SAT Pastpaper with Solutions

If 3(x+10) = 9(x+10) + 72, what is the value of x+10?

What is the y-intercept of the graph of y = -4x² - 8x + 5 in the xy-plane?

In the given equation, d is a constant. The equation has exactly one solution. What is the value of d?
-3x² - 12x - d = 0

A factory produces a certain type of product. The function g(x) = 1200 - 3x models the total number of products remaining in the warehouse, in hundreds, after x days. Which of the following is the best interpretation of 1200 in this context?

If f(x) = x² + 5 and g(x) = 3x + 2, what is the value of 3f(2) - 2g(3)?

An employee earns $ 25 per hour for the first 35 hours worked in a week. For each hour worked over 35 hours, the employee earns $ 40 per hour. What is the least number of whole hours the employee must work in a week to earn at least $ 1,400?

A circle in the xy-plane has its center at (2, -5). Line t is tangent to this circle at the point (b, 3), where b is a constant. The slope of line t is 3/4. What is the value of b?

The graph of the function f is shown below, where y = f(x), and function g is obtained by shifting f up by 4 units. What is the value of g(0)?

A polygon has exactly 45 sides. If the measure of each of the 45 interior angles of this polygon is (360m)°, what is the value of m?

In the xy-plane, the graph of the equation is translated 3 units to the right. What is an equation of the resulting graph?

For 135 neurons, the table summarizes the distribution of classification and cell body diameter.

One of these neurons will be selected at random. What is the probability of selecting a neuron with a cell body diameter less than or equal to 30 micrometers, given that it is not classified as a motor neuron?

A model predicts that the population of a certain town was 5,000 in 2010. The model also predicts that each year for the next 4 years, the population p increases by 6% of the previous year's population. Which equation best represents this model, where x is the number of years after 2010, for ?

A movie theater rents out its conference room for private screenings. The theater earns for each screening they rent. On Saturday, the theater earned a total of in profit after paying daily expenses of . How many screenings did the theater rent on Saturday? (Profit = Total Revenue - Total Expenses.

The given equation relates the real numbers x and y, where y > 4. Which equation correctly expresses y in terms of x?

A hemisphere is half of a sphere. A hemisphere has a radius of 50 inches. Which of the following is closest to the volume, in cubic inches, of this hemisphere?

The function f is defined by ,where q is a constant. The graph of passes through the point. What is the value of  ?

The mass of object X is 320% of the mass of object Y, and the mass of object X is 1.25% of the mass of object Z. If the mass of object Z is q% of the mass of object Y, what is the value of q?

Each of the following frequency tables represents a data set. Which of these frequency tables represents the data set with the greatest standard deviation?

The volume of a spherical balloon is increasing at a rate of 150 cubic centimeters per minute. What is this rate, in cubic meters per hour?

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of these eight angles is (5x- 150)°. The sum of the measures of four of the eight angles is k°. Which of the following could NOT be equivalent to k, for all values of x?

A right square pyramid has a total surface area of 38,400 square centimeters, and the combined surface area of the four lateral faces of this pyramid is 24,000 square centimeters. What is the height, in centimeters, of this pyramid?