SAT Pastpaper with Solutions

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 62°. What is the measure of angle F?

A swimming pool, which measures 35 meters in width, is divided into m lanes. Each lane must be at least 2.5 meters wide and at most 3.5 meters wide. What is the largest possible value of m?

In the given equation, which of the following is a possible value of x+1?

The point is a solution to which of the following inequalities?

What is the y-coordinate of the y-intercept of the graph of y = g(x) - 3 in the xy-plane?
g(x) = 2(6x - 7)

For the linear function f,  . In the xy-plane, the graph of the linear function g is the graph of y = f(x) shifted 3 units to the left. What is the y-intercept of the graph of g?

The function f is defined by the given equation.For which of the following values of k does f(k) = 3k?

For all the buildings built by a particular construction company, the table shows the linear relationship between f, the number of floors in one of the company's buildings, and s, the number of stairs in the same building. Which equation represents the relationship between f and s?

Which of the following graphs in the xy-plane could be used to solve the given system of equations?
3x - y = 9
x + 4y = 16

Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

When is graphed in the xy-plane, it has two x-intercepts, one at and one at . What is the value of ?

The table summarizes the distribution of age and assigned group for 145 participants in a study.

One of these participants will be selected at random. What is the probability of selecting a participant from group B, given that the participant is at least 10 years of age?

The function f is defined as . If, what is the value of  ?

In the figure, lines f and m are parallel, y= 20, and z = 60. What is the value of x?

A glass sculpture consists of a sphere with a smaller sphere removed from the center. The volume of glass used in making the sculpture is  cubic centimeters. If the radius of the larger sphere is 6 centimeters larger than the radius of the smaller sphere, what is the radius of the smaller sphere?

The value of an autographed baseball increased by from the end of 1992 to the end of 1993 and then decreased by from the end of 1993 to the end of 1994. What was the net percentage increase in the value of the autographed baseball from the end of 1992 to the end of 1994?

If , and , what is the value of ?

If p and q are numbers greater than 1 and is equivalent to , for what value of m is equal to q?

The area of a rectangular region is increasing at a rate of 35000 square feet per hour. Which of the following is closest to this rate in square meters per second? (Use 1 meter = 3.28 feet.)

In the given equation, p is a positive constant. The product of solutions to the equation is -10. What is the value of p?