Answer Key Getting Ready for High-Stakes Assessments

34
GO ON Name Practice Test 5.OA.A.1 Write and interpret numerical expressions. 1. Find the property that each equation shows. Write the equation in the correct box. Identity Property of Addition 0 + 16 = 16 Commutative Property of Multiplication 87 × 3 = 3 × 87 Identity Property of Multiplication 1 × 9 = 9 Associative Property of Multiplication 15 × (7 × 9) = (15 × 7) × 9 Commutative Property of Addition 23 + 4 + 109 = 4 + 23 + 109 Associative Property of Addition 13 + (3 + 7) = (13 + 3) + 7 2. For numbers 2a–2b, select the correct value for the expression. 2a. 55 (12 + 2), value: 39 41 43 2b. 25 + (14 4) ÷ 5, value: 7 27 37 3. Carmine buys 8 plates for $1 each. He also buys 4 bowls. Each bowl costs twice as much as each plate. The store is having a sale that gives Carmine $3 off the bowls. Which numerical expression shows how much he spent? A 8 + [(4 × 16) 3] C 8 + [(4 × 2) 3] B 8 + [4 × (16 + 3)] D 8 + [(4 × 2) + 3] 15 × (7 × 9) = (15 × 7) × 9 23 + 4 + 109 = 4 + 23 + 109 13 + (3 + 7) = (13 + 3) + 7 87 × 3 = 3 × 87 1 × 9 = 9 0 + 16 = 16 1 Getting Ready for High-Stakes Assessments © Houghton Mifflin Harcourt Publishing Company Practice Test STOP Name Practice Test 4. Valerie earns $24 per hour. Which expression can be used to show how much money she earns in 7 hours? A (7 + 20) + (7 + 4) B (7 × 20) + (7 × 4) C (7 + 20) × (7 + 4) D (7 × 20) × (7 × 4) 5. Evaluate the numerical expression. 2 + (65 + 7) × 3 = 218 6. Jackie followed these steps to evaluate the expression 15 (37 + 8) ÷ 3. 37 + 8 = 45 45 15 = 30 30 ÷ 3 = 10 Mark looks at Jackie’s work and says she made a mistake. He says she should have divided by 3 before she subtracted. Part A Which student is correct? Explain how you know. Mark; Possible answer: According to the order of operations, you should perform division before subtraction. Part B Evaluate the expression. 37 8 45 45 3 15 15 15 0 2 Getting Ready for High-Stakes Assessments © Houghton Mifflin Harcourt Publishing Company Practice Test 1-2 Answer Key Getting Ready for High-Stakes Assessments © Houghton Mifflin Harcourt Publishing Company

Transcript of Answer Key Getting Ready for High-Stakes Assessments

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

1Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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

4Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

Practice Test

STOP

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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ifflin Harcourt Publishing Company

Practice Test

STOP

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

.

8Getting Ready for High-Stakes Assessments

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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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

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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

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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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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GO O

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

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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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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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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

STOP

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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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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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ifflin Harcourt Publishing Company

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

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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

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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

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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

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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

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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

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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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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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ifflin Harcourt Publishing Company

Practice Test

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

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Name

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

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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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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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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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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

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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

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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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N

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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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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

.

66

Getting Ready for High-Stakes Assessments

© Houghton M

ifflin Harcourt Publishing Company

Practice Test

65-66 Answer KeyGetting Ready for High-Stakes Assessments© Houghton Mifflin Harcourt Publishing Company

STOP

Name

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

68

Getting Ready for High-Stakes Assessments

© Houghton M

ifflin Harcourt Publishing Company

Practice Test

GO O

N

Name

Practice Test

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