Transcript
Page 1: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

1 T

est

Pa

ge

2

Fo

r 3

–4

, u

se

th

e t

ab

le.

Mo

un

tain

Pe

ak

s o

f C

an

ad

a

Nam

eH

eig

ht

(ft)

Nam

eH

eig

ht

(ft)

Cente

nnia

l P

eak

12,5

33

Mount R

oot

12,7

99

Mount C

olu

mbia

12,2

93

Mount T

iedem

ann

12,6

25

Mount K

ing G

eorg

e12,2

74N

ort

h T

win

12,2

47

3

. W

rite

th

e n

am

e o

f each

mou

nta

in in

th

e b

ox

that

desc

rib

es

its

heig

ht, in

feet.

4

. C

ircle

th

e n

am

e o

f th

e t

alle

st p

eak. Exp

lain

how

you

kn

ow

wh

ich

of

the m

ou

nta

in p

eaks

is t

he t

alle

st.

M

ou

nt

Ro

ot

is t

he

ta

lle

st;

Po

ss

ible

ex

pla

na

tio

n:

I c

om

pa

red

th

e h

eig

hts

by

pla

ce

va

lue

po

sit

ion

.

5

. Th

e a

ssis

tan

t p

rin

cip

al b

ou

gh

t 2

30

stu

den

t p

lan

ners

for

the

sch

ool.

If t

here

are

10

pla

nn

ers

in

a b

ox,

how

man

y b

oxe

s d

id

he b

uy?

A

2,3

00

C

2

30

B

2

40

D

2

3

6

. Lu

is a

nd

Liz

each

rou

nd

ed

63

5,9

74

to t

he n

eare

st t

en

thou

san

d. Lu

is w

rote

63

0,0

00

an

d L

iz w

rote

64

0,0

00

. W

ho is

corr

ect?

Exp

lain

th

e e

rror

that

was

mad

e.

Liz

is

co

rre

ct.

Po

ss

ible

ex

pla

na

tio

n:

Lu

is l

eft

th

e t

en

tho

us

an

ds

dig

it t

he

sa

me

in

ste

ad

of

inc

rea

sin

g i

t b

y

1. T

he

dig

it i

n t

he

th

ou

sa

nd

s p

lac

e i

s 5

, s

o t

o r

ou

nd

to

the

ne

are

st

ten

th

ou

sa

nd

, L

uis

sh

ou

ld h

ave

in

cre

as

ed

the

te

n t

ho

us

an

ds

dig

it, 3

, b

y 1

.

Betw

een

12

,24

0 f

eet

an

d

12

,50

0 f

eet

Betw

een

12

,50

1 f

eet

an

d

12

,80

0 f

eet

Mo

un

t C

olu

mb

ia, M

ou

nt

Kin

g G

eo

rge

, N

ort

h T

win

Ce

nte

nn

ial

Pe

ak

,

Mo

un

t T

ied

em

an

n,

Mo

un

t R

oo

t

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

1 T

est

Ass

ess

me

nt

Gu

ide

AG38

Chapte

r 1 T

est

Page 1

1

.S

ele

ct

a n

um

ber

for

th

at

will

make a

tru

e c

om

pari

son

.

Mark

all

that

ap

ply

.

80

7,0

58

>

A

87

0,5

08

C

80

7,5

08

E 8

05

,05

8

B

87

0,0

58

D

80

7,0

85

F 8

00

,75

8

2

. Lesl

ie w

rote

th

e g

reate

st n

um

ber

that

can

be m

ad

e u

sin

g

each

of

these

dig

its

exa

ctly

on

ce.

62

47

91

Par

t A

Wh

at

was

Lesl

ie’s

nu

mb

er?

How

do y

ou

kn

ow

th

is is

the

gre

ate

st p

oss

ible

nu

mb

er

for

these

dig

its?

976

,42

1;

po

ss

ible

an

sw

er:

I u

se

d p

lac

e v

alu

e. I

too

k t

he

gre

ate

st

dig

it a

nd

pla

ce

d i

t in

th

e s

po

t fu

rth

es

t to

th

e

left

, th

e h

un

dre

d t

ho

us

an

ds

co

lum

n. I

pla

ce

d t

he

nex

t

gre

ate

st

dig

it i

n t

he

te

n t

ho

us

an

ds

co

lum

n a

nd

so

on

.

I k

no

w t

ha

t e

ach

pla

ce

va

lue

is

te

n t

ime

s a

s m

uch

as

the

pla

ce

va

lue

to

its

rig

ht.

Par

t B

Wh

at

is t

he least

nu

mb

er

that

can

be m

ad

e u

sin

g e

ach

dig

it

exa

ctly

on

ce?

Exp

lain

wh

y th

e v

alu

e o

f th

e 4

is

gre

ate

r th

an

the v

alu

e o

f th

e 6

.

12

4,6

79

; p

os

sib

le e

xp

lan

ati

on

: th

e 4

re

pre

se

nts

4,0

00

an

d t

he

6 r

ep

res

en

ts 6

00

.

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

1 T

est

Ass

ess

me

nt

Gu

ide

AG37

AG327 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 2: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

1 T

est

Pa

ge

4

11

. For

num

bers

11

a–1

1d, se

lect

Tru

e o

r Fals

e f

or

each

sente

nce.

11a.

The v

alu

e o

f 2

in 7

24

,63

8 is

20

,00

0.

Tru

e

Fals

e

11b.

The v

alu

e o

f 8

in 3

80

,19

4 is

80

0,0

00

. Tru

e

Fals

e

11c.

The v

alu

e o

f 7

in 6

71

,23

5 is

70

,00

0.

Tru

e

Fals

e

11d.

The v

alu

e o

f 9

in 8

74

,09

2 is

90

0.

Tru

e

Fals

e

12

. Sele

ct

anoth

er

way

to s

how

10

6,4

23

. M

ark

all

that

apply

.

A

10

0,0

00

+ 6

,00

0 +

40

0 +

20

+ 3

B

1 h

undre

d t

housa

nd +

6 t

housa

nds

+ 4

hundre

ds

+

2 t

ens

+ 3

ones

C

one h

undre

d s

ix t

housa

nd, tw

enty

-thre

e

D

10

0,0

00

+ 1

6,0

00

+ 4

00

+ 2

0 +

3

E

one h

undre

d s

ix t

housa

nd, fo

ur

hundre

d t

hre

e

F

one h

undre

d s

ix t

housa

nd, fo

ur

hundre

d t

wenty

-thre

e

13

. Tanya

, W

ill, and J

uan a

re p

layi

ng a

gam

e o

nlin

e. Ju

an s

core

s

10

1,4

73

poin

ts. Tanya

score

s 9

,87

9 f

ew

er

poin

ts t

han J

uan

and W

ill s

core

s 9

,85

3 m

ore

poin

ts t

han T

anya

. W

hat

is W

ill's

score

? S

how

your

work

.

101,4

47; 101,4

73 –

9,8

79 =

91,5

94;

91,5

94 +

9,8

53 =

101,4

47; C

heck s

tud

en

ts’ w

ork

.

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

1 T

est

Ass

ess

me

nt

Gu

ide

AG40

Ch

ap

ter

1 T

est

Pa

ge

3

7

. Th

e t

ota

l se

aso

n a

tten

dan

ce f

or

a p

rofe

ssio

nal fo

otb

all

team

’s h

om

e g

am

es,

rou

nd

ed

to t

he n

eare

st t

en

th

ou

san

d,

was

71

0,0

00

. For

nu

mb

ers

7a–7

d, se

lect

Yes

or

No t

o t

ell

wh

eth

er

the n

um

ber

cou

ld b

e t

he e

xact

att

en

dan

ce.

7a.

70

6,7

91

Y

es

N

o

7b.

70

0,9

87

Y

es

N

o

7c.

70

1,7

52

Y

es

N

o

7d.

71

4,4

98

Y

es

N

o

Fo

r 8

–10

, u

se

th

e t

ab

le.

Th

e t

ab

le s

how

s re

cen

t p

op

ula

tion

data

for

Fre

sno, C

alif

orn

ia.

Po

pu

lati

on

of

Fre

sno

, C

A

Ag

e in

years

Po

pu

lati

on

Ag

e in

years

Po

pu

lati

on

Un

de

r 5

43

,911

20

to

34

119

,38

8

5 to

94

0,0

87

35

to

49

8

9,4

16

10

to

14

39

,63

45

0 to

64

7

2,2

61

15

to

19

43

,86

76

5 a

nd

ove

r

46

,101

8

. H

ow

man

y ch

ildre

n a

re u

nd

er

10

years

old

? S

how

you

r w

ork

.

8

3,9

98

ch

ild

ren

; 4

3,9

11 +

40

,08

7 =

83

,99

8;

Ch

eck

stu

de

nts

’ w

ork

.

9

. H

ow

man

y p

eop

le a

re b

etw

een

th

e a

ges

of

35

an

d 6

4?

Sh

ow

you

r w

ork

.

16

1,6

77

pe

op

le;

89

,416

+ 7

2,2

61

= 1

61

,67

7;

Ch

eck

stu

de

nts

’ w

ork

.

10

. H

ow

man

y m

ore

ch

ildre

n a

re u

nd

er

the a

ge o

f 5

th

an

betw

een

th

e a

ges

of

10

an

d 1

4?

Sh

ow

you

r w

ork

.

4

,27

7 c

hil

dre

n;

43

,911

– 3

9,6

34

= 4

,27

7;

Ch

eck

stu

de

nts

’ w

ork

.

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

1 T

est

Ass

ess

me

nt

Gu

ide

AG39

AG328 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 3: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 1 T

est

Page 6

17

. M

atc

h t

he n

um

ber

to t

he v

alu

e o

f its

5.

36

,45

8

5

37

5,1

23

5

0

18

,00

5

50

,00

0

52

,78

9

5,0

00

18

. A

tota

l of

54

3,7

18

vis

itors

wen

t to

a t

hem

e p

ark

du

rin

g

Au

gu

st a

nd

Sep

tem

ber. If

32

1,6

54

vis

itors

wen

t to

th

e t

hem

e

park

in

Au

gu

st, h

ow

man

y vi

sito

rs w

en

t to

th

e t

hem

e p

ark

in

Sep

tem

ber?

Sh

ow

you

r w

ork

.

2

22

,06

4 p

eo

ple

; 5

43

,718

− 3

21

,65

4 =

22

2,0

64

; C

he

ck

stu

de

nts

’ w

ork

.

19

. A

n ice-s

katin

g c

om

petition

last

ed

th

ree d

ays

. D

ay

on

e h

ad

an

att

en

dan

ce o

f 1

6,3

90

peop

le. D

ay

two h

ad

an

att

en

dan

ce

of

16

,55

0 p

eop

le. D

ay

thre

e h

ad

an

att

en

dan

ce o

f 1

6,2

37

peop

le. W

rite

th

e d

ays

in

ord

er

from

least

att

en

dan

ce t

o

gre

ate

st a

tten

dan

ce. U

se p

ictu

res,

word

s, o

r n

um

bers

to

show

how

you

kn

ow

.

d

ay

th

ree

, d

ay

on

e, d

ay

tw

o;

po

ss

ible

an

sw

er:

16

,23

7 <

16

,39

0 <

16

,55

0

20

. U

se c

om

para

tive

rela

tion

al th

inkin

g t

o c

hoose

wh

ich

eq

uation

is

fals

e.

A

45

+ 1

1 =

37

+ 1

9

B

64

+ 2

7 =

73

+ 1

8

C

87

– 3

3 =

83

– 3

7

D

54

– 2

8 =

63

– 3

7

••

••

••

••

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

1 T

est

Ass

ess

me

nt

Gu

ide

AG42

14

. U

se c

om

para

tive

rela

tion

al th

inkin

g t

o f

ind

th

e

un

kn

ow

n n

um

ber.

8

4 –

n =

98

– 2

3

A

n =

8

B

n =

9

C

n =

75

D

n =

15

9

15

. A

rizo

na h

as

a lan

d a

rea o

f 1

13

,99

8 s

qu

are

mile

s. W

yom

ing

has

a lan

d a

rea o

f 9

7,8

13

sq

uare

mile

s. H

ow

mu

ch

gre

ate

r

is t

he a

rea, in

sq

uare

mile

s, o

f A

rizo

na t

han

th

e a

rea o

f

Wyo

min

g?

Sh

ow

you

r w

ork

an

d e

xpla

in h

ow

you

kn

ow

th

e

an

swer

is r

easo

nab

le.

16,1

85 s

qu

are

miles; 11

3,9

98 −

97,

813 =

16

,18

5;

I e

sti

ma

ted

th

e d

iffe

ren

ce

as

110

,00

0 −

98

,00

0, o

r

12

,00

0. T

he

an

sw

er

is c

los

e t

o t

he

es

tim

ate

of

12

,00

0,

so

it

is r

ea

so

na

ble

. C

he

ck

stu

de

nts

’ w

ork

.

16

. C

ircle

th

e c

hoic

e t

hat

com

ple

tes

the s

tate

men

t.

10

,00

0 less

th

an

35

,39

1 is

eq

ual to

gre

ate

r th

an

less

th

an

1,0

00

less

th

an

25

,39

1.

Chapte

r 1 T

est

Page 5

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

1 T

est

Ass

ess

me

nt

Gu

ide

AG41

AG329 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 4: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

2 T

est

Pa

ge

2

4

. For

num

bers

4a–4

d, se

lect

Tru

e o

r Fals

e f

or

each e

quation.

4a.

6 ×

72

3 =

4,2

28

Tru

e

Fals

e

4b.

7 ×

3,2

49

= 2

2,7

43

Tru

e

Fals

e

4c.

4 ×

93

8 =

3,6

52

Tru

e

Fals

e

4d.

9 ×

2,6

41

= 2

3,7

69

Tru

e

Fals

e

5

. P

art

A

D

raw

a lin

e t

o m

atc

h e

ach s

ection in t

he m

odel to

the p

art

ial

pro

duct

it r

epre

sents

.

4 ×

34

× 1

00

4 ×

70

100

70

3

4 Par

t B

Then f

ind 4

× 1

73

. Show

your

work

and e

xpla

in.

17

3

× 4

_

40

0

28

0

+ 1

2

_

69

2

Po

ss

ible

ex

pla

na

tio

n: T

he

mo

de

l s

ho

ws

th

at

I c

an

wri

te 1

73 a

s 1

00 +

70 +

3. T

hen

, I m

ult

iply

each

nu

mb

er

by

4 t

o g

et

the

pa

rtia

l p

rod

uc

ts 4

00

, 2

80

, a

nd

12

.

Th

e s

um

of

the

pa

rtia

l p

rod

uc

ts, 6

92

, is

th

e a

nsw

er.

Ch

eck

stu

de

nts

’ w

ork

.

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

2 T

est

AG44

Chapte

r 2 T

est

Page 1

Fo

r 1

–3

, u

se

th

e t

ab

le.

Pri

ce

s fo

r R

ose

s

Ro

se

Reg

ula

r

Pri

ce

Pri

ce f

or

3

or

mo

reR

ose

Reg

ula

r

Pri

ce

Pri

ce f

or

3

or

mo

re

Am

ste

rdam

$17

$14

Am

ber

Sta

r $16

$13

Core

tta S

cott K

ing

$25

$22

Am

eri

ca

$19

$16

Eden

$18

$15

Cin

dere

lla$15

$12

1

. W

hat

is t

he c

ost

of

3 A

mst

erd

am

rose

s? S

how

you

r w

ork

.

2

. M

r. R

ivera

bu

ys 5

Ed

en

rose

s an

d 2

Core

tta S

cott

Kin

g r

ose

s.

Wh

at

is t

he c

ost

of

the r

ose

s? S

how

you

r w

ork

an

d e

xpla

in

how

you

fou

nd

th

e a

nsw

er.

3

. S

hari

will

bu

y 3

Cin

dere

lla r

ose

s or

2 A

meri

ca r

ose

s. S

he

wan

ts t

o b

uy

the r

ose

s th

at

cost

less

. W

hat

rose

s w

ill s

he

bu

y? H

ow

mu

ch

will

sh

e s

ave

? S

how

you

r w

ork

.

S

ha

ri w

ill

bu

y 3

Cin

de

rell

a r

os

es

; $

2;

$19

× 2

= $

38

;

$12

× 3

= $

36

; $

38

− $

36

= $

2;

Ch

eck

stu

de

nts

’ w

ork

.

$4

2;

$14

× 3

_

$4

2

C

he

ck

stu

de

nts

’ w

ork

.

$12

5;

$15

× 5

_

$7

5

2

× $

25

= $

50

$7

5 +

$5

0 =

$12

5

Po

ss

ible

ex

pla

na

tio

n:

Fir

st,

I f

ou

nd

th

e d

isc

ou

nte

d

co

st

of

the

Ed

en

ro

se

s a

nd

th

e r

eg

ula

r c

os

t o

f th

e

Co

rett

a S

co

tt K

ing

ro

ses. T

hen

, I ad

ded

th

e t

ota

l co

st

of

the

Ed

en

ro

se

s (

$7

5)

an

d t

he

to

tal

co

st

of

the

Co

rett

a S

co

tt K

ing

ro

se

s (

$5

0).

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

2 T

est

AG43

AG330 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 5: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

9

. M

ultip

ly 9

× 3

54

usi

ng

pla

ce v

alu

e a

nd

exp

an

ded

form

.

Ch

oose

th

e n

um

ber

from

th

e b

ox

to c

om

ple

te t

he e

xpre

ssio

n.

(9 ×

30

0

30 3

) +

(9

×

5 50

50

0

) +

( 9

×

40

0

40 4

)

10

. For

nu

mb

ers

10

a–1

0b

, u

se p

lace v

alu

e t

o f

ind

th

e p

rod

uct.

10a.

8

× 7

00

= 8

×

hu

nd

red

s

=

h

un

dre

ds

=

10b.

4

× 3

00

= 4

×

hu

nd

red

s

=

h

un

dre

ds

=

11

. C

arr

ie m

an

ag

es

a c

ate

rin

g c

om

pan

y. S

he r

en

ted

32

5 c

hair

s

each

week f

or

the f

irst

tw

o w

eeks

of

May.

Carr

ie r

en

ted

75

0 c

hair

s each

week f

or

the f

irst

tw

o w

eeks

of

Ap

ril.

Th

e

ch

air

ren

tal com

pan

y fo

rgot

to s

en

d 2

3 c

hair

s. H

ow

man

y

ch

air

s d

id C

arr

ie r

eceiv

e in

th

ose

4 w

eeks?

Sh

ow

you

r w

ork

.

3

25

× 2

= 6

50

75

0 ×

2 =

1,5

00

65

0 +

1,5

00

= 2

,15

0

2,1

50

− 2

3 =

2,1

27

Ca

rrie

re

ce

ive

d 2

,12

7 c

ha

irs

.

Ch

ap

ter

2 T

est

Pa

ge

4

7 3

56

12

5,6

00

1,2

00

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

2 T

est

AG46

Chapte

r 2 T

est

Page 3

6

. For

nu

mb

ers

6a–6

c, w

rite

an

eq

uation

or

a c

om

pari

son

sen

ten

ce u

sin

g t

he n

um

bers

on

th

e t

iles.

6a.

9 9

99

36

9

tim

es

as

man

y as

is

.

6b.

3 3

33

21 33

33 ×

=

6c.

9 ×

8 =

72

tim

es

as

man

y as

is

.

7

. M

ultip

ly 6

× 6

4. For

nu

mb

ers

7a–7

d, se

lect

Tru

e o

r Fals

e f

or

each

sta

tem

en

t.

7a.

A r

easo

nab

le e

stim

ate

of

the p

rod

uct

is 3

60

.

7b.

Usi

ng

part

ial p

rod

ucts

, th

e p

rod

ucts

are

24

0 a

nd

36

.

7c.

Usi

ng

reg

rou

pin

g, 2

4 o

nes

are

reg

rou

ped

as

4 t

en

s 2

on

es.

7a.

Th

e p

rod

uct

is 3

84

.

8

. It

cost

s 8

,35

5 p

oin

ts t

o b

uild

each

sch

ool in

th

e c

om

pu

ter

gam

e T

ow

n P

lannin

g. H

ow

mu

ch

does

it c

ost

to b

uild

6 s

ch

ools

? S

how

you

r w

ork

.

3

4

7

8

9

9

21

3

6

72

50

,13

0 p

oin

ts;

72

98

8

,35

5

×

6

__

50

,13

0

Ch

eck

stu

de

nts

’ w

ork

.

Tru

e

Fals

e

Tru

e

Fals

e

Tru

e

Fals

e

Tru

e

Fals

e

49

36

73

21

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

2 T

est

AG45

AG331 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 6: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

2 T

est

Pa

ge

6

15

. C

ath

y vo

lun

teere

d t

o c

olle

ct

can

s fo

r a s

ch

ool p

roje

ct. C

ath

y

colle

cte

d 1

25

can

s in

5 d

ays

. Th

ere

were

6 v

olu

nte

ers

,

inclu

din

g C

ath

y, w

ho e

ach

colle

cte

d a

bou

t th

e s

am

e n

um

ber

of

can

s. A

bou

t h

ow

man

y can

s d

id t

hey

colle

ct?

16

. K

ris

an

d J

ulio

pla

yed

a c

ard

gam

e. Tog

eth

er, t

hey

score

d

36

poin

ts in

on

e g

am

e. K

ris

score

d 2

tim

es

as

man

y p

oin

ts a

s

Julio

. H

ow

man

y p

oin

ts d

id K

ris

an

d J

ulio

each

score

? W

rite

an

eq

uation

an

d s

olv

e. Exp

lain

you

r w

ork

.

Ju

lio

sc

ore

d 1

2 p

oin

ts a

nd

Kri

s s

co

red

24

po

ints

.

po

ss

ible

ex

pla

na

tio

n:

Ju

lio

sc

ore

d n

po

ints

, a

nd

Kri

s s

co

red

2 ×

n p

oin

ts. T

og

eth

er

they

sc

ore

d 3

× n

po

ints

, s

o I

wro

te t

he

eq

ua

tio

n 3

× n

= 3

6. I

so

lve

d t

o

fin

d n

= 1

2 p

oin

ts, a

nd

2 ×

n =

24

po

ints

.

17

. H

eid

i’s m

om

mad

e f

low

er

arr

an

gem

en

ts f

or

a p

art

y.

Sh

e m

ad

e 4

tim

es

as

man

y ro

se a

rran

gem

en

ts a

s tu

lip

arr

an

gem

en

ts. H

eid

i's m

om

mad

e a

tota

l of

40

arr

an

gem

en

ts.

How

man

y flow

er

arr

an

gem

en

ts o

f each

typ

e d

id H

eid

i's m

om

make?

Com

ple

te t

he b

ar

mod

el.

Wri

te a

n e

qu

ation

an

d s

olv

e.

5

× n

= 4

0

n =

8

He

idi’s

mo

m m

ad

e 8

tu

lip

arr

an

ge

me

nts

an

d 3

2 r

os

e

arr

an

ge

me

nts

.

18

. U

se t

he D

istr

ibu

tive

Pro

pert

y to

mod

el th

e p

rod

uct

on

th

e

gri

d. R

ecord

th

e p

rod

uct.

4 ×

16

= _

______

13

5

40

0

60

0

1,2

00

Ro

se

Tu

lip

nnn

nn

40

4

106

64

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG48

Ch

ap

ter

2 T

est

Chapte

r 2 T

est

Page 5

12

. There

is

a p

lant

sale

at

school.

The p

rice f

or

each p

lant

is $

7. W

hic

h e

xpre

ssio

n c

an b

e u

sed t

o s

how

how

much

money

the s

chool w

ill m

ake if

it s

ells

32

5 p

lants

? U

se

the n

um

bers

on t

he t

iles

to c

om

ple

te y

our

answ

er.

(7 ×

)

+ (

7 ×

)

+ (

7 ×

)

13

. Fin

d 9

× 5

03

. S

how

you

r w

ork

an

d e

xpla

in w

hy

the s

trate

gy

you

ch

ose

work

s b

est

with

th

e f

acto

rs.

4

,52

7;

Po

ss

ible

ex

pla

na

tio

n:

Sin

ce

50

3 i

s 3

mo

re t

ha

n

50

0, I

us

ed

ad

dit

ion

.

9 ×

(5

00

+ 3

) =

(9

× 5

00

) +

(9

× 3

) =

4,5

00

+ 2

7 =

4,5

27

14

. Lan

a b

ou

gh

t p

art

y fa

vors

at

the s

tore

for

the s

ch

ool's

6th

gra

de g

rad

uation

part

y.

Lan

a b

ou

gh

t 7

bag

s of

part

y h

ats

with

12

hats

in

each

bag

. Lan

a a

lso b

ou

gh

t 4

bag

s of

horn

s

with

24

horn

s in

each

bag

.

Par

t A

H

ow

man

y m

ore

horn

s th

an

part

y h

ats

did

Lan

a b

uy?

S

how

you

r w

ork

.

L

an

a b

ou

gh

t 12

mo

re h

orn

s t

ha

n p

art

y h

ats

; 7

× 1

2 =

84

; 4

× 2

4 =

96

; 9

6 −

84

= 1

2;

Ch

eck

stu

de

nts

’ w

ork

.

Par

t B

L

an

a a

lso b

ou

gh

t 3

bag

s of

wh

istles

with

18

wh

istles

in e

ach

bag

. W

hen

th

e p

art

y st

art

ed

, Lan

a f

ou

nd

th

at

19

of

the p

art

y

favo

rs w

ere

bro

ken

. H

ow

man

y u

nb

roken

part

y fa

vors

were

there

? E

xpla

in y

ou

r an

swer.

2

15

un

bro

ke

n p

art

y f

avo

rs;

po

ss

ible

ex

pla

na

tio

n:

fi rs

t, I

fo

un

d t

he

nu

mb

er

of

wh

istl

es

, 3

× 1

8 =

54

.

Nex

t, I

ad

de

d t

ha

t n

um

be

r to

th

e n

um

be

r o

f h

ats

an

d

ho

rns

, 5

4 +

84

+ 9

6 =

23

4 p

art

y f

avo

rs i

n a

ll. L

as

t, I

su

btr

ac

ted

th

e n

um

be

r o

f b

roke

n p

art

y f

avo

rs, s

o

23

4 −

19

= 2

15

un

bro

ke

n p

art

y f

avo

rs.

25

72

0

50

30

30

0

30

02

05

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

2 T

est

AG47

AG332 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 7: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

3 T

est

Pa

ge

2

3

. F

or

nu

mb

ers

3a–3

e, se

lect

Yes

or

No t

o s

how

if

the a

nsw

er

is

corr

ect.

3a.

75 ×

10 =

750

Yes

No

3b.

14 ×

20 =

280

Yes

No

3c.

60 ×

30 =

180

Yes

No

3d.

50

× 5

0 =

2,5

00

Yes

No

3e.

14

× 3

0 =

70

0

Y

es

No

4

. T

here

are

28

boxe

s of

pen

s in

Mr. G

ard

ner’s

sup

ply

cab

inet.

Each

box

con

tain

s 1

00

pen

s. H

ow

man

y p

en

s are

in

th

e

sup

ply

cab

inet?

pen

s

5

. W

hic

h w

ou

ld p

rovi

de a

reaso

nab

le e

stim

ate

for

each

pro

du

ct?

Wri

te t

he e

stim

ate

besi

de t

he p

rod

uct. A

n

est

imate

may

be u

sed

more

th

an

on

ce.

50

× 2

02

5 ×

40

30

× 3

0

26

× 3

7

2

5 ×

40

2

8 ×

31

30

× 3

0

51

× 2

1

5

0 ×

20

4

1 ×

24

25

× 4

0

6

. T

here

are

23

cla

sses

in t

he f

ou

rth

gra

de. Each

gra

de h

as

21

stu

den

ts. W

rite

a n

um

ber

sen

ten

ce t

hat

will

pro

vid

e

a r

easo

nab

le e

stim

ate

for

the n

um

ber

of

stu

den

ts in

th

e

fou

rth

 gra

de. Exp

lain

how

you

fou

nd

you

r est

imate

.

Po

ss

ible

nu

mb

er

se

nte

nc

e:

25

× 2

0 =

50

0;

po

ss

ible

ex

pla

na

tio

n:

I u

se

d n

um

be

rs t

ha

t w

ere

clo

se

to

th

e

giv

en

nu

mb

ers

bu

t e

as

ier

to m

ult

iply

.

2,8

00

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

3 T

est

AG50

Chapte

r 3 T

est

Page 1

1

. Exp

lain

how

to f

ind

30

× 8

0 u

sin

g m

en

tal m

ath

.

P

os

sib

le e

xp

lan

ati

on

: th

ink

of

80

as

8 t

en

s. 3

0 ×

8

ten

s i

s 2

40

te

ns

; 2

40

te

ns

= 2

,40

0

2

. M

r. B

urn

’s c

lass

is

takin

g a

fie

ld t

rip

to t

he p

lan

eta

riu

m. Th

e

trip

will

cost

 $2

7 f

or

each

stu

den

t. T

here

are

 18

stu

den

ts in

his

cla

ss.

Par

t A

Rou

nd

each

facto

r to

est

imate

 th

e t

ota

l cost

of

the f

ield

tri

p.

2

0 ×

30

= 6

00

Th

e t

ota

l c

os

t w

ou

ld b

e a

bo

ut

$6

00

.

Par

t B

Use

com

patib

le n

um

bers

to e

stim

ate

th

e t

ota

l cost

of

the f

ield

tri

p.

2

0 ×

25

= 5

00

Th

e t

ota

l c

os

t w

ou

ld b

e a

bo

ut

$5

00

.

Par

t C

Wh

ich

do y

ou

th

ink is

the b

ett

er

est

imate

? E

xpla

in.

A

nsw

ers

wil

l va

ry. P

os

sib

le a

nsw

er:

I t

hin

k t

he

es

tim

ate

us

ing

th

e c

om

pa

tib

le n

um

be

rs i

s a

be

tte

r

es

tim

ate

. Wh

en

ro

un

de

d n

um

be

rs a

re u

se

d t

o fi

nd

an

es

tim

ate

, e

ach

fa

cto

r b

ec

om

es

gre

ate

r th

an

th

e

ac

tua

l fa

cto

rs, s

o t

he

pro

du

ct

wil

l b

e a

n o

ve

res

tim

ate

.

Wh

en

co

mp

ati

ble

nu

mb

ers

are

us

ed

, o

ne

es

tim

ate

d

fac

tor

wa

s $

2 l

es

s t

ha

n t

he

ac

tua

l fa

cto

r a

nd

th

e o

the

r

es

tim

ate

d f

ac

tor

wa

s 2

mo

re t

ha

n t

he

ac

tua

l fa

cto

r, s

o

the

es

tim

ate

sh

ou

ld b

e c

los

e t

o t

he

ac

tua

l p

rod

uc

t.

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

3 T

est

AG49

AG333 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 8: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

3 T

est

Pa

ge

4

10

. W

hic

h m

odel can b

e u

sed t

o f

ind t

he p

roduct?

Wri

te t

he

lett

er

of

the m

ultip

lication p

roble

m b

elo

w t

he m

odel.

A 1

7 ×

35

B 2

6 ×

14

C 1

3 ×

33

330 30

030 9

90

10 3

5 30 30

050 35

210

10 7

410 20

08

0 246

0

20 6

C

A

B

11

. M

r. T

hom

as

pla

ces

ord

ers

for

pencils

with t

he s

chool

em

ble

m. The o

rder

inclu

des

15

boxe

s of

pencils

and e

ach

box

hold

s 2

5 p

encils

. H

ow

many

pencils

does

Mr. T

hom

as

ord

er?

Use

part

ial pro

ducts

to h

elp

you f

ind t

he a

nsw

er.

(25

× 1

5)

= (

20

× 1

0)

+ (

20

× 5

) +

(5

× 1

0)

+

(5 ×

5)

= 3

75

pe

nc

ils

12

. W

rite

the u

nknow

n d

igits.

Use

each d

igit e

xactly

once.

5

1

×

2

8

1

,0

00

4

00

2

0

+

8

1,4

28

13

. A

lex

has

21

marb

les.

Zach h

as

19

 tim

es

as

many

marb

les

as

Ale

x. H

ow

many

marb

les

does 

Zach h

ave

?

marb

les

14

. M

ultip

ly.

51

× 1

3 =

12

48

0

39

9

66

3

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

3 T

est

AG52

Chapte

r 3 T

est

Page 3

7

. T

he m

od

el sh

ow

s 4

1 ×

32

. W

rite

th

e p

art

ial p

rod

ucts

.

302

401,200 30

280

1

8

. A

lbert

mad

e t

his

mod

el to

fin

d t

he p

rod

uct

28

× 4

3. H

is

mod

el is

in

corr

ect.

Par

t A

Wh

at

did

Alb

ert

do w

ron

g?

A

lbe

rt a

dd

ed

th

e n

um

be

rs i

n t

he

mo

de

l in

ste

ad

of

mu

ltip

lyin

g.

Par

t B

Red

raw

th

e m

od

el so

th

at

it is

corr

ect.

40 800

320

824603

20

Par

t C

Wh

at

is t

he p

rod

uct

28

× 4

3?

1,2

04

9

. T

atu

m w

an

ts t

o u

se p

art

ial p

rod

ucts

to f

ind

12

× 3

6. W

rite

the n

um

bers

in

 th

e b

oxe

s to

sh

ow

12

× 3

6.

( 10

×

30

) +

( 1

0 ×

6

) +

(

2 ×

3

0 )

+ (

2

×

6 )

40 60 488

11233

20

43

× 2

8 =

14

2

Po

ss

ible

an

sw

er

giv

en

.

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

3 T

est

AG51

AG334 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 9: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 3 T

est

Page 6

20

. S

teve

an

d B

rad

ley

are

fin

din

g t

he p

rod

uct

of

25

an

d 2

1.

Par

t A

Ste

ve’s

an

swer

is in

corr

ect. W

hat

did

Ste

ve d

o w

ron

g?

S

teve

mu

ltip

lie

d 2

5 b

y 2

0 c

orr

ec

tly, b

ut

the

n m

ult

ipli

ed

2

5 b

y 1

as

25

0.

Par

t B

Bra

dle

y’s

answ

er

is a

lso inco

rrect

. What

did

Bra

dle

y do w

rong?

B

rad

ley

mu

ltip

lie

d 5

by

20

an

d g

ot

10

in

ste

ad

of

10

0.

Par

t C

Wh

at

is t

he c

orr

ect

pro

du

ct?

52

5

21

. A

mu

sic s

tore

sells

22

blu

e M

P3

pla

yers

an

d 2

7 r

ed

MP

3

pla

yers

. Each

 MP

3 p

laye

r cost

s $

41

.

Par

t A

Wh

at

is a

reaso

nab

le e

stim

ate

for

the t

ota

l cost

of

the M

P3

pla

yers

? S

how

or

exp

lain

how

you

fou

nd

you

r an

swer.

Po

ss

ible

es

tim

ate

: $

2,0

00

; 2

2 +

27

is

ab

ou

t 5

0. $

41

is

ab

ou

t $

40

.

50

× $

40

= $

2,0

00

Par

t B

Wh

at

is t

he e

xact

an

swer

for

the t

ota

l cost

of

the M

P3

pla

yers

? S

how

or

exp

lain

how

you

fou

nd

you

r an

swer.

$2

,00

9;

22

+ 2

7 =

49

49

× $

41

= $

2,0

09

Ste

veB

rad

ley

2

5 2

5

×

21

×

21

2

50

4

00

+ 5

00

1

0

7

50

2

0

+ 5

4

35

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

3 T

est

AG54

Chapte

r 3 T

est

Page 5

15

. A

farm

er

pla

nte

d 3

8 r

ow

s of

gre

en

bean

s w

ith

17

pla

nts

in

each

row

. H

ow

man

y g

reen

bean

pla

nts

did

th

e f

arm

er

gro

w?

gre

en

bean

pla

nts

16

. S

ele

ct

an

oth

er

way

to s

how

23

× 2

9. M

ark

all

that

ap

ply

.

A (

23

× 2

0)

+ (

23

× 9

)

B (

23

× 2

0)

+ (

23

× 2

) +

(23

× 2

0)

+ (

23

× 9

)

C (

20

× 2

9)

+ (

3 ×

20

) +

(3

× 9

)

D (

23

× 2

0)

+ (

23

× 3

)

E (

20

× 2

0)

+ (

20

× 9

) +

(3 ×

20

) +

(3

× 9

)

17

. V

al ru

ns

13

lap

s. E

ach

lap

is

72

 mete

rs. H

ow

man

y m

ete

rs

does

Van

ru

n?

Sh

ow

you

r w

ork

.

9

36

me

ters

; 13

× 7

2 =

93

6;

Ch

eck

stu

de

nts

’ w

ork

.

18

. Th

e s

ch

ool p

rin

cip

al ord

ers

6 n

ew

ch

alk

board

s fo

r

each

gra

de. Th

ere

are

3 g

rad

es

in t

he s

ch

ool.

Each

new

ch

alk

board

cost

$9

8. W

hat

is t

he t

ota

l cost

for

the n

ew

ch

alk

board

s? E

xpla

in h

ow

you

fou

nd

you

r an

swer.

$1

,76

4;

Po

ss

ible

ex

pla

na

tio

n:

I m

ult

ipli

ed

6 a

nd

3 t

o

ge

t 18

. Th

en

I m

ult

ipli

ed

18

an

d 1

00

to

ge

t 1

,80

0. S

inc

e

98

is

2 l

es

s t

ha

n 1

00

, I

su

btr

ac

ted

2 ×

18

fro

m 1

,80

0 t

o

ge

t 1

,76

4.

19

. B

ill a

nd

Aly

ssa h

elp

ed

pack b

ooks

to d

on

ate

to a

ch

ari

ty. B

ill

packed

28

boxe

s w

ith

30

books

in e

ach

box.

Aly

ssa p

acked

31

boxe

s w

ith

25

books

in e

ach

box.

How

man

y m

ore

 books

did

Bill

pack?

Sh

ow

you

r w

ork

.

6

5 b

oo

ks

; 2

8 ×

30

= 8

40

; 3

1 ×

25

= 7

75

; 8

40

– 7

75

= 6

5

64

6

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

3 T

est

AG53

AG335 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 10: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

4 T

est

Pa

ge

2

5

. The h

arb

orm

ast

er

decid

es

how

many 

trip

s th

e f

err

y needs

to

make f

or

37

cars

. The f

err

y can c

arr

y 8

cars

at

a t

ime. W

hat

is

the b

est

way

to inte

rpre

t th

e r

em

ain

der

of 

37

÷ 8

so t

hat

all

cars

can c

ross

the h

arb

or?

Inc

rea

se

th

e q

uo

tie

nt

by

1.

6

. K

ira m

akes

93

gre

eting c

ard

s fo

r a c

raft

fair

. She s

ells

the

card

s in

packs

of

5. H

ow

many

full

packs

of 

gre

eting c

ard

s

does

Kir

a m

ake?

18

packs

7

. A

kennel is

movi

ng 1

60

dogs

to a

new

facili

ty. Each d

og

has

its

ow

n c

rate

. The f

acili

ty m

anager

rents

17

 tru

cks.

Each

truck h

old

s 9

dogs

in t

heir

cra

tes.

Par

t A

Wri

te a

div

isio

n p

roble

m t

hat

can b

e u

sed t

o f

ind t

he n

um

ber

of 

trucks

needed t

o c

arr

y th

e d

ogs

in t

heir

cra

tes.

Then s

olv

e.

16

0 ÷

9 =

17

r7

Par

t B

What

does

the r

em

ain

der

mean in t

he c

onte

xt o

f th

e p

roble

m?

A r

em

ain

de

r o

f 7

me

an

s t

ha

t 7

do

gs

an

d t

he

ir c

rate

s

do

no

t fi

t in

th

e 1

7 t

ruck

s.

Par

t C

Ho

w c

an

you

use

you

r an

swer

to d

ete

rmin

e if

the f

acili

ty m

an

ag

er

ren

ted

en

ou

gh

tru

cks?

Exp

lain

.

Hav

ing

a r

em

ain

de

r le

ts m

e k

no

w t

ha

t n

ot

all

of

the

do

gs

an

d t

he

ir c

rate

s w

ill

fit

in t

he

17

tru

ck

s. T

he

fac

ilit

y m

an

ge

r d

id n

ot

ren

t e

no

ug

h t

ruck

s.

8

. Solv

e.

4,5

00

÷ 9

=

50

0

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

4 T

est

AG56

Chapte

r 4 T

est

Page 1

1

. K

elli

an

d h

er

fam

ily w

en

t to

th

e b

each

for

vacation

. Th

ey

dro

ve 2

93

mile

s in

7 h

ou

rs t

o g

et

there

. If

th

ey

dro

ve t

he

sam

e n

um

ber

of

mile

s each

hou

r, a

bou

t h

ow

man

y m

iles

did

th

ey

dri

ve e

ach

hou

r? S

ele

ct

the n

um

bers

th

e q

uotien

t

is b

etw

een

.

A

B

C

D

E

40

5

0

60

7

0

80

2

. B

etw

een

wh

ich

tw

o n

um

bers

is

the q

uotien

t of

88

÷ 5

?

Wri

te t

he n

um

bers

in

th

e b

oxe

s.

51

01

52

02

5

Th

e q

uotien

t is

betw

een

15

an

d

20

.

3

. Look a

t th

e m

od

el.

Wh

at

div

isio

n d

oes

it s

how

?

20

÷

3

6

r

2

4

. For

4a–4

d, ch

oose

Yes

or

No t

o t

ell

wh

eth

er

the d

ivis

ion

sen

ten

ce h

as

a r

em

ain

der.

4a.

32

÷ 4

Y

es

N

o

4b.

41

÷ 3

Y

es

N

o

4c.

65

÷ 4

Y

es

N

o

4d.

36

÷ 9

Y

es

N

o

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

4 T

est

AG55

AG336 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 11: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

4 T

est

Pa

ge

4

14

. A

scie

nce s

how

bri

ng

s alo

ng

eve

ryth

ing

it

need

s fo

r a s

how

in b

ig t

rucks.

Par

t A

Th

e s

cie

nce s

how

sets

up

ch

air

s in

row

s w

ith

8 s

eats

in

each

row

. H

ow

man

y ro

ws

will

need

to b

e s

et

up

if

45

6 p

eop

le a

re

exp

ecte

d t

o a

tten

d t

he s

how

?

57

row

s

Par

t B

Can

th

e r

ow

s b

e d

ivid

ed

in

to a

nu

mb

er

of

eq

ual se

ction

s?

Exp

lain

how

you

fou

nd

you

r an

swer.

Ye

s;

Po

ss

ible

ex

pla

na

tio

n:

I d

ivid

ed

45

6 b

y 8

to

fin

d

the

re w

ill

ne

ed

to

be

57

ro

ws

. S

inc

e 5

7 c

an

be

div

ide

d

by

3 w

ith

no

re

ma

ind

er,

th

e r

ow

s c

an

be

arr

an

ge

d i

nto

3 e

qu

al

se

cti

on

s.

Par

t C

Th

e liz

ard

s in

th

e s

how

eat

ab

ou

t 2

50

cri

ckets

per

week.

Ab

ou

t h

ow

man

y cri

ckets

do t

he liz

ard

s eat

each

day?

Exp

lain

.

Po

ss

ible

an

sw

er:

ab

ou

t 4

0 c

ricke

ts;

I m

ult

ipli

ed

7 b

y

mu

ltip

les

of

10

. 10

× 7

= 7

0, 2

0 ×

7 =

14

0, 3

0 ×

7 =

210

, 4

0 ×

7 =

28

0. 2

50

is

clo

se

st

to 2

80

, s

o t

he

be

st

es

tim

ate

is

ab

ou

t 4

0 c

ricke

ts p

er 

day.

15

. S

ylvi

a p

lan

s to

pla

ce 6

17

sta

mp

s in

 an

alb

um

. Each

pag

e o

f

the a

lbu

m h

old

s 5

sta

mp

s. S

he u

ses

div

isio

n t

o f

ind

ou

t h

ow

man

y fu

ll p

ag

es

she w

ill h

ave

. In

wh

at

pla

ce is 

the f

irst

dig

it

of

the q

uotien

t?

hu

nd

red

s

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

4 T

est

AG58

Chapte

r 4 T

est

Page 3

9

. W

hic

h q

uotien

ts a

re e

qu

al to

60

0?

Mark

all

that

ap

ply

.

A

1,2

00

÷ 2

C

2

,40

0 ÷

4

E

42

0 ÷

7

B

18

0 ÷

3

D

3,0

00

÷ 5

F

6

,00

0 ÷

3

10

. Liz

est

imate

d 2

28

÷ 7

to b

e b

etw

een

30

an

d 4

0. W

hic

h b

asi

c

facts

did

sh

e u

se t

o h

elp

her

est

imate

? M

ark

all

that

ap

ply

.

A 2

0 ÷

5

B 2

1 ÷

7

C 2

8 ÷

7

D 3

0 ÷

5

11

. A

man

da a

nd

her

fou

r si

sters

div

ided

1,0

21

stickers

eq

ually

.

Ab

ou

t h

ow

man

y st

ickers

did

each

gir

l re

ceiv

e?

Po

ss

ible

an

sw

er:

ab

ou

t 2

00

 sti

cke

rs

12

. For

nu

mb

ers

12

a–1

2d

, ch

oose

Yes

or

No t

o s

how

how

to u

se

the D

istr

ibu

tive

Pro

pert

y to

bre

ak a

part

th

e d

ivid

en

d t

o f

ind

the q

uotien

t 1

28

÷ 4

.

12a.

(1

00

÷ 4

) +

(2

8 ÷

4)

Y

es

N

o

12b.

(1

03

÷ 4

) +

(2

5 ÷

4)

Y

es

N

o

12c.

(6

4 ÷

4)

+ (

64

÷ 4

) Y

es

N

o

12d.

(1

2 ÷

4)

+ (

28

÷ 4

) Y

es

N

o

13

. Th

ere

are

48

peop

le w

aitin

g f

or

a f

ish

ing

tou

r. E

ach

boat

hold

s 1

2 p

eop

le. R

od

ney

use

d t

he w

ork

belo

w t

o f

ind

th

e

nu

mb

er

of

boats

need

ed

. Exp

lain

how

Rod

ney’

s w

ork

can

be

use

d t

o f

ind

th

e n

um

ber

of

boats

need

ed

.

12

q w

48

−1

2

_

3

6

−1

2

_

2

4

−1

2

_

1

2

−1

2

_

0

P

os

sib

le a

nsw

er:

I c

an

co

un

t th

e n

um

be

r

of

tim

es

Ro

dn

ey

su

btr

ac

ted

12

. S

inc

e h

e

su

btr

ac

ted

12

fo

ur

tim

es

, 4

bo

ats

are

ne

ed

ed

.

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

4 T

est

AG57

AG337 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 12: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

4 T

est

Pa

ge

6

19

. Eth

an n

eeds

to d

ivid

e these

base

-ten b

lock

s in

to 3

equal gro

ups.

Dra

w o

r d

esc

rib

e t

he m

od

el to

sh

ow

how

man

y are

in

each

gro

up

.

Po

ss

ible

de

sc

rip

tio

n:

the

mo

de

l w

ill

sh

ow

3 e

qu

al

gro

up

s w

ith

3 t

en

s 2

on

es

in

ea

ch

gro

up

. O

R

20

. Ja

ke w

an

ts t

o d

istr

ibu

te 5

43

marb

les

eq

ually

am

on

g 7

of

his

frie

nd

s. In

wh

ich

pla

ce is

the f

irst

dig

it o

f th

e q

uotien

t? C

hoose

the w

ord

th

at

makes

the s

en

ten

ce t

rue.

Th

e f

irst

dig

it o

f th

e q

uotien

t is

in

th

e

on

es

ten

s

hu

nd

red

s

thou

san

ds

pla

ce.

21

. C

had

bou

gh

t 8

doze

n n

ote

pad

s fo

r h

is o

ffic

e. Th

e n

ote

pad

s

were

div

ided

eq

ually

in

to 6

boxe

s. H

ow

man

y n

ote

pad

s are

in

each

box?

16

note

pad

s

22

. Th

ere

are

12

6 s

eats

in

a m

eetin

g r

oom

. Th

ere

are

9 s

eats

in

each

row

. Th

ere

are

90

peop

le s

eate

d, filli

ng

up

 fu

ll ro

ws

of

seats

. H

ow

man

y ro

ws 

are

em

pty

?

4 r

ow

s

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG60

Ch

ap

ter

4 T

est

Chapte

r 4 T

est

Page 5

16

. W

hic

h m

od

el m

atc

hes

each

exp

ress

ion

? W

rite

th

e lett

er

in t

he

box

next

to t

he m

od

el.

480

B

360

A

480

D

360

C

17

. D

ieg

o b

ou

gh

t 4

88

fro

zen

yog

urt

bars

in

4 d

iffe

ren

t flavo

rs f

or

a p

art

y. H

e b

ou

gh

t th

e s

am

e n

um

ber

of

each

fla

vor. H

ow

man

y

of

each

fla

vor

did

he b

uy?

12

2 b

ars

of

each

fla

vor

18

. U

se p

art

ial q

uotien

ts. Fill

in

th

e b

lan

ks.

10

0 ×

7

10

0

7

× 7

+

7

10

7

7 q w

7

49

– 7

00

49

49

0

A

36

÷ 3

B

48

÷ 3

C

36

÷ 2

D

48

÷ 4

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

4 T

est

AG59

AG338 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 13: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 5 T

est

Page 2

5

.C

lass

ify

the n

um

bers

. Som

e n

um

bers

may

belo

ng in m

ore

than o

ne b

ox.

48

84

99

45

81

Div

isib

le b

y 3

an

d 9

Div

isib

le b

y 5

an

d 9

Div

isib

le b

y 2

an

d 6

45, 81, 99

45

48, 84

6

.Jo

sh w

ork

s in

a b

allo

on s

tore

. H

e w

ill p

ut

45

ballo

ons

into

bunches.

He m

ust

use

the s

am

e n

um

ber

of

ballo

ons

in e

ach

bunch. The n

um

ber

of

ballo

ons

in e

ach b

unch m

ust

be

gre

ate

r th

an 1

and less

than 1

0. H

ow

many

ballo

ons

could

be

in e

ach b

unch?

ballo

ons

7

. M

iles

has

a t

rain

colle

ction w

ith 3

6 e

ngin

es,

72

boxc

ars

, and

18

caboose

s. H

e w

ants

to a

rrange t

he t

rain

cars

in e

qual

row

s w

ith o

nly

one t

ype o

f tr

ain

car

in e

ach r

ow

. H

ow

many

can h

e p

ut

in e

ach r

ow

? M

ark

all

that

apply

.

A 1

2

B 6

C

4

D

3

E

2

F

1

8

.The lib

rary

is

desi

gnin

g a

book d

ispla

y w

ith 2

0 f

iction b

ooks,

28

bio

gra

phie

s, a

nd 4

0 n

on-f

iction b

ooks.

Each s

helf w

ill

have

only

one t

ype o

f book o

n it. S

heena s

ays

she c

an p

ut

5 b

ooks

on e

ach s

helf. She lis

ted t

he c

om

mon f

acto

rs o

f

20

, 2

8, and 4

0 b

elo

w t

o s

upport

her

reaso

nin

g.

20

: 1

, 2

, 3

, 4

, 5

, 7

, 2

0

28

: 1

, 2

, 4

, 5

, 1

4, 2

8

40

: 1

, 2

, 4

, 5

, 8

, 1

0, 2

0, 4

0

Is s

he c

orr

ect?

Exp

lain

your

answ

er. If

her

reaso

nin

g is

incorr

ect, e

xpla

in h

ow

she s

hould

have

found t

he a

nsw

er.

No

; P

os

sib

le e

xp

lan

ati

on

: H

er

lis

t o

f fa

cto

rs f

or

20

an

d

28

are

no

t c

orr

ec

t. 3

an

d 7

are

no

t fa

cto

rs o

f 2

0, b

ut

10

is

. 5

is

no

t a

fa

cto

r o

f 2

8, b

ut

7 i

s. S

inc

e t

he

co

mm

on

fa

cto

rs o

f 2

0, 2

8, a

nd

40

are

1, 2

, a

nd

4, s

he

ca

n o

nly

pu

t 1

, 2

, o

r 4

bo

ok

s o

n e

ach

sh

elf

.

3, 5

, o

r 9

AG62

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

5 T

est

Ch

ap

ter

5 T

est

Pa

ge

1

1

. Lis

t all

of

the f

acto

rs o

f th

e n

um

ber.

21

: 1

, 3

, 7,

21

2

. Sele

ct

the n

um

bers

that

have

a f

acto

r of

6. M

ark

all

that

apply

.

A 1

2

D

6

B

3

E 4

8

C 4

2

F 3

1

3

. M

ari

ssa w

as

decora

ting h

er

room

. She a

rranged 6

3 p

ictu

re

tile

s on a

wall

in t

he s

hape o

f a r

ecta

ngle

. For

3a–3

e, choose

Yes

or

No t

o t

ell

wheth

er

a p

oss

ible

arr

angem

ent

of

the

pic

ture

tile

s is

show

n.

3a.

7 r

ow

s of

9 t

iles

Y

es

N

o

3b.

22

row

s of

6 t

iles

Y

es

N

o

3c.

21

row

s of

3 t

iles

Y

es

N

o

3d.

63

row

s of

1 t

ile

Y

es

N

o

3e.

32

row

s of

2 t

iles

Y

es

N

o

4

. Lis

t all

the f

acto

r pair

s in

the t

able

.

Fa

cto

rs o

f 5

4

__

× _

_ =

__

__

, __

__

× _

_ =

__

__

, __

__

× _

_ =

__

__

, __

__

× _

_ =

__

__

, __

1 22

33

661

54

27

27

18

18

9954

54

54

54

54

AG61

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

5 T

est

AG339 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 14: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 5 T

est

Page 4

12

. For

nu

mb

ers

12

a–1

2e, se

lect

Tru

e o

r Fals

e f

or

each

state

men

t.

12a.

Th

e n

um

ber

45

is

a

mu

ltip

le o

f 9

. Tru

e

Fals

e

12b.

Th

e n

um

ber

6 is

a

mu

ltip

le o

f 1

2.

Tru

e

Fals

e

12c.

Th

e n

um

ber

56

is

a

mu

ltip

le o

f 8

. Tru

e

Fals

e

12d.

Th

e n

um

ber

4 is

a

facto

r of

8.

Tru

e

Fals

e

12e.

Th

e n

um

ber

36

is

a

facto

r of

9.

Tru

e

Fals

e

13

. W

hat

mu

ltip

le o

f 9

is

als

o a

facto

r of 

9?

14

. M

art

a u

ses

1 p

iece o

f p

ap

er

an

d 1

 pie

ce o

f ri

bb

on

to m

ake

kites.

Th

e p

ap

er

com

es

in p

acks

of

3 p

ieces

an

d t

he r

ibb

on

com

es

in p

acks

of

4 p

ieces.

Wh

at

is t

he least

nu

mb

er

of

kites

Mart

a c

an

make w

ith

ou

t an

y su

pp

lies

left

ove

r?

kites

15

. A

sto

re in

Rog

er’s

neig

hb

orh

ood

sells

boxe

s of

pen

cils

th

at

have

6 p

en

cils

in

each

box.

Rog

er

bou

gh

t se

vera

l b

oxe

s of

pen

cils

at

the s

tore

. W

hic

h c

ou

ld b

e t

he n

um

ber

of

pen

cils

he b

ou

gh

t? M

ark

all

that

ap

ply

.

A 9

B

1

8

C 2

0

D 2

4

E 3

4

F 4

2

16

. C

hoose

th

e w

ord

s th

at

make t

he s

en

ten

ce t

rue.

The n

um

ber

12

is

pri

me

com

posi

te b

eca

use

it

has

exa

ctly

more

th

an

tw

o f

act

ors

.

9

12

AG64

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

5 T

est

Ch

ap

ter

5 T

est

Pa

ge

3

9

. The n

um

ber

of

books

featu

red a

t th

e local lib

rary

is

show

n in

Bo

ok

s

Typ

e o

f B

oo

k

Nu

mb

er

of

Bo

ok

s

myste

ry32

nove

l16

non-fi

ction

12

Par

t A

The local lib

rary

is

host

ing a

book f

air

in A

ugust

that

featu

res

the m

yste

ry b

ooks.

All

auth

ors

dis

cuss

the s

am

e n

um

ber

of

mys

tery

books

and e

ach w

ill d

iscuss

more

than 1

mys

tery

book. H

ow

many

auth

ors

could

be f

eatu

red in t

he s

how

?

2

, 4

, 8

, o

r 16

au

tho

rs

Par

t B

The lib

rary

wants

to d

ispla

y all

the b

ooks

on s

helv

es

in r

ow

s.

Each r

ow

has

the s

am

e n

um

ber

of

books

and t

he s

am

e t

ype

of

books.

How

many

books

could

be in e

ach r

ow

? E

xpla

in

how

you f

ound y

our

answ

er.

1, 2

, o

r 4

bo

ok

s i

n e

ach

ro

w;

po

ss

ible

ex

pla

na

tio

n:

I li

ste

d t

he

fa

cto

rs o

f 3

2, 16

, a

nd

12

an

d t

he

n I

ide

nti

fie

d t

he

co

mm

on

fa

cto

rs o

f 3

2, 16

, a

nd

12

. Th

e

on

ly c

om

mo

n f

ac

tors

are

1, 2

, a

nd

4.

10

. B

eve

rly

was

skip

counting w

hile

jum

pin

g r

ope. She s

tart

ed t

o

count

by

9s.

She s

aid

9, 1

8, 2

7, 3

6, 4

5, and 5

4. W

hat

num

ber

will

she s

ay

next

?

11

. Jo

se w

rote

the n

um

ber

36. I

f his

rule

is a

dd 6

, what is

the fourt

h

num

ber

in J

ose

’s p

att

ern

? H

ow

can y

ou c

heck

your

answ

er?

54

; P

os

sib

le a

nsw

er:

Sta

rt w

ith

54

an

d s

ub

tra

ct

6 t

hre

e

tim

es

to

ge

t 3

6;

54

, 4

8, 4

2, 3

6.

t

he t

able

.

63

AG63

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

5 T

est

AG340 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 15: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

5 T

est

Pa

ge

6

21

. Eri

c h

ad

13

tile

s to

arr

an

ge in

a r

ecta

ng

ula

r d

esi

gn

for

the

top

of

a b

ox.

He d

rew

a m

od

el of

the r

ecta

ng

les

he c

ou

ld

make w

ith

th

e 1

3 t

iles.

113

Par

t A

How

does

Eri

c’s

dra

win

g s

how

th

at

13

is

a p

rim

e n

um

ber?

Po

ss

ible

ex

pla

na

tio

n:

Sin

ce

th

ere

is

on

ly o

ne

po

ss

ible

rec

tan

gle

th

at

ca

n b

e d

raw

n w

ith

13

til

es

th

is m

ea

ns

the

on

ly f

ac

tors

of

13

are

1 a

nd

its

elf

. Th

is m

ake

s 1

3 a

pri

me

nu

mb

er.

Par

t B

Su

pp

ose

Eri

c u

sed

12

tile

s to

make t

he r

ecta

ng

ula

r d

esi

gn

.

How

man

y d

iffe

ren

t re

cta

ng

les

cou

ld h

e m

ake w

ith

th

e

12

tile

s? W

rite

a lis

t or

dra

w a

pic

ture

to s

how

th

e n

um

ber

an

d d

imen

sion

s of

the r

ecta

ng

les

he c

ou

ld m

ake.

3;

1 t

ile

by

12

til

es

, 2

til

es

by

6 t

ile

s, a

nd

3 t

ile

s b

y

4 t

ile

s

Par

t C

Eri

c’s

fri

en

d D

aw

n s

aid

th

at

she c

ou

ld m

ake a

larg

er

nu

mb

er

of

diffe

ren

t d

esi

gn

s w

ith

15

tile

s th

an

with

Eri

c’s

13

tile

s. D

o

you

ag

ree w

ith

Daw

n?

Exp

lain

.

Ye

s;

Po

ss

ible

ex

pla

na

tio

n: T

he

nu

mb

er

15

is

co

mp

os

ite

, s

o t

he

re i

s m

ore

th

an

on

e f

ac

tor

pa

ir. T

his

me

an

s t

ha

t m

ore

re

cta

ng

les

ca

n b

e m

ad

e.

AG66

Ass

ess

me

nt

Gu

ide

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ton

Miff

lin H

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hing

Com

pany

Na

me

Ch

ap

ter

5 T

est

17

. G

us

wro

te t

he f

ollo

win

g r

iddle

: I am

a n

um

ber

betw

een 3

0 a

nd 6

0.

My

ones

dig

it is

thre

e less

than m

y te

ns

dig

it. I am

a p

rim

e n

um

ber.

Par

t A

What

num

ber

does

Gus’

rid

dle

desc

ribe?

Exp

lain

.

41

; P

os

sib

le e

xp

lan

ati

on

: Th

e d

igit

in

th

e t

en

s p

lac

e m

us

t

be

3, 4

, o

r 5

. S

o, th

e n

um

be

r m

us

t b

e 3

0, 4

1, o

r 5

2. S

inc

e

30

an

d 5

2 a

re e

ve

n, th

ey

are

div

isib

le b

y 2

. S

o, 3

0 a

nd

52

are

no

t p

rim

e. S

inc

e t

he

on

ly f

ac

tors

of

41

are

1 a

nd

41

, it

is p

rim

e.

Par

t B

Gus’

fri

end R

uss

guess

ed t

hat

his

rid

dle

was

about

the n

um

ber

47

.

Why

can’t 4

7 b

e t

he a

nsw

er

to G

us’

rid

dle

? E

xpla

in.

Po

ss

ible

ex

pla

na

tio

n: A

lth

ou

gh

47

is

pri

me

an

d b

etw

ee

n

30

an

d 6

0, th

e o

ne

s d

igit

is

th

ree

mo

re t

ha

n t

he

te

ns

dig

it.

Th

e o

ne

s d

igit

sh

ou

ld b

e t

hre

e l

es

s t

ha

n t

he

te

ns

dig

it.

18

. C

lass

ify

the n

um

bers

as

pri

me o

r com

posi

te.

31

4

2

89

9

3

Pri

me

Co

mp

osit

e

31, 89

42, 93

19

. A

idan m

akes

12

bra

cele

ts o

n M

onday.

He m

akes

8 m

ore

bra

cele

ts

each d

ay

from

Tuesd

ay

thro

ugh T

hurs

day.

How

many

bra

cele

ts

does

Aid

an m

ake o

n F

riday?

44

bra

cele

ts

20

. U

se t

he r

ule

to w

rite

the f

irst

fiv

e t

erm

s of

the p

att

ern

.

Rule

: A

dd 8

, su

btr

act

4

Fir

st t

erm

: 1

3

13

, 2

1, 17,

25

, 2

1

Ch

ap

ter

5 T

est

Pa

ge

5

AG65

Ass

ess

me

nt

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ide

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ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

5 T

est

AG341 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 16: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

6 T

est

Pa

ge

2

5

.C

ass

ie b

ought

3

_

8 p

ound o

f peanuts

and 1

_

4 p

ound o

f cash

ew

s

to m

ake m

ixed n

uts

. U

se t

he n

um

bers

to c

om

pare

the

am

ounts

of

peanuts

and c

ash

ew

s C

ass

ie b

ought.

1

4

3

8

6

. Elis

e is

doin

g h

er

hom

ew

ork

. She s

pends

1

_

3 h

our

on

math

hom

ew

ork

and 1

_

5 h

our

on s

pelli

ng w

ord

s.

For

num

bers

6a–6

c, se

lect

Yes

or

No t

o t

ell

wheth

er

each o

f th

e f

ollo

win

g is

a t

rue s

tate

ment.

6a.

15

is

a c

om

mon d

enom

inato

r of

1

_

3 a

nd 1

_

5 .

Y

es

N

o

6b.

The a

mount

of

tim

e s

pent

on m

ath

hom

ew

ork

can b

e r

ew

ritt

en a

s 1

__

15 .

Y

es

N

o

6c.

The a

mount

of

tim

e s

pent

on s

pelli

ng w

ord

s can

be r

ew

ritt

en a

s 3

__

15 .

Y

es

N

o

7

. In

the s

chool band, 6

__

24 o

f th

e m

em

bers

pla

y th

e t

rum

pet.

In s

imple

st f

orm

, w

hat

fraction o

f th

e b

and p

lays

the t

rum

pet?

of

the b

and

8

. W

hic

h p

air

s of

fractions

are

equiv

ale

nt?

Mark

all

that

apply

.

4

__

5

and

8

___

12

2

__

3

and 1

0

___

15

1

__

6 a

nd

3

___

18

2

__

7

and

6

___

20

9

. A

llie w

ork

ed f

or

1

_

2 h

our

on S

atu

rday

and 2

_

3 h

our

on S

unday.

What

are

four

com

mon d

enom

inato

rs f

or

the f

ractions?

Exp

lain

your

reaso

nin

g.

Po

ss

ible

an

sw

er:

6, 12

, 18

, 2

4;

po

ss

ible

ex

pla

na

tio

n:

the

co

mm

on

de

no

min

ato

rs a

re c

om

mo

n m

ult

iple

s o

f b

oth

2 a

nd

3.

3

______

>

1

______

8

4

1

_

4

AG68

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ess

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ide

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urt P

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Com

pany

Na

me

Ch

ap

ter

6 T

est

Chapte

r 6 T

est

Page 1

1

. For

nu

mb

ers

1a–1

d, te

ll w

heth

er

the f

raction

s are

eq

uiv

ale

nt

by

sele

ctin

g t

he c

orr

ect

sym

bol.

1a.

3

__

8

= ≠ 1

2

___

24

1c.

6

___

20

= ≠

3

__

_ 1

0

1b.

6

__

7

= ≠ 1

8

___

21

1d.

12

___

16

= ≠

3

__

5

2

. Th

e t

ab

le s

how

s th

e d

ista

nces

of

som

e p

laces

in

tow

n f

rom

th

e s

ch

ool.

Dis

tan

ce

fro

m S

ch

oo

l

Pla

ce

Dis

tan

ce

Lib

rary

3 _ 5 m

ile

Post O

ffic

e 1 _ 2 m

ile

Park

3 _ 4 m

ile

Tow

n H

all

8

__

10 m

ile

Fro

m least

to g

reate

st, ord

er

the location

s b

y

their

dis

tan

ce f

rom

sch

ool.

po

st

off

ice

lib

rary

pa

rk

tow

n h

all

3

. N

icole

tte n

eed

s 1

_

3 y

ard

of

fab

ric f

or

her

qu

ilt. W

rite

1

_

3 a

s an

eq

uiv

ale

nt

fraction

with

th

e d

en

om

inato

rs s

how

n.

2

______

6

3

______

9

4

______

1

2

6

______

1

8

4

. Ju

an

has

wre

nch

es

with

th

e s

izes

show

n b

elo

w.

Wri

te e

ach

fra

ction

in

th

e c

orr

ect

box.

1

__

8 in

.

5

__

8 in

.

8

___

16

in

.

9

___

16

in

.

15

___

16

in

.

5

___

16

in

.

less

th

an

1 __ 2 in

.e

qu

al to

1 __ 2 in

.g

rea

ter

tha

n 1

__ 2 in

.

1

_

8 , 5

__

16

8

__

16

5

_

8 , 9

__

16 , 15

__

16

AG67

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ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

6 T

est

AG342 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 17: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

6 T

est

Pa

ge

4

12

. Ed

gar, J

ack, an

d K

atie w

alk

ed

aro

un

d W

ood

bu

ry L

ake.

Ed

gar

walk

ed

3

_

5 o

f th

e d

ista

nce in

an

hou

r. J

ack w

alk

ed

3

_

4 o

f th

e d

ista

nce in

an

hou

r. E

llen

walk

ed

6

_

8 o

f th

e d

ista

nce

in a

n h

ou

r. C

om

pare

th

e d

ista

nces

walk

ed

by

each

pers

on

by

matc

hin

g t

he s

tate

men

ts t

o t

he c

orr

ect

sym

bol.

Each

sym

bol

may

be u

sed

more

th

an

on

ce o

r n

ot

at

all.

3

__

5

3

__

4

<

6

__

8

3

__

4

>

3

__

5

6

__

8

=

13

. O

livia

is

usi

ng

her

gra

nd

moth

er’s

ch

ili r

ecip

e.

Som

e o

f th

e in

gre

die

nts

for

the r

ecip

e a

re g

iven

.

Ch

ili R

ecip

e

1

_

2 c

up c

hopped o

nio

n 1

_

4 c

up d

iced g

reen p

epper

7

_

8 c

up tom

ato

sauce

3

_

4 c

up tom

ato

soup

5

_

6 c

up tom

ato

pure

e 3

_

6 c

up s

als

a

Par

t A

W

hic

h in

gre

die

nt

does

Oliv

ia u

se t

he g

reate

r am

ou

nt

of,

tom

ato

sau

ce o

r to

mato

sou

p?

Exp

lain

how

you

fou

nd

you

r an

swer.

tom

ato

sa

uc

e;

Po

ss

ible

an

sw

er:

I c

an

fin

d e

qu

iva

len

t

fra

cti

on

s w

ith

th

e s

am

e d

en

om

ina

tor

an

d c

om

pa

re t

he

nu

me

rato

rs:

3

_

4 =

6

_

8 .

Sin

ce

7 >

6, 7

_

8 >

6

_

8 .

Par

t B

Oliv

ia s

ays

th

at

she n

eed

s th

e s

am

e a

mou

nt

of

two d

iffe

ren

t

ing

red

ien

ts. Is

sh

e c

orr

ect?

Su

pp

ort

you

r an

swer

with

info

rmation

fro

m t

he p

rob

lem

.

Ye

s;

Po

ss

ible

an

sw

er:

1

_

2 a

nd

3

_

6 a

re e

qu

iva

len

t fr

ac

tio

ns

be

ca

us

e t

he

sim

ple

st

form

of

the

fra

cti

on

3

_

6 i

s 1

_

2 .

So

, O

liv

ia n

ee

ds

th

e s

am

e a

mo

un

t o

f ch

op

pe

d o

nio

n

an

d s

als

a.

AG70

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

6 T

est

Chapte

r 6 T

est

Page 3

10

. Lia

m w

ork

s in

a t

oy

store

th

at

sells

bag

s of

marb

les.

He p

uts

10

marb

les

in e

ach

bag

, an

d

4

__

10 o

f th

e m

arb

les

are

str

iped

.

Par

t A

If L

iam

makes

3 b

ag

s of

marb

les,

how

man

y st

rip

ed

marb

les

does

he n

eed

? S

how

how

you

can

ch

eck y

ou

r an

swer.

str

iped

marb

les

Po

ss

ible

an

sw

er:

Th

ere

are

10

ma

rble

s i

n e

ach

bag

,

so

th

ere

are

30

ma

rble

s i

n 3

bag

s. S

inc

e

4

__

10 a

nd

12

__

30 a

re

eq

uiv

ale

nt

fra

cti

on

s, th

e a

nsw

er

ch

eck

s.

Par

t B

Yest

erd

ay

Lia

m u

sed

20

str

iped

marb

les

to f

ill b

ag

s. H

ow

man

y n

on

-str

iped

marb

les

did

he u

se t

o f

ill t

he b

ag

s?

Exp

lain

you

r re

aso

nin

g.

non

-str

iped

marb

les

Po

ss

ible

an

sw

er:

Th

e f

rac

tio

ns

4

__

10 a

nd

20

__

50 a

re e

qu

iva

len

t,

so

Lia

m u

se

d 5

0 m

arb

les

in

all

to

fill

th

e b

ag

s. S

inc

e

20

of

the

se

we

re s

trip

ed

ma

rble

s, h

e u

se

d 5

0 −

20

= 3

0

no

n-s

trip

ed

ma

rble

s.

11

. In

Jaso

n’s

hom

ero

om

, 8

__

30 o

f th

e s

tud

en

ts lik

e s

occer

best

,

6

__

15 l

ike v

olle

yball

best

, an

d

5

__

15 l

ike b

ase

ball

best

. For

nu

mb

ers

11

a–1

1c, se

lect

Tru

e o

r Fals

e f

or

each

sta

tem

en

t.

11a.

In s

imp

lest

form

, 2

__

15 o

f th

e

Tru

e

Fals

e

stu

den

ts lik

e s

occer

best

.

11b.

In s

imp

lest

form

, 3

_

5 o

f th

e

Tru

e

Fals

e

stu

den

ts lik

e v

olle

yball

best

.

11c.

In s

imp

lest

form

, 1

_

3 o

f th

e

Tru

e

Fals

e

stu

den

ts lik

e b

ase

ball

best

.

12

30

AG69

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ess

me

nt

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ide

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ough

ton

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lin H

arco

urt P

ublis

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pany

Na

me

Ch

ap

ter

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est

AG343 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 18: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

6 T

est

Pa

ge

6

17

. H

en

ry h

as

two s

am

e-s

ize r

ecta

ng

les

div

ided

in

to t

he s

am

e

nu

mb

er

of

eq

ual p

art

s. O

ne r

ecta

ng

le h

as

2

_

5 o

f th

e p

art

s

shad

ed

, an

d t

he o

ther

has

1

_

2 o

f th

e p

art

s sh

ad

ed

.

Par

t A

Into

how

man

y p

art

s cou

ld e

ach

recta

ng

le b

e d

ivid

ed

? S

how

you

r w

ork

by

dra

win

g t

he p

art

s of

each

recta

ng

le.

P

os

sib

le a

nsw

er:

10

pa

rts

; s

am

ple

ske

tch

pro

vid

ed

.

Par

t B

Is

th

ere

more

th

an

on

e p

oss

ible

an

swer

to P

art

A?

If

so, d

id

you

fin

d t

he least

nu

mb

er

of

part

s in

to w

hic

h b

oth

recta

ng

les

cou

ld b

e d

ivid

ed

? E

xp la

in y

ou

r re

aso

nin

g.

Ye

s;

Po

ss

ible

an

sw

er:

Th

ere

are

ma

ny

po

ss

ible

an

sw

ers

.

Th

e r

ec

tan

gle

s c

ou

ld b

e d

ivid

ed

in

to 2

0 p

art

s, 3

0 p

art

s,

40

pa

rts

, a

nd

so

on

. D

ivid

ing

ea

ch

re

cta

ng

le i

nto

10

pa

rts

is t

he

le

as

t n

um

be

r p

os

sib

le b

ec

au

se

th

is i

s t

he

sm

all

es

t

nu

mb

er

tha

t b

oth

2 a

nd

5 d

ivid

e i

nto

eve

nly

.

18

. A

nn

ru

ns

2

_

5 m

ile. K

im r

un

s 3

_

4 m

ile. Th

ey

wan

t to

com

pare

how

far

they

each

ran

usi

ng

th

e b

en

ch

mark

1

_

2 . For

nu

mb

ers

18

a–1

8c, se

lect

the c

orr

ect

an

swers

to d

esc

rib

e h

ow

to

solv

e t

he p

rob

lem

.

18

a.

Com

pare

An

n’s

dis

tan

ce t

o t

he b

en

ch

mark

: 2

__

5

< > =

1

__

2 .

18

b.

Com

pare

Kim

’s d

ista

nce t

o t

he b

en

ch

mark

: 3

__

4

< > =

1

__

2 .

18

c.

An

n r

an

fart

her

than

the s

am

e d

ista

nce a

s

less

th

an

Kim

.

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ess

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nt

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ide

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ough

ton

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lin H

arco

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me

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ap

ter

6 T

est

Chapte

r 6 T

est

Page 5

14

.C

raig

is

tilin

g t

he f

loor

of

his

bath

room

. H

e w

an

ts 1

_

4 o

f th

e

tile

s to

be b

row

n. W

hat

oth

er

fraction

s can

rep

rese

nt

the

part

of

the t

iles

that

will

be b

row

n?

Sh

ad

e t

he m

od

els

to

show

you

r w

ork

.

1

__

4

5

___

20

4

____

16

15

. G

eorg

ina h

as

3

_

8 y

ard

of

blu

e f

ab

ric a

nd

1

_

4 y

ard

of

red

fab

ric. D

oes

she h

ave

th

e s

am

e a

mou

nt

of

blu

e a

nd

red

fab

ric?

Sh

ad

e t

he m

od

el to

sh

ow

how

you

fou

nd

you

r an

swer.

Exp

lain

you

r re

aso

nin

g.

blu

e f

ab

ric:

red

fab

ric:

No

; P

os

sib

le a

nsw

er:

Th

e m

od

els

do

no

t s

ho

w t

he

sa

me

pa

rt s

ha

de

d, s

o t

he

fra

cti

on

s a

re n

ot

eq

uiv

ale

nt.

Ge

org

ina

ha

s m

ore

blu

e f

ab

ric

th

an

re

d f

ab

ric

.

16

. M

art

in f

ills

an

aq

uari

um

4

_

5 f

ull

of

wate

r. F

ill in

each

box

with

a n

um

ber

from

th

e lis

t to

gen

era

te e

qu

ivale

nt

fraction

s

for

4

_

5 . N

ot

all

nu

mb

ers

will

be u

sed

.

4

__

5 =

8

______

1

0

=

12

______

15

=

20

______

2

5

Po

ss

ible

an

sw

er:

5

6

8

10

12

1

5

20

2

5

0 81 8

2 83 8

4 85 8

6 87 8

8 8

0 41 4

2 43 4

4 4

AG71

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

6 T

est

AG344 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 19: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 7 T

est

Page 2

4

.The s

chool carn

ival is

div

ided into

sections.

The d

unk t

anks

are

in

1

__

10 o

f th

e c

arn

ival.

Gam

es

are

in

4

__

10 o

f th

e c

arn

ival.

Stu

dent

exh

ibits

are

in

5

__

10 o

f th

e c

arn

ival.

Par

t A

Use

the m

odel.

What

fraction o

f th

e c

arn

ival is

dunk t

anks

and g

am

es?

11 10

1 101 10

1 101 10

1 101 10

1 101 10

1 10

Par

t B

How

much g

reate

r is

the p

art

of

the c

arn

ival w

ith s

tudent

exh

ibits

than g

am

es?

Exp

lain

how

the m

odel could

be u

sed

to f

ind t

he a

nsw

er.

1

__

10 g

rea

ter;

Po

ss

ible

ex

pla

na

tio

n:

I c

ou

ld s

ha

de

5 s

ec

tio

ns

to r

ep

res

en

t th

e s

ec

tio

n w

ith

th

e s

tud

en

t ex

hib

its

. Th

en

I c

ou

ld c

ros

s o

ut

4 s

ec

tio

ns

to

re

pre

se

nt

the

ga

me

s.

Th

is l

eave

s 1

se

cti

on

, s

o t

he

fra

cti

on

of

the

ca

rniv

al

wit

h

stu

de

nt

ex

hib

its

is

1

__

10 g

rea

ter

tha

n t

he

ga

me

s.

5

.Ilene is

makin

g s

mooth

ies.

The r

ecip

e c

alls

for

1 1

_

4 c

ups

of

stra

wberr

ies.

How

many

cups

of

stra

wberr

ies,

wri

tten a

s a

fraction g

reate

r th

an o

ne, are

use

d in t

he r

ecip

e?

cups

6

.D

illon’s

dad s

ells

golf b

alls

onlin

e. H

e s

ells

4

_

5 o

f th

e g

olf b

alls

.

Sele

ct

a w

ay

4

_

5 c

an b

e w

ritt

en a

s a s

um

of

fractions.

Mark

all

that

apply

.

A

1

__

5 +

1

__

5 +

2

__

5

D 2

__

5 +

2

__

5

B

1

__

5 +

1

__

5 +

1

__

5

E 1

__

5 +

1

__

5 +

1

__

5 +

1

__

5

C

2

__

5 +

2

__

5 +

1

__

5

F 1

__

5 +

1

__

5 +

1

__

5 +

1

__

5 +

1

__

5

5

_

4

The f

raction o

f th

e c

arn

ival w

ith d

unk t

anks

and g

am

es

is

5

__

10 o

r 1

_

2

.

AG74

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

7 T

est

Ch

ap

ter

7 T

est

Pa

ge

1

1

. B

en u

ses

3

__

12 p

ound o

f st

raw

berr

ies

and

2

__

12 p

ound o

f

blu

eberr

ies

to m

ake jam

.

How

many

pounds

of

berr

ies

does

Ben u

se t

o m

ake jam

?

pound

2

. To g

et

the c

orr

ect

colo

r, J

ohan m

ixed 3

1

_

4 q

uart

s of

white p

ain

t, 1

2

_

4 q

uart

s of

blu

e p

ain

t, a

nd 2

3

_

4 q

uart

s of

gre

en p

ain

t. H

ow

much p

ain

t did

Johan m

ake?

Johan m

ade

quart

s of

pain

t.

3

. N

ick h

ad 3

1

_

4 b

ott

les

of

wate

r fo

r his

wre

stlin

g p

ractice.

When h

e f

inis

hed h

e h

ad 1

2

_

4 b

ott

les

of

wate

r le

ft. H

e s

aid

he u

sed 2

1

_

4 b

ott

les

of

wate

r duri

ng t

he p

ractice. D

o y

ou

agre

e?

Exp

lain

.

7 2

_

4

5

__

12

No

; P

os

sib

le e

xp

lan

ati

on

: W

he

n I

su

btr

ac

t 1

2

_

4 f

rom

3 1

_

4 ,

the

an

sw

er

is n

ot

2 1

_

4 . T

he

mix

ed

nu

mb

er

3 1

_

4 n

ee

ds

to

be

reg

rou

pe

d a

s a

mix

ed

nu

mb

er

wit

h a

fra

cti

on

gre

ate

r

tha

n 1

. 3

1

_

4 =

2 5

_

4 ,

so

2 5

_

4 −

1 2

_

4 =

1 3

_

4 .

AG73

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

7 T

est

AG345 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 20: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 7 T

est

Page 4

10

. For

num

bers

10

a–1

0e, se

lect

Yes

or

No t

o s

how

if

the s

um

or

diffe

rence is

corr

ect.

10a.

3

__

5 +

1

__

5 =

4

__

5

Y

es

N

o

10b.

6

___

12 −

2

___

12 =

8

___

12

Y

es

N

o

10c.

5

___

10 +

2

___

10 =

7

___

10

Y

es

N

o

10d.

6

__

8 −

4

__

8 =

2

__

8

Y

es

N

o

10e.

3

__

9 +

2

__

9 =

5

___

18

Y

es

N

o

11

. SuLee h

as

8 1

_

4 y

ard

s of

blu

e f

abri

c a

nd 4

2

_

4 y

ard

s of

gre

en f

abri

c.

How

much m

ore

blu

e f

abri

c d

oes

SuLee h

ave

than g

reen f

abri

c?

yard

s m

ore

blu

e f

abri

c

12

. A

idan is

makin

g c

innam

on a

pple

s. H

e n

eeds

3 1

_

4 t

easp

oons

of

cin

nam

on. H

e n

eeds

1 2

_

4 t

easp

oons

of

nutm

eg.

Par

t A

Aid

an incorr

ectly

subtr

acte

d t

he t

wo m

ixed n

um

bers

to f

ind

how

much m

ore

cin

nam

on t

han n

utm

eg h

e n

eeds.

His

work

is s

how

n b

elo

w.

3 1

__

4

− 1

2

__

4 =

12

___ 4

− 4

__

4

= 8

__

4

= 2

Why

is A

idan’s

work

incorr

ect?

Po

ss

ible

ex

pla

na

tio

n: A

ide

n c

ha

ng

ed

on

ly t

he

wh

ole

nu

mb

er

pa

rts

of

the

mix

ed

nu

mb

ers

to

fo

urt

hs

. H

e f

org

ot

to a

dd

th

e f

rac

tio

n p

art

of

the

mix

ed

nu

mb

er.

Par

t B

How

much m

ore

cin

nam

on t

han n

utm

eg w

ill h

e n

eed?

Show

your

work

.

3 1

_

4 −

1 2

_

4 =

13

__

4

− 6

_

4 =

7

_

4 =

1 3

_

4

Aid

an

wil

l n

ee

d 1

3

_

4 t

ea

sp

oo

ns

mo

re o

f c

inn

am

on

th

an

nu

tme

g.

3 3

_

4

AG76

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

7 T

est

Ch

ap

ter

7 T

est

Pa

ge

3

7

. B

ets

y bro

ught

6

__

12 p

ound o

f tr

ail

mix

on a

cam

pin

g t

rip. She a

te

4

__

12 p

ound o

f th

e t

rail

mix

. H

ow

much t

rail

mix

is

left

?

pound

8

. In

a s

urv

ey,

5

__

10 o

f th

e s

tudents

chose

a d

og a

nd

1

__

10 c

hose

a f

ish

as

their

favo

rite

pet. W

hat

fraction s

how

s th

e s

tudents

who

chose

a d

og o

r a f

ish a

s th

eir

favo

rite

pet?

Par

t A

Shade t

he m

odel to

show

your

answ

er.

11 10

1 101 10

1 101 10

1 101 10

1 101 10

1 10

6

__

10

of

the s

tudents

chose

a d

og o

r fish

.

Par

t B

How

are

the n

um

era

tor

and d

enom

inato

r of

your

answ

er

rela

ted t

o t

he m

odel?

Exp

lain

.

Po

ss

ible

ex

pla

na

tio

n: T

he

nu

me

rato

r s

ho

ws

th

e

nu

mb

er

of

pa

rts

sh

ad

ed

. Th

e d

en

om

ina

tor

sh

ow

s t

he

siz

e o

f th

e p

art

s.

9

.M

atc

h t

he e

quation w

ith t

he p

ropert

y use

d.

3

__

5 +

( 2

__

5 +

1

__

5 ) =

( 3

__

5 +

2

__

5 ) +

1

__

5

( 4

1

__

8 +

1

__

8 ) +

2 7

_

8 =

4 1

_

8 +

( 1

__

8 +

2 7

__

8 )

3

1

__

5 +

( 5 +

1 3

__

5 ) =

3 1

__

5 +

( 1 3

__

5 +

5 )

( 1 4

__

10 +

1 1

__

10 ) +

3 6

__

10 =

( 1 1

__

10 +

1 4

__

10 ) +

3 6

__

10

2

__

12 o

r 1

_

6

Com

muta

tive

Pro

pert

y

Ass

ocia

tive

Pro

pert

y

AG75

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

7 T

est

AG346 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 21: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 7 T

est

Page 6

Par

t A

How

many

hours

did

Hecto

r ru

n d

uri

ng w

eek 1

? E

xpla

in h

ow

you

found y

our

answ

er.

5 9

__

12 o

r 5

3

_

4 h

ou

rs;

Po

ss

ible

ex

pla

na

tio

n:

Fir

st,

I a

dd

th

e w

ho

le

nu

mb

ers

, 1

+ 2

+ 1

= 4

ho

urs

. Th

en

, I

ad

d t

he

fra

cti

on

s b

y

co

mb

inin

g

6

__

12 +

6

__

12 i

nto

on

e w

ho

le. S

o, 4

+ 1

+ 9

__

12 =

5 9

__

12 .

Par

t B

Hecto

r w

ants

to r

un 1

8 h

ours

by

his

fir

st t

rack m

eet. S

uppose

he r

uns

the s

am

e n

um

ber

of

hours

in w

eek 2

and w

eek 3

of

his

train

ing a

s in

week 1

. W

ill h

e r

un e

nough h

ours

to m

eet

his

goal?

Exp

lain

.

No

; P

os

sib

le e

xp

lan

ati

on

: If

I a

dd

th

e t

ime

s f

rom

th

e

3 w

ee

ks

, o

r 5

9

__

12 +

5 9

__

12 +

5 9

__

12 ,

the

su

m i

s o

nly

15

27

__

12 o

r

15

+ 1

2

__

12 +

12

__

12 +

3

__

12 o

r 17

1

_

4 h

ou

rs. T

his

is

le

ss

th

an

18

ho

urs

.

19

. H

arr

ison a

te

3

__

12 o

f a s

ush

i ro

ll. M

iles

ate

5

__

12 o

f th

e s

am

e s

ush

i ro

ll.

How

much m

ore

of

the s

ush

i ro

ll did

Mile

s eat

than H

arr

ison?

2

__

12 o

r 1

_

6

of

the s

ush

i ro

ll

20

. For

num

bers

20

a–2

0d, choose

Tru

e o

r Fals

e f

or

each s

ente

nce.

20a.

6 7

__

1

0 +

2 1

__

1

0 i

s equal to

4 8

__

1

0 .

Tru

e

Fals

e

20b.

1 2

_ 8 +

3 7

_ 8 i

s equal to

4 1

_ 8 .

Tru

e

Fals

e

20c.

1 3

_ 5 +

2 4

_ 5 i

s equal to

4 2

_ 5 .

Tru

e

Fals

e

20d.

9 5

_ 6 −

3 2

_ 6 i

s equal to

6 3

_ 6 .

Tru

e

Fals

e

21

. W

inte

r bre

ak s

tart

s in

3 4

_

7 w

eeks.

Wri

te t

he m

ixed n

um

ber

as

a

fraction g

reate

r th

an o

ne.

3 4

_

7 =

25

__

7

18

. H

ecto

r has

3 w

eeks

befo

re h

is f

irst

tra

ck m

eet. H

e r

ecord

ed t

he a

mount

of

tim

e

he s

pent

runnin

g d

uri

ng w

eek 1

of

his

tra

inin

g. H

e s

pent

1 6

__

12 h

ours

runnin

g o

n

Tuesd

ay,

2 6

__

12 h

ours

runnin

g o

n W

ednesd

ay,

and 1

9

__

12 h

ours

runnin

g o

n T

hurs

day.

AG78

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

7 T

est

Ch

ap

ter

7 T

est

Pa

ge

5

13

. Ja

ck h

as

two jars

of

wax.

One jar

is 1

_

6 f

ull.

The o

ther

jar

is 4

_

6 f

ull.

1 64 6

Use

the f

ractions

to w

rite

an e

quation t

o f

ind t

he a

mount

of

wax

Jack h

as.

14

. Elle

n n

eeds

5

_

8 y

ard

of

frin

ge f

or

her

scarf

. Lin

g n

eeds

2

_

8 y

ard

of

frin

ge f

or

her

scarf

. H

ow

much m

ore

fri

nge d

oes

Elle

n n

eed

than L

ing?

Shade t

he m

odel to

show

your

answ

er.

Elle

n n

eeds

yard

more

fri

nge t

han L

ing.

15

. M

indi pla

nte

d b

eans

in

4

__

10 o

f her

gard

en a

nd p

eas

in

5

__

10 o

f her

gard

en. W

hat

fraction o

f th

e g

ard

en h

as

beans

or

peas?

Min

di’s

gard

en h

as

beans

or

peas.

16

. D

raw

a lin

e t

o s

how

the m

ixed n

um

ber

and f

raction t

hat

have

the s

am

e v

alu

e.

17

. R

oyc

e w

alk

s 3

_

4 m

ile t

o s

chool and 3

_

4 m

ile h

om

e e

ach d

ay.

It w

ill t

ake R

oyc

e

2 3 4

days

to w

alk

3 m

iles.

9

__

10

3

_

8

1 3

__

4

5

1

__

6

3 2

__

5

3

1

__

4

13

___ 4

16

___ 5

31

___ 4

17

___ 6

1

__

6

3

__

6

4

__

6

5

__

6

1

_

6

+

4

_

6

=

5

_

6

AG77

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

7 T

est

AG347 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 22: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

8 T

est

Pa

ge

2

4

. H

annah is

bakin

g 3

batc

hes

of 

health b

ars

. She n

eeds

1 2

_

3 c

ups

of

caro

b c

hip

s fo

r each b

atc

h o

f bars

.

Par

t A

Hannah c

om

ple

ted t

he m

ultip

lication b

elo

w a

nd s

aid

she

needed 6

cups

of

caro

b c

hip

s fo

r 3

batc

hes

of

bars

. W

hat

is

Hannah’s

err

or?

3 ×

1 2

__

3 =

3 ×

6

__

3 =

18

___ 3

= 6

Po

ss

ible

ex

pla

na

tio

n:

Ha

nn

ah

did

no

t w

rite

th

e m

ixe

d

nu

mb

er,

1 2

_

3 ,

as

a f

rac

tio

n c

orr

ec

tly. 1

2

_

3 i

s n

ot

eq

ua

l to

6

_

3 .

Par

t B

What

is t

he c

orr

ect

num

ber

of

cups

Hannah n

eeds

for

3 b

atc

hes

of

bars

? E

xpla

in h

ow

you f

ound y

our

answ

er.

5 c

up

s; p

ossib

le e

xp

lan

ati

on

: fi

rst

I w

rote

1 2

_

3 a

s a

fracti

on

. 1 2

_

3 5

3

_

3 1

2

_

3 5

5

_

3 ;

then

, I m

ult

iplied

3 3

5

_

3 5

15

__

3 5

5.

5

. W

hic

h f

raction is

a m

ultip

le o

f 1

__

8 ?

Mark

all

that

apply

.

A

3

__

8

C

2

__

8

E

8

___

10

B

8

___

12

D

4

__

8

F

8

__

8

6

. B

o r

ecord

ed a

bask

etb

all

gam

e t

hat

last

ed 2

1

_

2 h

ours

.

Bo w

atc

hed t

he g

am

e 4

tim

es

last

week. H

ow

many

hours

did

Bo s

pend w

atc

hin

g t

he g

am

e?

Show

your

work

.

10

ho

urs

; 2

1

_

2 ×

4 =

5

_

2 ×

4 =

20

__

2

= 1

0

7

. R

udi is

com

pari

ng s

hark

length

s. S

he

reads

that

a s

andbar

shark

is

4 1

_

2 f

eet

long. A

thre

sher

shark

is

3 t

imes

as

long a

s a s

andbar

shark

. C

om

ple

te

the m

odel.

Then f

ind t

he length

of

a

thre

sher

shark

.

A t

hre

sher

shark

is

feet

long.

13

1

_

2

San

db

ar S

har

k

Th

resh

er

Sh

ark

41 2

41 2

41 2

41 2

AG80

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

8 T

est

Chapte

r 8 T

est

Page 1

1

. W

hat

are

th

e n

ext

fou

r m

ultip

les

of

1

__

7 ?

2

_

7 , 3

_

7 , 4

_

7 , 5

_

7

2

. S

ara

h is

makin

g 4

batc

hes

of

gra

nola

bars

. S

he a

dd

s

7

_

8 c

up

pean

uts

to e

ach

batc

h. H

er

measu

rin

g c

up

hold

s 1

_

8 c

up

. H

ow

man

y tim

es

mu

st S

ara

h m

easu

re 1

_

8 c

up

of

pean

uts

to h

ave

en

ou

gh

for

the g

ran

ola

bars

?

Sh

ad

e t

he m

od

els

to s

how

you

r an

swer.

Sara

h m

ust

measu

re 1

_

8 c

up

t

imes.

3

. A

lice w

alk

s 6

__

10 m

ile e

very

day.

How

man

y m

iles

does

she w

alk

in

5 d

ays

?

mile

s

28

3

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG79

Ch

ap

ter

8 T

est

AG348 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 23: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

8 T

est

Pa

ge

4

12

. O

leg

mad

e a

fra

ction

nu

mb

er

line t

o h

elp

him

fin

d 4

× 2

__

5 .

1 52 5

3 54 5

5 56 5

7 58 5

9 510 5

0

Sele

ct

a w

ay

to w

rite

4 ×

2

__

5 a

s th

e p

rod

uct

of

a w

hole

nu

mb

er

an

d a

un

it f

raction

.

4 ×

2

__

5 =

6 ×

1

__

5

2 ×

4

__

5

8 ×

1

__

5

13

. M

alik

wan

ted

to g

ive 1

_

5 o

f h

is b

ag

of

ballo

on

s to

each

of

3 o

f

his

fri

en

ds.

How

man

y of

his

ballo

on

s w

ill h

e g

ive a

way?

3

_

5

14

. S

ele

ct

the c

orr

ect

pro

du

ct

for

the e

qu

ation

.

48 88 12

12 824 8

4 ×

6

__

8 =

24

__

8

4

× 3

__

8 =

12

__

8

AG82

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

8 T

est

Chapte

r 8 T

est

Page 3

8.

Ph

il m

ad

e a

nu

mb

er

line s

how

ing

th

e m

ultip

les

of

3

_

6 .

1 62 6

3 64 6

5 66 6

7 68 6

9 610 6

11 60

Th

e p

rod

uct

2 ×

3

__

6 is

show

n b

y th

e f

raction

o

n t

he n

um

ber

line.

6

_

6

8 +

8 3

__

8

6 3

__

8

3 ×

9.

Tara

has

soft

ball

pra

ctice T

uesd

ay,

Wed

nesd

ay,

Th

urs

day,

an

d S

un

day.

Each

pra

ctice is

1 1 _ 3

hou

rs. Tara

says

sh

e w

ill

have

pra

ctice f

or

3 h

ou

rs t

his

week.

Par

t A

With

ou

t m

ultip

lyin

g, exp

lain

how

you

kn

ow

Tara

is

incorr

ect.

Po

ss

ible

ex

pla

na

tio

n: T

ara

ne

ed

s t

o fi

nd

4 3

1 1

_

3 .

If s

he

es

tim

ate

s 4

3 1

ho

ur,

sh

e fi

nd

s t

ha

t p

rac

tic

e i

s a

t le

as

t

4 h

ou

rs;

4 i

s g

rea

ter

tha

n 3

, s

o T

ara

is

in

co

rre

ct.

Par

t B

How

lon

g w

ill T

ara

have

soft

ball

pra

ctice t

his

week?

Wri

te

you

r an

swer

as

a m

ixed

nu

mb

er. S

how

you

r w

ork

.

5 1

_

3 h

ou

rs;

4 ×

1 1

_

3 =

4 ×

4

_

3 =

16

__

3

= 5

1

_

3

10

.Look a

t th

e n

um

ber

line. W

rite

th

e

mis

sin

g f

raction

s.

11

.Tre

vor‘s

pet

goat

weig

hed 6

3

_

8 p

ounds

when it

was

born

. B

y age 3

, th

e g

oat

weig

hed 8

tim

es

as

much.

Fill

each b

ox

with a

num

ber

or

sym

bol fr

om

the lis

t

to s

how

how

to f

ind t

he w

eig

ht

of

Tre

vor‘s

goat

at

age 3

. N

ot

all

num

bers

and s

ymbols

may

be u

sed.

weig

ht

=

6 3

_

8

1 52 5

3 54 5

5 56 5

7 5

01

28 5

9 510 5

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG81

Ch

ap

ter

8 T

est

AG349 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 24: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

8 T

est

Pa

ge

6

18

. M

rs. M

cG

lash

an

is

makin

g p

ain

t fo

r h

er

cla

ss. S

he n

eed

s 3

_

4 c

up

of

warm

wate

r fo

r each

batc

h.

Par

t A

Mrs

. M

cG

lash

an

has

a 1

-cu

p m

easu

re t

hat

has

no o

ther

mark

ing

s. C

an

sh

e m

ake 8

batc

hes

of

pain

t u

sin

g o

nly

th

e

1-c

up

measu

re?

Desc

rib

e t

wo w

ays

you

can

fin

d t

he a

nsw

er.

Ye

s;

po

ss

ible

ex

pla

na

tio

n:

sh

e n

ee

ds

8 ×

3

_

4 c

up

s o

f w

ate

r.

I c

an

us

e a

nu

mb

er

lin

e t

o m

ake

8 j

um

ps

of

3

_

4 .

Th

e l

as

t ju

mp

en

ds

at

24

__

4 o

r 6

. I

co

uld

als

o l

ist

the

firs

t 8

mu

ltip

les

of

3

_

4 :

3

_

4 ,

6

_

4 ,

9

_

4 ,

12

__

4 , 1

5

__

4 , 1

8

__

4 , 2

1

__

4 , 2

4

__

4 . T

he

six

th m

ult

iple

is 2

4

__

4 , w

hic

h i

s 6

wh

ole

cu

ps

. S

he

ca

n u

se

th

e 1

-cu

p

me

as

ure

6 t

ime

s t

o m

ake

8 b

atc

he

s.

Par

t B

Th

e p

ain

t re

cip

e a

lso c

alls

for

1

_

4 c

up

of

food

colo

rin

g. Tyl

er 

says

Mrs

. M

cG

lash

an

will

als

o n

eed

6 c

up

s of

food

colo

rin

g. D

o y

ou

ag

ree o

r d

isag

ree?

Exp

lain

.

I d

isag

ree

; p

os

sib

le e

xp

lan

ati

on

: 8

× 1

_

4 =

8

_

4 o

r 2

.

Sh

e n

ee

ds

2 c

up

s o

f fo

od

co

lori

ng

, n

ot

6.

19

. S

an

di b

uys

som

e f

ab

ric t

o m

ake a

qu

ilt. S

he n

eed

s 1

_

6 y

ard

of

each

typ

e o

f fa

bri

c. S

he h

as

7 d

iffe

ren

t ty

pes

of

fab

rics

to m

ake

her

desi

gn

. U

se t

he f

ollo

win

g e

qu

ation

. W

rite

th

e n

um

ber

in t

he

box

to m

ake t

he s

tate

men

t tr

ue.

7

__

6 =

7

× 1

__

6

20

. M

rs. Tokala

use

s 9

__

10 o

f a c

an

of

coff

ee b

ean

s each

week.

How

 man

y can

s of

coff

ee b

ean

s d

oes

Mrs

. Tokala

use

in

6 w

eeks?

Wri

te y

ou

r an

swer

two d

iffe

ren

t w

ays

.

Mrs

. Tokala

use

s o

r c

an

s of

coff

ee b

ean

s.

21

. A

lma is

makin

g 3

batc

hes

of to

rtill

as.

Each

batc

h n

eeds

3

_

4 c

up o

f

wate

r. S

he o

nly

has

a 1

_

4 -c

up m

easu

re. H

ow

many

tim

es

must

Alm

a

measu

re 1

_

4 c

up o

f w

ate

r to

have

enough for

all

of th

e tort

illas?

tim

es

54

__

10

5 4

_

_

10

9

AG84

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

8 T

est

Chapte

r 8 T

est

Page 5

15

. Th

e len

gth

s of

diffe

ren

t ty

pes

of

snakes

at

a z

oo a

re s

how

n in

th

e t

ab

le.

Sn

ak

e’s

Na

me

Typ

e o

f S

na

ke

Le

ng

th

Sherm

an

Kenyan S

and B

oa

1 1

__

4 feet

Thom

as

Ball

Pyth

on

3 3

__

4 feet

Sam

Blo

od P

yth

on

6 1

__

4 feet

For

nu

mb

ers

15

a–1

5d

, se

lect

Tru

e o

r Fals

e f

or

the s

tate

men

t.

15a.

Th

om

as

is 3

tim

es

as

lon

g a

s S

herm

an

.

15b.

Th

om

as

is 2

tim

es

as

lon

g a

s S

herm

an

.

15c.

Sam

is

5 t

imes

as

lon

g a

s S

herm

an

.

15d.

Sam

is

2 t

imes

as

lon

g a

s Th

om

as.

16

. V

iole

t u

sed

1 3

_

4 g

allo

ns

of

pain

t on

her

kitch

en

walls

. S

he u

sed

4 t

imes

as

mu

ch

pain

t fo

r h

er

livin

g r

oom

an

d b

ed

room

walls

. H

ow

mu

ch

pain

t d

id V

iole

t u

se f

or

the liv

ing

 room

an

d

bed

room

walls

?

gallo

ns

17

. M

ad

die

mad

e a

batc

h o

f p

op

corn

balls

. S

he u

sed

1 1

_

4 c

up

s

of

rais

ins.

Sh

e u

sed

5 t

imes

as

mu

ch

pop

corn

.

Par

t A

Dra

w a

mod

el to

sh

ow

th

e p

rob

lem

.

po

pc

orn

1 1

_

4

1 1

_

4

1 1

_

4

1 1

_

4

1 1

_

4

rais

ins

1 1

_

4

Par

t B

Use

you

r m

od

el to

wri

te a

n e

qu

ation

. Th

en

solv

e t

he e

qu

ation

to f

ind

th

e a

mou

nt

of

pop

corn

Mad

die

need

s.

r =

5 ×

1 1

_

4 =

5 ×

5

_

4 =

25

__

4

= 6

1

_

4

So

, M

ad

die

ne

ed

s 6

1

_

4 c

up

s o

f p

op

co

rn.

Tru

e

Fals

e

Tru

e

Fals

e

Tru

e

Fals

e

Tru

e

Fals

e

7

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG83

Ch

ap

ter

8 T

est

AG350 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 25: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 9 T

est

Page 2

4

. A

fter

selli

ng s

om

e lem

onade a

nd c

ookie

s, V

ivia

n a

nd h

er

bro

ther

Gil

had 7

-one d

olla

r bill

s, 8

quart

ers

, and 6

dim

es.

They

agre

ed t

o d

ivid

e t

he m

oney

equally

.

Par

t A

What

is t

he t

ota

l am

ount

of

money

that

Viv

ian

and G

il earn

ed?

Exp

lain

.

$9

.60

; p

os

sib

le e

xp

lan

ati

on

: I

co

un

ted

th

e o

ne

-do

lla

r

bil

ls t

o g

et

$7.

00

. Th

en

I c

ou

nte

d o

n 8

qu

art

ers

:

$7.

25

, $

7.5

0, $

7.7

5, $

8.0

0, $

8.2

5, $

8.5

0, $

8.7

5, $

9.0

0.

Th

en

I c

ou

nte

d o

n 6

 dim

es

: $

9.1

0, $

9.2

0, $

9.3

0,

$9

.40

, $

9.5

0, $

9.6

0.

Par

t B

Gil

said

that

he a

nd V

ivia

n c

annot

get

equal am

ounts

of

money

because

7 o

ne-d

olla

r bill

s cannot

be d

ivid

ed e

venly

.

Do y

ou a

gre

e w

ith G

il? E

xpla

in.

No

; p

os

sib

le e

xp

lan

ati

on

: fi

rst,

th

ey

sh

are

th

e

qu

art

ers

an

d d

ime

s a

nd

ge

t 4

qu

art

ers

an

d 3

dim

es

ea

ch

. Th

en

th

ey

ca

n c

ha

ng

e t

he

7 d

oll

ar

bil

ls i

nto

qu

art

ers

. 1

do

lla

r =

4 q

ua

rte

rs, s

o 7

do

lla

rs =

7 ×

4

or

28

 qu

art

ers

. Th

ey

ca

n e

ach

ge

t 14

qu

art

ers

. S

o,

ea

ch

pe

rso

n h

as

a t

ota

l o

f 18

qu

art

ers

an

d 3

dim

es

.

$4

.50

+ $

0.3

0 =

$4

.80

.

5

. Tri

sha w

alk

ed

9

__

10 o

f a m

ile t

o s

chool.

Shade t

he m

odel.

Then w

rite

the d

ecim

al to

show

how

far

Tri

sha w

alk

ed.

Tri

sha w

alk

ed

mile

to s

chool.

6

. C

ora

paid

6

5

___

10

0 o

f a d

olla

r to

buy

a p

ost

card

fro

m G

rand

Canyo

n N

ational park

in A

rizo

na. W

hat

is

65

___

10

0 w

ritt

en

as

a d

ecim

al in

term

s of

dolla

rs?

0.6

5

7

. C

haz

needs

$4

.77

for

new

batt

eri

es.

He h

as

$2

.80

. H

e n

eeds

more

to h

ave

enough m

oney

for

the b

att

eri

es.

0.9

$1.

97

AG86

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

9 T

est

Ch

ap

ter

9 T

est

Pa

ge

1

1.

Sele

ct

a n

um

ber

show

n b

y th

e m

odel.

Mark

all

that

apply

.

2.

Rya

n s

old

a jig

saw

puzz

le a

t a y

ard

sale

for

thre

e d

olla

rs

and f

ive c

ents

. W

hic

h n

am

es

this

money

am

ount

in t

erm

s

of 

dolla

rs?

Mark

all

that

apply

.

A

35

.0

D

3.0

5

B

3

5

____

10

0

E

3.5

0

C

$3

.05

F

3

05

____

10

3

. For

num

bers

3a–3

e, se

lect

Tru

e o

r Fals

e f

or

the s

tate

ment.

3a.

0.2

is

equiv

ale

nt

to

2

____

10

0 .

Tru

e

Fals

e

3b.

1

___

10 is

equiv

ale

nt

to 0

.10

. Tru

e

Fals

e

3c.

70

____

10

0 is

equiv

ale

nt

to

7

___

10 .

Tru

e

Fals

e

3d.

0.6

0 is

equiv

ale

nt

to

6

____

10

0 .

Tru

e

Fals

e

3e.

0.3

is

equiv

ale

nt

to 0

.30

. Tru

e

Fals

e

6.1 60

___

10

16

___

10

1 6

__

_ 1

0

16

1.6

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG85

Ch

ap

ter

9 T

est

AG351 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 26: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 9 T

est

Page 4

12

. Je

n is

makin

g a

recip

e f

or

pancakes.

A r

ecip

e c

alls

for

4

__

10 k

ilogra

m f

lour

and

12

___

10

0 k

ilogra

m s

ugar.

Par

t A

If J

en m

easu

res

corr

ectly

and c

om

bin

es

the t

wo a

mounts

,

how

much f

lour

and s

ugar

will

she h

ave

? S

how

your

work

.

52

__

_

10

0 k

ilo

gra

m;

4

__

10 =

40

__

_

10

0 ;

40

__

_

10

0 +

12

__

_

10

0 =

52

__

_

10

0

Par

t B

How

can y

ou w

rite

your

answ

er

as

a d

ecim

al?

0.5

2 k

ilo

gra

m

13

. The U

.S. Senate

in W

ash

ingto

n D

.C. has

10

0 e

lecte

d

mem

bers

. Last

year, 3

0 s

enato

rs r

an f

or

re-e

lection.

What

decim

al is

equiv

ale

nt

to

30

___

10

0 ?

0.3

or

0.3

0

14

. C

om

ple

te t

he t

able

.

$ B

ills

an

d C

oin

sM

on

ey

Am

ou

nt

Fra

cti

on

or

Mix

ed

Nu

mb

er

De

cim

al

4 p

ennie

s$

0.0

4

4

____

10

0

0.0

4

Po

ss

ible

an

sw

er:

2 q

ua

rte

rs$

0.5

0 5

__

10 o

r 5

0

__

_

10

0

0.5

0

Po

ss

ible

an

sw

er:

6 d

ime

s$

0.6

0 6

0

____

10

0 o

r 6

__

_ 1

0

0.6

0

2 $

1 b

ills

8 p

ennie

s$

2.0

82

8

__

_

10

0

2.0

8

15

. The p

oin

t on t

he n

um

ber

line s

how

s th

e n

um

ber

of

mile

s

Em

ily r

ides

her

bik

e. W

rite

the d

ecim

al th

at

corr

ectly

nam

es

the p

oin

t. 2.0

2

3.0

5 10

2.7

AG88

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

9 T

est

Ch

ap

ter

9 T

est

Pa

ge

3

8

. M

att

hew

walk

s 4

__

10 m

ile t

o Z

ach’s

house

. A

fra

ction in

hundre

dth

s equal to

4

__

10 i

s .

9

. W

rite

a d

ecim

al in

tenth

s th

at

is le

ss t

han

3.8

1 b

ut

grea

ter

than 3

.0.

Po

ss

ible

an

sw

ers

: 3

.8, 3

.7, 3

.6, 3

.5, 3

.4, 3

.3, 3

.2, o

r 3

.1

10

. M

aya

and t

hre

e o

f her

frie

nds

have

thre

e q

uart

ers

and o

ne

nic

kel to

spend.

Par

t A

If M

aya

and h

er

frie

nds

share

the m

oney

equally

, how

much

will

each p

ers

on g

et?

Exp

lain

how

you f

ound y

our

answ

er.

$0

.20

; p

os

sib

le e

xp

lan

ati

on

: th

ree

qu

art

ers

an

d o

ne

nic

ke

l a

re e

qu

al

to $

0.8

0. I

ca

n t

hin

k o

f $

0.8

0 a

s 8

dim

es

. Wh

en

I d

ivid

e 8

dim

es

eq

ua

lly, e

ach

pe

rso

n

wil

l re

ce

ive

2 d

ime

s o

r $

0.2

0.

Par

t B

Maya

says

that

each p

ers

on w

ill r

eceiv

e

2

__

10 o

f th

e m

oney.

Do y

ou a

gre

e?

Exp

lain

.

No

; p

os

sib

le e

xp

lan

ati

on

: e

ach

pe

rso

n r

ec

eiv

es

$0

.20

,

wh

ich

is

2

__

10 o

f a

do

lla

r, n

ot

2

__

10 o

f th

e m

on

ey. S

inc

e

the

re a

re 4

pe

op

le w

ho

sh

are

th

e m

on

ey

eq

ua

lly, e

ach

pe

rso

n w

ill

rec

eiv

e 1

_

4 o

f th

e m

on

ey.

11

. Shade t

he m

odel to

show

1 6

8

___

10

0 . Then w

rite

the m

ixed n

um

ber

in d

ecim

al fo

rm.

1.6

8

40

__

_

10

0

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG87

Ch

ap

ter

9 T

est

AG352 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 27: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 9 T

est

Page 6

20

. C

harl

ie’s

model sh

ow

s th

e n

um

ber

of

hours

he e

xerc

ised

yest

erd

ay.

Whic

h f

raction, m

ixed n

um

ber, o

r decim

al

does

the m

odel sh

ow

? M

ark

all

that

apply

.

A

1.3

3

D

1

3

____

10

0

B

1 3

3

____

10

0

E

13

.3

C

13

3

F

1 3

3

___

10

21

. G

ene li

ves

0.6

mile

s fr

om

sch

ool.

Kate

live

s 0.5

1 m

iles

from

sch

ool.

Par

t A

Who liv

es

clo

ser

to s

chool?

Exp

lain

.

Ka

te;

po

ss

ible

ex

pla

na

tio

n:

0.6

is

6 t

en

ths

an

d 0

.51

is

5 t

en

ths

1 h

un

dre

dth

. C

om

pa

re t

he

te

nth

s, s

inc

e

6 t

en

ths

> 5

te

nth

s, G

en

e l

ive

s f

art

he

r fr

om

th

e s

ch

oo

l,

so

Ka

te l

ive

s c

los

er.

Par

t B

How

can y

ou w

rite

each d

ista

nce a

s a f

raction?

Exp

lain

.

Po

ss

ible

an

sw

ers

: 0

.6 =

6

__

10 a

nd

0.5

1 =

5

1

__

_

10

0 ;

po

ss

ible

ex

pla

na

tio

n:

0.6

is

th

e s

am

e a

s 6

te

nth

s a

nd

0.5

1 i

s t

he

sa

me

as

51

hu

nd

red

ths

.

Par

t C

Gene is

walk

ing t

o s

chool to

get

a b

ook h

e f

org

ot. T

hen h

e is

walk

ing t

o K

ate

’s h

ouse

. W

ill h

e w

alk

more

than a

mile

or

less

than a

mile

? E

xpla

in.

Mo

re t

ha

n a

mil

e;

po

ss

ible

ex

pla

na

tio

n:

6

__

10 >

5

__

10 o

r 1

_

2

an

d

51

__

_

10

0 >

50

__

_

10

0 o

r 1

_

2 .

So

6

__

10 +

5

1

__

_

10

0 >

1

_

2 +

1

_

2 .

Sin

ce

1

_

2 +

1

_

2 =

1,

yo

u k

no

w t

ha

t 6

__

10 +

5

1

__

_

10

0 >

1.

AG90

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

9 T

est

Ch

ap

ter

9 T

est

Pa

ge

5

1.3

5

16

. Ju

lian is

build

ing a

bir

dhouse

. The h

ouse

is

21

___

10

0 m

ete

r hig

h

without

the r

oof. T

he r

oof

is

3

__

10 m

ete

r hig

h. W

hat

is t

he h

eig

ht

of

the b

irdhouse

with t

he r

oof?

Choose

a n

um

ber

from

each

colu

mn t

o c

om

ple

te a

n e

quation t

o s

olv

e.

3

___

10

+

21

____

10

0 =

31

____

10

0

30

____

10

0

3

____

10

0

+

21

___

10

12

____

10

0

21

____

10

0

=

51

___

10

51

____

10

0

24

____

10

0

mete

r hig

h.

17

. Ja

ck d

rew

a m

odel to

repre

sent

the n

um

ber

of

mile

s

from

his

hom

e t

o t

he p

ark

. W

hat

decim

al re

pre

sents

the p

art

of

the m

odel th

at

is s

haded?

repre

sents

18

. For

num

bers

18

a–1

8f, s

ele

ct

Tru

e o

r Fals

e f

or

the inequalit

y.

18a. 0

.2 >

0.2

5

Tru

e

Fals

e

18b.

0.3

2 <

0.6

5

Tru

e

Fals

e

18c.

4.8

> 4

.08

Tru

e

Fals

e

18d. 0

.13

= 0

.31

Tru

e

Fals

e

18e. $

4.1

6 >

$0

.16

Tru

e

Fals

e

18f.

3.4

< 3

.40

Tru

e

Fals

e

19

. Fill

in t

he n

um

bers

to f

ind t

he s

um

.

2

___

10 +

3

0

______

10

0

=

5

______

10

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG89

Ch

ap

ter

9 T

est

AG353 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 28: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 10 T

est

Page 2

4

. W

rite

the w

ord

that

desc

ribes

the p

art

of

Fig

ure

A

wri

tten b

elo

w.

ray acute

angle

right

angle

line

line s

egm

ent

___

A

G

GB

F

‹ ___ ›

EF

AG

D

_ ›

GC

5

. W

hat

term

best

desc

ribes

the f

igure

show

n b

elo

w?

pa

rall

el

lin

es

6

. D

ebbie

leave

s fo

r her

trip

to S

an D

iego o

n t

he

13

th d

ay

of

Febru

ary

. Sin

ce F

ebru

ary

is

the

2nd m

onth

, D

ebbie

wro

te t

he d

ate

as

show

n.

Debbie

says

all

the n

um

bers

she w

rote

have

lin

e s

ymm

etr

y.

Is s

he c

orr

ect?

Exp

lain

your

thin

kin

g.

No

; p

os

sib

le e

xp

lan

ati

on

: D

eb

bie

is

in

co

rre

ct.

Th

e n

um

be

r 2

do

es

no

t h

ave

a l

ine

of

sy

mm

etr

y

be

ca

us

e i

f it

we

re c

ut

ou

t, t

he

re w

ou

ld b

e n

o w

ay

to

fold

it

in h

alf

so

th

at

the

tw

o p

art

s m

atc

he

d e

xa

ctl

y.

G

A

C

E

B

F

D

Figu

re A

lin

e s

eg

me

nt

lin

e

ray

ac

ute

an

gle

rig

ht

an

gle

AG92

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

10

Te

st

Ch

ap

ter

10

Te

stP

ag

e 1

1

. Tenle

y m

akes

stain

ed g

lass

win

dow

s. S

he u

sed t

his

pie

ce o

f

stain

ed g

lass

in o

ne o

f th

e w

indow

s. H

ow

many

right

angle

s

does

this

pie

ce o

f st

ain

ed g

lass

appear

to h

ave

?

2

. W

rite

the lett

er

of

the t

riangle

under

its

corr

ect

cla

ssific

ation.

A

BC

DE

F

Acute

Tri

angle

Obtu

se T

riangle

Rig

ht

Tri

angle

B, F

A, E

C, D

3

. Sele

ct

the a

ngle

s th

at

identify

an o

btu

se t

riangle

.

Mark

all

that

apply

.

A

right, a

cute

, acute

B

obtu

se, ri

ght, a

cute

C

acute

, obtu

se, acute

D

acute

, acute

, acute

rig

ht

angle

s0

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG91

Ch

ap

ter

10

Te

st

AG354 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 29: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 10 T

est

Page 4

11

.M

atc

h e

ach f

igure

with t

he c

orr

ect

num

ber

of

lines

of

sym

metr

y it h

as.

0 lin

es

of

sym

metr

y

1 lin

e o

f

sym

metr

y

2 lin

es

of

sym

metr

y

More

th

an

2 lin

es

of

sym

metr

y

AB

CD

12

. M

art

ha u

sed c

ounte

rs t

o m

ake t

his

patt

ern

.

Use

the c

ounte

r sh

ow

n t

o d

raw

the m

issi

ng p

art

.

13

. M

arg

are

t dre

w t

he f

igure

belo

w. D

raw

a lin

e o

f

sym

metr

y on M

arg

are

t’s

figure

.

14

. W

rite

the w

ord

or

word

s th

at

best

desc

ribe t

his

fig

ure

.

15

.H

ow

many

acute

angle

s does

an a

cute

tri

angle

have

?

An a

cute

tri

angle

has

acute

angle

s.3

lin

e s

eg

me

nt

AG94

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

10

Te

st

Ch

ap

ter

10

Te

stP

ag

e 3

7

. Je

ssic

a m

ade a

pennant

that

looks

like a

tri

angle

. H

ow

can

you c

lass

ify

the t

riangle

base

d u

pon its

angle

s?

The t

riangle

is

a(n

) t

riangle

.

8

. C

hoose

the labels

to m

ake a

tru

e s

tate

ment.

GH

IJ AB

is

para

llel to

AB

CD

GH

.

9

. C

lass

ify

the f

igure

. Sele

ct

all

that

apply

.

A

quadri

late

ral

D

rhom

bus

B

recta

ngle

E

tr

apezo

id

C

para

llelo

gra

m

F

square

10

. A

lison h

as

a s

ticker

that

looks

like a

quadri

late

ral th

at

has

2 p

air

s of

para

llel si

des

and n

o r

ight

angle

s. H

ow

can y

ou c

lass

ify

the f

igure

?

The q

uadri

late

ral is

a

.p

ara

lle

log

ram

rig

ht

A CF

HJ

DBI

GE

‹ ___ ›

‹ ___ ›

‹ ___ ›

‹ ___ ›

‹ ___ ›

‹ __ ›

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG93

Ch

ap

ter

10

Te

st

AG355 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 30: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 10 T

est

Page 6

20

. Ja

red f

ound t

he n

um

ber

of

lines

of

sym

metr

y fo

r th

e f

igure

.

How

many

lines

of

sym

metr

y does

it h

ave

?

lin

es

of

sym

metr

y2

Fig

ure

1

2

3

4

21

. Jo

n d

rew

the p

att

ern

show

n.

Par

t A

Desc

ribe J

on's

patt

ern

.

Po

ss

ible

de

sc

rip

tio

n:

ea

ch

fig

ure

ha

s a

n a

dd

itio

na

l

row

of

cir

cle

s. T

he

nu

mb

er

of

cir

cle

s i

s e

qu

al

to t

he

fig

ure

nu

mb

er.

Par

t B

Wri

te a

rule

usi

ng n

um

bers

to f

ind t

he n

um

ber

of

cir

cle

s in

any

figure

in h

is p

att

ern

.

Po

ss

ible

ru

le:

ad

d a

ll o

f th

e n

um

be

rs t

og

eth

er

tha

t a

re

les

s t

ha

n o

r e

qu

al

to t

he

fig

ure

nu

mb

er.

Par

t C

Dra

w F

igure

5.

AG96

Ass

ess

me

nt

Gu

ide

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ough

ton

Miff

lin H

arco

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ublis

hing

Com

pany

Na

me

Ch

ap

ter

10

Te

st

Ch

ap

ter

10

Te

stP

ag

e 5

16

. Lis

a d

rew

a f

igure

with t

wo s

ides

perp

endic

ula

r.

Wri

te t

he p

air

of

perp

endic

ula

r si

des.

What

figure

is

it?

TSV

U

__

ST

is

pe

rpe

nd

icu

lar

to _

__

TU

; th

e fi

gu

re i

s a

tra

pe

zo

id.

17

. C

ircle

the lett

er

that

does

not

have

lin

e s

ymm

etr

y.

18

. A

ddis

on m

ade t

his

patt

ern

by

shadin

g s

quare

s.

Dra

w t

he n

ext

fig

ure

in t

he p

att

ern

.

19

. Leah d

rew

Fig

ure

1 a

nd S

ean d

rew

Fig

ure

2.

Par

t A

Leah s

ays

both

fig

ure

s are

square

s. D

o y

ou a

gre

e

with L

eah?

Support

your

answ

er.

No

. P

ossib

le a

nsw

er:

A s

qu

are

has o

pp

osit

e s

ides t

hat

are

para

llel, f

ou

r sid

es e

qu

al in

len

gth

, an

d f

ou

r ri

gh

t

an

gle

s. F

igu

re 1

do

es n

ot

have f

ou

r sid

es e

qu

al in

len

gth

.

Par

t B

Sean s

ays

both

fig

ure

s are

recta

ngle

s. D

o y

ou a

gre

e w

ith

Sean?

Support

your

answ

er.

Ye

s. P

os

sib

le a

nsw

er:

A r

ec

tan

gle

ha

s t

wo

pa

irs

of

op

po

sit

e s

ide

s t

ha

t a

re p

ara

lle

l a

nd

eq

ua

l in

le

ng

th

an

d 4

rig

ht

an

gle

s. B

oth

fig

ure

s h

ave

op

po

sit

e s

ide

s

tha

t a

re p

ara

lle

l, o

pp

os

ite

sid

es

th

at

are

eq

ua

l in

len

gth

, a

nd

4 r

igh

t a

ng

les

.

Fig

ure

2Fig

ure

1

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG95

Ch

ap

ter

10

Te

st

AG356 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 31: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 11 T

est

Page 2

5

. N

ina d

rew

the f

igure

show

n. For

5a–5

c, se

lect

Yes

or

No

to t

ell

wheth

er

the s

tate

ment

is t

rue.

5a.

The m

easu

re o

f a s

traig

ht

angle

is

36

0°.

Y

es

N

o

5b.

To f

ind t

he m

easu

re o

f x,

Nin

a

can s

ubtr

act

10

5° f

rom

36

0°.

Y

es

N

o

5c.

The m

easu

re o

f x

is 7

5°.

Y

es

N

o

6

. K

ayl

a d

rew

this

fig

ure

with a

pro

tracto

r.

Par

t A

Wri

te a

n e

quation t

hat

can b

e u

sed t

o f

ind t

he m

∠X

ST .

90

° + 6

5° +

x =

18

Par

t B

What

is t

he m

easu

re o

f ∠

XST ?

Desc

ribe h

ow

you s

olv

ed t

he

equation a

nd h

ow

you c

an c

heck y

our

answ

er.

25

°; p

os

sib

le a

nsw

er:

I f

ou

nd

th

e s

um

of

90

° an

d 6

5°.

Th

en

I s

ub

tra

cte

d t

his

su

m f

rom

18

0° t

o fi

nd

th

e v

alu

e

of x.

I c

an

ch

eck

th

e a

nsw

er

by r

ep

lac

ing

x w

ith

25

an

d

ch

eck

ing

th

at

it m

ake

s a

tru

e e

qu

ati

on

; 9

0 +

65

+

25

= 1

80

.

7

. U

se a

pro

tracto

r to

fin

d t

he m

easu

re o

f th

e a

ngle

.

The a

ngle

measu

res

.

105°

x 65°

9

RS

TXW

?

45

°

AG98

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

11

Te

st

Ch

ap

ter

11

Te

stP

ag

e 1

1

.A

n a

ngle

repre

sents

1

__

10 o

f a c

ircle

. U

se t

he n

um

bers

to s

how

how

to f

ind t

he m

easu

re o

f th

e a

ngle

in d

egre

es.

1

___

10 =

1

×

36

___________

1

0 ×

3

6

=

36

_______

The a

ngle

measu

re is

.

2

. M

atc

h t

he m

easu

re o

f each ∠

R w

ith t

he m

easu

re o

f ∠

S t

hat

form

s a r

ight

angle

.

∠R

∠S

25

°65

°

75

°

44

°39

°

51

°58

°

46

°

38

°52

°

3

. A

leja

ndro

dre

w a

n a

cute

angle

. W

hic

h c

ould

be t

he m

easu

re

of

the a

ngle

he d

rew

? M

ark

all

that

apply

.

A

60

° C

9

B

12

° D

9

4

. D

raw

an a

ngle

that

repre

sents

a 3

_

4 t

urn

clo

ckw

ise

on t

he c

ircle

. P

os

sib

le a

nsw

er

is s

ho

wn

.

101

24

30

36

36

0

36

°

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG97

Ch

ap

ter

11

Te

st

AG357 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 32: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 11 T

est

Page 4

12

. C

hoose

the w

ord

and a

ngle

measu

re t

o c

om

ple

te a

tru

e s

tate

ment

about

∠M

NO

.

∠M

NO

is

a(n

)

acute

obtu

se

right

angle

that

has

a m

easu

re o

f

30

°

12

15

.

13

. R

achael began w

alk

ing h

er

dog a

t 3

:00

P.M

. She s

topped

at

3:3

0 P.M

. H

ow

many

degre

es

did

the m

inute

hand t

urn

duri

ng R

achael’s

walk

? E

xpla

in h

ow

you f

ound y

our

answ

er.

891011

12

76

5432

1

Sta

rt

891011

12

76

5432

1

Sto

p

18

0°;

po

ss

ible

ex

pla

na

tio

n:

I s

ha

de

d t

he

pa

rt o

f th

e

clo

ck

th

at

the

min

ute

ha

nd

tu

rne

d f

rom

3:0

0 t

o 3

:30

an

d f

ou

nd

th

at

it w

as

a 1

_

2 t

urn

. Th

en

I f

ou

nd

th

at

1

_

2 =

18

0

__

_

36

0

to fi

nd

th

e n

um

be

r o

f d

eg

ree

s t

he

min

ute

ha

nd

tu

rne

d.

14

. A

n a

ngle

measu

res

51

°. Thro

ugh w

hat

fraction o

f a c

ircle

does

the a

ngle

turn

?

_____ o

f a c

ircle

51

36

0

MN

O

AG100

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ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

11

Te

st

Ch

ap

ter

11

Te

stP

ag

e 3

8

.Paula

dre

w t

his

angle

on t

he c

ircle

. W

hic

h d

esc

ribes

the

angle

? M

ark

all

that

apply

.

A

1

__

2 t

urn

C

clo

ckw

ise

B

1

__

4 t

urn

D

counte

rclo

ckw

ise

9

. M

arl

a h

as

a p

iece o

f fe

lt t

hat

is 1

_

3 o

f a larg

e c

ircle

.

She c

uts

the p

iece o

f fe

lt in h

alf f

rom

the c

ente

r poin

t

of

the c

ircle

. W

hat

is t

he a

ngle

measu

re o

f each p

art

?

The a

ngle

measu

res

.

10

. U

se a

pro

tracto

r to

fin

d t

he m

easu

re o

f each a

ngle

.

Wri

te e

ach a

ngle

and its

measu

re in a

box

ord

ere

d b

y th

e

measu

re o

f th

e a

ngle

s fr

om

least

to g

reate

st.

C

AB

Angle

: B

Measu

re: 8

Angle

: A

Measu

re: 13

Angle

: C

Measu

re: 15

11

. U

se t

he n

um

bers

and s

ymbols

to w

rite

an e

quation t

hat

can

be u

sed t

o f

ind t

he m

easu

re o

f th

e u

nknow

n a

ngle

.

90

° 52

° x

90

+ 5

2 +

x =

18

0

What

is t

he m

easu

re o

f th

e u

nknow

n a

ngle

?

52 x

=+

×

90

18

03

60 38

°

60

°

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG99

Ch

ap

ter

11

Te

st

AG358 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 33: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 11 T

est

Page 6

18

. Tw

o a

ngle

s, ∠

M a

nd ∠

N, fo

rm a

str

aig

ht

angle

.

∠M

measu

res

50

°. F

or

num

bers

18

a–1

8c, se

lect

Tru

e o

r Fals

e f

or

the s

tate

ment.

18a. ∠

N is

an a

cute

angle

.

Tru

e

Fals

e

18b. T

he e

quation 1

80

° − 5

0° =

x °

can

be u

sed t

o f

ind t

he m

easu

re o

f ∠

N.

Tru

e

Fals

e

18c. The m

easu

re o

f ∠

N is

13

0°.

Tru

e

Fals

e

19

. A

cir

cle

is

div

ided into

part

s. W

hic

h s

um

could

repre

sent

the

angle

measu

res

that

make u

p t

he c

ircle

? M

ark

all

that

apply

.

A

12

0° +

12

0° +

12

B

47

° + 6

1° +

78

° + 8

3° +

10

C

15

° + 4

0° +

53

° + 6

2° +

90

° + 1

00

°

D

20

° + 3

0° +

60

° + 7

20

. U

se a

pro

tracto

r to

fin

d t

he m

easu

res

of

the u

nknow

n a

ngle

s.

YX

Ch

est

nu

t S

t

Map

le S

t

m∠

X =

m∠

Y =

What

do y

ou n

otice a

bout

the m

easu

res

of

the u

nknow

n

angle

s? Is

this

what

you w

ould

have

exp

ecte

d?

Exp

lain

your

reaso

nin

g.

Po

ss

ible

an

sw

er:

Th

e m

ea

su

res

of

the

an

gle

s h

ave

a

su

m o

f 18

0°.

Eve

n t

ho

ug

h t

he

an

gle

s a

re d

ivid

ed

by

a l

arg

e b

ar

tha

t re

pre

se

nts

Ma

ple

Str

ee

t, t

his

ma

ke

s

se

ns

e b

ec

au

se

th

e a

ng

les

ma

ke

up

a s

tra

igh

t a

ng

le.

35

°14

AG102

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

11

Te

st

Ch

ap

ter

11

Te

stP

ag

e 5

15

. W

rite

the lett

er

for

each a

ngle

measu

re in t

he c

orr

ect

box.

A 2

B 7

C 1

11

° D

1

80

° E

17

F9

acute

A, B

obtu

se

C, E

right

F

stra

ight

D

16

. For

num

bers

16

a–1

6b, se

lect

the f

raction t

hat

makes

a t

rue s

tate

ment

about

the f

igure

.

16a.

The a

ngle

in F

igure

1 r

epre

sents

a

1

__

4

1

__

2

3

__

4

turn

.

16b.

The a

ngle

in F

igure

2 r

epre

sents

a

1

__

4

1

__

2

3

__

4

turn

.

17

. Je

ffre

y cuts

a r

ecta

ngle

out

of

a p

iece o

f sc

rap p

aper

as

show

n. H

e w

ants

to c

alc

ula

te t

he a

ngle

measu

re

of

the p

iece t

hat

is left

ove

r.

Par

t A

Dra

w a

bar

model to

repre

sent

the p

roble

m.

180

° 220

°

X

Par

t B

Wri

te a

nd s

olv

e a

n e

quation t

o f

ind x

.

m∠ABD

+ m

∠CBD

= m

∠ABC

;

18

0 +

x =

22

0; x

= 4

0

The a

ngle

measu

res

.

Figu

re 1

Figu

re 2

220°

XA

C

BD

Po

ss

ible

dra

win

g i

s s

ho

wn

.

40

°

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG101

Ch

ap

ter

11

Te

st

AG359 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 34: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

12

Te

stP

ag

e 2

5

. Leah h

as

cheerl

eadin

g p

ractice e

ach d

ay

aft

er

school.

The d

ata

show

s th

e length

s of

tim

e L

eah h

ad p

ractice

for

2 w

eeks.

Par

t A

Make a

tally

table

and lin

e p

lot

to s

how

the d

ata

.

Tim

e a

t C

heerl

ead

ing

Pra

ctic

e

Tim

e

(in

ho

urs

)Ta

lly

1 3 2 3 1

777

777

7777

Tim

e a

t C

he

erl

ea

din

gP

rac

tic

e (

in h

ou

rs)

1 32 3

1

Par

t B

Exp

lain

how

you u

sed t

he t

ally

table

to label th

e n

um

bers

and p

lot

the X

s.

Po

ss

ible

ex

pla

na

tio

n:

firs

t, I

ord

ere

d t

he

da

ta f

rom

lea

st

to g

rea

tes

t ti

me

to

co

mp

lete

th

e t

ally

ta

ble

. Th

en

,

I la

be

led

th

e f

rac

tio

n l

en

gth

s o

n t

he

nu

mb

er

lin

e f

rom

the

le

as

t va

lue

to

th

e g

rea

tes

t va

lue

. F

ina

lly, I

plo

tte

d

an

X f

or

ea

ch

da

ta p

oin

t.

Par

t C

What

is t

he d

iffe

rence b

etw

een t

he longest

tim

e

and s

hort

est

tim

e L

eah s

pent

at

cheerl

eadin

g p

ractice?

hour

6

. Sele

ct

the c

orr

ect

word

to c

om

ple

te t

he s

ente

nce.

Theo n

eeds

a d

rop o

f fo

od c

olo

ring f

or

a r

ecip

e.

A d

rop o

f fo

od c

olo

ring is

about

1 liter

1 m

illili

ter

1 m

ete

r

1 m

illim

ete

r

.

Tim

e a

t C

heerl

ead

ing

Pra

cti

ce (

in h

ou

rs)

1

_

3 ,

1

_

3 ,

2

_

3 ,

2

_

3 ,

2

_

3 ,

1,

1,

1,

1

_

3 ,

1

2

_

3

AG104

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

12

Te

st

Chapte

r 12 T

est

Page 1

1

. M

rs. D

eM

arc

o w

an

ts t

o e

stim

ate

th

e h

eig

ht

of

her

gara

ge

door. S

ele

ct

the b

est

ben

ch

mark

for

her

to u

se.

A

the w

idth

of

a p

ap

erc

lip

B

the len

gth

of

a b

ase

ball

bat

C

the h

eig

ht

of

a lic

en

se p

late

D

how

far

she c

an

walk

in

20

min

ute

s

2

. Fre

d h

as

been

takin

g g

uitar

less

on

s fo

r 1

00

weeks.

Nan

cy 

has

been

takin

g g

uitar

less

on

s fo

r 3

years

.

Com

pare

th

e t

imes

spen

t ta

kin

g g

uitar

less

on

s.

Com

ple

te t

he s

en

ten

ce.

has

been

takin

g less

on

s fo

r

lon

ger

than

.

3

. S

ele

ct

the m

easu

res

that

are

eq

ual.

Mark

all

that

ap

ply

.

A

12

feet

C

30

feet

E

36

feet

B

10

yard

s D

1

20

in

ch

es

F

36

0 in

ch

es

4

. M

icki b

ou

gh

t 4

gallo

ns

of

ap

ple

cid

er. M

icki sa

ys s

he b

ou

gh

t

1 q

uart

of

ap

ple

cid

er. E

xpla

in M

icki’s

err

or. T

hen

fin

d t

he

corr

ect

nu

mb

er

of

qu

art

s of

ap

ple

cid

er.

Po

ss

ible

ex

pla

na

tio

n:

Mic

ki

div

ide

d t

he

nu

mb

er

of 

ga

llo

ns

by

4. T

he

re a

re 4

qu

art

s i

n e

ach

ga

llo

n. S

he

sh

ou

ld h

ave

mu

ltip

lie

d t

he

nu

mb

er

of

ga

llo

ns

by

4;

4 ×

4 =

16

, th

ere

are

16

qu

art

s o

f c

ide

r.

Na

ncy

56

we

ek

s

Fre

d

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG103

Ch

ap

ter

12

Te

st

AG360 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 35: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

12

Te

stP

ag

e 4

11

. Th

e t

ab

le s

how

s th

e d

ista

nces

som

e s

tud

en

ts w

alk

ed

to s

ch

ool.

Com

ple

te t

he lin

e p

lot

to s

how

th

e d

ata

.

Dis

tanc

e St

uden

ts w

alke

d to

sch

ool (

in m

iles)

77

77

7777

7777

1 52 5

3 54 5

5 5

How

man

y st

ud

en

ts w

alk

less

th

an

1 m

ile t

o s

ch

ool?

stu

den

ts

12

. A

n o

cean

aq

uari

um

is

hom

e t

o a

gra

y w

hale

th

at

weig

hs

35

 ton

s. H

ow

man

y p

ou

nd

s d

oes

the g

ray

wh

ale

weig

h? p

ou

nd

s

13

. Lau

ren

bou

gh

t tw

o ite

ms

to m

ake d

inn

er. S

he s

ays

th

e

diffe

ren

ce in

mass

betw

een

th

e ite

ms

she b

ou

gh

t is

4,0

00

gra

ms.

Wh

ich

tw

o ite

ms

did

Lau

ren

bu

y?

A

turk

ey:

6 k

ilog

ram

s

D

b

ag

of

sweet

pota

toes:

2 k

ilog

ram

s

B

cra

te o

f ap

ple

s:

E b

ag

of

stu

ffin

g:

8 k

ilog

ram

s 1

kilo

gra

m

C

bag

of

ears

of

corn

: 3

kilo

gra

ms

14

. W

rite

th

e e

qu

ivale

nt

measu

rem

en

ts in

each

colu

mn

.

2,0

00

mill

imete

rs

20

0 c

en

tim

ete

rs 2

0 c

en

tim

ete

rs

25

____

10

0 m

ete

r

0.2

00

mete

r

0

.25

mete

r

20

0

_____

1,0

00 m

ete

r

25

0 m

illim

ete

rs

20

decim

ete

rs

2 m

ete

rs

2,0

00

mil

lim

ete

rs

20

0 c

en

tim

ete

rs

20

de

cim

ete

rs

25

cen

tim

ete

rs

25

___

10

0 m

ete

r

0.2

5 m

ete

r

25

0 m

illi

me

ters

20

0 m

illim

ete

rs

20

0

_____

1,0

00 m

ete

rs

0.2

00

me

ters

20

ce

nti

me

ters

Dis

tan

ce S

tud

en

ts

walk

ed

to

sch

oo

l

(in

miles)

1

_

5 , 2

_

5 , 3

_

5 , 3

_

5 , 5

_

5 , 3

_

5 ,

2

_

5 , 4

_

5 , 3

_

5 , 1

_

5 , 4

_

5 , 4

_

5

11

70

,00

0

AG106

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

12

Te

st

Chapte

r 12 T

est

Page 3

7

.W

rite

th

e s

ymb

ol th

at

com

pare

s th

e w

eig

hts

corr

ectly.

,

5

.

20

ou

nces

10

pou

nd

s

8,0

00

pou

nd

s 4

ton

s

8

. S

hir

lee b

ou

gh

t 2

yard

s of

fab

ric. S

he w

ill u

se it

to m

ake

new

pill

ow

cove

rs. H

ow

man

y in

ch

es

of

fab

ric d

id s

he b

uy?

in

ch

es

9

. A

larg

e b

ag o

f rice

weig

hs

12 p

ounds

4 o

unce

s. A

fter

Malc

olm

use

s so

me r

ice in

a ca

ssero

le, t

he b

ag w

eig

hs

8 p

ounds

11 o

unce

s. W

hat is

the w

eig

ht of th

e r

ice M

alc

olm

use

d in

the

cass

ero

le? W

rite

the n

um

bers

to s

how

the c

orr

ect

subtr

act

ion.

39

10

11

14

19

20

11

20

12

pou

nd

s

4 o

un

ces

− 8

pou

nd

s 1

1 o

un

ces

3 p

ou

nd

s 9

ou

nces

10

. R

ach

el m

ad

e t

his

tab

le t

o r

ela

te t

wo u

nits

of

tim

e.

Par

t A

Lis

t th

e n

um

ber

pair

s fo

r th

e t

ab

le. Th

en

desc

rib

e

the r

ela

tion

ship

betw

een

th

e n

um

bers

in

each

pair

.

1 a

nd

52

, 2

an

d 1

04

, 3

an

d 1

56

, 4

an

d 2

08

; p

os

sib

le

de

sc

rip

tio

n:

the

se

co

nd

nu

mb

er

in e

ach

pa

ir i

s fi

fty

tw

o

tim

es

as

gre

at

as

th

e fi

rs

t n

um

be

r in

ea

ch

pa

ir.

Par

t B

Lab

el th

e c

olu

mn

s of

the t

ab

le. Exp

lain

you

r an

swer.

La

be

ls a

re g

ive

n;

po

ss

ible

ex

pla

na

tio

n:

ye

ars

an

d w

ee

ks

are

bo

th u

nit

s o

f ti

me

. Th

e t

ab

le s

ho

ws

a p

att

ern

fo

r th

e

rela

tio

ns

hip

be

twe

en

ye

ars

an

d w

ee

ks

sin

ce

th

e n

um

be

r o

f

we

ek

s i

s 5

2 t

ime

s t

he

nu

mb

er

of

ye

ars

.

152

2104

3156

4208

72

Ye

ars

We

ek

s

<=

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG105

Ch

ap

ter

12

Te

st

AG361 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 36: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 12 T

est

Page 6

18

.D

raw

lin

es

to m

atc

h e

quiv

ale

nt

tim

e inte

rvals

.

1

_

2 d

ay

5 d

ays

6 d

ays

10 d

ays

91 d

ays

120 h

ours

13 w

eeks

144 h

ours

720 m

inute

s240 h

ours

19

.A

n a

uth

or

signed b

ooks

at

a b

ook s

tore

sta

rtin

g a

t 1

1:0

0 A.M.

She s

igned b

ooks

for

1 h

our

25

min

ute

s. D

raw

a t

ime lin

e t

o

show

the e

nd t

ime.

12

:00

no

on

1:0

0 P

.M.

11:0

0 A

.M.

The a

uth

or

stopped s

ignin

g b

ooks

at

P.M

.

20

.The t

able

s sh

ow

patt

ern

s fo

r so

me u

nits

of

measu

rem

ent.

Wri

te t

he c

orr

ect

labels

in e

ach t

able

.

Fe

et

Inch

es

112

224

336

448

Days

Ho

urs

124

248

372

496

Qu

art

sP

ints

12

24

36

48

21

.Ja

kob p

lays

the v

iolin

. H

is b

ow

is

8 d

ecim

ete

rs long.

How

many

mete

rs long is

Jakob’s

bow

?

mete

rs long

22

.K

yle is

pra

cticin

g f

or

a 3

-mile

race. H

is n

orm

al tim

e is

23

min

ute

s 2

6 s

eco

nds.

Yest

erd

ay

it t

ook h

im o

nly

21

min

ute

s

38

 seconds.

How

much f

ast

er

was

Kyl

e's

tim

e y

est

erd

ay

than

his

norm

al tim

e?

1 m

inu

te 4

8 s

ec

on

ds

fa

ste

r

Days

Inch

es

Pin

tsH

ou

rsFeet

Qu

art

sW

eeks

Yard

s

12

:25

8

__

10 o

r 0

.8

AG108

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

12

Te

st

Chapte

r 12 T

est

Page 5

15

. C

ele

ste is

makin

g lem

on

ad

e. S

he m

ixes

6 p

ints

each

of

fresh

-

squ

eeze

d lem

on

ju

ice a

nd

wate

r. H

ow

man

y flu

id o

un

ces

of

lem

on

ad

e d

oes

Cele

ste m

ake?

flu

id o

un

ces

16

. Paul’s

skate

board

ing c

om

petition w

ill s

tart

at 11:3

0 A.M

., but th

e

com

petito

rs m

ust

arr

ive a

t th

e s

kate

park

thre

e-q

uart

ers

of an

hour

early

to w

arm

up. T

he c

om

petition m

ust

end b

y 1:3

0 P.M.

Par

t A

Pau

l sa

ys h

e h

as

to b

e a

t th

e s

kate

park

at

9:3

0 A.M

.

Is P

au

l corr

ect?

Exp

lain

you

r an

swer.

No

. P

au

l s

ho

uld

be

th

ere

by

10

:45

A.M. P

os

sib

le

ex

pla

na

tio

n:

I k

no

w 1

ho

ur

= 6

0 m

inu

tes

, s

o 3

_

4 h

ou

r

= 3

_

4 ×

60

or

45

min

ute

s. S

tart

ing

at

11:3

0 A.M

.,

I p

ictu

red

th

e m

inu

te h

an

d m

ov

ing

ba

ck

45

min

ute

s

fro

m 1

1:3

0 A.M.,

wh

ich

is

10

:45

A.M.

Par

t B

Th

e s

kate

park

clo

ses

at

6:4

5 P.M

. Th

ere

is

a 1

5-m

inu

te b

reak

betw

een

each

rou

nd

of

com

petition

s at

the s

kate

park

, an

d

each

rou

nd

takes

the s

am

e a

mou

nt

of

tim

e a

s P

au

l’s r

ou

nd

.

How

man

y m

ore

rou

nd

s can

th

ere

be b

efo

re t

he s

kate

park

clo

ses?

Exp

lain

you

r an

swer.

2 m

ore

ro

un

ds

; p

os

sib

le e

xp

lan

ati

on

: P

au

l’s

ro

un

d

en

ds

at

1:3

0 P.M. t

he

nex

t ro

un

d s

tart

s a

t 1

:45

P.M. a

fte

r

a 1

5-m

inu

te b

rea

k. T

he

ro

un

d e

nd

s a

t 3

:45

P.M. T

he

la

st

rou

nd

sta

rts

at

4:0

0 P.M. a

nd

en

ds

at

6:0

0 P.M. T

he

re i

s

no

t e

no

ug

h t

ime

fo

r a

no

the

r ro

un

d.

17

. For

nu

mb

ers

17

a–1

7e, se

lect

Yes

or

No t

o t

ell

wh

eth

er

the

measu

rem

en

ts a

re e

qu

ivale

nt.

17a. 8

00

mill

ilite

rs a

nd

8 liters

Y

es

N

o

17b. 9

gra

ms

an

d 9

,00

0 k

ilog

ram

s

Y

es

N

o

17c. 5

,00

0 g

ram

s and 5

kilo

gra

ms

Y

es

N

o

17d. 7

mill

ilite

rs a

nd

7,0

00

liters

Y

es

N

o

17e. 3

liters

an

d 3

,00

0 m

illili

ters

Y

es

N

o

19

2

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG107

Ch

ap

ter

12

Te

st

AG362 Answer KeyAssessment Guide© Houghton Mifflin Harcourt Publishing Company

Page 37: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

13

Te

stP

ag

e 2

3.

Matc

h t

he d

imen

sion

s of

the r

ecta

ng

les

in t

he t

op

row

with

the c

orr

ect

are

a o

r p

eri

mete

r in

th

e b

ott

om

row

.

4.

Karl

ie p

ain

ted

a p

ort

rait. Th

e h

eig

ht

of

the p

ort

rait m

easu

res

14

in

ch

es.

Th

e w

idth

is

half a

s lo

ng

as

the h

eig

ht. W

hat

is t

he

are

a o

f th

e p

ort

rait?

sq

uare

in

ch

es

5

. W

ilma u

sed 6

0 c

entim

ete

rs o

f la

ce to m

ake a

bord

er

aro

und a

rect

angula

r ca

rd. T

he w

idth

of th

e c

ard

is 2

0 c

entim

ete

rs. W

hat

is the le

ngth

of th

e c

ard

? U

se the n

um

bers

to w

rite

an e

quation

and s

olv

e. A

num

ber

may

be u

sed m

ore

than o

nce

.

30

10

40

15

50

20

60

P =

(2

× l)

+ (

2 ×

w)

60

= (

2 ×

l)

+ (

2 ×

2

0)

60

= (

2 ×

l)

+

40

20

= 2

× l

10

= l

So, th

e len

gth

of

the c

ard

is

10

cen

tim

ete

rs.

6

. B

ill d

rew

a r

ecta

ng

le w

ith

a p

eri

mete

r of

16

in

ch

es.

Th

en

he

trie

d t

o d

raw

a s

qu

are

with

a p

eri

mete

r of

16

in

ch

es.

Dra

w 3

diffe

ren

t re

cta

ng

les

that

Bill

cou

ld h

ave

dra

wn

. Th

en

dra

w t

he s

qu

are

, if p

oss

ible

.

Ch

eck

stu

de

nts

’ w

ork

. P

os

sib

le d

ime

ns

ion

s o

f

rec

tan

gle

s:

1 i

nch

× 7

in

ch

es

; 2

in

ch

es

× 6

in

ch

es

;

3 i

nch

es

× 5

in

ch

es

. Th

e s

qu

are

is

4 i

nch

es

by

4 i

nch

es

.

len

gth

: 6

in

.

wid

th: 7

in

.

are

a =

4

0 s

q in

.

len

gth

: 7

in

.

wid

th: 4

in

.

are

a =

4

2 s

q in

.

len

gth

: 5

in

.

wid

th: 8

in

.

peri

mete

r =

2

8 in

.

len

gth

: 7

in

.

wid

th: 7

in

.

peri

mete

r =

2

2 in

.

98

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG110

Ch

ap

ter

13

Te

st

Chapte

r 13 T

est

Page 1

1

. For

nu

mb

ers

1a–1

e, se

lect

Yes

or

No t

o in

dic

ate

if

a

recta

ng

le w

ith

th

e g

iven

dim

en

sion

s w

ou

ld h

ave

a p

eri

mete

r

of

60

in

ch

es.

1a.

len

gth

: 1

5 in

ch

es

wid

th: 1

5 in

ch

es

Y

es

N

o

1b.

len

gth

: 2

0 in

ch

es

wid

th: 1

0 in

ch

es

Y

es

N

o

1c.

len

gth

: 2

5 in

ch

es

wid

th: 4

in

ch

es

Y

es

N

o

1d.

len

gth

: 2

7 in

ch

es

wid

th: 3

in

ch

es

Y

es

N

o

1e.

len

gth

: 3

0 in

ch

es

wid

th: 2

in

ch

es

Y

es

N

o

2

. D

ian

e m

ad

e a

desi

gn

usi

ng

a s

mall

squ

are

, a m

ed

ium

sq

uare

,

an

d a

larg

e s

qu

are

. S

he s

had

ed

th

e s

mall

squ

are

an

d t

he

ou

ter

reg

ion

.

12 in

.10

in.

3 in

.

Par

t A

Wh

at

is t

he a

rea o

f each

of

the 3

sq

uare

s sh

e d

rew

?

Sh

ow

you

r w

ork

.

Sm

all

sq

ua

re:

3 ×

3 =

9;

9 s

qu

are

in

ch

es

Me

diu

m s

qu

are

: 10

× 1

0 =

10

0;

10

0 s

qu

are

in

ch

es

La

rge

sq

ua

re:

12

× 1

2 =

14

4;

14

4 s

qu

are

in

ch

es

Par

t B

Wh

at

is t

he a

rea t

hat

is s

had

ed

? E

xpla

in h

ow

you

fou

nd

you

r

an

swer.

53

sq

ua

re i

nch

es

; p

os

sib

le a

nsw

er:

I f

ou

nd

th

e a

rea

of

the

12

-in

ch

sq

ua

re, s

ub

tra

cte

d t

he

are

a o

f th

e 1

0-i

nch

sq

ua

re, th

en

ad

de

d t

he

are

a o

f th

e 3

-in

ch

sq

ua

re.

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG109

Ch

ap

ter

13

Te

st

AG363 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 38: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Ch

ap

ter

13

Te

stP

ag

e 4

11

. The d

iagra

m s

how

s th

e d

imensi

ons

of

Anna’s

laundry

room

flo

or.

4 fe

et

2 fe

et

12 fe

et

8 fe

et6

feet

Use

either

additio

n o

r su

btr

action t

o f

ind t

he a

rea o

f th

e f

loor

of

the laundry

room

. Show

your

work

.

Ad

dit

ion

S

ub

tra

cti

on

To

p:

2 ×

4 =

8

En

tire

re

gio

n:

8 ×

12

= 9

6

Bo

tto

m:

12

× 6

= 7

2

Sm

all

re

cta

ng

le:

2 ×

8 =

16

To

tal:

8 +

72

= 8

0

To

tal:

96

− 1

6

= 8

0

Th

e a

rea

of

the

flo

or

of

the

la

un

dry

ro

om

is

80

sq

ua

re

fee

t.

12

. O

ne w

all

of

Pate

l’s b

edro

om

is

13

feet

wid

e a

nd 8

feet

tall.

A w

indow

on t

he w

all

is 3

feet

hig

h a

nd 6

feet

long. W

hic

h

state

ment

tells

how

to f

ind t

he a

mount

of

wallp

aper

Pate

l

would

need t

o c

ove

r th

is w

all?

Mark

all

that

apply

.

A

Add 1

3 +

8 +

3 +

6.

B

Add 1

3 ×

8 a

nd 3

× 6

.

C

Subtr

act

18

fro

m 1

3 ×

8.

D

Subtr

act

8 ×

6 f

rom

13

× 3

.

E

Subtr

act

13

× 8

fro

m 3

× 6

.

F

Subtr

act

3 ×

6 f

rom

13

× 8

.

13

. A

row

of

lockers

cove

rs 1

60

square

feet

of

space a

long a

wall.

If

the lockers

are

5 f

eet

tall,

what

length

alo

ng t

he w

all

do t

hey

cove

r?

feet

32

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG112

Ch

ap

ter

13

Te

st

Chapte

r 13 T

est

Page 3

7

. G

retc

hen

an

d E

d a

re d

raw

ing

pla

ns

for

recta

ng

ula

r p

lay

are

as.

In

Gre

tch

en

’s p

lan

, th

e p

lay

are

a is

15

feet

by

12

feet.

In E

d’s

pla

n t

he p

lay

are

a is

14

feet

by

14

feet. F

or

nu

mb

ers

7a–7

d, se

lect

Tru

e o

r Fals

e f

or

each

sta

tem

en

t.

7a.

Th

e a

rea o

f Ed

’s p

lay

are

a is

56

sq

uare

feet.

Tru

e

Fals

e

7b.

Th

e a

rea o

f G

retc

hen

’s p

lay

are

a is

18

0 s

qu

are

feet.

Tru

e

Fals

e

7c.

Gre

tch

en

’s p

lay

are

a h

as

a g

reate

r

are

a t

han

Ed

's p

lay

are

a.

Tru

e

Fals

e

7d.

Th

e a

rea o

f Ed

’s p

lay

are

a is

16

sq

uare

feet

gre

ate

r th

an

Gre

tch

en

’s.

Tru

e

Fals

e

8

. Lau

ra b

ou

gh

t a s

qu

are

can

vas

to p

ain

t a p

ictu

re o

f h

er

cat.

On

e s

ide m

easu

res

22

cen

tim

ete

rs. W

hat

is t

he a

rea o

f th

e

can

vas?

Sh

ow

you

r w

ork

.

A =

22

× 2

2

A =

48

4

Th

e a

rea

of

the

ca

nva

s i

s 4

84

sq

ua

re c

en

tim

ete

rs.

9

. A

dri

an

bou

gh

t a f

ram

e f

or

a p

hoto

gra

ph

th

at

he t

ook.

24 in

.

20 in

.

8 in

.

Fram

e

10 in

.

Wh

at

is t

he a

rea o

f th

e f

ram

e n

ot

cove

red

by

the p

ictu

re?

sq

uare

in

ch

es

10

. A

farm

er

has

20

0 f

eet

of

fen

cin

g t

o u

se f

or

a c

hic

ken

pen

. H

e

wan

ts t

he w

idth

of

the p

en

to b

e 2

7 f

eet. D

raw

a r

ecta

ng

le

that

cou

ld b

e t

he s

pace f

or

the c

hic

ken

pen

. Lab

el th

e len

gth

an

d t

he w

idth

.73

feet

27 fe

et

80

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG111

Ch

ap

ter

13

Te

st

AG364 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide

Page 39: AG327 Answer Key - Ms. H's 4th Grade Math …hellett.weebly.com/uploads/8/3/8/0/83802834/answer_key...6723 Chapter 1 Test Page 6 17. Match the number to the value of its 5. 36,458

Chapte

r 13 T

est

Page 6

17

. A

wall

is 1

2 f

eet

lon

g a

nd

8 f

eet

hig

h. M

ark

han

gs

a p

ictu

re

on

th

e w

all

that

is 2

feet

lon

g a

nd

1 f

oot

wid

e. C

hoose

th

e w

ord

s

that

corr

ectly

com

ple

te t

he s

en

ten

ce.

To f

ind

th

e n

um

ber

of

squ

are

feet

of

the w

all

that

is N

OT

cove

red

by

the p

ictu

re,

mu

ltip

ly

ad

d

sub

tract

th

e

are

a o

f th

e p

ictu

re

wid

th o

f th

e w

all

are

a o

f th

e w

all

from

by to

th

e

tota

l are

a.

are

a o

f th

e w

all.

are

a o

f th

e p

ictu

re.

18

. Lyd

ia is

cu

ttin

g t

he s

hap

e f

rom

a p

iece o

f con

stru

ction

pap

er.

For

nu

mb

ers

18

a–1

8c, se

lect

Yes

or

No t

o t

ell

wh

eth

er

you

can

ad

d t

he p

rod

ucts

to f

ind

th

e n

um

ber

of

squ

are

cen

tim

ete

rs L

ydia

need

s.

18a.

7 ×

4 a

nd

3 ×

1

Y

es

N

o

18b.

7 ×

1 a

nd

4 ×

1

Y

es

N

o

18c.

1 ×

3 a

nd

7 ×

1

Y

es

N

o

19

. Th

e H

ern

an

dez

fam

ily b

uilt

a b

ackya

rd p

atio.

T

he w

idth

an

d len

gth

of

the p

atio a

re w

hole

nu

mb

ers

.

Wh

at

cou

ld b

e t

he d

imen

sion

s of

the p

atio?

Po

ss

ible

an

sw

er:

15

fe

et

lon

g b

y 1

0 f

ee

t w

ide

16

. W

hic

h r

ect

angle

has

a p

eri

mete

r of

20

feet?

Mark

all

that

apply

.

A

B

C

D

3 cm

1 cm

4 cm

7 cm

Are

a =

150

squ

are

feet

7 ft

3 ft

10 ft

2 ft

8 ft

2 ft

5 ft

4 ft

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG114

Ch

ap

ter

13

Te

st

Chapte

r 13 T

est

Page 5

14

. M

r. B

enso

n b

uilt

a p

lay

are

a f

or

his

child

ren a

nd a

n o

ffic

e f

or

him

self.

20 ft

10 ft

10 ft

15 ft

Play

A

rea

Offi

ce

Exp

lain

how

he c

an fin

d the a

mount of ca

rpet he n

eeds

to c

ove

r th

e

floor

in b

oth

room

s. T

hen fin

d the a

mount of ca

rpet he w

ill n

eed.

Po

ss

ible

ex

pla

na

tio

n:

He

ca

n fi

nd

th

e a

rea

of

ea

ch

rec

tan

gle

an

d t

he

n fi

nd

th

e s

um

. Th

e a

rea

of

the

pla

y

are

a i

s 1

5 ×

10

or

15

0 s

qu

are

fe

et.

Th

e a

rea

of

the

off

ice

is

10

× 1

0 o

r 10

0 s

qu

are

fe

et.

Th

e s

um

of

the

tw

o

roo

ms

is

15

0 +

10

0 o

r 2

50

sq

ua

re f

ee

t o

f c

arp

eti

ng

.

15

. W

ork

ers

are

fen

cin

g o

ff a

recta

ng

ula

r con

stru

ction

zon

e b

efo

re t

hey

beg

in w

ork

. Th

e len

gth

of

the c

on

stru

ction

zon

e is

20

mete

rs. Th

e

wid

th o

f th

e c

on

stru

ction

zon

e is

5 m

ete

rs less

th

an

th

e len

gth

.

How

mu

ch

fen

ce d

o t

he w

ork

ers

need

to e

nclo

se t

he c

on

stru

ction

zon

e?

Exp

lain

how

you

fou

nd

you

r an

swer.

70

me

ters

; p

os

sib

le e

xp

lan

ati

on

: fi

rst,

I f

ou

nd

th

e

wid

th o

f th

e c

on

str

uc

tio

n z

on

e b

y s

ub

tra

cti

ng

5 f

rom

20

; 2

0 –

5 =

15

. Th

en

I u

se

d a

fo

rmu

la t

o fi

nd

th

e

pe

rim

ete

r.

P =

(2

× l)

+ (

2 ×

w)

= (

2 ×

20

) +

(2

× 1

5)

= 4

0 +

30

= 7

0

Ass

ess

me

nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG113

Ch

ap

ter

13

Te

st

AG365 Answer Key© Houghton Mifflin Harcourt Publishing Company

Assessment Guide


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