39
Chapter 1 Test Page 2 For 3–4, use the table. Mountain Peaks of Canada Name Height (ft) Name Height (ft) Centennial Peak 12,533 Mount Root 12,799 Mount Columbia 12,293 Mount Tiedemann 12,625 Mount King George 12,274 North Twin 12,247 3. Write the name of each mountain in the box that describes its height, in feet. 4. Circle the name of the tallest peak. Explain how you know which of the mountain peaks is the tallest. Mount Root is the tallest; Possible explanation: I compared the heights by place value position. 5. The assistant principal bought 230 student planners for the school. If there are 10 planners in a box, how many boxes did he buy? A 2,300 C 230 B 240 D 23 6. Luis and Liz each rounded 635,974 to the nearest ten thousand. Luis wrote 630,000 and Liz wrote 640,000. Who is correct? Explain the error that was made. Liz is correct. Possible explanation: Luis left the ten thousands digit the same instead of increasing it by 1. The digit in the thousands place is 5, so to round to the nearest ten thousand, Luis should have increased the ten thousands digit, 3, by 1. Between 12,240 feet and 12,500 feet Between 12,501 feet and 12,800 feet Mount Columbia, Mount King George, North Twin Centennial Peak, Mount Tiedemann, Mount Root © Houghton Mifflin Harcourt Publishing Company Name Chapter 1 Test Assessment Guide AG38 Chapter 1 Test Page 1 1. Select a number for that will make a true comparison. Mark all that apply. 807,058 > A 870,508 C 807,508 E 805,058 B 870,058 D 807,085 F 800,758 2. Leslie wrote the greatest number that can be made using each of these digits exactly once. 6 2 4 7 9 1 Part A What was Leslie’s number? How do you know this is the greatest possible number for these digits? 976,421; possible answer: I used place value. I took the greatest digit and placed it in the spot furthest to the left, the hundred thousands column. I placed the next greatest digit in the ten thousands column and so on. I know that each place value is ten times as much as the place value to its right. Part B What is the least number that can be made using each digit exactly once? Explain why the value of the 4 is greater than the value of the 6. 124,679; possible explanation: the 4 represents 4,000 and the 6 represents 600. © Houghton Mifflin Harcourt Publishing Company Name Chapter 1 Test Assessment Guide AG37 AG327 Answer Key © Houghton Mifflin Harcourt Publishing Company Assessment Guide

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

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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

© H

ough

ton

Miff

lin H

arco

urt P

ublis

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

Gu

ide

© H

ough

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

Ass

ess

me

nt

Gu

ide

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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 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

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

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

Ass

ess

me

nt

Gu

ide

© H

ough

ton

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lin H

arco

urt P

ublis

hing

Com

pany

Na

me

Ch

ap

ter

6 T

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

.

AG72

Ass

ess

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nt

Gu

ide

© H

ough

ton

Miff

lin H

arco

urt P

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hing

Com

pany

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me

Ch

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

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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

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

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ess

me

nt

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ide

© H

ough

ton

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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

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Ass

ess

me

nt

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ide

© H

ough

ton

Miff

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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

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lin H

arco

urt P

ublis

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pany

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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

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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

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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

‹ ___ ›

‹ ___ ›

‹ ___ ›

‹ ___ ›

‹ ___ ›

‹ __ ›

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ess

me

nt

Gu

ide

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ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Na

me

AG93

Ch

ap

ter

10

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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

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ess

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ide

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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

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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

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nt

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ide

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lin H

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hing

Com

pany

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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

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ide

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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

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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