Grade 4 math arkansas 08 + answers

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Released Mathematics Items—2008 Augmented Benchmark Grade 4
CALCULATOR NOT PERMITTED—ITEMS 1–3

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1

Michael bought 5 cases of juice for
the soccer team. Each case cost $6.

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3

Mrs. Barwick bought 18 boxes of
colored pencils for her students.
There are 72 pencils in all.

Which equation (number
sentence) describes how much
money Michael paid in all?

$6 ϫ 1 ϭ
5ϩ1ϭ
5 ϩ $6 ϭ
5 ϫ $6 ϭ

A
B
C

≥D

If n ϭ the number of pencils in
a box, which equation (number
sentence) can Mrs. Barwick use
to find the number of colored
pencils in each box?

6
$6
$11
$30

≥A

B
C

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2

Which of the following
represents two line segments?

≥

A
B
C
D

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D

72 Ϭ n ϭ
72 ϫ n ϭ
72 Ϫ 18 ϭ
72 ϩ 18 ϭ

18
18

n
n


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Released Mathematics Items—2008 Augmented Benchmark Grade 4
CALCULATOR PERMITTED—ITEMS 4–10 and 1–2

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4

Marley tracked the number of
minutes she spent writing in her
journal in the table below.

Time Spent Writing in My Journal
Day

Total Minutes

1

20

2

?

3

60

4

80

5

100

If Marley wrote in her journal
the same number of minutes
each day, how many total
minutes did she write by the
end of Day 2?
A
B

≥C

D

20
30
40
80

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Released Mathematics Items—2008 Augmented Benchmark Grade 4
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5
Barry recorded the temperature over a four-hour period one day in May.

If the temperature pattern continues, what will the temperature most likely be at
4:00 P.M.?
A
B

≥C

D

60°F

65°F
75°F
90°F

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6

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7

Maria bought 10 plants for her
garden. Each plant cost $7.97.

How many edges does the brick
below have?

What would be the estimated
total cost of Maria’s plants?
A
B

≥C

D

$ 8.00
$10.00
$80.00

$90.00

A
B
C

≥D
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4
6
9
12


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Released Mathematics Items—2008 Augmented Benchmark Grade 4

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8

Mrs. Merchant’s students wrote in
their journals every day beginning
on January 31st. They wrote their
last journal entries on February 9th.

Marsha jumped rope for 1
minute without stopping. How
many seconds did she jump?
A
B

≥C

D

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10

10 seconds
30 seconds
60 seconds
90 seconds

How many total days did the
students write in their journals?
A
B

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9

≥C

D

Lee found 5 rocks each day for
5 days to add to his rock
collection. Which pattern can
Lee use to count his rocks?
A
B

≥C

D

5 7 9 11 13
5 15 25 35 45
5 10 15 20 25
17 19 21 23 25

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8 days
9 days
10 days
22 days

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Released Mathematics Items—2008 Augmented Benchmark Grade 4
MATHEMATICS OPEN RESPONSE ITEM 1

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1

The table below shows how many students are in each fourth-grade class at Birchwood
School.

Fourth-Grade Students at Birchwood School
Class

Number of Students

Mrs. Adams

25

Mr. Thompson

28

Ms. Sanchez

29

Mr. Jones

27

1. The cafeteria can seat as many as 83 students. Name three classes that could sit in
the cafeteria at the same time. Explain your answer using words and/or numbers.
2. The school auditorium seats 500 people. After all four fourth-grade classes are
seated in the auditorium, how many seats are left empty? Explain your answer
using words and/or numbers.
BE SURE TO LABEL YOUR RESPONSES 1 AND 2.

RUBRIC FOR MATHEMATICS OPEN RESPONSE ITEM 1
SCORE

DESCRIPTION

4

Response contains no incorrect work.

3

The student earns 3 points.

2

The student earns 2 points.

1

1 or some minimal understanding is shown.

0

Blank – No Response. A score of “B” will be reported as “NA.” (No attempt to answer the item. Score of “0” assigned for the item.)

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Released Mathematics Items—2008 Augmented Benchmark Grade 4
Solution and Scoring

Part Points
1

2 points possible
2 points:

1 correct combination with correct and complete explanation
Give credit for the following or equivalent:
N
Mrs. Adams, Mr. Thompson, Ms. Sanchez
25 + 28 + 29 = 82 or
N
Mrs. Adams, Mr. Thompson, Mr. Jones
25 + 28 + 27 = 80 or
N
Mrs. Adams, Ms. Sanchez, Mr. Jones
25 + 29 + 27 = 81

Or
1 point:

1 correct combination with incomplete explanation or work
contains a calculation or copy error
Give credit for the following or equivalent:
N
“Mrs. Adams, Ms. Sanchez, Mr. Jones because
I added 25, 29 and 27 and got 79.” or
ł
“Mrs. Adams, Mr. Thompson, Ms. Sanchez I added”

N
Correct work shown without naming three classes
Note: Do not give credit for a correct combination with no
support.

2

2 points possible
1 point:

And
1 point:

Correct answer:
391
Note: Give credit for “387” if the student includes the 4
teachers
Correct and complete procedure shown and/or explained
Work may contain a calculation or copy error
Give credit for the following or equivalent:
N
25 + 28 + 27 + 29 = 109 students
500 í 109 = #
or
N
“ I added 25, 28, 29 and 27 and got 109.
I subtracted that from 500 to get my answer.”
or
ł
“There are 500 seats in all. There are 109 students in

all four 4th grade classes. So, 500 í 109 = #.” Or
ł
25 + 28 + 27 + 29 = 109 students
109 + 4 = 113 (4 teachers are included)
500 í 113 = #
ł
500 í 25 í 28 í 29 í 27 = 391

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Released Mathematics Items—2008 Augmented Benchmark Grade 4
MATHEMATICS OPEN RESPONSE ITEM 2

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2

When Marissa went to the amusement park, it took her 1 hour and 10 minutes to wait in
line and ride the roller coaster. The ride ended at 11:55 A.M.

1. At what time did Marissa begin waiting in line to ride the roller coaster? Explain
your answer using words and/or numbers.
2. Marissa got in line for the bumper boats at 12:30 P.M. The ride began at 1:10 P.M.
How long did Marissa stand in line? Explain your answer using words and/or
numbers.
BE SURE TO LABEL YOUR RESPONSES 1 AND 2.

RUBRIC FOR MATHEMATICS OPEN RESPONSE ITEM 2
SCORE

DESCRIPTION

4

Correct labels of “A.M.” in Part 1 and “Minutes” in Part 2. Response contains no incorrect work.

3

The student earns 3 points.

2

The student earns 2 points.

1

1 or some minimal understanding is shown.

0

Blank – No Response. A score of “B” will be reported as “NA.” (No attempt to answer the item. Score of “0” assigned for the item.)

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Released Mathematics Items—2008 Augmented Benchmark Grade 4
Solution and Scoring

Part Points
1

2 points possible
1 point:
And
1 point:

2

Correct answer:
10:45

Note: Label of “A.M.” is required only at the “4” level
Correct and complete procedure shown and/or explained
Work may contain a calculation - but not a procedural - error
Give credit for the following or equivalent:
N
“11:55 – 60 minutes = 10:55
10:55 – 10 minutes = 10:45”
or
ł
11:55
- 1:10
10:45
or
N
“One hour before 11:55 is 10:55 and 10 minutes before
10:55 is 10:45.”

2 points possible
1 point:
And
1 point:

Correct answer:
40
Note: Label of “Minutes” is required only at the “4” level
Correct and complete procedure shown and/or explained
Work may contain a calculation - but not a procedural - error
Give credit for the following or equivalent:
N
“From 12:30 to 1:00 is 30 minutes. From 1:00 to 1:10

is 10 more minutes.
or
ł
“30 + 10 = 40 minutes”
or
N
“12:30 + 30 minutes = 1:00 and 10 more minutes is
1:10.”

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Released Mathematics Items—2008 Augmented Benchmark Grade 4

Mathematics Reference Sheet
Grade 4
Use the information below, as needed, to answer questions on the Mathematics test.

1 foot = 12 inches

1 cup = 8 ounces (oz)

1 kilogram = 1000 grams

1 yard = 3 feet

1 pint = 2 cups

1 liter = 1000 milliliters

1 quart = 2 pints
1 gallon = 4 quarts
1 pound (lb) = 16 ounces (oz)

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