Grade 8 Mathematics

Answer Key

This booklet contains the answers to the sample items from the National Assessment of Educational Progress
(NAEP) included in the NAEP Grade 8 Mathematics Sample Questions Booklet. It also references the corresponding
Grade 8 Mathematics Common Core State Standards. Additional NAEP items can be accessed at
www.nces.ed.gov/nationsreportcard/itmrls.

SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics
(NCES), National Assessment of Educational Progress (NAEP).

This answer booklet and the corresponding Grade 8 Mathematics Sample Questions Booklet are posted at
http://www.fldoe.org/asp/naep/naep-pt.asp.
 NAEP GRADE 8 MATHEMATICS ANSWER KEY
CONTENTS
NAEP GRADE 8 MATHEMATICS ........................................................................................................................ 5
Question 1 - Translate from words to numbers .................................................................................................. 5
Question 2 - Identify expression that represents odd integer ............................................................................ 5
Question 3 - Use measuring cups to describe a fraction ..................................................................................... 6
Question 4 - Find wages earned .......................................................................................................................... 6
Question 5 - Recognize a counterexample about prime numbers ...................................................................... 6
Question 6 - Use estimation to find a difference ................................................................................................ 7
Question 7 - Identify pictorial representation of equivalent fractions ............................................................... 7
Question 8 - Identify operation resulting from odd integer ................................................................................ 7
Question 9 - Determine a quantity based on given percent ............................................................................... 8
Question 10 - Solve a story problem involving costs and profit .......................................................................... 8
Question 11 - Divide large numbers in a given context....................................................................................... 8
Question 12 - Identify fractions listed in ascending order .................................................................................. 9
Question 13 - Identify number rounded to nearest hundred ............................................................................. 9
Question 14 - Estimate time given rate and distance ......................................................................................... 9
Question 15 - Determine distance given rate and time .................................................................................... 10
Question 16 - Use number properties to determine the parity of an unknown number. ................................ 10
Question 17 - Determine a number that satisfies given conditions. ................................................................. 11
NAEP Grade 8 Algebra ............................................................................................................................... 12
Question 1 - Identify equation modeling a scenario ......................................................................................... 12
Question 2 - Identify a non-equivalent equation .............................................................................................. 12
Question 3 - Evaluate equation for a given value in context ............................................................................ 13
Question 4 - Identify equation modeling perimeter ......................................................................................... 13
Question 5 - Determine equation to model a situation .................................................................................... 13
Question 6 - Determine equation of a line given a point and the slope ........................................................... 14
Question 7 - Find interval of largest change on graph ...................................................................................... 14
Question 8 - Find solution to equation .............................................................................................................. 14
Question 9 - Interpret a linear equation in content .......................................................................................... 15
Question 10 - Recognize effect of sign on operations ....................................................................................... 15
Question 11 - Write expression to calculate cost .............................................................................................. 15
Question 12 - Find the next term in a geometric sequence .............................................................................. 16

2
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP Grade 8 Measurement ...................................................................................................................... 18
Question 1 - Determine distance using similar triangles ................................................................................... 18
Question 2 - Convert dollars to yen ................................................................................................................... 18
Question 3 - Find area of irregular-shaped region on a grid ............................................................................. 19
Question 4 - Recognize a unit of volume ........................................................................................................... 19
Question 5 - Convert between units of measurement ...................................................................................... 19
Question 6 - Solve arithmetic problem involving time ...................................................................................... 20
Question 7 - Determine possible dimensions of rectangle given area.............................................................. 20
Question 8 - Determine area of a right trapezoid ............................................................................................. 20
Question 9 - Solve story problem involving milliliters and liters ....................................................................... 21
Question 10 - Determine degree measure formed by clock hands .................................................................. 21
Question 11 - Estimate side length of a square given area ............................................................................... 21
Question 12 - Recognize unit associated with specific attribute ...................................................................... 22
Question 13 - Determine dimensions that give greatest volume ..................................................................... 22
Question 14 - Approximate the length of the radius of a circle ........................................................................ 22
Question 15 - Find length of a rectangle given perimeter and width ............................................................... 23
Question 16 - Determine value of marks on scale............................................................................................. 23
Question 17 - Determine how many tiles would cover a table top. ................................................................. 24
NAEP Grade 8 Geometry ............................................................................................................................ 26
Question 1 - Reflect a figure over a line ............................................................................................................ 26
Question 2 - Determine how three lines are related ........................................................................................ 26
Question 3 - Analyze subdivision of regular polygons ....................................................................................... 27
Question 4 - Compare similar parallelograms ................................................................................................... 27
Question 5 - Identify net that folds into box ..................................................................................................... 27
Question 6 - Determine radius of a circle inscribed in a square........................................................................ 28
Question 7 - Identify students who correctly classify a figure .......................................................................... 28
Question 8 - Identify image of figure after rotation .......................................................................................... 28
Question 9 - Determine coordinates after reflection ........................................................................................ 29
Question 10 - Find length of hypotenuse .......................................................................................................... 29
Question 11 - Determine number of edges in a 3-D figure ............................................................................... 29
Question 12 - Identify side with same length in congruent figures .................................................................. 30
Question 13 - Identify piece used to form figure .............................................................................................. 30
Question 14 - Sketch polygon based on description. ........................................................................................ 31
Question 15 - Find container height given dimension of contents. .................................................................. 32

3
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP Grade 8 Data Analysis and Probability............................................................................................... 34
Question 1 - Make an inference given a probability ......................................................................................... 34
Question 2 - Find how many 3-digit numbers can be written ........................................................................... 34
Question 3 - Use experimental results to make a prediction ............................................................................ 34
Question 4 - Determine the probability of a particular outcome ..................................................................... 35
Question 5 - Read and interpret information in a graph ................................................................................... 35
Question 6 - Identify which statistic is represented by response ..................................................................... 35
Question 7 - Determine most appropriate graph for a situation ...................................................................... 36
Question 8 - Find total cost based on unit price for a quantity......................................................................... 36
Question 9 - Determine an expected outcome ................................................................................................. 36
Question 10 - Find number of combinations satisfying a condition.................................................................. 37
Question 11 - Explain a probability concept...................................................................................................... 37
Question 12 - Explain which statistic is best in given situation. ........................................................................ 38

Mathematics Common Core (MACC) State Standards (CCSS) Domains

EE = Expressions and Equations F = Functions
G = Geometry MD = Measurement and Data
NBT = Number and Operations in Base Ten NF = Number and Operations Fractions
NS = Number Systems OA = Operations and Algebraic Thinking
RP = Ratios and Proportional Relationships SP = Statistics and Probability

4
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP GRADE 8 MATHEMATICS
Alignment to Mathematics Common Core (MACC) State Standards (CCSS) and
Answers to NAEP Sample Questions

NAEP Grade 8 Number Properties and Operations

Question 1, MACC.5.NBT.1.3
Description: Translate from words to numbers
Difficulty: Easy
Complexity: Low
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 59%
A 1%
B 8%
C 11%
E 21%

Question 2, MACC.6.EE.1.2
Description: Identify expression that represents odd integer
Difficulty: Medium
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 38%
A 20%
B 5%
D 25%
E 11%

5
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 3, MACC.5.NF.1.2 and MACC.5.NF.2.4
Description: Use measuring cups to describe a fraction
Difficulty: Easy
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 76%
A 3%
B 6%
D 8%
E 6%

Question 4, MACC.6.NS.2.2 and MACC.6.NS.2.3

Description: Find wages earned
Difficulty: Easy
Complexity: Moderate
Correct Answer is D

Answers Percent chosen by Florida’s participating students

*D 67%
A 6%
B 6%
C 13%
E 7%

Question 5, MACC.4.OA.2.4
Description: Recognize a counterexample about prime numbers
Difficulty: Medium
Complexity: Moderate
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 42%
B 5%
C 7%
D 25%
E 21%
6
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 6, MACC.4.NBT.2.4
Description: Use estimation to find a difference
Difficulty: Easy
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 82%
A 4%
C 4%
D 8%

Question 7, MACC.3.NF.1.3
Description: Identify pictorial representation of equivalent fractions
Difficulty: Easy
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 70%
B 10%
C 6%
D 13%

Question 8, MACC.7.NS.1.1 and MACC.7.NS.1.2

Description: Identify operation resulting from odd integer
Difficulty: Hard
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 35%
B 15%
C 13%
D 18%
E 18%

7
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 9, MACC.6.RP.1.3
Description: Determine a quantity based on given percent
Difficulty: Easy
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 72%
A 12%
C 10%
D 4%
E 1%

Question 10, MACC.6.NS.2.2, MACC.5.NBT.2.5, and MASS.7.EE.2.4b

Description: Solve a story problem involving costs and profit
Difficulty: Medium
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 50%
A 16%
B 11%
C 6%
D 17%

Question 11, MACC.6.NS.2.3 and MACC.8.EE.1.4

Description: Divide large numbers in a given context
Difficulty: Medium
Complexity: Low
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 50%
A 25%
B 5%
C 6%
E 12%
8
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 12, MACC.4.NF.1.2 and MACC.7.NS.1.2d
Description: Identify fractions listed in ascending order
Difficulty: Medium
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 50%
B 18%
C 8%
D 7%
E 16%

Question 13, MACC.3.NBT.1.1

Description: Identify number rounded to nearest hundred
Difficulty: Medium
Complexity: Low
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 55%
A 7%
B 4%
C 21%
E 11%

Question 14, MACC.3.NBT.1.1, MACC.4.NBT.2.6, and MACC.4.MD.1.2

Description: Estimate time given rate and distance
Difficulty: Easy
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 66%
A 11%
C 14%
D 5%
E 3%
9
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 15, MACC.6.NS.2.3 and MACC.7.RP.1.3
Description: Determine distance given rate and time
Difficulty: Hard
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 33%
A 8%
B 22%
C 11%
D 27%

Question 16, MACC.4.OA.1.3 and MACC.4.OA.3.5

Description: Use number properties to determine the parity of an unknown number
Difficulty: Hard
Complexity: Moderate

Sample Correct Response:

The fourth number would be any number ending in 1, 3, 5, 7, or 9 (i.e., could be any odd number,
including saying "an(y) odd number.").
Explanation:
The sum of 4, 0, 1, 2, and 9 (the numbers visible in the ones column) is 16. In order for the sum of the six
numbers to be odd, an odd number must be added (since an even number plus an odd number equals
an odd number). Therefore, the missing number must be odd.

Note(s):
A correct response must contain 3 elements:
1. an odd number in the answer space (or the word(s) "odd" or "any odd number"),
2. an explanation or demonstration (in words or numerically) that the sum of the 5 visible numbers
is even (using either the units digits or the entire numbers), and
3. a reference to the fourth number being odd and/or to the sum of the 6 numbers being odd

Score & Description

Correct
Correct response
Partial
Response gives an odd number, but the accompanying explanation is insufficient.
Incorrect
Incorrect response includes an odd number answer with an incorrect or no explanation.
10
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 16, continued

Question 17, MACC.5.NBT.2.6

Description: Determine number that satisfies given conditions
Difficulty: Medium
Complexity: Moderate
Correct answer is 108
Score & Description
Correct
Correct response
Incorrect
Incorrect response

11
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP Grade 8 Algebra
Question 1, MACC.6.EE.2.6 and MACC.6.EE.3.9
Description: Identify equation modeling a scenario
Difficulty: Easy
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 70%
A 8%
C 10%
D 9%
E 4%

Question 2, MACC.6.EE.2.5
Description: Identify a non-equivalent equation
Difficulty: Medium
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 53%
B 8%
C 13%
D 5%
E 21%

12
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 3, MACC.6.EE.1.2c
Description: Evaluate equation for a given value in context
Difficulty: Medium
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 45%
A 4%
C 27%
D 12%
E 11%

Question 4, MACC.7.EE.2.4a
Description: Identify equation modeling perimeter
Difficulty: Medium
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 44%
B 11%
C 13%
D 17%
E 14%

Question 5, MACC.6.EE.2.6, MACC.6.EE.2.7, and MACC.7.EE.2.4

Description: Determine equation to model a situation
Difficulty: Medium
Complexity: Moderate
Correct answer C

Answers Percent chosen by Florida’s participating students

*C 50%
A 9%
B 2%
D 35%
E 3%
13
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 6, MACC.8.EE.2.6
Description: Determine equation of a line given a point and the slope
Difficulty: Hard
Complexity: Low
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 30%
A 11%
B 27%
C 10%
D 21%

Question 7, MACC.8.F.2.5
Description: Find interval of largest change on graph
Difficulty: Easy
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 69%
A 5%
B 6%
C 8%
D 11%

Question 8, MACC.6.EE.2.5 and MACC.8.EE.3.7b

Description: Find solution to equation
Difficulty: Hard
Complexity: Moderate
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 29%
A 5%
C 27%
D 25%
E 12%

14
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 9, MACC.7.EE.1.2, MACC.7.EE.2.4a, and MACC.8.F.2.4
Description: Interpret a linear equation in content
Difficulty: Medium
Complexity: Moderate
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 42%
A 12%
B 25%
C 16%
E 5%

Question 10, MACC.6.NS.3.6a, MACC.6.NS.3.7a, MACC.7.NS.1.1, MACC.7.NS.1.2a, and

MACC.7.NS.1.3
Description: Recognize effect of sign on operations
Difficulty: Hard
Complexity: Moderate
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 30%
A 20%
C 9%
D 31%
E 13%

Question 11, MACC.6.EE.2.6 and MACC.7.EE.2.4

Description: Find solution to equation
Difficulty: Hard
Complexity: Moderate

Sample Correct Response:

Answer: or or any other equivalent form

OR

cost or cost or any other equivalent form

15
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 11, continued
Score & Description
Correct
Correct response
Partial
An acceptable expression or equation for cost with one or more variables not defined
Incorrect
Incorrect response

Question 12, MACC.6.RP.1.3 and MACC.7.RP.1.2

Description: Find the next term in a geometric sequence
Difficulty: Hard
Complexity: Moderate

Solution:
17,920
Score & Description
Correct
Correct response
Incorrect
Incorrect response

16
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 12, continued

17
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP Grade 8 Measurement
Question 1, MACC.7.RP.1.2, MACC.7.RP.1.3, and MACC.8.G.1.4
Description: Determine distance using similar triangles
Difficulty: Hard
Complexity: Moderate
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 34%
A 22%
B 21%
D 17%
E 5%

Question 2, MACC.6.EE.2.7 and MACC.5.NBT.2.5

Description: Convert dollars to yen
Difficulty: Hard
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 30%
A 7%
B 25%
C 19%
D 18%

18
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 3, MACC.7.G.2.6, MACC.5.NBT.2.5, and MACC.4.NBT.2.5
Description: Find area of irregular-shaped region on a grid
Difficulty: Medium
Complexity: Moderate
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 43%
A 10%
B 13%
C 19%
E 14%

Question 4, MACC.4.MD.1.1 and MACC.4.MD.1.2

Description: Recognize a unit of volume
Difficulty: Medium
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 55%
A 8%
B 18%
D 14%
E 5%

Question 5, MACC.6.NS.2.3 and MACC.5.MD.1.1

Description: Convert between units of measurement
Difficulty: Medium
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 43%
A 9%
B 24%
C 11%
D 12%
19
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 6, MACC.5.MD.1.1 and MACC.6.RP.1.3d
Description: Solve arithmetic problem involving time
Difficulty: Medium
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 52%
A 10%
B 30%
D 8%

Question 7, MACC.4.OA.2.4 and MACC.3.MD.3.7

Description: Determine possible dimensions of rectangle, given area
Difficulty: Easy
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 69%
B 8%
C 10%
D 5%
E 8%

Question 8, MACC.6.G.1.1
Description: Determine area of a right trapezoid
Difficulty: Hard
Complexity: Moderate
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 17%
A 17%
B 34%
D 20%
E 10%
20
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 9, MACC.5.MD.1.1 and MACC.6.NS.2.2
Description: Solve story problem involving milliliters and liters
Difficulty: Hard
Complexity: Moderate
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 34%
A 31%
B 9%
D 9%
E 15%

Question 10, MACC.5.G.2.4, MACC.6.RP.1.1, and MACC.6.RP.1.2

Description: Determine degree measure formed by clock hands
Difficulty: Medium
Complexity: Low
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 52%
A 11%
B 19%
C 10%
E 3%

Question 11, MACC.8.NS.1.1, MACC.8.NS.1.2, and MACC.4.MD.1.3

Description: Estimate side length of a square given area
Difficulty: Medium
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 42%
A 7%
B 24%
D 7%
E 18%
21
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 12, MACC.3.MD.3.5a and MACC.4.MD.1.1
Description: Recognize unit associated with specific attribute
Difficulty: Easy
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 72%
A 12%
C 11%
D 3%
E 2%

Question 13, MACC.5.NBT.2.5, MACC.5.MD.3.3, and MACC.5.MD.3.5

Description: Determine dimensions that give greatest volume
Difficulty: Easy
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 76%
B 8%
C 8%
D 6%
E 2%

Question 14, MACC.7.G.2.4, MACC.7.NS.1.2, and MACC.6.NS.2.3

Description: Approximate the length of the radius of a circle
Difficulty: Hard
Complexity: Moderate
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 21%
A 2%
B 8%
D 43%
E 25%
22
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 15, MACC.7.EE.2.4a and MACC.4.MD.1.3
Description: Find length of a rectangle given perimeter and width
Difficulty: Hard
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 40%
A 18%
B 11%
D 10%
E 18%

Question 16, MACC.4.MD.2.4 and MACC.5.MD.2.2

Description: Determine value of marks on scale
Difficulty: Medium
Complexity: Low
Solution:

pounds

Score & Description

Correct
Correct response

Incorrect
Incorrect response

23
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 17, MACC.6.G.1.1
Description: Determine how many tiles would cover a table top
Difficulty: Hard
Complexity: Moderate
Solution:
200 or 200 tiles
Score & Description
Correct
Correct response

Incorrect
1,000

Incorrect
Any incorrect response other than 1,000.

24
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Incorrect 1 refers to responses of 1000. Incorrect 2 refers to other incorrect responses.

25
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP Grade 8 Geometry
Question 1, MACC.8.G.1.1 and MACC.8.G.1.2
Description: Reflect a figure over a line
Difficulty: Medium
Complexity: Low
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 54%
A 19%
B 10%
C 9%
E 8%

Question 2, MACC.8.G.1.1c
Description: Determine how three lines are related
Difficulty: Easy
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 60%
A 7%
B 16%
D 8%
E 8%

26
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 3, MACC.4.G.1.3
Description: Analyze subdivision of regular polygons
Difficulty: Hard
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 32%
A 10%
B 12%
C 14%
D 30%

Question 4, MACC.7.RP.1.2, MACC.7.RP.1.3, and MACC.8.G.1.4

Description: Compare similar parallelograms
Difficulty: Medium
Complexity: Low
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 45%
A 4%
B 4%
C 7%
D 39%

Question 5, MACC.6.G.1.4
Description: Identify net that folds into box
Difficulty: Medium
Complexity: Moderate
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 53%
A 11%
B 8%
C 9%
E 19%
27
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 6, MACC.7.G.2.4 and MACC.3.MD.3.5
Description: Determine radius of a circle inscribed in a square
Difficulty: Medium
Complexity: Moderate
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 58%
A 2%
B 16%
C 11%
E 13%

Question 7, MACC.5.G.2.3 and MACC.5.G.2.4

Description: Identify students who correctly classify a figure
Difficulty: Hard
Complexity: Moderate
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 24%
A 29%
B 19%
C 14%
D 14%

Question 8, MACC.8.G.1.2
Description: Identify image of figure after rotation
Difficulty: Easy
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 77%
B 8%
C 1%
D 6%
E 8%

28
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 9, MACC.6.NS.3.6b
Description: Determine coordinates after reflection
Difficulty: Hard
Complexity: Low
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 34%
A 30%
C 18%
D 7%
E 10%

Question 10, MACC.8.G.2.7

Description: Find length of hypotenuse
Difficulty: Medium
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 36%
A 7%
B 19%
D 31%
E 4%

Question 11, MACC.6.G.1.4

Description: Determine number of edges in a 3-D figure
Difficulty: Medium
Complexity: Low
Correct answer is E

Answers Percent chosen by Florida’s participating students

*E 45%
A 1%
B 13%
C 39%
D 2%

29
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 12, MACC.8.G.1.2
Description: Identify side with same length in congruent figures
Difficulty: Easy
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 73%
A 6%
B 2%
D 14%
E 4%

Question 13, MACC.8.G.1.2

Description: Identify piece used to form figure
Difficulty: Medium
Complexity: Moderate
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 46%
B 13%
C 21%
D 7%
E 13%

30
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 14, MACC.4.G.1.1
Description: Sketch polygon based on description
Difficulty: Easy
Complexity: Moderate

Solution:
Sample Correct Response:

Score & Description

Correct
Correct response

Partial
Drawing is a 4-sided figure with only one pair of sides correct.

Incorrect
Incorrect response

31
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 15, MACC.7.G.1.2 and MACC.8.G.3.9

Description: Find container height given dimensions of contents

Difficulty: Hard
Complexity: Moderate

Solution:
18 centimeters
Each ball has a diameter of 6 centimeters (2 times the radius of 3) and 3 balls x 6 centimeters/ball = 18
centimeters
(Explanation may include a figure or statement that shows a visual understanding of the question.)

Score & Description

Correct
Correct response, which will include both 18 centimeters and the correct diagram or a complete
explanation

Partial
18 centimeters with incomplete, incorrect, or missing diagram or explanation

Correct supporting diagram/explanation with incorrect height

OR
Correct diagram or explanation

Incorrect
Incorrect response

32
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 15, continued

33
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
 NAEP Grade 8 Data Analysis and Probability
Question 1, MACC.7.SP.3.5 and MACC.7.SP.3.6
Description: Make an inference given a probability
Difficulty: Easy
Complexity: Moderate
Correct answer is A
Answers Percent chosen by Florida’s participating students
*A 62%
B 6%
C 8%
D 5%
E 19%

Question 2, MACC.4.OA.3.5
Description: Find how many 3-digit numbers can be written
Difficulty: Easy
Complexity: Low
Correct answer is B
Answers Percent chosen by Florida’s participating students
*B 62%
A 14%
C 13%
D 8%
E 3%

Question 3, MACC.7.SP.3.5 and MACC.7.SP.3.6

Description: Determine the probability of a particular outcome
Difficulty: Easy
Complexity: Low
Correct answer is B
Answers Percent chosen by Florida’s participating students
*D 77%
A 5%
B 5%
C 12%
34
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 4, MACC.7.SP.3.5 and MACC.7.SP.3.6
Description: Use experimental results to make a prediction
Difficulty: Hard
Complexity: Moderate
Correct answer is D

Answers Percent chosen by Florida’s participating students

*D 29%
A 4%
B 11%
C 46%
E 9%

Question 5, MACC.4.MD.1.2
Description: Read and interpret information in a graph
Difficulty: Medium
Complexity: Moderate
Correct answer is B

Answers Percent chosen by Florida’s participating students

*B 38%
A 14%
C 20%
D 19%
E 8%

Question 6, MACC.6.SP.2.5c
Description: Identify which statistic is represented by response
Difficulty: Medium
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 69%
A 13%
B 7%
D 7%
E 3%

35
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 7, MACC.5.G.1.2
Description: Determine most appropriate graph for a situation
Difficulty: Easy
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 83%
A 4%
B 5%
D 3%
E 5%

Question 8, MACC.7.NS.1.3
Description: Find total cost based on unit price for a quantity
Difficulty: Easy
Complexity: Low
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 80%
A 6%
B 6%
D 6%
E 2%

Question 9, MACC.7.SP.3.5 and MACC.7.SP.3.6

Description: Determine an expected outcome
Difficulty: Medium
Complexity: Low
Correct answer is A

Answers Percent chosen by Florida’s participating students

*A 58%
B 15%
C 17%
D 5%
E 5%

36
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 10, MACC.4.OA.3.5
Description: Find number of combinations satisfying a condition
Difficulty: Hard
Complexity: Moderate
Correct answer is C

Answers Percent chosen by Florida’s participating students

*C 15%
A 33%
B 14%
D 21%
E 16%

Question 11, MACC.7.SP.3.5 and MACC.7.SP.3.7b

Description: Explain a probability concept
Difficulty: Easy
Complexity: Low

Solution:
Sample Correct Response:
Correct oval: Yes
Explanation:
This is true because the number of blue marbles in the bowl is equal to the number of yellow marbles.

Note(s):
• Address that the chances of picking a blue marble or picking a yellow marble are equal. It is not a
complete response to restate that there are 20 blue marbles and 20 yellow marbles; it is that
the numbers are equal.

• Correctly calculate the probability of selecting a blue or yellow marble (each is equal to or
equivalent).

Score & Description

Correct
• Fills in correct oval AND provides a complete explanation

Partial 1
• Fills in correct oval AND provides an incomplete or partially correct explanation
• Partial 2
• Fills in neither oval AND provides a complete or incomplete explanation that supports a response
of "yes"

37
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 11, continued
Partial 2
Fills in neither oval AND provides a complete or incomplete explanation that supports a response of
"yes"
Incorrect 1
Fills in correct oval WITH incorrect explanation or no explanation
Incorrect 2
Other incorrect responses

Question 12, MACC.6.SP.1.2, MACC.6.SP.2.5c, and MACC.6.SP.2.5d

Description: Explain which statistic is best in given situation
Difficulty: Hard
Complexity: Moderate

Solution:
Median. The mean is lowered by one low number, 10.
Score & Description
Correct
States median and explains that the mean is lowered by one low number

Partial
Median with incomplete, incorrect, or missing explanation
OR
Mean with median explanation

Incorrect
Incorrect response

38
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013
Question 12, continued

39
NAEP Grade 8 Mathematics Answer Key
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
June 2013