Student Name:
af
t
2015-2016
Dr
6th Grade Math
Benchmark
Louisiana
Published by TE21, Inc. June 2016
ALL RIGHTS RESERVED
This publication cannot be shared, duplicated, used for review or any other form of instruction,
or reproduced in part or in whole without written permission of TE21, Inc.
af
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CASE 6th Grade Math
Do Not Reproduce
CALCULATOR ACTIVE
The items in this test are based on the Louisiana State
Standards for Mathematics.
Dr
af
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DIRECTIONS FOR THE CALCULATOR ACTIVE SECTION OF
THE TEST:
• Calculators may be used during this test.
• Read each problem carefully.
• Choose the best answer from the choices given.
• Fractions in some answer choices may have been
simplified. Check each answer choice to see if this has
been done.
• Diagrams used in the test may not be drawn to scale.
• Stop when you see the words “STOP. END OF
CALCULATOR ACTIVE SECTION.”
• At this time, you can check your answers for THIS
SECTION ONLY.
Page 1
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CASE 6th Grade Math
3.
A
112.5 square units
B
144.5 square units
C
225 square units
D
289 square units
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2.
What is the area of the gray triangle shown?
A computer store receives 14,350 visitors in 7 days. At what rate does the computer
store receive visitors?
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1.
Do Not Reproduce
A
2,050 visitors per day
B
2,392 visitors per day
C
2,870 visitors per day
D
3,588 visitors per day
Which expression(s) is (are) equivalent to 24x – 108? Select ALL that apply.
Page 2
A
6(4x – 108)
B
4(6x − 27)
C
12(2x – 9)
D
24(x – 108)
E
2(12x − 108)
F
9(15x – 12)
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CASE 6th Grade Math
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Use the information given to answer questions 4-5.
Janet places tulips in bouquets to sell them at her flower shop.
•
•
If Janet charges $9 per bouquet filled with t tulips, which expression shows how
much Janet will make after selling all 180 tulips?
A
𝑡𝑡
180
180
�
C
9�
D
180(9t )
B
5.
9�
𝑡𝑡
180�
�
1
9𝑡𝑡
�
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4.
She has 180 tulips.
Each bouquet will contain (t ) tulips.
It took less than 2 hours for Janet to sell all of her tulips. There are 60 minutes in each
hour.
6.
Dr
Which inequality best describes this situation if m represents the minutes Janet
spent selling tulips?
A
m >2
B
m > 120
C
m <2
D
m < 120
The formula C =
𝟓𝟓
𝟗𝟗
(F – 32) is used to convert a temperature in degrees Fahrenheit,
(F), to a temperature in degrees Celsius, (C). What is the temperature in degrees
Celsius that is equivalent to a temperature of 77°F?
A
11°C
B
25°C
C
61°C
D
94°C
Page 3
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CASE 6th Grade Math
7.
8.
Do Not Reproduce
Which expression best represents the statement, “the difference of a number and 6 is
subtracted from the sum of the same number and 20”?
A
(x – 6) + (x + 20)
B
(x – 6) – (x + 20)
C
(x + 20) + (x – 6)
D
(x + 20) – (x – 6)
In the month of July, the temperature will be at least 70°F. Which number line
represents the possible temperatures for that month?
C
D
9.
Dr
B
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A
Which statement is correct about the expression 2(5 + y ) + 4x + 7?
A
The coefficient of x is 4.
B
The coefficient of y is 5.
C
The expression 2(5 + y ) represents the sum of two factors.
D
The expression 2(5 + y ) represents the product of three factors.
Page 4
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CASE 6th Grade Math
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Use the information given to answer questions 10-11.
Five customers at a local garden center are buying mulch. The table shows how many
cubic feet of mulch each customer buys and how much each customer pays.
Customer
Josefina
Landon
Tara
Valentino
Zander
Cubic Feet
1.4
2.0
2.6
3.7
0.5
Cost
$3.50
$5.00
$6.50
$9.25
?
10. According to the table, how much does mulch cost per cubic foot?
$2.00 per cubic foot
B
$2.50 per cubic foot
C
$3.00 per cubic foot
D
$5.00 per cubic foot
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A
11. What is the cost for Zander’s purchase of 0.5 cubic foot of mulch?
$1.25
B
$1.50
C
$2.50
D
$3.00
Dr
A
12. The distances and times from a track meet for four schools are shown.
School
Eastbay Middle
Northwest Middle
South Central Middle
West Middle
Distance (miles)
7
5
4
6
Time (minutes)
42
25
28
48
Which school has the fastest average time per mile at the track meet?
A
Eastbay Middle
B
Northwest Middle
C
South Central Middle
D
West Middle
Page 5
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CASE 6th Grade Math
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13. Sharon is conducting a survey on video games for her technology class. She plans to
ask only statistical questions for the survey.
Which is an example of a statistical question Sharon could use for her survey?
A
How much does your favorite video game cost?
B
What store sold the most video games this weekend?
C
How many games were released last month for a certain game system?
D
What is the highest-selling video game of all time?
14. A marine biologist records a dolphin’s swimming path for an hour. The depth of the
dolphin’s swimming path is listed in the table. The number 0 represents sea level.
Depth (feet)
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Time
(minutes)
0
10
20
30
40
50
60
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0
-6
+2
0
+8
-2
+6
At what time was the dolphin at the depth opposite of 2 feet below sea level?
A
at 10 minutes
B
at 20 minutes
C
at 50 minutes
D
at 60 minutes
15. Yann gathered data about the growth of lilies in his garden. Which m ost likely
describes how Yann collected the data?
A
He monitored the rainfall each month.
B
He measured the heights of the lilies.
C
He recorded the types of lilies in his garden.
D
He tallied the different colors of lilies.
Page 6
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CASE 6th Grade Math
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16. The table shows the low est and highest attendance for four college football teams
this season.
Team
Bears
Devils
Panthers
Wildcats
Lowest Attendance
14,543
18,320
5,320
8,813
Highest Attendance
19,349
18,900
5,932
9,476
Which team has the greatest variation in attendance?
Bears
B
Devils
C
Panthers
D
Wildcats
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A
Dr
17. A square has a side length of (x + 8) feet long. Which expression(s) represent(s) the
perimeter of the square, in feet? Select ALL that apply.
A
2x + 8
B
2x + 16
C
4x + 8
D
4x + 32
E
4(x + 8)
F
2(x + 8)
18. In science class, students are learning about chemical compounds. A common
chemical compound is baking soda. The chemical makeup of baking soda consists of
1 sodium, 1 hydrogen, and 3 carbonates.
What is the ratio of carbonates to sodium in baking soda?
A
The ratio is 1:1.
B
The ratio is 1:3.
C
The ratio is 3:1.
D
The ratio is 3:5.
Page 7
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CASE 6th Grade Math
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19. Lola marks the location of her school at (-2, -5) and the library at (7, -5) on the grid.
Each unit on the grid represents 1 mile.
5 miles
B
7 miles
C
9 miles
D
10 miles
Dr
A
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What is the distance, in miles, between Lola’s school and the library?
20. Two teachers, Mr. Edwards and Ms. Blevins, tutor after school. The table shows how
many hours Mr. Edwards tutors and how much money he earns.
Hours Tutored
2
3.5
Money Earned
$60
$105
Ms. Blevins charges $5 more per hour than Mr. Edwards. Which equation represents
Ms. Blevins’ earnings (M ) in relation to the number of hours she works (t ), and how
much does Ms. Blevins charge for tutoring for 4 hours?
A
M = 35t ; $140
B
M = 30t ; $120
C
M = 25t ; $100
D
M = 20t ; $80
Page 8
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CASE 6th Grade Math
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21. A teacher writes four different expressions on the board. He asks four of his students
to identify the expressions that are equivalent. The students’ responses are shown in
the table.
1
2
3
4
Student
Adele
Diana
Kyle
Maddox
Expression
5x + 3x
(5x − 2x ) + 6x
3(x + x + x )
3x + 5x
Response
Expression 1 and Expression 3
Expression 1 and Expression 4
Expression 2 and Expression 3
Expression 2 and Expression 4
Which students correctly identify the equivalent expressions, and why?
Adele and Kyle; equivalent expressions have the same variable.
B
Adele and Maddox; equivalent expressions have the same number of terms.
C
Diana and Kyle; equivalent expressions simplify to the same value for any value of the
variable.
D
Diana and Maddox; equivalent expressions simplify to the same value for any value of the
variable.
Dr
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A
22. The line plot shows the numbers of songs downloaded on 10 students’ phones.
What is the mean of the data?
A
50 songs
B
140 songs
C
150 songs
D
250 songs
Page 9
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CASE 6th Grade Math
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23. On a map, the town hall is located at (1, 4), the school is located at (7, 4), the
recreational center is located at (7, -2), and the library is located at (1, -2).
What is the distance, in units, from the town hall to the library?
2 units
B
4 units
C
6 units
D
8 units
Dr
A
24. Madison wants to buy a guitar. She starts saving $35 each month.
Which equation represents Madison’s savings (s ) after n months?
A
s = 35n
B
n = 35s
C
s = n + 35
D
n = s + 35
Page 10
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CASE 6th Grade Math
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25. Isabella recorded the low est temperature each day for 30 days. The data shown
represents the low temperature recorded each day.
2, 3, 3, 4, 7, 8, 11, 12, 12, 13, 14, 14, 15, 16, 17, 17,
18, 18, 19, 19, 20, 21, 24, 25, 25, 26, 27, 28, 28, 29
Which histogram represents the same set of data?
C
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A
D
Dr
B
26. In Mr. Whitener’s class, 7 out of 35 students play middle school basketball. What
percent of students in Mr. Whitener’s class play middle school basketball?
A
7%
B
20%
C
35%
D
80%
Page 11
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CASE 6th Grade Math
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27. Zahara creates a rectangle with a length of 6 units and a width of 11 units. The
rectangle represents the floor plan of her bedroom. Zahara pays $264 to cover her
bedroom floor with carpet.
If each square unit represents 1 square foot, what is the unit price of 1 square foot of
carpet?
A
$2.00 per square foot
B
$3.00 per square foot
C
$4.00 per square foot
D
$8.00 per square foot
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28. The dot plot shows the math scores for a group of students.
What is the range of the data?
40
B
60
C
100
D
160
Dr
A
29. Kyle wants to find the area of the dance floor at his winter formal.
4 feet
What is the area of the dance floor?
A
21 feet2
B
28 feet2
C
34 feet2
D
35 feet2
Page 12
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CASE 6th Grade Math
Do Not Reproduce
30. Mark wants to purchase a calculator for school. He has $35 in his savings account.
Mark knows the calculator costs no more than $80. The inequality x + 35 ≤ 80
represents the cost of the calculator (x ).
Which value(s) is (are) in the solution set of the inequality x + 35 ≤ 80? Select ALL
that apply.
A
25
B
40
C
46
D
85
E
114
F
132
Dr
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31. If point M is reflected across the y -axis, what is the x -coordinate of the reflected
point?
A
9
B
2
C
-2
D
-9
Page 13
M
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CASE 6th Grade Math
Do Not Reproduce
Use the table to answer questions 32-33.
Blake wants to invest in the stock market. The table shows the net changes of six major
companies.
Company Name
Care Kingdom
Kit and Kaboodle
Piedmont Lighting
Rock Palace
Sand Dreams
Willow Electrics
Net Change
+0.12
-1.90
+0.03
-0.10
+2.20
-1.04
A
Kit and Kaboodle
B
Piedmont Lighting
C
Sand Dreams
D
Willow Electrics
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32. On a number line, which company’s net change is between Care Kingdom and Rock
Palace?
33. Which company had the greatest net change?
Kit and Kaboodle
B
Piedmont Lighting
C
Sand Dreams
D
Willow Electrics
Dr
A
34. Ms. Ventura analyzes the scores her 30 students earn on their math exam. The results
were a mean score of 78 out of 100, a median score of 82, and a range of 33.
Which statement must be true about the scores the students earned?
A
The highest score earned by any student was an 82.
B
The lowest score earned by any student was a 33.
C
50% of the students earned a 78 or higher.
D
50% of the students earned an 82 or higher.
Page 14
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CASE 6th Grade Math
Do Not Reproduce
Use the information given to answer questions 35-36.
Brody has a collection of 300 basketball and baseball trading cards. He has 180 baseball
cards.
35. Which equation is set up correctly to determine how many basketball cards (k ) are in
Brody’s collection?
A
k – 180 = 300
B
k + 300 = 180
C
300 – 180 = k
D
300 + 180 = k
180 cards
B
270 cards
C
300 cards
D
450 cards
Dr
A
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36. Brody’s friend, Lucas, has 150% of the amount of trading cards Brody has in his entire
collection. How many trading cards does Lucas have?
37. Nia surveys 12 classmates to find how many pets are in each household. Her results
are presented on the board.
0, 4, 2, 1, 2, 2, 1, 3, 3, 0, 1, 1
Which box plot best displays the data?
A
C
B
D
Page 15
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CASE 6th Grade Math
Do Not Reproduce
38. The net of a pyramid with a square base is shown.
15 in.
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12 in.
What is the surface area of the pyramid?
144 in.2
B
234 in.2
C
360 in.2
D
504 in.2
Dr
A
END OF CALCULATOR ACTIVE SECTION
DIRECTIONS:
• When you have completed the calculator active questions,
put your scratch paper inside the test booklet, and close the
test booklet. Keep your answer document on your desk.
• Place your calculator on top of the test booklet.
• Raise your hand, and your teacher will collect your
calculator.
• When instructed, read and follow the directions for the
Calculator Inactive Section.
Page 16
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CASE 6th Grade Math
Do Not Reproduce
CALCULATOR INACTIVE
af
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The items in this test are based on the Louisiana State
Standards for Mathematics.
Dr
DIRECTIONS FOR THE CALCULATOR INACTIVE SECTION
OF THE TEST:
• Calculators may not be used during this test.
• Read each problem carefully.
• Choose the best answer from the choices given.
• Fractions in some answer choices may have been
simplified. Check each answer choice to see if this has
been done.
• Diagrams used in the test may not be drawn to scale.
• Stop when you see the words “STOP. END OF
CALCULATOR INACTIVE SECTION.”
• At this time, you can check your answers for THIS
SECTION ONLY.
Page 17
Go to the next page
CASE 6th Grade Math
Do Not Reproduce
39. A can of green beans contains 38 ounces. One ounce is equal to
How many pounds are in a can of green beans?
A
2
B
2
C
2
D
2
1
16
1
8
3
16
3
pound.
𝟏𝟏𝟏𝟏
pounds
pounds
pounds
pounds
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8
𝟏𝟏
40. Javier collects football cards. Each week he purchases a pack of football cards. Each
pack contains 9 regular football cards and 1 holographic football card.
Which statement about the pack of football cards is correct?
The ratio of total football cards to regular football cards is 9:1.
B
The ratio of regular football cards to holographic football cards is 9:10.
C
The ratio of total football cards to holographic football cards is 10:1.
D
The ratio of regular football cards to total football cards is 10:9.
Dr
A
41. A student cuts out a rectangular strip of paper that has an area of
the width of the paper strip is
A
B
C
D
2
meter
3
meter
7
meter
10
meters
15
10
15
3
Page 18
𝟏𝟏
𝟓𝟓
𝟐𝟐
𝟑𝟑
square meter. If
meter, what is the length of the strip, in meters?
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CASE 6th Grade Math
Do Not Reproduce
42. Points X and Y are marked on the number line as shown.
Y
X
0
-2
2
Which statement about the locations of points X and Y is not correct?
Point X is opposite of point Y.
B
Point X is a reflection of point Y about 0.
C
Point X is -(-2).
D
Point Y is -(-2).
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A
43. Which statement comparing the values and locations of -4 and -7 on a number line is
correct?
-4 > -7 because -4 lies to the right of -7 on a number line.
B
-4 < -7 because -4 lies to the right of -7 on a number line.
C
-4 > -7 because -4 lies to the left of -7 on a number line.
D
-4 < -7 because -4 lies to the left of -7 on a number line.
Dr
A
44. Shanice wants to use the Distributive Property to rewrite 72 + 54. Which
expression(s) could she use? Select ALL that apply.
Page 19
A
18(4 + 3)
B
9(8 + 18)
C
7(2 + 4)
D
6(12 + 9)
E
4(7 + 5)
F
2(7 + 54)
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CASE 6th Grade Math
Do Not Reproduce
45. Ms. Piner asks her class which x -value satisfies the equation 4x = 20. Four students’
answers are listed on the board.
Name
Answer
Ian
x = 20
Stella
x =6
Xiao
x =5
Zoe
x = 16
Which student’s answer is correct, and why?
Ian is correct because 4(20) = 20.
B
Stella is correct because 4(6) = 20.
C
Xiao is correct because 4(5) = 20.
D
Zoe is correct because 4(16) = 20.
Dr
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A
DIRECTIONS FOR THE GRIDDED RESPONSE SECTION OF
THE TEST:
• Questions 1 through 5 require you to write your answers in
the boxes provided on the back of your answer document.
• Write only the number or symbol in each box, and fill in the
circle in each column that matches what you have printed.
• Fill in only 1 circle in each column.
1.
What is 7,872 ÷ 64?
Page 20
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CASE 6th Grade Math
2.
Mr. Blankenship has
Do Not Reproduce
𝟑𝟑
𝟖𝟖
pound of candy to give to the top 3 finalists in the spelling bee.
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If each finalist receives an equal amount, what decimal to the nearest thousandth
represents how many pounds of candy each finalist will receive?
During a field trip, a group of students travel 12.5 miles by bus and 6.75 miles by
train. What is the total distance traveled, in miles, written as a decimal to the nearest
hundredth?
4.
What is the value of 2 × 34?
Dr
3.
Page 21
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CASE 6th Grade Math
5.
Do Not Reproduce
A right rectangular prism has edges of 8 feet, 4 feet, and
𝟏𝟏
𝟐𝟐
foot.
𝟏𝟏
𝟐𝟐
ft
4 ft
8 ft
𝟏𝟏
𝟐𝟐
foot would be needed to fill the prism?
Dr
af
t
How many cubes with side lengths of
END OF CALCULATOR INACTIVE SECTION
DIRECTIONS:
• When you have completed the calculator inactive questions,
you can check your answers for THIS SECTION ONLY.
• When finished, put your scratch paper inside the test
booklet, and close the test booklet. Keep your answer
document on your desk.
• When instructed, turn in the test booklet, answer
document, and all your work.
Page 22