Grade 12 Mathematics
Sample Questions
This booklet contains sample Grade 12 Mathematics items from the National Assessment of Educational Progress
(NAEP). Additional 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 Grade 12 Mathematics Sample Questions Booklet and the corresponding answer booklet are posted at
http://www.fldoe.org/asp/naep/naep-pt.asp.
, NAEP GRADE 12 MATHEMATICS
CONTENTS
Introduction .......................................................................................................................................................... 4
NAEP GRADE 12 NUMBER PROPERTIES AND OPERATIONS.............................................................................. 5
Question 1 - Multiply a 3-digit number by a decimal number ............................................................................. 5
Question 2 - Estimate amount of time for problem in context ............................................................................ 5
Question 3 - Find the cost of mailing a letter, based on its weight ...................................................................... 5
Question 4 - Calculate an expected value, given a percentage ............................................................................ 6
Question 5 - Given the scale, determine the length of a side .............................................................................. 6
Question 6 - Identify effect of changing certain digits on a number’s value........................................................ 7
Question 7 - Estimate property value, given tax rate and amount ...................................................................... 7
Question 8 - Determine the remainder in an algebraic setting ............................................................................ 7
Question 9 - Determine a weight of a letter given mailing cost ........................................................................... 8
Question 10 - Solve a problem involving fractions ............................................................................................... 8
Question 11 - Determine proportional enlargement of photograph ................................................................... 8
NAEP GRADE 12 ALGEBRA ............................................................................................................................. 9
Question 1 - Determine a nonequivalent expression ........................................................................................... 9
Question 2 - Solve problem involving numerical sequence ................................................................................. 9
Question 3 - Subtract rational expressions........................................................................................................... 9
Question 4 - Solve a system of linear equations................................................................................................. 10
Question 5 - Find annual rate of population growth .......................................................................................... 10
Question 6 - Interpret characteristics of graph in a context .............................................................................. 10
NAEP GRADE 12 MEASUREMENT ................................................................................................................. 12
Question 1 - Compare units of volume ............................................................................................................... 12
Question 2 - Solve problem involving area in context ........................................................................................ 12
Question 3 - Calculate the measure of an angle in a triangle............................................................................. 12
Question 4 - Find actual dimensions of room drawn to scale ............................................................................ 13
Question 5 - Identify a 90-degree angle in a figure ............................................................................................ 13
Question 6 - Find the length of the sides of a square ......................................................................................... 14
Question 7 - Solve a problem using trigonometry .............................................................................................. 14
Question 8 - Find range for area given precision of linear measurements ........................................................ 14
Question 9 - Use trigonometry to find height of object ..................................................................................... 15
2
NAEP Grade 12 Mathematics Sample Questions
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
July 2013
, NAEP GRADE 12 MATHEMATICS CONTENTS, continued
Question 10 - Solve a multi-step problem with a rectangle and sphere ............................................................ 16
NAEP GRADE 12 GEOMETRY ........................................................................................................................ 17
Question 1 - Find the missing dimension of a room ........................................................................................... 17
Question 2 - Find the measure of angle between streets .................................................................................. 17
Question 3 - Find length of side in a 30-60-90 triangle ...................................................................................... 18
Question 4 - Analyze properties of quadrilateral inscribed in circle .................................................................. 18
Question 5 - Determine which triangle is not a 30-60-90 right traingle............................................................. 19
Question 6 - Identify the 3-D figure resulting from folding paper...................................................................... 20
Question 7 - Prove that given figure is a parallelogram ..................................................................................... 20
Question 8 - Perform multiple transformations of segment in xy-plane ........................................................... 21
NAEP GRADE 12 DATA ANALYSIS AND PROBABILITY..................................................................................... 22
Question 1 - Solve problem using data in a table ............................................................................................... 22
Question 2 - Analyze correlations of two data sets in a scatterplot................................................................... 23
Question 3 - Identify linear equation that best fits data in a scatterplot ........................................................... 24
Question 4 - Identify appropriate method for selecting random sample .......................................................... 25
Question 5 - Make a prediction based on data in scatterplot ............................................................................ 25
Question 6 - Calculate probability of indepenent events ................................................................................... 26
Question 7 - Determine the type of graph to best represent a situation........................................................... 26
Question 8 - Determine conditional probablity from two-way table ................................................................. 27
Question 9 - Solve a data-related problem and justify the answer .................................................................... 27
Question 10 - Use survey results to make an inference ..................................................................................... 28
Question 11 - Solve a problem involving color patterns .................................................................................... 28
3
NAEP Grade 12 Mathematics Sample Questions
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
July 2013
Sample Questions
This booklet contains sample Grade 12 Mathematics items from the National Assessment of Educational Progress
(NAEP). Additional 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 Grade 12 Mathematics Sample Questions Booklet and the corresponding answer booklet are posted at
http://www.fldoe.org/asp/naep/naep-pt.asp.
, NAEP GRADE 12 MATHEMATICS
CONTENTS
Introduction .......................................................................................................................................................... 4
NAEP GRADE 12 NUMBER PROPERTIES AND OPERATIONS.............................................................................. 5
Question 1 - Multiply a 3-digit number by a decimal number ............................................................................. 5
Question 2 - Estimate amount of time for problem in context ............................................................................ 5
Question 3 - Find the cost of mailing a letter, based on its weight ...................................................................... 5
Question 4 - Calculate an expected value, given a percentage ............................................................................ 6
Question 5 - Given the scale, determine the length of a side .............................................................................. 6
Question 6 - Identify effect of changing certain digits on a number’s value........................................................ 7
Question 7 - Estimate property value, given tax rate and amount ...................................................................... 7
Question 8 - Determine the remainder in an algebraic setting ............................................................................ 7
Question 9 - Determine a weight of a letter given mailing cost ........................................................................... 8
Question 10 - Solve a problem involving fractions ............................................................................................... 8
Question 11 - Determine proportional enlargement of photograph ................................................................... 8
NAEP GRADE 12 ALGEBRA ............................................................................................................................. 9
Question 1 - Determine a nonequivalent expression ........................................................................................... 9
Question 2 - Solve problem involving numerical sequence ................................................................................. 9
Question 3 - Subtract rational expressions........................................................................................................... 9
Question 4 - Solve a system of linear equations................................................................................................. 10
Question 5 - Find annual rate of population growth .......................................................................................... 10
Question 6 - Interpret characteristics of graph in a context .............................................................................. 10
NAEP GRADE 12 MEASUREMENT ................................................................................................................. 12
Question 1 - Compare units of volume ............................................................................................................... 12
Question 2 - Solve problem involving area in context ........................................................................................ 12
Question 3 - Calculate the measure of an angle in a triangle............................................................................. 12
Question 4 - Find actual dimensions of room drawn to scale ............................................................................ 13
Question 5 - Identify a 90-degree angle in a figure ............................................................................................ 13
Question 6 - Find the length of the sides of a square ......................................................................................... 14
Question 7 - Solve a problem using trigonometry .............................................................................................. 14
Question 8 - Find range for area given precision of linear measurements ........................................................ 14
Question 9 - Use trigonometry to find height of object ..................................................................................... 15
2
NAEP Grade 12 Mathematics Sample Questions
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
July 2013
, NAEP GRADE 12 MATHEMATICS CONTENTS, continued
Question 10 - Solve a multi-step problem with a rectangle and sphere ............................................................ 16
NAEP GRADE 12 GEOMETRY ........................................................................................................................ 17
Question 1 - Find the missing dimension of a room ........................................................................................... 17
Question 2 - Find the measure of angle between streets .................................................................................. 17
Question 3 - Find length of side in a 30-60-90 triangle ...................................................................................... 18
Question 4 - Analyze properties of quadrilateral inscribed in circle .................................................................. 18
Question 5 - Determine which triangle is not a 30-60-90 right traingle............................................................. 19
Question 6 - Identify the 3-D figure resulting from folding paper...................................................................... 20
Question 7 - Prove that given figure is a parallelogram ..................................................................................... 20
Question 8 - Perform multiple transformations of segment in xy-plane ........................................................... 21
NAEP GRADE 12 DATA ANALYSIS AND PROBABILITY..................................................................................... 22
Question 1 - Solve problem using data in a table ............................................................................................... 22
Question 2 - Analyze correlations of two data sets in a scatterplot................................................................... 23
Question 3 - Identify linear equation that best fits data in a scatterplot ........................................................... 24
Question 4 - Identify appropriate method for selecting random sample .......................................................... 25
Question 5 - Make a prediction based on data in scatterplot ............................................................................ 25
Question 6 - Calculate probability of indepenent events ................................................................................... 26
Question 7 - Determine the type of graph to best represent a situation........................................................... 26
Question 8 - Determine conditional probablity from two-way table ................................................................. 27
Question 9 - Solve a data-related problem and justify the answer .................................................................... 27
Question 10 - Use survey results to make an inference ..................................................................................... 28
Question 11 - Solve a problem involving color patterns .................................................................................... 28
3
NAEP Grade 12 Mathematics Sample Questions
Florida Department of Education
Division of Accountability, Research, and Measurement; Office of Assessment
July 2013
