SAT Pastpaper with Solutions

In the figures line is parallel to line , and line intersects both lines. What is the value of

The -intercept of the graph of in the -plane is . What is the value of ?

A large square has an area of 1,296 square centimeters . Small squares of area 36cm² are cut out of the large square one by one. Which function gives the area of the resulting figure, in cm² , after small squares are cut out?

The shaded region shown in the graph represents all the solutions to which inequality?

For the linear function is a constant and . What is the value of ?

The function is defined by . For what value of does ?

The Mars Perseverance rover is a robot designed to collect samples of rock and soil. During an experiment, the rover moves at a constant speed on a straight path toward a designated target. The equation gives the rover's remaining distance from its target , in meters, hours after the start of the experiment.
What is the best interpretation of 500 in this context?

A biologist is designing a study to observe the behavior of male and female amethyst-throated hummingbirds. According to the study's design, at least 91 hummingbirds will be observed, and the positive difference between the number of males, , and the number females, , will not exceed 8.

Which of the following systems of inequalities represents this situation?

The graph of a polynomial function in the -plane passes through the point . What is the value of ?

A district school board in a certain state is proposing a change to the length of lunch periods for all high schools in the district. A sample of 365 high school students was selected at random from all high school students in the district. The selected students were asked whether they approved of the proposed change, and 213 students responded that they did not approve. Which of the following is the largest population to which the results of the survey can be generalized?

A company that produces only one type of item wants to estimate the percent of the items produced in a typical week that are defective. A random sample of 540 of the items produced in a certain week were tested. Based on the sample, it is estimated that of all items produced by the company in this week are defective, with an associated margin of error of . Based on the estimate and associated margin of error, which of the following is the most appropriate conclusion about all items produced by the company during this week?

The graph of the linear equation is shown, where is a constant. What is the value of ?

The solution to the given system of equations is . What is the value of ?

The equation gives the estimated height above ground, , in meters, of a plane, where is the number of seconds since it started a parabolic maneuver. If this equation is graphed in the -plane, which of the following is the best interpretation of the vertex of the graph?

In the triangle shown, . What is the value of ?

The figure shown is a right circular cylinder with a radius of and height of . A second right circular cylinder (not shown) has a volume that is 576 times as large as the volume of the cylinder shown.

Which of the following could represent the radius , in terms of , and the height , in terms of , of the second cylinder?

The given equation represents circle in the -plane. Circle has a center that is 3 units to the right of and 2 units below the center of circle . Circle has a diameter that is double the diameter of circle . Which equation represents circle ?

The solution to the given system of equations is . What is the value of ?

On average, a certain tree grows 39 centimeters every months. At this rate, which expression represents the number of centimeters, on average, the tree grows every years?