Grade 4 math arkansas 03 + answers

PART II

Released Items (Mathematics)

CALCULATOR NOT PERMITTED  ITEMS 1 – 8
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1.

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1
of a dollar for taking
4
out the trash. Which decimal represents the

3. Bill’s mom gives him

Which two spinners below would give you an
equal chance of spinning a C?

amount of money Bill receives?
A.

0.04

B.

0.14

C.

0.20

* D.

0.25

Use the figure below to answer question 4.

A.
* B.

I and II
I and III

C.

II and III

D.

III and IV

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4. What is the perimeter of the rug above?

2. Mr. Douglas asked each of his fourth-grade

students to write an inequality statement.
Which one of the following inequality
statements is true?
A.

1258 < 1249

B.

76,849 > 76,890

* C.

94,682 > 94,628

D.

1,238,489 < 1,219,999

2

A.

07 ft.

B.

11 ft.

C.

12 ft.

* D.

14 ft.


PART II

Released Items (Mathematics)

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5. Alex drew a floor plan of her house. What is the length in feet of Alex’s house from the corner of the
kitchen to the corner of the baby’s room?

A.

04 feet

B.

05 feet

C.

20 feet

* D.

40 feet

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6. Which shape does not have parallel sides?

7. Aaron has paper cut-outs of a rectangle and
two circles. Which of the following
3-dimensional shapes could Aaron make using
all three of his cut-out shapes?

*

A.

a cone

B.

a sphere

* C.
D.

3

a cylinder

a rectangular prism


PART II

Released Items (Mathematics)

Use the figure below to answer question 8.

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8. Which measurement best describes the length
of a jump rope?

A.
* B.

07.3 inches
07.3 feet

C.

07.3 yards

D.

73.0 feet

4

PART II

Released Items (Mathematics)

CALCULATOR PERMITTED  ITEMS 9 – 40
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9. Angelo was asked to find the quotient of two
numbers. What operation did he need to do?

A.

add

B.

subtract

C.

multiply

* D.

12. How many faces does a cube have?

A.

4

B.

5

* C.

6

D.

7

divide

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13. Lee’s mother has a 32-fluid-ounce pitcher
filled with milk. How many cups can she fill?
(8 fluid ounces = 1 cup)

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10. Maria collects pictures of butterflies. She has
140 pictures. Of these, 80 pictures show
butterflies. Which equation can you use to
show pictures without butterflies?

A.

140 + 80 = N

* B.

140 – 80 = N

C.

140 × 80 = N

D.

140 ÷ 80 = N

* A.

004

B.

024

C.

040

D.

256

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14. In the number 652,479,103, in what place
value is the underlined digit?

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11. Find the mean (mean = average) for the set of
numbers below.

5, 3, 8, 4, 10, 12
A.

04

* B.

07

C.

08

D.

10

A.

tens

B.

ten thousands

C.

millions

* D.

5

ten millions


PART II

Released Items (Mathematics)

01/FD/S4A/P17A P

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15. Which comparison is correct?

18. How many figures (circle, triangle, rectangle,
square . . .) do you need to make the cylinder

below?

* A.

0,500 < 550

B.

0,300 > 2,850

C.

4,300 = 3,400

D.

9,919 < 9,919

01/FF/S4A/P16C D

16. Look at the spinner below.

A.

2 congruent circles and 1 triangle

* B.

2 congruent circles and 1 rectangle

C.

2 congruent circles and 1 trapezoid

D.

2 congruent circles only

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19. Mrs. Teasley’s fourth-grade class divided into
teams of 4 for field day races. There were
3 students left over after all of the teams were
formed. Which could be the total number of
students that are in Mrs. Teasley’s class?

How many times is the spinner likely to land
on blue in 24 spins?
A.

3

B.

6

A.

24

* C.

12

B.

26

D.

24

* C.

27

D.

28

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17. Four feet equals ________.

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20. Mr. Dove wrote the number sentence
N ÷ 3 = 9 on the board. What number could
replace N to make this number sentence true?

A.

3 inches

B.

4 inches

C.

12 inches

A.

3

* D.

48 inches

B.

6

C.

12

* D.

27

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PART II

Released Items (Mathematics)

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21. Sam makes his own frames to display his
photography. The shop sells 48-inch wood
strips for framing. If all of Sam’s frames are
4 in. × 6 in. rectangles, how many frames can
he make from 1 strip?

23. Ramiro made a graph showing the number of
crickets the class pet turtle ate in a five-day
period. How many crickets did it eat in
5 days?

* A.

2

B.

3

C.

8

D.

12

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22. Which set of figures is congruent?

*

* A.

20

B.

40

C.

60

D.

80

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24. LaToya made up this number sentence:
N × 4 = 2 × 8. What number could replace N
to make LaToya’s number sentence true?

7

A.

2

* B.

4

C.

16

D.

64


PART II

Released Items (Mathematics)

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25. Lark Creek Elementary School had 4 fifthgrade classrooms and a total of 96 fifth-grade
students. If each classroom has exactly the
same number of students, which number
sentence could be used to calculate the
number of students in each classroom?

27. A Ferris wheel at the fair is 208 feet high.
About how high is the Ferris wheel in yards?

A.

96 + 4 =

B.

96 − 4 =

C.

96 × 4 =

* D.

96 ÷ 4 =

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26. Which figure below could be folded to make a
cube?

* A.

069 yards

B.

104 yards

C.

205 yards

D.

624 yards

Use the figure below to answer question 28.

*
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28. Juan put the above shapes in a box because
they all follow a common rule. What is one
common rule that fits all of the shapes in
Juan’s box?

A.

They all have at least 4 sides.

B.

They all have at least 3 vertices.

C.

They all have at least one acute angle.

* D.

8

They all are symmetrical.


PART II

Released Items (Mathematics)

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29. Todd has a collection of pro football team
T-shirts. He has 4 Miami Dolphin shirts,

3 Jacksonville Jaguar shirts, and 5 from other
teams. If Todd selects a shirt at random, what
is the probability that he will pick a Dolphin
shirt?

32. Mrs. O’Keefe’s kindergarten students made
structures with sugar cubes. The volume of
each sugar cube is l cubic inch. Who made the
structure with the greatest volume?

A.

1
12

B.

3
12

* C.

4
12

D.

5
12

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30. During the month of February, a student in
fourth grade read for a total of 1,680 minutes.
For how many minutes did the student read
each day if she read for the same number of
minutes on each of the 28 days in February?

A.

0028

* B.

0060

C.

0070

* A.

Amy

B.

Brent

C.

Chris

D.

David

Use the chart below to answer question 33.
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D. 1,680
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31. Troy must read independently for 2 hours per
week. If Troy reads for 20 minutes per day,
how many days will it take him to read for a
total of 2 hours?

33. The chart above shows the pattern of Isabel’s
savings over a 5-week period. What is the rule
Isabel used to create this pattern?

A.

20 + 120 =

B.

120 − 20 =

* A.

C.

120 × 20 =

B.

subtract 4

* D.

120 ÷ 20 =

C.

divide by 4

D.

multiply by 2

9

add 4


PART II

Released Items (Mathematics)

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34. Students in Mr. Kon’s science class want to
determine which hours of the day are the
warmest and the coolest. They put a beaker of
water outside in the sun and recorded the
temperature of the water at 4 different times
for one week. What are the best times for the
students to record their data?

* A.
B.

Use the information below to answer question 36.

8:15 a.m., 12:00 noon, 1:30 p.m., and
4:00 p.m.
1:30 p.m., 3:30 p.m., 5:30 p.m., and
7:30 p.m.

C.

8:15 a.m., 9:15 a.m., 10:15 a.m., and
11:15 a.m.

D.

4:00 p.m., 6:00 p.m., 8:00 p.m., and
10:00 p.m.

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36. Bridget’s dad kept count of how far he
bicycled over a period of 50 minutes. If this
pattern continues, how many miles will
Bridget’s dad have traveled in 90 minutes?

AR4MO1M302Y009-009C

1
hours to drive from Fayetteville
2
to Little Rock. If you leave Fayetteville at

35. It takes 3

A.

30 miles

* B.

45 miles

C.

60 miles

D.

90 miles

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4:15 p.m., what time will you arrive in Little

37. Roberto’s pet rabbit weighs 3 kilograms. If his
cat weighs the same as his rabbit, how many
grams does the cat weigh?

Rock?

A.

0003 grams

A.

4:45 p.m.

B.

0030 grams

B.

7:15 p.m.

C.

0300 grams

* C.

7:45 p.m.

* D.

3000 grams

D.

8:00 p.m.

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PART II

Released Items (Mathematics)
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39. What is the value of 3 in 32.05?

Use the figure below to answer question 38.

* A.

3 tens

B.

3 ones

C.

3 hundreds

D.

3 thousands

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40. Steve and Michael were playing a number
game. They turned the 15 cards shown below
face down. If Michael chooses one card, what
is the probability that he will choose a card
with an even number on it?

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38. Raul has a game that uses the spinner shown
above. What is the probability that a player
will spin and land on “RETURN 2 START”?

* A.

1
8

B.

2
8

C.

3
8

D.

7
8

* A.

11

9 out of 15

B.

1 out of 9

C.

1 out of 15

D.

6 out of 9


PART II

Released Items (Mathematics)

MATHEMATICS OPEN-RESPONSE ITEM A
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A. Rashid and Matthew are playing a math game. There are two stacks of number cards with the digits 0–9
on them. Each player draws 4 cards.
•

Rashid’s cards:

7

0

3

9

•

Matthew’s cards:

0

8

5

2

1.

The winner of the first game is the person who can make the largest four-digit number with the
numbers drawn. Tell who won the first game. Explain your answer with words and/or numbers.

2.

The winner of the second game is the person who can make the smallest four-digit number with the
numbers drawn. Tell who won the second game. Explain your answer with words and/or numbers.

BE SURE TO LABEL YOUR RESPONSES 1 AND 2.
RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A
Score

Description

4

4 points – Response contains no incorrect work.

3

3 points – 3 ½ points.

2

2 points – 2 ½ points.

1

½ point – 1 ½ points or some minimal understanding shown.

0

No understanding shown.

B

Blank – No Response. A score of “B” will be reported as a score “NA” (No Attempt – Zero
Score).

Solution
Part 1:

Rashid won.

Work/Explanation:

9,730 > 8,520
OR

Rashid has 9,730 and Matthew has 8,520.
OR
Student states that Rashid’s largest number can have a “9” in the thousands place so it will be
greater than Matthew’s largest number, which can only have an “8” in the thousands place.

Part 2:

Matthew won.

Work/Explanation:

2,058 < 3,079 (or 0258 < 0379)
OR
Matthew has 2,058 and Rashid has 3,079 (or 0258 and 0379).
OR
Student states that Matthew’s smallest number can have a “2” in the thousands place so it will
be less than Rashid’s number since the smallest digit he can have in the thousands place is a
“3.

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PART II

Released Items (Mathematics)

Scoring (4 total points possible)
Part 1:

(2 points possible)

• 1 point for correct answer of “Rashid won” with work or explanation containing evidence of some
correct procedure using any of the following:
o Correct comparison of any 4-digit numbers formed using the digits of 7, 0, 3, 9 and 0, 8, 5, 2, or
o Some correct explanation regarding place value (ex. 9 is the biggest number), or
o 4-digit number formed with 9 in the thousands place using 7, 0, 3, 9 (ex. 9037).
OR
• ½ point for correct answer of “Rashid won” with no work or explanation containing any of the above
support.
OR
• 0 points for answer of “Rashid won” with evidence of incorrect procedure:
o Adding digits (7 + 0 + 3 + 9 = 19 and 0 + 8 + 5 + 2 = 15) and comparing numbers: 19 > 15, or
o Comparing first digits listed (7 > 0).

Work/Explanation:
• 1 point for either of the following:
o 2 correct numbers (9,730 and 8,520), or
o Correct and complete explanation regarding place value (ex. 9 > 8, etc.).
OR
• ½ point for either of the following:
o 1 correct number (9,730 or 8,520), or
o Partial explanation regarding place value (ex. 9 is the largest number).
Part 2:

(2 points possible)
• 1 point for correct answer of “Matthew won” with work or explanation containing evidence of some
correct procedure using any of the following:
o Correct comparison of any 4-digit numbers formed using the digits of 7, 0, 3, 9 and 0, 8, 5, 2, or
o Some correct explanation regarding place value (ex. 2 is the smallest number), or
o 4-digit number formed with 2 in the thousands place using 0, 8, 5, 2 (ex. 2,508)
(or 2 in the hundreds place and 0 in the thousands place – ex. 0285).

OR
• ½ point for correct answer of “Matthew won” with no work or explanation containing any of the above
support.
OR
• 0 points for correct answer of “Matthew won” with evidence of incorrect procedure:
o Adding digits (7 + 0 + 3 + 9 = 19 and 0 + 8 + 5 + 2 = 15) and comparing numbers: 15 < 19, or
o Same numbers in Part 1 are compared.

Work/Explanation:
• 1 point for either of the following:
o 2 correct numbers (2,058 and 3,079 or 258 and 379), or
o Correct and complete explanation regarding place value (ex. 2 < 3, etc.)
OR
• ½ point for either of the following:
o 1 correct number (258; 2,058; 379; or 3,079), or
o Partial explanation regarding place value (ex. 2 is the smallest number).

13


PART II

Released Items (Mathematics)

MATHEMATICS OPEN-RESPONSE ITEM B
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B. The chart above shows a record of how much paper was used in one week by five students in Mrs. Drew’s
class.

1.

How many more sheets of paper did Aaron use than Kayla? Explain your reasoning using words
and/or numbers.

2.

Compare the amount of paper used on Friday to the amount used on Monday. Explain your answer
using words and/or numbers.

BE SURE TO LABEL YOUR RESPONSES 1 AND 2.
RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B
Score

Description

4

4 points – Response contains no incorrect work.

3

3 points.

2

2 points.

1

1 point or some minimal understanding shown.

0

No understanding shown.

B

Blank – No Response. A score of “B” will be reported as a score “NA” (No Attempt – Zero
Score).

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PART II

Released Items (Mathematics)

Solution
Part 1:

8 more sheets.

Work/Explanation:

26 – 18 = 8.
OR
Aaron: 26 sheets and Kayla: 18 sheets. The difference is 8.

Part 2:

More paper was used on Friday.
OR
Less was used on Monday.
OR
Symbolic representation of comparison: 32 > 15.

Work/Explanation:

Friday: 32, Monday: 15.
OR
32 – 15 = 17, etc.

Scoring (4 total points possible)
Part 1:

(2 points possible)
• 1 point for correct answer of 8.

Work/Explanation:
• 1 point for correct procedure used: Student finds Aaron’s number – Kayla’s number.
(Note: Work might have calculation, counting, or copy error.)
Part 2:

(2 points possible)
• 1 point for correct answer using either of the following:
o “Friday uses more…”, or
o Symbolic comparison (F# > M#).
(Note: Work might have a calculation, counting, or copy error.)

Work/Explanation:
• 1 point for correct work using either of the following:
o Association of days and numbers: Friday – 32 and Monday – 15, or
o Subtraction (32 – 15 = 17) without “Friday, Monday” labels.

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PART II

Released Items (Mathematics)

MATHEMATICS OPEN-RESPONSE ITEM C
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C. Jake and Timothy play sports in the neighborhood every day. The calendar above shows how many times
they have played basketball, soccer, and football so far during the month of April.

1.

If this pattern continues, what sport will Jake and Timothy play on Saturday, April 21? Explain your
answer using words and/or numbers.

2.

How many times will Jake and Timothy play soccer during the month of April? Explain your answer
using words and/or numbers.

BE SURE TO LABEL YOUR RESPONSES 1 AND 2.

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PART II

Released Items (Mathematics)

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM C
Score

Description

4

4 points – Response contains no incorrect work.

3

3 points.

2

2 points.

1

1 point or some minimal understanding shown.

0

No understanding shown.

B

Blank – No Response. A score of “B” will be reported as a score “NA” (No Attempt – Zero
Score).

Solution
Part 1:

Football

Work/Explanation:

Response states any of the following:

• Football is played every third day.
OR

• 21 is a multiple of 3.

OR
• Student fills in calendar with appropriate sport for April 16 through April 21.
OR
• Explains that the pattern is “basketball, soccer, football” and if started on the 16th, football
would be played on the 21st.
OR
• Equivalent work or explanation.
Part 2:

10

Work/Explanation:

Scoring

Response states any of the following:
• Soccer is played 5 times during the first 15 days of April, so they will play 5 times during
the last 15 days of the month.
OR
• 30 ÷ 3 = 10.
OR
• Student fills in or lists appropriate soccer dates on calendar through April 29.
OR
• Equivalent work or explanation.

(4 total points possible)

Part 1:

(2 points possible)
• 1 point for correct answer of Football,
AND
• 1 point for correct and complete work or explanation.

Part 2:

(2 points possible)
• 1 point for correct answer of 10.
AND

• 1 point for correct and complete work or explanation.

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PART II

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MATHEMATICS OPEN-RESPONSE ITEM D
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D. Mrs. Lehman drew the design shown on the grid above.

1.

How many completely shaded squares are there in the design? How many half-squares are there in
the design?

2.

What is the total area of the SHADED part of the design? Explain your reasoning for determining
the answer using words, numbers, and/or pictures.

BE SURE TO LABEL YOUR RESPONSES 1 AND 2.
RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM D
Score

Description

4

4 points – Response includes correct label of “sq. cm.” in Part 2. No incorrect work is
included.

3

3 points.

2

2 points.

1

1 point or some minimal understanding shown.

0

No understanding shown.

B

Blank – No Response. A score of “B” will be reported as a score “NA” (No Attempt – Zero
Score).

Note: Correct label of “sq. cm.” is required only at the “4” level.

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PART II

Released Items (Mathematics)

Solution
Part 1:

Correct answer of 9 (shaded squares) and 12 (half-shaded squares).
OR
Correct answer of 9 (shaded squares) and 24 (half-squares).

Part 2:

Correct answer of 15 sq. cm.

Work/Explanation:

Scoring
Part 1:

9 + 12/2 = 9 + 6 = 15 sq. cm.
OR
Equivalent work or explanation.

(4 total points possible)
(2 points possible)
• 1 point for correct answer of 9 shaded squares,
AND
• 1 point for correct answer of 12 half-shaded squares or 24 half-squares.

Part 2:

(2 points possible)
• 1 point for correct numerical answer based on shaded answers given in Part 1.
(Note: Student might refer to 24 half-squares in Part 1 and refer to 12 half-shaded squares, etc.,
in Part 2.)
AND
• 1 point for showing or explaining correct and complete procedure for finding total shaded area.
(Note: Work might contain a calculation or copy error.)

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PART II

Released Items (Mathematics)

MATHEMATICS OPEN-RESPONSE ITEM E
AR4M01G202Y099-099R

E. Mrs. Needham wants to put a border around the edge of the bulletin board above.

1.

What is the perimeter of the bulletin board? Explain your reasoning with words and/or pictures.

2.

Mrs. Needham has 20 feet of border. Is that enough to go around the bulletin board? Explain your

reasoning with words and/or pictures.

BE SURE TO LABEL YOUR RESPONSES 1 AND 2.
RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM E
Score

Description

4

4 points – Response includes correct label of “feet.” No incorrect work is included.

3

3 points.

2

2 points.

1

1 point or some minimal understanding shown (e.g., labels 4 sides of rectangle only).

0

No understanding shown (e.g., L × W = 6 × 3 = 18 only, with no correct corresponding
work/explanation).

B

Blank – No Response. A score of “B” will be reported as a score “NA” (No Attempt – Zero
Score).

Note: Correct label of “feet” is required only at the “4” level.

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PART II

Released Items (Mathematics)

Solution
Part 1:

Perimeter is 18 feet.

Work/Explanation:

Part 2:

Yes, there is enough.

Work/Explanation:

Scoring
Part 1:

3 + 3 + 6 + 6 = 18 feet.

OR
Equivalent work or explanation.

She has enough since she only needs 18 ft and she has 20 ft of border.
OR
18 < 20.
OR
20 – 18 = 2.
OR
Equivalent work or explanation.

(4 total points possible)
(2 points possible)
• 1 point for correct answer of 18.
(Note: Give credit for 18 if work includes 6 × 3 (student might be grouping), but do not give
credit for 18 if it is evident that the incorrect procedure was used: e.g., work includes L × W =
6 × 3 = 18.)

Work/Explanation:
• 1 point for correct and complete procedure for perimeter: L + L + W + W = P.
(Note: Work might have a calculation or copy error. Do not give credit for 6 × 3.)
Part 2:

(2 points possible)

If the answer in Part 1 is 18, or incorrect due to a calculation error with correct procedure used:
• 2 points for correct Y/N corresponding to answer in Part 1, and clear, correct work/explanation
in Part 2.
OR
• 1 point for correct Y/N corresponding to answer in Part 1, but work/explanation in Part 2 is

vague, incomplete, or absent.
OR
• 1 point for missing Y/N answer with clear and correct work/explanation in Part 2.
If the answer in Part 1 is incorrect due to a procedural error:
• 1 point for correct Y/N corresponding to answer in Part 1 with at least some correct
work/explanation in Part 2.
OR
• 1 point for missing Y/N answer with clear and correct work/explanation in Part 2.

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PART II

Released Items (Mathematics)

Mathematics Reference Sheet
Grade 4
2 cups = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon
12 inches = 1 foot
3 feet = 1 yard
1000 grams = 1 kilogram

22