7 1

__

6

Gio

van

ni

12

2

__

3

Sally

11

2

__

3

3.

Jake w

rote

4 e

qu

ation

s on

th

e b

oard

. W

hic

h o

f Ja

ke's

eq

uation

s

are

corr

ect?

Mark

all

that

ap

ply

.

A

3

__

5 ×

2

__

7 =

21

___

10

B

2

__

9 ×

5

__

3 =

10

___

27

C

7

__

8 ×

5

__

9 =

35

___

72

D

1

__

2 ×

3

__

5 =

4

___

10

Practice Test

5.N

F.B

.6

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

37

Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

Practice Test

STOP

Name

Practice Test

4.

Jess

ica is

cre

atin

g a

ban

ner

that

will

be 2

_

5 m

ete

r w

ide. W

hic

h

state

men

ts c

orr

ectly

desc

rib

e t

he a

rea h

er

ban

ner

will

be f

or

each

len

gth

? M

ark

all

that

ap

ply

.

A

A 2

_

5 -m

ete

r-lo

ng

ban

ner

will

have

an

are

a o

f 4

__

25 m

ete

r

squ

are

d.

B

A 5

_

8 -m

ete

r-lo

ng

ban

ner

will

have

an

are

a o

f 1

0

__

25 m

ete

r

squ

are

d.

C

A 3

_

4 -m

ete

r-lo

ng

ban

ner

will

have

an

are

a o

f 6

__

20 m

ete

r

squ

are

d.

D

A

9

__

10 -m

ete

r-lo

ng

ban

ner

will

have

an

are

a o

f 1

8

___

10

0 m

ete

r

squ

are

d.

5.

Th

e t

ab

le s

how

s h

ow

man

y b

ag

s of

can

ned

good

s each

cla

ss c

olle

cte

d d

uri

ng

th

e f

irst

week o

f a f

ood

dri

ve.

Class

Bags of Canned G

oods

4th G

raders

3 1

_

2

5th G

raders

2 3

_

4

6th G

raders

3 1

_

4

Next

week t

he 4

th g

rad

ers

hop

e t

o c

olle

ct

1 1

_

3 t

imes

as 

man

y

bag

s of

can

ned

good

s as

the f

irst

week. Th

e 5

th g

rad

ers

’ g

oal

is t

o c

olle

ct

1 3

_

4 t

imes

as

man

y b

ag

s of 

can

ned

good

s as

they

colle

cte

d in

week 1

. Th

e 6

th g

rad

ers

hop

e t

o c

olle

ct

1 1

_

2 t

imes

as

man

y b

ag

s of 

can

ned

good

s. M

atc

h e

ach

cla

ss t

o t

he n

um

ber

of

bag

s of

can

ned

good

s th

ey

hop

e t

o c

olle

ct

next

week.

Class

Next Week’s G

oal (bags)

4th G

raders

4 13

__

16

5th G

raders

4 7

_

8

6th G

raders

4 2

_

3

• • •

• • • 38

Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

Practice Test

37-38 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

5.

Ad

an

has

1

_

2 q

uart

of

milk

. If

he p

ou

rs t

he s

am

e a

mou

nt

of

milk

in

to

3 g

lass

es,

each

gla

ss w

ill c

on

tain

1

_

6

qu

art

of

milk

.

6.

Bre

nd

an

mad

e a

loaf

of

bre

ad

. H

e g

ave

eq

ual p

ort

ion

s

of

1

_

2 o

f th

e loaf

of

bre

ad

to 6

fri

en

ds.

Wh

ich

dia

gra

m

cou

ld B

ren

don

use

to f

ind

th

e f

raction

of

the loaf

of

bre

ad

th

at

each

fri

en

d r

eceiv

ed

? M

ark

all

that

ap

ply

.

A

B

C

D

7.

Lan

don

an

d C

olin

bou

gh

t 1

_

2 p

ou

nd

of

stra

wb

err

ies.

Th

ey

are

shari

ng

th

e s

traw

berr

ies

eq

ually

. Each

pers

on

will

receiv

e

1

_

4

pou

nd

of

stra

wb

err

ies.

40

Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

Practice Test

GO O

N

Name

1.

A b

uild

er

has

an

8-a

cre

plo

t d

ivid

ed

in

to 1

_

4 -a

cre

hom

e s

ites.

How

man

y 1

_

4 -a

cre

hom

e s

ites

are

th

ere

?

Th

ere

are

32

hom

e s

ites.

2.

For

nu

mb

ers

2a–2

e, w

rite

th

e n

um

ber

that

makes

the e

qu

ation

corr

ect.

2a.

3 ÷

1

__

4 =

12

2b

. 7

÷ 1

__

2 =

14

2c.

1

__

5 ÷

4 =

1

__

20

2d

. 1

_

2

÷ 5

=

1

___

10

2e.

1

__

7 ÷

3 =

1

__

21

3.

Ch

oose

th

e n

um

bers

to c

reate

a s

tory

pro

ble

m t

hat

rep

rese

nts

4 ÷

1

_

6 .

B

ill b

ou

gh

t

4 1

__

6

4

__

6

pou

nd

(s)

of

ch

eese

.

H

e m

ad

e g

rille

d c

heese

san

dw

ich

es

an

d u

sed

4 1

__

6

4

__

6

pou

nd

(s)

of

ch

eese

in

each

san

dw

ich

.

B

ill m

ad

e 2

4 s

an

dw

ich

es.

4.

Div

ide. D

raw

a n

um

ber

line t

o s

how

you

r w

ork

.

2 ÷

1

__

3 =

6

12

0

Practice Test

5.N

F.B

.7a

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

39

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ifflin Harcourt Publishing Company

Practice Test

39-40 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.N

F.B

.7b

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

1.

Gab

riel m

ade 4

sm

all

meatloave

s. H

e c

ut

each

meatloaf

into

fou

rth

s. H

ow

man

y 1

_

4 -s

ize p

ieces

of

meatloaf

does

Gab

riel h

ave

? D

raw

lin

es

in t

he m

od

el to

fin

d t

he a

nsw

er.

Gab

riel h

as

16

1

_

4 -s

ize p

ieces

of

meatloaf.

2.

Cam

illa h

as

a 1

_

2 p

ou

nd

of

rais

ins

that

she w

ill d

ivid

e e

ven

ly

into

5 b

ag

s. S

had

e t

he d

iag

ram

to s

how

th

e f

raction

al p

art

of

a p

ou

nd

th

at

will

be in

each

bag

.

3.

A 6

-mile

walk

ing

tra

il h

as

a d

ista

nce m

ark

er

eve

ry 1

_

3 m

ile.

How

man

y m

ark

ers

are

alo

ng

th

e t

rail?

Th

ere

are

m

ark

ers

alo

ng

th

e t

rail.

4.

Eri

c h

as

4 p

ieces

of

cla

y. H

e c

ut

each

pie

ce o

f cla

y in

to t

hir

ds.

How

man

y 1

_

3 -s

ize p

ieces

of

cla

y d

oes

Eri

c h

ave

? D

raw

lin

es

in

the m

od

el to

fin

d t

he a

nsw

er.

Eri

c h

as

1

_

3 -s

ize p

ieces

of

cla

y.

5.

Cecila

has

1

_

3 p

ou

nd

of

trail

mix

th

at

she w

ill d

ivid

e e

qu

ally

in

to

3 b

ag

s. S

had

e t

he d

iag

ram

to s

how

th

e f

raction

al p

art

of

a

pou

nd

th

at

will

be in

each

bag

.

18

12

41

Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

Practice Test

STOP

Name

Practice Test

6.

Ad

rian

mad

e 3

gra

nola

bars

. H

e c

ut

each

bar

into

fou

rth

s. H

ow

man

y 1

_

4 -s

ize p

ieces

of

gra

nola

bar

does

Ad

rian

have

? D

raw

lines

in t

he m

od

el to

fin

d t

he a

nsw

er.

Ad

rian

has

on

e-q

uart

er-

size

pie

ces

of

gra

nola

bar.

7.

Kyl

e m

ad

e a

loaf

of

ban

an

a b

read

. H

e g

ave

eq

ual p

ort

ion

s

of

1

_

2 o

f th

e loaf

to 4

fri

en

ds.

Wh

ich

dia

gra

m c

ou

ld K

yle u

se t

o

fin

d t

he f

raction

of

the loaf

that

each

fri

en

d r

eceiv

ed

? M

ark

all

that

ap

ply

.

A

B

C

D

8.

Ben

is

makin

g b

read t

hat

calls

for

5 c

up

s of

flou

r. H

is

measu

rin

g c

up

on

ly h

old

s 1

_

2 c

up

. H

ow

man

y tim

es

will

Ben

need

to f

ill t

he m

easu

rin

g c

up

to g

et

the 5

cu

ps

of

flou

r?

B

en

wil

l n

ee

d t

o fi

ll t

he

me

as

uri

ng

cu

p 1

0 t

ime

s.

9.

Tin

a h

as

1

_

2 q

uart

of

iced

tea. S

he p

ou

rs t

he s

am

e a

mou

nt

into

each

of

3 g

lass

es.

Wh

ich

eq

uation

rep

rese

nts

th

e f

raction

of

a

qu

art

of

iced

tea t

hat

is in

each

gla

ss?

Mark

all

that

ap

ply

.

A 1

__

2

÷ 1

__

3

= n

C

2

÷ 1

__

3

= n

E

2

× 1

__

3

= n

B 2

÷ 3

= n

D

1

__

2

× 1

__

3

= n

F

1

__

2 ÷

3 =

n

12

42

Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

Practice Test

41-42 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

4.

Mrs

. G

reen

wro

te t

he f

ollo

win

g p

rob

lem

on

th

e w

hiteb

oard

:

Lis

a a

nd

Fra

nk s

hare

d 1

_

3 p

ou

nd

of

ch

err

ies

eq

ually

. W

hat

fraction

al p

art

of

a p

ou

nd

did

each p

ers

on

receiv

e?

Pa

rt

A

Molly

wro

te t

he f

ollo

win

g e

qu

ation

to s

olv

e t

he p

rob

lem

: 2

÷ 1

_

3 =

n.

Do y

ou

ag

ree w

ith

Molly

’s e

qu

ation

? S

up

port

you

r an

swer

with

info

rmation

fro

m t

he p

rob

lem

.

No

, I

dis

ag

ree

. P

os

sib

le a

nsw

er:

Lis

a a

nd

Fra

nk

are

sh

ari

ng

1

_

3 p

ou

nd

of

ch

err

ies

, a

nd

I n

ee

d t

o d

ivid

e 1

_

3

by

2, s

o t

he

co

rre

ct

eq

ua

tio

n i

s 1

_

3 ÷

2 =

n.

Pa

rt

B

Noah

dre

w t

his

dia

gra

m t

o s

olv

e t

he p

rob

lem

.

Can

Noah

use

his

dia

gra

m t

o f

ind

th

e f

raction

al

part

of

a p

ou

nd

of

ch

err

ies

that

each

pers

on

receiv

ed

?

Su

pp

ort

you

r an

swer

with

in

form

ation

fro

m t

he

pro

ble

m.

Ye

s. P

os

sib

le a

nsw

er:

No

ah

div

ide

d t

he

cir

cle

in

to 3

eq

ua

l p

art

s t

o r

ep

res

en

t th

ird

s. T

he

n, h

e d

ivid

ed

ea

ch

thir

d i

n h

alf

. H

e s

ha

de

d h

alf

of

1

_

3 o

f th

e c

ircle

. S

o, th

e

dia

gra

m r

ep

res

en

ts 1

_

3 ÷

2 =

1

_

3 ×

1

_

2 =

1

_

6 .

Sin

ce

1

_

6 o

f th

e

cir

cle

is

sh

ad

ed

, L

isa

an

d F

ran

k w

ill

ea

ch

ge

t 1

_

6 p

ou

nd

of

ch

err

ies

.

5.

Kayl

eig

h h

as

1

_

4 -c

up

of

oil.

Sh

e p

ou

rs t

he s

am

e a

mou

nt

into

each

of

2 o

il la

mp

s. W

hic

h e

qu

ation

rep

rese

nts

th

e f

raction

of

a c

up

of

oil

that

is in

each

oil

lam

p?

Mark

all

that

ap

ply

.

A 1

__

2 ÷

1

__

4 =

n

B 1

__

4 ×

1

__

2 =

n

C 2

÷ 1

__

4 =

n

D 4

÷ 2

= n

E 1

__

4 ÷

2 =

n

F 2

× 1

__

4 =

n

44

Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

Practice Test

GO O

N

Name

Practice Test

5.N

F.B

.7c

Apply and extend previous

understandings of multiplication and division

to multiply and divide fractions.

1.

Mau

reen

has

1

_

4 p

ou

nd

of

rais

ins.

Sh

e d

ivid

es

the r

ais

ins

into

4 s

erv

ing

s. E

ach

serv

ing

con

tain

s 1

__

16

pou

nd

of

rais

ins.

2.

A g

ian

t to

rtois

e c

an

walk

ab

ou

t 1

__

10 m

ete

r p

er

secon

d o

n lan

d.

A c

oote

r tu

rtle

can

walk

ab

ou

t 1

_

2 m

ete

r p

er

secon

d o

n lan

d.

Pa

rt

A

How

lon

g w

ou

ld it

take a

gia

nt

tort

ois

e t

o t

rave

l 5

mete

rs?

Sh

ow

you

r w

ork

.

5 ÷

1

__

10 =

5 ×

10

= 5

0

It w

ou

ld t

ake

th

e g

ian

t to

rto

ise

50

se

co

nd

s t

o t

rave

l

5 m

ete

rs.

Pa

rt

B

How

mu

ch

lon

ger

wou

ld it

take a

gia

nt

tort

ois

e t

han

a c

oote

r tu

rtle

to t

rave

l 1

0 m

ete

rs o

n lan

d?

Exp

lain

how

you

fou

nd

you

r an

swer.

80

se

co

nd

s l

on

ge

r; P

os

sib

le e

xp

lan

ati

on

: F

irs

t, I

fo

un

d t

he

tim

e i

t w

ou

ld t

ake

th

e g

ian

t to

rto

ise

to

tra

ve

l 10

me

ters

:

10

÷

1

__

10 =

10

× 1

0 =

10

0, o

r 10

0 s

ec

on

ds

. Th

en

, I

fou

nd

the

tim

e i

t w

ou

ld t

ake

th

e c

oo

ter

turt

le t

o t

rave

l 10

me

ters

:

10

÷ 1

_

2 =

10

× 2

= 2

0, o

r 2

0 s

ec

on

ds

. Th

en

I s

ub

tra

cte

d

10

0 −

20

= 8

0.

3.

Dora

bu

ys o

ne p

ackag

e e

ach

of

1­p

ou

nd

, 2

­pou

nd

, an

d 4

­pou

nd

packag

es

of

gro

un

d b

eef

to m

ake h

am

bu

rgers

.

How

man

y 1

_

4 ­p

ou

nd

ham

bu

rgers

can

sh

e m

ake?

Sh

ow

you

r w

ork

usi

ng

word

s, p

ictu

res,

or

nu

mb

ers

.

Ch

eck

stu

de

nts

’ wo

rk. 2

8 h

am

bu

rge

rs;

Po

ss

ible

ex

pla

na

tio

n:

I fo

un

d t

he

to

tal

nu

mb

er

of

po

un

ds

of

gro

un

d b

ee

f D

ora

bo

ug

ht:

1 +

2 +

4 =

7. T

he

n, I

wro

te a

re

late

d m

ult

ipli

ca

tio

n

ex

pre

ss

ion

to

fi n

d 7

÷ 1

_

4 .

7 ÷

1

_

4 =

7 ×

4 =

28

43

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Practice Test

43-44 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.M

D.A

.1

Convert like measurement units

within a given measurement system.

1.

Th

e lib

rary

is

5 m

iles

from

th

e p

ost

off

ice. H

ow

man

y ya

rds

is t

he lib

rary

fro

m t

he p

ost

off

ice?

yard

s

2.

Bill

y m

ad

e 3

gallo

ns

of

juic

e f

or

a p

icn

ic. H

e s

aid

th

at

he m

ad

e

3

_

4 q

uart

of

juic

e. Exp

lain

Bill

y’s

mis

take.

Po

ss

ible

ex

pla

na

tio

n:

Bil

ly d

ivid

ed

th

e n

um

be

r o

f g

all

on

s b

y

4 t

o c

on

ve

rt t

o q

ua

rts

. H

e s

ho

uld

have

mu

ltip

lie

d t

he

nu

mb

er

of

ga

llo

ns

by

4 t

o fi

nd

th

e n

um

be

r o

f q

ua

rts

in

3 g

all

on

s.

3 ×

4 =

12

qu

art

s

3.

Th

e D

ram

a C

lub

is

show

ing

a v

ideo o

f its

recen

t p

lay.

Th

e f

irst

show

ing

beg

ins

at

2:3

0 P

.M. Th

e s

econ

d s

how

ing

is

sch

ed

ule

d a

t

5:2

5 P

.M. w

ith

a 1

_

2 -h

ou

r b

reak b

etw

een

th

e s

how

ing

s.

Pa

rt

A

How

lon

g is

the v

ideo in

hou

rs a

nd

min

ute

s?

hou

rs a

nd

m

inu

tes

Pa

rt

B

Exp

lain

how

you

can

use

a n

um

ber

line t

o f

ind

th

e a

nsw

er.

Po

ss

ible

ex

pla

na

tio

n:

I c

an

wo

rk b

ack

wa

rd f

rom

th

e s

tart

tim

e o

f th

e s

ec

on

d s

ho

win

g a

t 5

:25

. I

co

un

t b

ack

1

_

2 h

ou

r,

wh

ich

is

30

min

ute

s, fo

r th

e b

rea

k b

etw

ee

n s

ho

win

gs

to

4:5

5.

Th

en

, I

ca

n fi

nd

th

e e

lap

se

d t

ime

be

twe

en

2:3

0 a

nd

4:5

5.

Pa

rt

C

Th

e s

econ

d s

how

ing

sta

rted

20

min

ute

s la

te. W

ill t

he s

econ

d

show

ing

be o

ver

by

7:4

5 P

.M.?

Exp

lain

wh

y yo

ur

an

swer

is r

easo

nab

le.

No

. P

os

sib

le e

xp

lan

ati

on

: Th

e s

ec

on

d s

ho

win

g s

tart

ed

at

5:4

5 P.M

. Th

e m

ov

ie l

as

ts 2

ho

urs

25

min

ute

s, s

o i

t e

nd

s a

t

8:1

0 P.M

., w

hic

h i

s l

ate

r th

an

7:4

5 P.M.

8,8

00

22

5

45

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Practice Test

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Name

Practice Test

4.

Fre

d b

ou

gh

t 4

liters

of

liqu

id lau

nd

ry d

ete

rgen

t, 3

,25

0 m

illili

ters

of

fab

ric s

oft

en

er, a

nd

2.5

liters

of

ble

ach

. W

hic

h s

tate

men

ts a

re

tru

e?

Mark

all

that

ap

ply

.

A

Fre

d b

ou

gh

t 7

5 m

illili

ters

more

fab

ric s

oft

en

er

than

ble

ach

.

B

Fre

d b

ou

gh

t 1

.75

liters

more

lau

nd

ry d

ete

rgen

t th

an

ble

ach

.

C

Fre

d b

ou

gh

t 7

50

mill

ilite

rs m

ore

fab

ric s

oft

en

er

than

ble

ach

.

D

Fre

d b

ou

gh

t 1

50

mill

ilite

rs m

ore

lau

nd

ry d

ete

rgen

t th

an

ble

ach

.

E

Fre

d b

ou

gh

t 0

.75

liters

more

lau

nd

ry d

ete

rgen

t th

an

fab

ric

soft

en

er.

5.

A m

ale

hip

pop

ota

mu

s can

weig

h u

p t

o 1

0,0

00

pou

nd

s. H

ow

man

y to

ns

is 1

0,0

00

pou

nd

s?

ton

s

6.

Am

ar

an

d h

is f

rien

ds

wen

t to

a m

ovi

e a

t 4

:45

P.M

. Th

e m

ovi

e

en

ded

at

6:2

0 P

.M.

Pa

rt

A

How

lon

g w

as

the m

ovi

e?

hou

r(s)

an

d

min

ute

s

Pa

rt

B

Am

ar

got

hom

e 4

5 m

inu

tes

aft

er

the m

ovi

e e

nd

ed

. W

hat

tim

e

did

Am

ar

get

hom

e?

Exp

lain

how

you

fou

nd

you

r an

swer.

7:0

5 P.M

.; P

os

sib

le e

xp

lan

ati

on

: I

ne

ed

to

fin

d 4

5

min

ute

s a

fte

r 6

:20

P.M

. 6

:20

to

7:0

0 i

s 4

0 m

inu

tes

, s

o

5 m

inu

tes

mo

re i

s 7

:05

.

5

13

5

46

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ifflin Harcourt Publishing Company

Practice Test

45-46 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

4.

Th

e lin

e p

lot

show

s th

e w

eig

hts

of

ston

es

fou

nd

in

a s

tream

.

Wh

at

is t

he a

vera

ge w

eig

ht

of

the s

ton

es?

Sh

ow

you

r w

ork

.

5

__

11 p

ou

nd

;

1

_

6 ×

2 =

2

_

6 o

r 1

_

3 ;

1

_

3 ×

4 =

4

_

3 o

r 1 1

_

3 ;

1

_

2 ;

2

_

3 ×

3

= 6

_

3 o

r 2; 5

_

6

1

_

3 +

1 1

_

3 +

1

_

2 +

2 +

5

_

6 =

5

5 ÷

11 =

5

__

11

5.

Mik

a r

ecord

s th

e n

um

ber

of

mile

s sh

e w

alk

s each

day.

Pa

rt

A

Gra

ph

Mik

a’s

resu

lts

on

th

e lin

e p

lot.

Dis

tan

ce (

miles)

Days

1 1

_

2

1 5

_

8

1 3

_

4

2 2 1

_

8

2 1

_

4

Pa

rt

B

How

man

y d

ays

did

sh

e w

alk

an

d w

hat

was

her

tota

l

dis

tan

ce?

Exp

lain

you

r th

inkin

g.

16

days

fo

r a

to

tal

of

30

mil

es

; P

os

sib

le e

xp

lan

ati

on

:

I m

ult

ipli

ed

ea

ch

dis

tan

ce

by

th

e n

um

be

r o

f d

ots

ab

ove

th

e d

ista

nc

e i

n t

he

lin

e p

lot,

an

d t

he

n I

ad

de

d

the

pro

du

cts

.

Weights of Stones (in lb)

✗✗✗✗

✗✗✗✗

✗✗✗

1 6

1 3

1 2

5 6

2 3

Miles Walked Each Day

1 21

5 81

3 41

7 81

1 82

21 42

77777

777777

777

77

48

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Practice Test

GO O

N

Weights of Bags of Beans (in lb)

1 6

1 3

1 2

2 3

5 6

777777

777

777

Name

Practice Test

5.M

D.B

.2

Represent and interpret data.

1.

A b

uild

er

is b

uyi

ng

pro

pert

y to

bu

ild n

ew

hou

ses.

Th

e s

izes

of

the lots

are

1

_

6 , 1

_

2 , 1

_

3 , 1

_

2 , 1

_

6 ,

1

_

2 , 1

_

2 , 1

_

3 , 1

_

6 , 1

_

2 , 1

_

6 , 1

_

2 , 1

_

6 , 1

_

6 , an

d 1

_

3 a

cre

. O

rgan

ize

the in

form

ation

in

a lin

e p

lot.

Wh

at

is t

he a

vera

ge s

ize o

f th

e lots

?

acre

2.

Th

e lin

e p

lot

show

s th

e w

eig

hts

of

bag

s of

bean

s. W

hat

is t

he a

vera

ge w

eig

ht

of

the b

ag

s? S

how

you

r w

ork

.

1

_

2 pound;

1

_

6 ×

2 =

2

_

6 or 1

_

3 ; 1

_

3 ×

2 =

2

_

3 ; 1

_

2 ×

3 =

3

_

2 or 1 1

_

2

2

_

3 ×

4 =

8

_

3 or 2 2

_

3 ; 5

_

6

1

_

3 +

2

_

3 +

1 1

_

2 +

2 2

_

3 +

5

_

6 =

6

6 ÷

12 =

1

_

2

3.

Am

y fille

d b

ag

s w

ith

mix

ed

nu

ts. Th

e

weig

hts

of

the b

ag

s are

1

_

8 -l

b, 1

_

4 -l

b, 1

_

8 -l

b,

1

_

2 -l

b, 1

_

8 -l

b, 1

_

4 -l

b, 1

_

8 -l

b, 1

_

2 -l

b, 1

_

8 -l

b, 1

_

4 -l

b,

1

_

8 -l

b, 1

_

2 -l

b, 1

_

8 -l

b, 1

_

8 -l

b, 1

_

4 -l

b, an

d 1

_

2 -l

b.

Org

an

ize t

he in

form

ation

in

a lin

e p

lot.

Wh

at

is t

he a

vera

ge w

eig

ht

of

the b

ag

s?

pou

nd

(s)

1

_

3

1

_

4

House Lots (in acres)

777

777777

777777

1 6

1 3

1 2

Bags of Nuts (in lb)

✗✗✗✗

✗✗✗✗✗✗✗✗

✗✗✗✗

1 8

1 4

1 2

3 8

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47-48 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

• • •

• ••

Practice Test

5.M

D.C

.3a

Geometric measurement: understand

concepts of volume and relate volume to

multiplication and to addition.

1.

Matc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld

be n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it

cu

bes

will

be u

sed

. •

8

un

it c

ub

es

9

un

it c

ub

es

10

un

it c

ub

es

11

un

it c

ub

es

12

un

it c

ub

es

16

un

it c

ub

es

2.

Matc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld b

e n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it c

ub

es

will

be u

sed

.

6

un

it c

ub

es

7

un

it c

ub

es

8

un

it c

ub

es

9

un

it c

ub

es

10

un

it c

ub

es

12

un

it c

ub

es

3.

Bakari

bu

ilds

a r

ecta

ng

ula

r p

rism

usi

ng

un

it c

ub

es.

Wh

at

is t

he v

olu

me o

f th

e p

rism

? E

xpla

in y

ou

r th

inkin

g.

32

cu

bic

un

its

; P

os

sib

le e

xp

lan

ati

on

: Th

ere

are

8 u

nit

cu

be

s o

n t

he

bo

tto

m l

aye

r. S

inc

e t

he

re a

re 4

laye

rs t

ha

t

ea

ch

have

8 u

nit

cu

be

s, I

mu

ltip

lie

d 4

by

8 t

o g

et

32

.

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Practice Test

• • •• • •

4.

Matc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld b

e n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it c

ub

es

will

be u

sed

.

5.

Joo-C

han

bu

ilds

a r

ecta

ng

ula

r p

rism

usi

ng

un

it c

ub

es.

Wh

at

is t

he v

olu

me o

f th

e p

rism

? E

xpla

in y

ou

r th

inkin

g.

40

cu

bic

un

its

; P

os

sib

le e

xp

lan

ati

on

: Th

ere

are

8 u

nit

cu

be

s o

n t

he

bo

tto

m l

aye

r. S

inc

e t

he

re a

re 5

laye

rs

ea

ch

wit

h 8

un

it c

ub

es

, I

mu

ltip

lie

d 5

by

8 t

o g

et

40

.

6.

Matc

h t

he f

igu

re w

ith

th

e n

um

ber

of

un

it c

ub

es

that

wou

ld b

e n

eed

ed

to b

uild

each

fig

ure

. N

ot

eve

ry n

um

ber

of

un

it c

ub

es

will

be u

sed

.

• 7

un

it c

ub

es

• 8

un

it c

ub

es

• 9

un

it c

ub

es

• 1

0 u

nit c

ub

es

• 1

2 u

nit c

ub

es

• 1

5 u

nit c

ub

es

• 8

un

it c

ub

es

• 9

un

it c

ub

es

• 1

0 u

nit c

ub

es

• 1

1 u

nit c

ub

es

• 1

2 u

nit c

ub

es

• 1

6 u

nit c

ub

es

50

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Practice Test

49-50 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

4.

A s

hip

pin

g c

on

tain

er

hold

s 4

0 t

issu

e b

oxe

s. T

he d

imen

sion

s

of

a t

issu

e b

ox

are

4 in

ch

es

by

6 in

ch

es

by

3 in

ch

es.

Wh

ich

sta

tem

en

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

Each

tis

sue b

ox

has

a v

olu

me o

f 7

2 c

ub

ic in

ch

es.

B

Each

con

tain

er

has

a v

olu

me o

f ab

ou

t 1

,44

0 c

ub

ic in

ch

es.

C

If a

con

tain

er

cou

ld h

old

48

tis

sue b

oxe

s, t

he v

olu

me

of

the c

on

tain

er

wou

ld b

e a

bou

t 6

24

cu

bic

in

ch

es.

D

If a

con

tain

er

has

a v

olu

me o

f 3

,00

0 c

ub

ic in

ch

es,

41

tis

sue b

oxe

s w

ill f

it in

th

e c

on

tain

er.

5.

A s

hip

pin

g c

on

tain

er

hold

s 4

0 g

ift

boxe

s. T

he d

imen

sion

s of

a

gift

box

are

4 in

ch

es

by

5 in

ch

es

by

2 in

ch

es.

For

nu

mb

ers

5a–5

c, ch

oose

th

e n

um

ber

that

makes

the s

tate

men

t tr

ue.

5a.

Each

gift

box

has

a v

olu

me o

f

20

40

60

cu

bic

in

ch

es.

5b

. Each

con

tain

er

has

a v

olu

me o

f ab

ou

t

80

1,2

00

1,6

00

cu

bic

in

ch

es.

5c.

If a

con

tain

er

cou

ld h

old

50

tis

sue b

oxe

s, t

he v

olu

me o

f th

e

con

tain

er

would

be a

bou

t

1,0

00

2,0

00

3,0

00

cu

bic

in

ch

es.

6.

Mir

an

da h

as

cu

bes

that

measu

re 4

in

ch

es

on

each

sid

e.

Wh

ich

sta

tem

en

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

The v

olu

me o

f one c

ube is

48

cubic

inches.

B

If M

iranda f

ills

a b

ox

with 1

2 c

ubes,

the v

olu

me

of

the b

ox

is a

bout

76

8 c

ubic

inches.

C

If t

he v

olu

me o

f th

e b

ox

is 8

00

cubic

inches,

Mir

anda c

an f

it 1

4 c

ubes

in t

he b

ox.

D

If t

he v

olu

me o

f th

e b

ox

is 1

,00

0 c

ubes,

Mir

anda c

an f

it 1

5 c

ubes

in t

he b

ox.

52

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Practice Test

5.M

D.C

.3b

Geometric measurement: understand

concepts of volume and relate volume to

multiplication and to addition.

1.

A s

hip

pin

g c

rate

hold

s 2

0 s

hoeb

oxe

s. T

he d

imen

sions

of

a

shoeb

ox

are

6 in

ch

es

by

4 in

ch

es

by

12

in

ch

es.

For

nu

mb

ers

1a–1

c, w

rite

th

e n

um

ber

that

makes

the s

en

ten

ce t

rue.

1a.

Each

sh

oeb

ox

has

a v

olu

me o

f 288

cu

bic

in

ch

es.

1b

. Each

cra

te h

as

a v

olu

me o

f ab

ou

t 5,760

cu

bic

in

ch

es.

1c.

If t

he c

rate

cou

ld h

old

27

sh

oeb

oxe

s, t

he v

olu

me

of

the c

rate

wou

ld b

e a

bou

t 7,776

cu

bic

in

ch

es.

2.

A p

ack o

f fo

lders

has

a len

gth

of

5 in

ch

es,

a w

idth

of

12

in

ch

es,

an

d a

heig

ht

of

1 in

ch

. Th

e p

ack o

f fo

lders

will

be s

hip

ped

in

a

box

that

hold

s 1

2 p

acks

of

fold

ers

. W

hic

h s

tate

men

ts a

re t

rue?

Mark

all

that

ap

ply

.

A

Each

pack o

f fo

lders

has

a v

olu

me o

f 6

0 c

ub

ic in

ch

es.

B

Th

e b

ox

has

a v

olu

me o

f ab

ou

t 7

20

cu

bic

in

ch

es.

C

If t

he b

ox

held

15

packs

of

fold

ers

, it w

ou

ld h

ave

a

volu

me o

f ab

ou

t 1

,20

0 c

ub

ic in

ch

es.

D

If t

he b

ox

held

20

packs

of

fold

ers

, it w

ou

ld h

ave

a v

olu

me

of

ab

ou

t 1

,20

0 c

ub

ic in

ch

es.

3.

A s

hip

pin

g c

rate

hold

s 1

8 b

ooks.

Th

e d

imen

sion

s of

each

book a

re

2 in

ch

es

by

8 in

ch

es

by

10

in

ch

es.

For

nu

mb

ers

3a–3

b, ch

oose

th

e

nu

mb

er

that

makes

the s

tate

men

t tr

ue.

3a.

Each

book h

as

a v

olu

me o

f

20

80

16

0

cu

bic

in

ches.

3b

. Each

cra

te h

as

a v

olu

me o

f ab

ou

t

16

0

2,8

80

3,2

20

cub

ic in

ch

es.

51

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Practice Test

51-52 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

GO O

N

Name

Practice Test

5.M

D.C

.4

Geometric measurement: understand

concepts of volume and relate volume to

multiplication and to addition.

1.

Vic

tori

a u

sed

1-i

nch

cu

bes

to b

uild

th

e r

ecta

ng

ula

r

pri

sm s

how

n. Fin

d t

he v

olu

me o

f th

e r

ecta

ng

ula

r

pri

sm V

icto

ria b

uilt

.

cu

bic

in

ch

es

2.

Carl

ton

use

d 1

-cen

tim

ete

r cu

bes

to b

uild

th

e r

ecta

ngu

lar

pri

sm s

how

n.

Fin

d t

he v

olu

me o

f th

e r

ecta

ng

ula

r p

rism

Carl

ton

bu

ilt.

cu

bic

in

ch

es

3.

Rya

n b

uilt

a r

ecta

ng

ula

r p

rism

ou

t of

cu

bes.

Pa

rt

A

Fin

d t

he v

olu

me o

f th

e p

rism

.

5 ×

2 ×

2 =

20 cubic units

Pa

rt

B

Rya

n a

dd

ed

4 c

ub

es

to h

is p

rism

. C

alc

ula

te t

he v

olu

me.

How

has

the v

olu

me c

han

ged

?

20 +

4 =

24 cubic units; Possible explanation: The

volume increased by 4.

4 in

.

3 in

.

6 in

.

4 c

m

3 c

m5 c

m

72

60

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Practice Test

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Name

Practice Test

4.

Wen

dy

use

d 1

-cen

tim

ete

r cu

bes

to b

uild

th

e

recta

ng

ula

r p

rism

show

n. Fin

d t

he v

olu

me o

f

the r

ecta

ng

ula

r p

rism

Wen

dy

bu

ilt. cu

bic

cen

tim

ete

rs

5.

Carm

en

use

d 1

-in

ch c

ub

es

to b

uild

th

e r

ecta

ng

ula

r

pri

sm s

how

n. Fin

d t

he v

olu

me o

f th

e r

ecta

ng

ula

r

pri

sm C

arm

en

bu

ilt.

cu

bic

in

ch

es

6.

Julio

bu

ilt a

recta

ngu

lar

pri

sm o

ut

of

cu

bes.

Pa

rt

A

Fin

d t

he v

olu

me o

f th

e p

rism

.

3 ×

3 ×

2 =

18

cu

bic

un

its

Pa

rt

B

Julio

ad

ded

6 c

ub

es

to h

is p

rism

. C

alc

ula

te t

he v

olu

me.

How

has

the v

olu

me c

han

ged

?

18

+ 6

= 2

4 c

ub

ic u

nit

s;

Po

ss

ible

ex

pla

na

tio

n: T

he

vo

lum

e i

nc

rea

se

d b

y 6

.

4 c

m

5 c

m

4 c

m 2 in

.

3 in

.

4 in

.

80

24

54

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Practice Test

53-54 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

Practice Test

4.

Jess

ica p

acked

1-i

nch

cu

bes

into

a b

ox

with

a v

olu

me o

f

14

4 c

ub

ic in

ch

es.

How

man

y la

yers

of

1-i

nch

cu

bes

did

Jess

ica p

ack?

laye

rs

5.

Don

ald

use

d 1

-in

ch c

ub

es

to m

ake t

he r

ecta

ng

ula

r p

rism

show

n. For

nu

mb

ers

5a–5

d, w

rite

th

e v

alu

e t

hat

makes

each

sta

tem

en

t tr

ue. Each

valu

e c

an

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

1

53

61

43

09

01

20

5

a.

Each

cu

be h

as

a v

olu

me o

f c

ub

ic in

ch

(es)

.

5

b.

Each

laye

r of

the p

rism

is

mad

e u

p o

f c

ub

es.

5

c.

Th

ere

are

laye

rs o

f cu

bes.

5

d.

Th

e v

olu

me o

f th

e p

rism

is

cu

bic

in

ch

es.

6.

Man

uel st

ore

s h

is f

avo

rite

CD

s in

a b

ox

like t

he o

ne s

how

n.

U

se t

he n

um

bers

and

sym

bols

on

th

e t

iles

to w

rite

a f

orm

ula

that

rep

rese

nts

th

e v

olu

me o

f th

e b

ox.

Sym

bols

may

be u

sed

more

th

an

on

ce o

r not

at

all.

V

10

71

5=

−÷

W

hat

is t

he v

olu

me o

f th

e b

ox?

c

ub

ic c

en

tim

ete

rs

15 cm

10 cm

7 cm

6 in.

3 in.

5 in.

4

1

30

3

90

1,050

V =

15 ×

10 ×

7

56

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Practice Test

5.M

D.C

.5a

Geometric measurement: understand

concepts of volume and relate volume to

multiplication and to addition.

1.

Mark

packed

1-i

nch

cu

bes

into

a b

ox

with

a v

olu

me o

f

12

0 c

ub

ic inch

es.

How

man

y la

yers

of

1-i

nch

cu

bes

did

Mark

pack?

laye

rs

2.

Mon

ica u

sed

1-i

nch

cu

bes

to m

ake t

he r

ecta

ng

ula

r p

rism

show

n. For

nu

mb

ers

2a–2

d, w

rite

th

e v

alu

e f

rom

th

e t

iles

that

makes

each

sta

tem

en

t tr

ue. Each

valu

e c

an

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

1

43

51

21

52

06

0

2

a.

Each

cu

be h

as

a v

olu

me o

f c

ub

ic in

ch(e

s).

2

b.

Each

laye

r of

the p

rism

is

mad

e u

p o

f c

ub

es.

2

c.

Th

ere

are

laye

rs o

f cu

bes.

2

d.

Th

e v

olu

me o

f th

e p

rism

is

cu

bic

in

ches.

3.

Joh

n u

sed

1-i

nch

cu

bes

to m

ake t

he r

ecta

ng

ula

r p

rism

sh

ow

n.

For

nu

mb

ers

3a–3

d, w

rite

th

e v

alu

e t

hat

makes

each s

tate

men

t

corr

ect. E

ach

valu

e c

an

be u

sed

more

th

an

on

ce o

r not

at

all.

1

53

71

23

51

25

17

5

3

a.

Each

cu

be h

as

a v

olu

me o

f 1

cu

bic

in

ch

(es)

.

3

b.

Each

laye

r of

the p

rism

is

mad

e u

p o

f 35

cub

es.

3

c.

Th

ere

are

5

laye

rs o

f cu

bes.

3

d.

Th

e v

olu

me o

f th

e p

rism

is

175

cu

bic

in

ch

es.

5 in.

3 in.

4 in.

5 in.

7 in.

5 in.

5

1

20

3

60

55

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Practice Test

55-56 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

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N

Name

Practice Test

5.M

D.C

.5b

Geometric measurement: understand

concepts of volume and relate volume to

multiplication and to addition.

1.

Jose

sto

res

his

base

ball

card

s in

a b

ox

like t

he o

ne s

how

n.

8 in.

10 in.3 in.

Use

th

e n

um

bers

an

d s

ymb

ols

on

th

e t

iles

to w

rite

a f

orm

ula

th

at

rep

rese

nts

the v

olu

me o

f th

e b

ox.

Sym

bols

may

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

V3

81

0=

–÷

Wh

at

is t

he v

olu

me o

f th

e b

ox?

c

ub

ic in

ch

es

2.

Meg

an

’s a

qu

ari

um

has

a v

olu

me o

f 4

,32

0 c

ub

ic in

ch

es.

Wh

ich

cou

ld b

e t

he d

imen

sion

s of

the a

qu

ari

um

?

Mark

all

that

ap

ply

.

A

16

in

. b

y 1

6 in

. b

y 1

8 in

.

C

1

2 in

. b

y 1

5 in

. b

y 2

4 in

.

B 1

4 in

. b

y 1

8 in

. b

y 2

0 in

.

D

8

in

. b

y 2

0 in. b

y 2

7 in

.

3.

Ken

keep

s p

ap

er

clip

s in

a b

ox

that

is t

he s

hap

e o

f a c

ub

e.

Each

sid

e o

f th

e c

ub

e is

3 in

ch

es.

Wh

at

is t

he v

olu

me o

f th

e b

ox?

cu

bic

in

ch

es

4.

Tom

keep

s st

icky

note

s in

a b

ox

that

is t

he s

hap

e o

f a c

ub

e.

Th

e b

ox

has

a b

ase

of

16

sq

uare

in

ch

es

an

d a

heig

ht

of

4 in

ch

es.

Wh

at

is t

he v

olu

me o

f th

e b

ox?

cu

bic

in

ch

es

27

64

V =

8 ×

10 ×

3

240

57

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Practice Test

5.

Dakota

’s w

ad

ing

pool h

as

a v

olu

me o

f 8

,64

0 c

ub

ic in

ch

es.

If h

er

pool is

a r

ecta

ng

ula

r p

rism

, w

hic

h c

ou

ld b

e t

he d

imen

sion

s

of

the w

ad

ing

pool?

Mark

all

that

ap

ply

.

A

Base

: 3

60

square

inches;

Heig

ht: 2

4 inches

B

Base

: 3

20

square

inches;

Heig

ht: 2

7 inches

C

Base

: 4

03

square

inches;

Heig

ht: 2

8 inches

D

Base

: 6

29

square

inches;

Heig

ht: 3

0 inches

6.

Eri

n s

tore

s h

er

ph

oto

s in

boxe

s lik

e t

he o

ne s

how

n.

4 in.

9 in.

10 in.

Use

th

e n

um

bers

and

sym

bols

on

th

e t

iles

to w

rite

a f

orm

ula

th

at

rep

rese

nts

th

e v

olu

me

of

on

e b

ox.

Sym

bols

may

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

V4

91

0=

–÷

Wh

at

is t

he c

om

bin

ed

volu

me o

f tw

o b

oxe

s?

cu

bic

in

ch

es

7.

A s

hip

pin

g c

on

tain

er

has

a v

olu

me o

f 2

,88

0 c

ub

ic in

ch

es.

Wh

ich

cou

ld b

e t

he d

imen

sion

s of

the c

on

tain

er?

Mark

all

that

ap

ply

.

A 1

0 in

. b

y 1

2 in

. by

24

in

. C

1

2 in

. b

y 1

5 in

. b

y 1

8 in

.

B 1

2 in

. b

y 1

2 in

. by

20

in

.

D 1

0 in

. b

y 1

6 in

. b

y 2

0 in

.

720

V =

10 ×

9 ×

4

58

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57-58 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

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Name

Practice Test

4.

Dia

ne p

laces

2 d

raw

ers

with

th

e s

am

e w

idth

an

d h

eig

ht

on

top

of

each

oth

er. W

hat

is t

he c

om

bin

ed

volu

me o

f th

e 2

dra

wers

?

6 in.

6 in.

8 in.

24 in.

15 in.

12 in.

cu

bic

in

ch

es

5.

Tom

as

makes

a lett

er

T u

sin

g 2

foam

blo

cks.

Wh

at

is t

he

volu

me o

f th

e s

hap

e T

om

as

makes?

4 cm

4 cm

6 cm

5 cm

9 cm

Volu

me =

c

ub

ic c

en

tim

ete

rs

6.

Th

e s

tag

e a

t a s

tad

ium

is

bu

ilt t

o h

ave

a s

econ

d leve

l fo

r a

dru

m s

et. H

arv

ey

wan

ts t

o f

ind

th

e c

om

bin

ed

volu

me o

f th

e

2 r

ecta

ng

ula

r p

rism

s th

at

make u

p t

he s

tag

e. Fir

st w

rite

th

e

len

gth

s of

the 2

mis

sin

g d

imen

sion

s. T

hen

use

a f

orm

ula

an

d c

alc

ula

te t

he v

olu

me o

f th

e s

tag

e.

12 m

28 m

10 m

3 m

8 m

12 m

7 m

3,600

276

2,640 cubic m

eters; Possible equation: V =

8 ∙

12 ∙

10 +

20 ∙

12 ∙

7

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5.M

D.C

.5c

Geometric measurement: understand

concepts of volume and relate volume to

multiplication and to addition.

1.

Jaso

n b

uild

s st

ep

s u

sin

g 2

pie

ces

of

wood

with

th

e s

am

e

heig

ht

an

d w

idth

bu

t d

iffe

ren

t le

ng

ths.

Wh

at

is t

he v

olu

me

of

the s

tep

s h

e b

uild

s?

2 ft

3 ft

2 ft

1 ft

1 ft

4 ft

cu

bic

feet

2.

Fab

io g

lues

2 r

ecta

ng

ula

r b

locks

tog

eth

er

to m

ake a

mod

el

ch

air

for

a d

oll

hou

se. W

hat

is t

he v

olu

me o

f th

e m

odel?

6 cm

10 cm

4 cm

7 cm

4 cm

6 cm

3 cm

V

olu

me =

c

ub

ic c

en

tim

ete

rs

3.

Am

elia

sta

cks

a m

ovi

ng

box

on

top

of

a larg

er

box.

Both

boxe

s

have

th

e s

am

e w

idth

. W

hat

is t

he c

om

bin

ed

volu

me o

f th

e b

oxe

s?

10 ft

7 ft

5 ft

5 ft

6 ft

3 ft

3 ft

V

olu

me =

c

ub

ic f

eet

18

312

476

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Practice Test

5.G

.A.1

Graph points on the coordinate plane

to solve real-world and mathematical

problems.

1.

Th

e lett

ers

on

th

e c

oord

inate

gri

d r

ep

rese

nt

the

location

s of

the f

irst

fou

r h

ole

s on

a g

olf c

ou

rse.

Wh

ich

of

the f

ollo

win

g a

ccu

rate

ly d

esc

rib

es

the

location

of

a h

ole

? M

ark

all

that

ap

ply

.

A

Hole

U is

4 u

nits

left

and 4

units

dow

n f

rom

hole

S.

B H

ole

F is

1 u

nit r

igh

t an

d 7

un

its

dow

n f

rom

hole

U.

C H

ole

T is

2 u

nits

left

an

d 4

un

its

up

fro

m h

ole

S.

D H

ole

S is

3 u

nits

left

an

d 5

un

its

up

fro

m h

ole

F.

2.

Lin

dse

y m

ad

e a

map

of

her

tow

n. M

atc

h

each

location

belo

w w

ith

th

e c

orr

ect

ord

ere

d p

air

th

at

mark

s it o

n t

he c

oord

inate

gri

d. N

ot

eve

ry o

rdere

d p

air

will

be u

sed

.

Clo

ck T

ow

er

(

4, 4

)

(4

, 1

)

Art

Mu

seu

m

(1

, 3

)

(5

, 4

)

East

Park

(4

, 5

)

(3

, 1

)

Movi

e T

heate

r

(2

, 4

)

(1

, 4

)

Sch

ool

(

4, 2

)

3.

Lu

cy’

s h

ou

se is

locate

d a

t th

e p

oin

t sh

ow

n o

n t

he

coord

inate

gri

d. A

insl

ey’

s h

ou

se is

locate

d 2

un

its

rig

ht

an

d 3

un

its

dow

n f

rom

Lu

cy’

s h

ou

se. P

lot

a

poin

t on

th

e c

oord

inate

gri

d t

o r

ep

rese

nt

the

location

of

Ain

sley’

s h

ou

se.

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e location

of

Lu

cy’

s h

ou

se?

(3, 5)

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e location

of

Ain

sley’

s h

ou

se?

(5, 2)

678 5 4 3 2 1 02

31

45

78

TU

S

F

6

Golf Course

1

12

34

56x

23456 0

West

Park

Clock

Tower

Library

Ten

nis

Court

Movie

Theater

Train

Station

Bicycle

Shop

East

Park

Barber

Shop

Art

Museum

Sch

ool

1211

1

102

39 8

4

57

6

Movie

Movie

Movie

y

1

12

03

45

2345Lucy's

House

Ainsley

’sHouse

y

x

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4.

Th

e m

ap

sh

ow

s th

e location

s of

att

raction

s at

an

am

use

men

t p

ark

. M

atc

h

each

location

belo

w w

ith

th

e c

orr

ect

ord

ere

d p

air

th

at

mark

s it o

n t

he m

ap

.

Not

eve

ry o

rdere

d p

air

will

be u

sed

.

Ferr

is W

heel

Sw

imm

ing

Pool

Rolle

r C

oast

er

Pett

ing

Zoo

Wate

r S

lide

5.

Lu

ke’s

hou

se is

locate

d a

t th

e p

oin

t sh

ow

n o

n t

he

coord

inate

gri

d. K

yle’s

hou

se is

locate

d 4

un

its

left

an

d 2

un

its

up

fro

m L

uke’s

hou

se. P

lot

a p

oin

t on

th

e

coord

inate

gri

d t

o r

ep

rese

nt

the location

of

Kyl

e’s

hou

se.

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e

location

of

Lu

ke’s

hou

se?

(5, 3)

Wh

at

ord

ere

d p

air

rep

rese

nts

th

e

location

of

Kyl

e’s

hou

se?

(1, 5)

6.

Th

e c

oord

inate

gri

d r

ep

rese

nts

th

e s

ch

ool p

layg

rou

nd

.

Wh

ich

of

the f

ollo

win

g a

ccu

rate

ly d

esc

rib

es

the location

of

a p

layg

rou

nd

are

a?

Mark

all

that

ap

ply

.

A Th

e s

lide is

2 u

nits

left

an

d 4

un

its

up

fro

m t

he s

occer

field

.

B Th

e b

ase

ball

field

is

1 u

nit left

an

d 3

un

its

dow

n f

rom

the s

lide.

C Th

e ju

ng

le g

ym is

4 u

nits

rig

ht

an

d 1

un

it d

ow

n f

rom

the b

ase

ball

field

.

D Th

e s

occer

field

is

3 u

nits

rig

ht

an

d 1

un

it u

p f

rom

th

e

base

ball

field

.

AMUSEMENT PARK

1

12

34

5x

2345y 0

Fer

ris

wh

eel

Ice

crea

mst

and

Pet

tin

gzo

o

Hau

nte

dh

ou

se

Swim

min

gp

oo

l

Wat

ersl

ide

Ro

ller

Co

ast

er

(0

, 4

)

(2

, 4

)

(4

, 3

)

(4

, 0

)

(4

, 2

)

(3

, 4

)

(1

, 2

)

1

12

03

45

x

2345y

Luke's

House

Kyle’s

House

678 5 4 3 2 1 023

1456

87

Playground

SlideSoccer Field

Baseball Field Jungle Gym

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Practice Test

3.

Ran

dy

is t

rain

ing

for

a r

ace. S

he m

akes

a t

ab

le t

hat

show

s h

ow

lon

g it

takes

her

to r

un

diffe

ren

t d

ista

nces.

Runnin

g T

ime a

nd D

ista

nce

Number of Miles

12

34

Tim

e (in m

inutes)

10

20

30

40

Pa

rt

A

Wri

te t

he n

um

ber

pair

s as

ord

ere

d p

air

s. T

hen

wri

te t

he r

ule

to

desc

rib

e h

ow

th

e n

um

ber

pair

s are

rela

ted

.

(1, 10), (2, 20), (3, 30), (4, 40); Rule: Multiply the number

of miles by 10.

Pa

rt

B

Gra

ph

th

e o

rdere

d p

air

s on

th

e c

oord

inate

pla

ne.

4.

A s

cie

ntist

mad

e a

lin

e g

rap

h t

hat

show

s h

ow

a b

ear’s

ave

rag

e

heart

rate

ch

an

ges

ove

r tim

e.

020406080

100

120

140

160

Heart Rate (beats/min.)

June

July

Aug.Sep

t.Oct.Nov.

Dec.Jan.

Change in Averag

e Heart Rate of Bears

Month

For

nu

mb

ers

4a–4

b, ch

oose

th

e w

ord

th

at

com

ple

tes

the

state

men

t.

4a.

Th

e b

ear’s

heart

rate

is

at

its

hig

hest

in

July

Octo

ber

Jan

uary

.

4b

. Th

e b

ear’s

heart

rate

incre

ase

s

decre

ase

s

stays

th

e s

am

e

fro

m J

uly

to A

ug

ust

.

6070 50 40 30 20 10 0

23

14

57

6

Number of Miles

Time (in minutes)

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5.G

.A.2

Graph points on the coordinate plane

to solve real-world and mathematical

problems.

1.

For

6 d

ays

in

a r

ow

, Ju

lia m

easu

red

th

e d

ep

th o

f th

e s

now

in a

sh

ad

ed

are

a o

f h

er

backya

rd. Th

e lin

e g

rap

h s

how

s

her

data

. B

etw

een

wh

ich

tw

o d

ays

did

th

e d

ep

th o

f th

e

snow

decre

ase

th

e m

ost

?

12 10 8 6 4 2 0

23

14

65

Day

Depth (in inches)

Snow Depth

betw

een

Day

5 a

nd

Day

6

2.

Th

e t

ab

le s

how

s h

ow

mu

ch

a p

up

py

weig

hs

from

th

e a

ge o

f

1 m

on

th o

ld t

o t

he a

ge o

f 5

mon

ths

old

.

Puppy’s W

eig

ht

Ag

e (

in m

on

ths)

12

34

5

Weig

ht

(in

po

un

ds)

12

18

23

31

34

Wh

at

ord

ere

d p

air

s w

ou

ld y

ou

plo

t to

sh

ow

th

e p

up

py’

s w

eig

ht

on

a c

oord

inate

gri

d?

How

do y

ou

th

ink t

he o

rdere

d p

air

s w

ou

ld b

e

diffe

ren

t if t

he p

up

py’

s w

eig

ht

was

measu

red

eve

ry w

eek in

stead

of

eve

ry m

on

th?

Exp

lain

you

r re

aso

nin

g.

(1, 12

), (

2, 18

), (

3, 2

3),

(4

, 3

1),

(5

, 3

4);

Po

ss

ible

an

sw

er:

Th

ere

wo

uld

be

ma

ny

mo

re o

rde

red

pa

irs

sin

ce

th

ere

wo

uld

be

seve

ral

we

igh

t m

ea

su

rem

en

ts p

er

mo

nth

.

Als

o, th

e p

up

py

’s w

eig

ht

wo

uld

no

t in

cre

as

e a

s f

as

t

sin

ce

it

wo

uld

no

t g

ain

as

mu

ch

we

igh

t in

a w

ee

k a

s i

t

do

es

in

a m

on

th.

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Practice Test

5.G

.B.3

Classify two-dimensional figures into

categories based on their properties.

1.

Mr. D

elg

ad

o s

ees

this

sig

n w

hile h

e is

dri

vin

g. For

nu

mb

ers

1a–1

b, ch

oose

th

e v

alu

es

an

d t

erm

th

at

corr

ectly

desc

rib

e t

he s

hap

e M

r. D

elg

ad

o s

aw

.

1a.

Th

e f

igure

has

3 4 5

sid

es

an

d

0 2 3

vert

ices.

1b

. A

ll o

f th

e s

ides

are

con

gru

en

t, s

o t

he f

igu

re is

not

a p

oly

gon

a r

eg

ula

r p

oly

gon

not

a r

eg

ula

r p

oly

gon

.

2.

Javi

er

dre

w t

he s

hap

e s

how

n. For

nu

mb

ers

2a–2

b,

ch

oose

th

e v

alu

es

an

d t

erm

th

at

corr

ectly

desc

rib

e

the s

hap

e J

avi

er

dre

w.

2a.

Th

e f

igure

has

6 7 8

sid

es

an

d

6 8 12

an

gle

s.

2b

. Th

e f

igu

re is

a

reg

ula

r octa

gon

reg

ula

r h

ep

tag

on

reg

ula

r q

uad

rila

tera

l

.

3.

For

nu

mb

ers

3a–3

c, w

rite

th

e n

am

e o

f on

e q

uad

rila

tera

l

from

th

e t

iles

to c

om

ple

te a

tru

e s

tate

men

t. U

se e

ach

qu

ad

rila

tera

l on

ly o

nce.

3a.

A

rectangle

is

alw

ays

a p

ara

llelo

gra

m.

3b

. A

square

is

alw

ays

a r

hom

bu

s.

3c.

A

trapezoid

is

som

etim

es

a p

ara

llelo

gra

m.

squ

are

trap

ezo

id

recta

ng

le

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Practice Test

4.

Mari

o is

makin

g a

dia

gra

m t

hat

show

s th

e r

ela

tion

ship

betw

een

diffe

ren

t kin

ds

of

qu

ad

rila

tera

ls. In

th

e d

iag

ram

,

each

qu

ad

rila

tera

l on

a low

er

leve

l can

als

o b

e d

esc

rib

ed

by

the q

uad

rila

tera

l(s)

ab

ove

it

on

hig

her

leve

ls.

Pa

rt

A

Com

ple

te t

he d

iag

ram

by

wri

tin

g t

he n

am

e o

f on

e f

igu

re f

rom

the t

iles

in e

ach

box.

Not

eve

ry f

igu

re w

ill b

e u

sed

.

qu

ad

rila

tera

l

trapezoid

parallelogram

rhombus

squ

are

trap

ezo

id

tria

ng

le

rhom

bu

s

para

llelo

gra

m

Pa

rt

B

Mari

o c

laim

s th

at

a r

hom

bu

s is

som

etim

es

a s

qu

are

, b

ut

a

squ

are

is

alw

ays

a r

hom

bu

s. Is

he c

orr

ect?

Exp

lain

you

r an

swer.

Ye

s;

Po

ss

ible

ex

pla

na

tio

n: A

sq

ua

re h

as

4 s

ide

s t

ha

t a

re c

on

gru

en

t a

nd

eq

ua

l. A

sq

ua

re w

ith

th

es

e f

ea

ture

s i

s a

lso

a r

ho

mb

us

. H

ow

eve

r, w

he

n a

rho

mb

us

do

es

no

t h

ave

90

de

gre

e a

ng

les

, it

is

no

t a

sq

ua

re.

5.

Kayl

a d

rew

th

e s

hap

e s

how

n. For

nu

mb

ers

5a–5

b, ch

oose

th

e

valu

es

an

d t

erm

th

at

corr

ectly

desc

rib

e t

he s

hap

e K

ayl

a d

rew

.

5a.

Th

e f

igu

re h

as

4 6 12

sid

es

an

d

4 6 8

an

gle

s.

5b

. Th

e f

igu

re is

a

reg

ula

r h

ep

tag

on

reg

ula

r p

en

tag

on

reg

ula

r h

exa

gon

.

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Practice Test

4.

Kri

stin

dre

w a

tri

an

gle

with

2 c

on

gru

en

t si

des

an

d 1

ob

tuse

an

gle

. W

hic

h t

erm

accu

rate

ly d

esc

rib

es

the t

rian

gle

? M

ark

all

that

ap

ply

.

A

isosc

ele

s

C acu

te

B sc

ale

ne

D ob

tuse

5.

Nata

lie d

rew

an

acute

, is

osc

ele

s tr

ian

gle

. W

hic

h f

igu

re c

ou

ld b

e

Nata

lie's

tri

an

gle

?

A

B

C

6.

Wh

ich

nam

es

ap

ply

to t

he p

oly

gon

? M

ark

all

that

ap

ply

.

A

qu

ad

rila

tera

l

B

recta

ng

le

C

squ

are

D

para

llelo

gra

m

E

rhom

bu

s

F

trap

ezo

id

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5.G

.B.4

Classify two-dimensional figures into

categories based on their properties.

1.

Fra

n d

rew

a t

rian

gle

with

no c

on

gru

en

t si

des

an

d

1 r

igh

t an

gle

. W

hic

h t

erm

accu

rate

ly d

esc

rib

es

the

tri

an

gle

? M

ark

all

that

ap

ply

.

A

isosc

ele

s

C acu

te

B sc

ale

ne

D ri

gh

t

2.

Nath

an

dre

w a

desi

gn

with

scale

ne, ob

tuse

tri

an

gle

s. W

hic

h f

igu

res

cou

ld b

e t

he t

rian

gle

s N

ath

an

dre

w?

Mark

all

that

app

ly.

A

B

C

3.

Kelly

dre

w a

tri

an

gle

with

exa

ctly

2 c

on

gru

en

t si

des

an

d

3 a

cu

te a

ng

les.

Wh

ich

of

the f

ollo

win

g a

ccu

rate

ly d

esc

rib

es

the t

rian

gle

? M

ark

all

that

ap

ply

.

A

isosc

ele

s

C ob

tuse

B acu

te

D eq

uila

tera

l

67

Getting Ready for High-Stakes Assessments

© Houghton M

ifflin Harcourt Publishing Company

Practice Test

67-68 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company