NAEP Items Aligned to
West Virginia’s Next Generation
Content Standards & Objectives
Mathematics • Grade 8
Multiple Choice
NAEP
WEST VIRGINIA
NATIONAL ASSESSMENT
OF EDUCATIONAL
PROGRESS
nextgeneration
west virginia content standards & objectives
West Virginia Board of Education
2013-2014
Gayle C. Manchin, President
Michael I. Green, Vice President
Robert W. Dunlevy, Secretary
Thomas W. Campbell, Member
Tina H. Combs, Member
Lloyd G. Jackson II, Member
L. Wade Linger Jr., Member
William M. White, Member
Paul L. Hill, Ex Officio
Chancellor
West Virginia Higher Education Policy Commission
James L. Skidmore, Ex Officio
Chancellor
West Virginia Council for Community and Technical College Education
James B. Phares, Ex Officio
State Superintendent of Schools
West Virginia Department of Education
User Guide
This document contains released items from past NAEP assessments, which have been
aligned to the Common Core State Standards. Please note: the items do not always
align to a Common Core State Standard in the same grade as assessed.
Each item can be found online using the NAEP Questions Tool
(http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). The NAEP Questions Tool
allows items to be downloaded as Microsoft Word. To assist in locating each item
online, the following information has been provided for each item:
 NAEP assessment year
 Assessed grade
 Block code
 Question number
Each item includes the following information:
 NAEP Questions Tool search parameter
 Common Core State Standards and West Virginia Next Generation CSO
alignment
 Text of item
 Performance data for public school students in West Virginia and national public,
including the percentage of students selecting each multiple choice option.
 Correct answer is shaded.
Suggested uses for information:
 Review items in context of instruction provided. Determine if instruction is
reaching the depth of knowledge necessary.
 Review distractors to determine the misconception revealed by each selection.
Determine how instruction can address the misconception prior to assessment.
 Use items with students, for example, as “bell ringers” or assessment items.
 Develop items of similar rigor to use with students during instruction or as
assessment tools.
1
NAEP 2011 Grade 8 Block M12 #5
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2011 Grade 8
Block M12 #5.
Common Core State Standards and WV Next Generation CSOs alignment for 2011
Grade 8 Block M12 #5 is shown in the table below.
Common Core State Standards
7.EE.B.4
WV Next Generation CSOs
M.7.EE.4
Robert has x books. Marie has twice as many books as Robert has. Together they have
18 books. Which of the following equations can be used to find the number of books
that Robert has?
A.
B.
C.
D. 2
E. 2
2
18
2 18
2
18
18
2
18
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
9%
4%
39%
44%
4%
1%
National
Public
7%
3%
52%
36%
2%
1%
2
NAEP 2011 Grade 8 Block M12 #12
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2011 Grade 8
Block M12 #12.
Common Core State Standards and WV Next Generation CSOs alignment for 2011
Grade 8 Block M12 #12 is shown in the table below.
Common Core State Standards
8.EE.C.7b
WV Next Generation CSOs
M.8.EE.7
The point (4, k) is a solution to the equation 3
A.
B.
C.
D.
E.
2
12. What is the value of k ?
-3
0
2
3
4
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
7%
17%
30%
32%
13%
1%
National
Public
7%
32%
23%
25%
13%
2%
3
NAEP 2011 Grade 8 Block M12 #15
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2011 Grade 8
Block M12 #15.
Common Core State Standards and WV Next Generation CSOs alignment for 2011
Grade 8 Block M12 #15 is shown in the table below.
Common Core State Standards
8.F.B.4
WV Next Generation CSOs
M.8.F.4
The number of gallons of water, y , in a tank after x hours may be modeled by the linear
equation
800 50 . Which of the following statements about the tank is true?
A.
B.
C.
D.
E.
It is filling at a rate of 800 gallons per hour.
It is filling at a rate of 50 gallons per hour.
It is emptying at a rate of 16 gallons per hour.
It is emptying at a rate of 50 gallons per hour.
It is emptying at a rate of 800 gallons per hour.
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
13%
20%
16%
42%
8%
0%
National
Public
11%
22%
13%
48%
6%
1%
4
NAEP 2011 Grade 8 Block M12 #17
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2011 Grade 8
Block M12 #17.
Common Core State Standards and WV Next Generation CSOs alignment for 2011
Grade 8 Block M12 #17 is shown in the table below.
Common Core State Standards
7.NS.A.3
If
0 and ,
A.
B.
C.
D.
E.
0
WV Next Generation CSOs
M.7.NS.3
0 which of the following must be true?
0
0
0
0
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
20%
21%
9%
34%
15%
0%
National
Public
18%
27%
9%
31%
14%
0%
5
NAEP 2007 Grade 8 Block M7 #8
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2007 Grade 8
Block M7 #8.
Common Core State Standards and WV Next Generation CSOs alignment for 2007
Grade 8 Block M7 #8 is shown in the table below.
Common Core State Standards
7.EE.B.4b
WV Next Generation CSOs
M.7.EE.4
Peter bought 45 sheets of plywood at a total cost of $400. He plans to sell each sheet of
plywood for $15. If Peter has no other expenses, what is the fewest number of sheets
he must sell to make a profit?
A.
B.
C.
D.
E.
3
15
16
26
27
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
14%
8%
7%
17%
53%
1%
National
Public
14%
9%
7%
17%
53%
1%
6
NAEP 2007 Grade 8 Block M7 #15
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2007 Grade 8
Block M7 #15.
Common Core State Standards and WV Next Generation CSOs alignment for 2007
Grade 8 Block M7 #15 is shown in the table below.
Common Core State Standards
7.RP.A.2c
Mon.
Number Sold, n
4
Profit, p
WV Next Generation CSOs
M.7.RP.2
Tues. Wed. Thurs.
0
5
2
Fri.
Sat.
3
6
$2.00 $0.00 $2.50 $1.00 $1.50 $3.00
Angela makes and sells special-occasion greeting cards. The table above shows the
relationship between the number of cards sold and her profit. Based on the data in the
table, which of the following equations shows how the number of cards sold and profit
(in dollars) are related?
A.
B.
C.
D.
E.
p=2n
p = 0.5 n
p= n-2
p=6- n
p= n+1
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
17%
45%
19%
10%
8%
0%
National
Public
17%
53%
14%
9%
6%
1%
7
NAEP 2007 Grade 8 Block M11 #15
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2007 Grade 8
Block M11 #15.
Common Core State Standards and WV Next Generation CSOs alignment for 2007
Grade 8 Block M1 #15 is shown in the table below.
Common Core State Standards
8.EE.C.7
WV Next Generation CSOs
M.8.EE.7
At the school carnival, Carmen sold 3 times as many hot dogs as Shawn. The two of
them sold 152 hot dogs altogether. How many hot dogs did Carmen sell?
A.
B.
C.
D.
E.
21
38
51
114
148
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
4%
14%
28%
46%
7%
2%
National
Public
3%
16%
28%
46%
5%
2%
8
NAEP 2007 Grade 8 Block M11 #19
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2007 Grade 8
Block M11 #19.
Common Core State Standards and WV Next Generation CSOs alignment for 2007
Grade 8 Block M11 #19 is shown in the table below.
Common Core State Standards
7.RP.A.3
WV Next Generation CSOs
M.7.RP.3
An airplane climbs at a rate of 66.8 feet per minute. It descends at twice the rate that it
climbs. Assuming it descends at a constant rate, how many feet will the airplane
descend in 30 minutes?
A.
B.
C.
D.
E.
96.8
133.6
1,002
2,004
4,008
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
9%
20%
16%
28%
27%
0%
National
Public
7%
18%
11%
28%
36%
0%
9
NAEP 2005 Grade 8 Block M3 #10
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2005 Grade 8
Block M3 #10.
Common Core State Standards and WV Next Generation CSOs alignment for 2005
Grade 8 Block M3 #10 is shown in the table below.
Common Core State Standards
6.EE.C.9
WV Next Generation CSOs
M.6.EE.9
In the equation y = 4 x, if the value of x is increased by 2, what is the effect on the value
of y ?
A.
B.
C.
D.
E.
It is 8 more than the original amount.
It is 6 more than the original amount.
It is 2 more than the original amount.
It is 16 times the original amount.
It is 8 times the original amount.
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
27%
11%
45%
5%
11%
2%
National
Public
33%
9%
42%
4%
10%
2%
10
NAEP 2005 Grade 8 Block M3 #12
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2005 Grade 8
Block M3 #12.
Common Core State Standards and WV Next Generation CSOs alignment for 2005
Grade 8 Block M3 #12 is shown in the table below.
Common Core State Standards
7.NS.A.3
WV Next Generation CSOs
M.7.NS.3
According to the pattern suggested by the four examples above, how many consecutive
odd integers are required to give a sum of 144 ?
A.
B.
C.
D.
E.
9
12
15
36
72
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
12%
32%
28%
19%
7%
1%
National
Public
9%
39%
22%
20%
7%
2%
11
NAEP 2005 Grade 8 Block M12 #13
Additional questions and more information about this question can be found on the
NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In
the NAEP Questions Tool search, this mathematics question is from 2005 Grade 8
Block M12 #13.
Common Core State Standards and WV Next Generation CSOs alignment for 2005
Grade 8 Block M12 #13 is shown in the table below.
Common Core State Standards
7.NS.A.3
WV Next Generation CSOs
M.7.NS.3
1, 9, 25, 49, 81, ...
The same rule is applied to each number in the pattern above. What is the 6th number
in the pattern?
A.
B.
C.
D.
E.
40
100
121
144
169
A
B
C
D
E
Omitted
(Skipped)
West
Virginia
5%
18%
54%
13%
10%
1%
National
Public
4%
14%
59%
11%
10%
2%
12
James B. Phares, Ed.D.
State Superintendent of Schools