Question ID 80f346ea
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Medium
ID: 80f346ea
A line passes through the points
and
in the xy-plane. What is the slope of the line?
Question ID 38f53fa4
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Medium
ID: 38f53fa4
Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of
figure B is
inches. The equation
represents this situation, where is the number of sides
of figure A and is the number of sides of figure B. Which statement is the best interpretation of in this
context?
A. Each side of figure B has a length of
inches.
B. The number of sides of figure B is .
C. Each side of figure A has a length of
D. The number of sides of figure A is .
inches.
Question ID 43e69f94
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear functions
Hard
ID: 43e69f94
The cost of renting a backhoe for up to
days is
for the first day and
for each additional day.
Which of the following equations gives the cost , in dollars, of renting the backhoe for days, where is a
positive integer and
?
A.
B.
C.
D.
Question ID d609d1ce
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Medium
ID: d609d1ce
Line
?
is defined by
. Line is perpendicular to line
in the xy-plane. What is the slope of line
Question ID 57e4b0b9
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear inequalities
in one or two
variables
Medium
ID: 57e4b0b9
A model estimates that whales from the genus Eschrichtius travel
to
miles in the ocean each day
during their migration. Based on this model, which inequality represents the estimated total number of miles,
, a whale from the genus Eschrichtius could travel in
A.
B.
C.
D.
days of its migration?
Question ID a23c1142
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
one variable
Easy
ID: a23c1142
What value of
A.
B.
C.
D.
is the solution to the given equation?
Question ID a39e1c3b
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Medium
ID: a39e1c3b
What is the slope of the graph of
in the xy-plane?
Question ID e914e737
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Easy
ID: e914e737
Which table gives three values of
A.
B.
C.
D.
and their corresponding values of
for the given equation?
Question ID df8ae774
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
one variable
Hard
ID: df8ae774
In the given equation,
is a constant. The equation has no solution. What is the value of ?
Question ID 8c6982c3
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear functions
Medium
ID: 8c6982c3
If
A.
B.
C.
D.
and
, what is the value of
?
Question ID 652119ce
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear functions
Hard
ID: 652119ce
The functions
and
are defined as
and
. If the function is defined as
, what is the x-coordinate of the x-intercept of the graph of
in the xy-plane?
Question ID 977935fa
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Easy
ID: 977935fa
The y-intercept of the graph of
in the xy-plane is
. What is the value of ?
Question ID e96acc98
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
one variable
Hard
ID: e96acc98
What value of is the solution to the given equation?
Question ID ea278c09
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Systems of two
linear equations in
two variables
Easy
ID: ea278c09
The graph of a system of linear equations is shown. What is the solution
A.
B.
C.
D.
to the system?
Question ID 74510a38
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
two variables
Easy
ID: 74510a38
A total of
paper straws of equal length were used to construct two types of polygons: triangles and
rectangles. The triangles and rectangles were constructed so that no two polygons had a common side. The
equation
represents this situation, where is the number of triangles constructed and is
the number of rectangles constructed. What is the best interpretation of
in this context?
A. If
triangles were constructed, then
rectangles were constructed.
B. If
triangles were constructed, then
paper straws were used.
C. If
triangles were constructed, then
rectangles were constructed.
D. If
triangles were constructed, then
paper straws were used.
Question ID 3eb27778
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Systems of two
linear equations in
two variables
Hard
ID: 3eb27778
Store A sells raspberries for
per pint and blackberries for
per pint. Store B sells raspberries for
per pint and blackberries for
per pint. A certain purchase of raspberries and blackberries would
cost
at Store A or
at Store B. How many pints of blackberries are in this purchase?
A.
B.
C.
D.
Question ID 11f714b1
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Systems of two
linear equations in
two variables
Hard
ID: 11f714b1
The solution to the given system of equations is
. What is the value of
?
Question ID b7305783
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
one variable
Hard
ID: b7305783
If
, the value of
A.
and
B.
and
C.
and
D.
and
is between which of the following pairs of values?
Question ID c38b4d1e
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear inequalities
in one or two
variables
Medium
ID: c38b4d1e
Which point ( , ) is a solution to the given inequality in the
A. (
, )
B. ( , )
C. ( , )
D. ( ,
)
-plane?
Question ID ce6f6062
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
one variable
Medium
ID: ce6f6062
In the given equation,
is a constant. If the equation has infinitely many solutions, what is the value of ?
Question ID c05a6f72
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear functions
Medium
ID: c05a6f72
The graph of the function , where
system and
, gives the total cost , in dollars, for a certain video game
games. What is the best interpretation of the slope of the graph in this context?
A. Each game costs
.
B. The video game system costs
C. The video game system costs
D. Each game costs
.
.
.
Question ID c066203a
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear equations in
one variable
Easy
ID: c066203a
A principal used a total of
flags that were either blue or yellow for field day. The principal used
flags. How many yellow flags were used?
A.
B.
C.
D.
blue
Question ID 86793098
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear functions
Easy
ID: 86793098
Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature , in
kelvins, of the oxygen gas when its pressure is
atmospheres.
What is the estimated temperature, in kelvins, of the oxygen gas when its pressure is
A.
B.
C.
D.
atmospheres?
Question ID c729c1d7
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Algebra
Linear inequalities
in one or two
variables
Hard
ID: c729c1d7
A number
value of ?
is at most
less than
times the value of . If the value of
is
, what is the greatest possible
Question ID bbfa4707
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Ratios, rates,
proportional
relationships, and
units
Easy
ID: bbfa4707
A wind turbine completes
this turbine complete?
A.
B.
C.
D.
revolutions in
minutes. At this rate, how many revolutions per minute does
Question ID 0f1d42fd
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Ratios, rates,
proportional
relationships, and
units
Hard
ID: 0f1d42fd
The density of a certain type of wood is
the shape of a cube and has a mass of
length of one edge of this sample?
A.
B.
C.
D.
kilograms per cubic meter. A sample of this type of wood is in
kilograms. To the nearest hundredth of a meter, what is the
Question ID 309344bd
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Percentages
Easy
ID: 309344bd
Last year,
students enrolled in an interior design program. This year, the number of students enrolled is
of last year’s number. How many students are enrolled in the interior design program this year?
A.
B.
C.
D.
Question ID 6baeb1d2
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Percentages
Hard
ID: 6baeb1d2
of the items in a box are green. Of those,
are also rectangular. Of the green rectangular items,
are also metal. Which of the following is closest to the percentage of the items in the box that are not
rectangular green metal items?
A.
B.
C.
D.
Question ID 25f9c72c
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Ratios, rates,
proportional
relationships, and
units
Easy
ID: 25f9c72c
A kangaroo has a mass of
A.
B.
C.
D.
kilograms. What is the kangaroo's mass, in grams?
Question ID 91ac409a
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Probability and
conditional
probability
Hard
ID: 91ac409a
The table summarizes the distribution of age and assigned group for
– years
–
years
years
participants in a study.
Total
Group A
Group B
Group C
Total
One of these participants will be selected at random. What is the probability of selecting a participant from
group A, given that the participant is at least
years of age? (Express your answer as a decimal or fraction,
not as a percent.)
Question ID 5c216e8e
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
One-variable data:
Distributions and
measures of center
and spread
Easy
books collected by
different groups for a book drive. How
ID: 5c216e8e
The bar graph shows the distribution of
many books were collected by group ?
Question ID 22efbe91
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Percentages
Medium
ID: 22efbe91
In a group,
% of the items are red. Of all the red items in the group,
percentage of the items in the group are red with stripes?
A.
%
B.
%
C.
%
D.
%
% also have stripes. What
Question ID 40c8528e
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Probability and
conditional
probability
Medium
ID: 40c8528e
At a conference, there are a total of
attendees. Each attendee is assigned to either group A, group B, or
group C. If one of these attendees is selected at random, the probability of selecting an attendee who is
assigned to group A is
and the probability of selecting an attendee who is assigned to group B is
How many attendees are assigned to group C?
.
Question ID 00048e15
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Ratios, rates,
proportional
relationships, and
units
Hard
ID: 00048e15
If
and
, what is the value of ?
Question ID 1e7832f1
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Inference from
sample statistics
and margin of error
Medium
ID: 1e7832f1
A sample consisting of
adults who own televisions was selected at random for a study. Based on the
sample, it is estimated that
of all adults who own televisions use their televisions to watch nature
shows, with an associated margin of error of
. Which of the following is the most plausible conclusion
about all adults who own televisions?
A. More than
B. Between
of all adults who own televisions use their televisions to watch nature shows.
and
of all adults who own televisions use their televisions to watch nature
shows.
C. Since the sample included adults who own televisions and not just those who use their televisions to
watch nature shows, no conclusion can be made.
D. Since the sample did not include all the people who watch nature shows, no conclusion can be made.
Question ID e9fe7acd
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Ratios, rates,
proportional
relationships, and
units
Medium
ID: e9fe7acd
A competition consisted of four different events. One participant completed the first event with an average
speed of
miles per hour. What was this average speed, in yards per hour?
Question ID 4f608143
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Probability and
conditional
probability
Medium
ID: 4f608143
A box contains
red pens and
blue pens. If one of these pens is selected at random, what is the
probability of selecting a red pen? (Express your answer as a decimal or fraction, not as a percent.)
Question ID e03f95ad
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
One-variable data:
Distributions and
measures of center
and spread
Hard
ID: e03f95ad
Data set A consists of the heights of
objects and has a mean of
meters. Data set B consists of the
heights of
objects and has a mean of
meters. Data set C consists of the heights of the
from data sets A and B. What is the mean, in meters, of data set C?
objects
Question ID c50fc439
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Evaluating
statistical claims:
Observational
studies and
experiments
Hard
ID: c50fc439
A trivia tournament organizer wanted to study the relationship between the number of points a team scores
in a trivia round and the number of hours that a team practices each week. For the study, the organizer
selected
teams at random from all trivia teams in a certain tournament. The table displays the
information for the
teams in the sample that practiced for at least hours per week.
Number of points per round
Hours practiced
6 to 13 points
14 or more points
Total
3 to 5 hours
More than 5 hours
Total
Which of the following is the largest population to which the results of the study can be generalized?
A. All trivia teams in the tournament that scored
or more points in the round
B. The
trivia teams in the sample
C. The
trivia teams in the sample that practiced for at least
D. All trivia teams in the tournament
hours per week
Question ID 85e8cb3f
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Probability and
conditional
probability
Easy
ID: 85e8cb3f
Each rock in a collection of
rocks was classified as either igneous, metamorphic, or sedimentary, as
shown in the frequency table.
Classification
Frequency
igneous
metamorphic
sedimentary
If one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?
A.
B.
C.
D.
Question ID 845c6478
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Two-variable data:
Models and
scatterplots
Medium
ID: 845c6478
The scatterplot shows the relationship between two variables,
and . A line of best fit is also shown.
Which of the following is closest to the slope of the line of best fit shown?
A.
B.
C.
D.
Question ID d683c482
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Percentages
Hard
ID: d683c482
The number
?
is
greater than the number . The number
is
less than
. What is the value of
Question ID 128d0947
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Ratios, rates,
proportional
relationships, and
units
Medium
ID: 128d0947
How many tablespoons are equivalent to
teaspoons?
Question ID 79c54a4d
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Probability and
conditional
probability
Medium
ID: 79c54a4d
Each vertex of a
-sided polygon is labeled with one of the
letters
through
, with a different letter at
each vertex. If one vertex is selected at random, what is the probability that the letter
selected vertex? (Express your answer as a decimal or fraction, not as a percent.)
will be at the
Question ID 7dfb73de
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Percentages
Hard
ID: 7dfb73de
According to a set of standards, a certain type of substance can contain a maximum of
by mass. If a sample of this substance has a mass of
phosphorus
grams, what is the maximum mass, in grams, of
phosphorus the sample can contain to meet these standards?
Question ID 6a61db85
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Problem-Solving
and Data Analysis
Two-variable data:
Models and
scatterplots
Hard
ID: 6a61db85
The scatterplot shows the relationship between the length of time , in hours, a certain bird spent in flight
and the number of days after January
, .
What is the average rate of change, in hours per day, of the length of time the bird spent in flight on January
to the length of time the bird spent in flight on January
?
Question ID de6d51e1
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Medium
ID: de6d51e1
For the triangle shown, which expression represents the value of ?
A.
B.
C.
D.
Question ID c10968c1
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Hard
ID: c10968c1
Triangle
is similar to triangle
right angles. The length of
is
, where angle
times the length of
corresponds to angle
. If
and angles
and
, what is the value of
are
?
Question ID d32d4957
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Hard
ID: d32d4957
Triangle
and
A.
B.
C.
D.
is similar to triangle
are right angles. If
, where
and
corresponds to
and
corresponds to
, what is the length of
?
. Angles
Question ID 2ab5f0fd
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Hard
ID: 2ab5f0fd
The length of a rectangle’s diagonal is
length of the rectangle’s longer side?
, and the length of the rectangle’s shorter side is . What is the
Question ID 06e0b4a8
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Medium
ID: 06e0b4a8
The length of a rectangle’s diagonal is
length of the rectangle’s longer side?
A.
B.
C.
D.
, and the length of the rectangle’s shorter side is . What is the
Question ID 559068d5
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Area and volume
Hard
ID: 559068d5
A rectangular poster has an area of
square inches. A copy of the poster is made in which the length and
width of the original poster are each increased by
. What is the area of the copy, in square inches?
Question ID c3f47bd8
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Lines, angles, and
triangles
Hard
ID: c3f47bd8
In triangle
If the length of
, angle
is
is a right angle, point
lies on
units, the length of
is
units, what is the length of
, in units?
, point
lies on
, and
units, and the area of triangle
is parallel to
is
square
.
Question ID a1060875
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Area and volume
Easy
ID: a1060875
A rectangle has a length of
A.
B.
C.
D.
and a width of . What is the perimeter of the rectangle?
Question ID 8e79ef1c
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Circles
Medium
ID: 8e79ef1c
An angle has a measure of
radians. What is the measure of the angle in degrees?
Question ID 489aba1c
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Area and volume
Medium
ID: 489aba1c
A circle has a circumference of
centimeters. What is the diameter, in centimeters, of the circle?
Question ID 1dbbea6b
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Hard
ID: 1dbbea6b
In the triangle shown, what is the value of
?
Question ID 9a3b790e
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Lines, angles, and
triangles
Hard
ID: 9a3b790e
In the figure, parallel lines
of
?
and are intersected by lines
and . If
and
, what is the value
Question ID 88041348
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Circles
Medium
ID: 88041348
A circle in the xy-plane has its center at
represents this circle?
A. msup
B. msup
C. msup
D. msup
and the point
lies on the circle. Which equation
Question ID ba00aba9
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Lines, angles, and
triangles
Medium
ID: ba00aba9
Two nearby trees are perpendicular to the ground, which is flat. One of these trees is
shadow that is
the other tree?
A.
B.
C.
D.
feet long. At the same time, the shadow of the other tree is
feet tall and has a
feet long. How tall, in feet, is
Question ID e5ede4b8
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Area and volume
Easy
ID: e5ede4b8
The area of a rectangle is
inches, of this rectangle?
A.
B.
C.
D.
square inches. The length of the rectangle is
inches. What is the width, in
Question ID 530b2e84
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Area and volume
Hard
ID: 530b2e84
What is the area, in square units, of the triangle formed by connecting the three points shown?
Question ID b2aa5d73
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Circles
Hard
ID: b2aa5d73
A circle in the xy-plane has its center at
, where , , and
and has a radius of . An equation of this circle is
are constants. What is the value of ?
Question ID 307d7ae0
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Right triangles and
trigonometry
Hard
ID: 307d7ae0
Triangle
to angle
is similar to triangle
. Angles
and
, where angle
are right angles. If
corresponds to angle
and angle
, what is the value of
?
corresponds
Question ID 55b41004
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Circles
Hard
ID: 55b41004
A circle in the xy-plane has its center at
What is the slope of line ?
A.
B.
C.
D.
. Line
is tangent to this circle at the point
.
Question ID 35d7123b
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Lines, angles, and
triangles
Medium
ID: 35d7123b
Triangle
is similar to triangle
, such that
,
, and
correspond to
,
, and
respectively.
The length of each side of triangle
is times the length of its corresponding side in triangle
The measure of side
is . What is the measure of side
?
A.
B.
C.
D.
.
Question ID 8235af09
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Area and volume
Hard
ID: 8235af09
Triangles
and
length of triangle
of triangle
?
are similar. Each side length of triangle
. The area of triangle
is
is
times the corresponding side
square inches. What is the area, in square inches,
Question ID 034aa7ae
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Lines, angles, and
triangles
Hard
ID: 034aa7ae
In the figure shown, points
segment
at point
is
,
,
, and
lie on line segment
. The measure of
, and the measure of
is
is
, and line segment
, the measure of
is
. What is the measure, in degrees, of
intersects line
, the measure of
?
Question ID 9ca6e7b4
Assessment
Test
Domain
Skill
Difficulty
SAT
Math
Geometry and
Trigonometry
Circles
Hard
ID: 9ca6e7b4
A circle has center , and points and lie on the circle. The measure of arc
arc
is inches. What is the circumference, in inches, of the circle?
A.
B.
C.
D.
is
and the length of