SAT Pastpaper with Solutions

The scatterplot shows 5 measurements of the body length, in centimeters (cm), of a New Zealand fur seal from an age of 1 year to 6 years old. A line of best fit is also shown. For a New Zealand fur seal at an age of 3 years old, what is the body length predicted by the line of best fit, to the nearest 10 cm?

For a certain classification, the positive mass m , in grams, of an object must be less than 510 grams. Which inequality represents this situation?

The perimeter of an obtuse triangle is 27 meters. The lengths of two sides of this triangle are 5 meters and 9 meters. What is the length, in meters, of the third side of this triangle?

The table shows the amount of time it took a participant in a study to complete each of 5 tasks. What was the mean time, in minutes, for this participant to complete a task?

A group of 40 employees selected at random from all the employees at a company were surveyed about the number of books they read last year. From the data collected, it was estimated that the mean number of books employees at the company read last year is 6.8, with an associated margin of error of 1.1. Which of the following is the most appropriate conclusion?

Which expression is equivalent to?

The scatterplot shows the relationship between two variables, x and y.

Which of the following graphs shows a line of best fit that is most
appropriate for the data shown in the scatterplot?

The function gives the sum of the interior angles, in degrees, for a polygon with x sides. What is the sum of the interior angles, in degrees, for a polygon with 35 sides?

For the function h, the table gives three values of x and their corresponding values of h(x). Which equation could define h?

If the given function f is graphed in the xy-plane, where , what is the x-coordinate of an x-intercept of the graph?
f(x) = 3( x - 1 )( x - 8 )( x - 11 )

The solution to the given system of equations is (x,y). What is the value of 3x+5y?
x + 4y = 19
2x + y = 4

In triangle DEF, the measure of angle D is  and the measure of angle E is . In triangle RST, the measure of angle R is and the measure of angle S is . Which of the following additional pieces of information is needed to determine whether triangle DEF is similar to triangle RST?

The solutions to the given system of equations are of the form (x,y). What is a possible value of x?
x² + y = 21
-x + y = 1

In the xy-plane, the graph of function f, where y = f(x), has exactly 8 x-intercepts. One of these x-intercepts is (17,0). The rational function g is defined by . In the xy-plane, how many x-intercepts does the graph of y = g(x) have?

In the xy-plane, line s passes through the point and is parallel to the line represented by the equation y = 42x + 6. If line s also passes through the point (4,d), what is the value of d?

A circle has center O, and points A and B lie on the circle. The measure of arc AB is , and the length of this arc is 4 inches. What is the circumference, in inches, of the circle?

While the mass of an object is the same everywhere, the weight of an object is not the same on different planets. An object has a weight of 170 pounds on Earth and a weight of 186.32 pounds on Neptune. The object's weight on Jupiter is of its weight on Earth. If the object's weight on Neptune is of its weight on Jupiter, which of the following is closest to the value of x?

In the given system of equations, w is a constant. In the xy-plane, the graphs of these equations intersect at the point (q,17), where q is a constant. What is the value of w?
-x - wy = -357
2x - wy = 51

In the right triangle shown, what is the value of ?