SAT Pastpaper with Solutions

A number is at least twice the value of a number . If the value of is 66 , which inequality represents the possible values of ?

The given equation relates the positive numbers m, n and p. Which equation correctly gives m in terms of n  and p?

 9m = 8(n + p)

If 4x-28=-12, what is the value of x-7?

In the triangle shown, what is the value of sin y?

A bank account was opened with an initial deposit, Over the next several months, regular deposits were made into this account, and there were no withdrawals made during this time, The graph of the function f shown, where y= f(x), estimates the account balance, in dollars, in this bank account x months since the initial deposit. To the nearest whole dollar, what is the amount of the initial deposit estimated by the graph?

A line segment that has a length of 118 centimeters (cm) is divided into three parts. One part is 48 cm long. The other two parts have lengths that are equal to each other. What is the length, in cm, of one of the other two parts of equal length?

Data sets and are summarized in the tables shown, where , and are positive, consecutive integers and . Which statement comparing the means of the data sets is true?(The options for this question seem to have some issues, but this is an actual question from the SAT digital exam. In such cases, we should consider that the SAT question writers might not have been careful.)

If the solution to the given system of equations is (x, y), which of the following equations is true?
5x + 5y= 150
x+y=2x

If the given function f is graphed in the xy-plane, where , what is the x-coordinate of an x-intercept of the graph?

Scientists collected fallen acorns that each housed a colony of the ant species P, ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has X worker ants, the equation y= 0.67X +6, where 20 < X< 110, gives the predicted number of larvae,y, in the colony. If one of these colonies has 57 worker ants, which of the following is closest to the predicted number of larvae in the colony?

The graphs of the equations in the given system intersect at the point in the -plane. What is a possible value of ?

A circle in the -plane has its center at and the point lies on the circle. Which equation represents this circle?

The graph models the number of online newsletter subscribers at the end of every six-month period, where is the number of six-month periods since the end of January 1993 and ; Which statement is the best interpretation of the point in this context?

The right square pyramid shown has a height of 9 centimeters . The length, in , of one edge of the pyramid's base is times the height of the pyramid. What is the volume, in , of the pyramid?

In the -plane, line has a slope of and an -intercept of . What is the -coordinate of the -intercept of line ?

In 2018, approximately 40,000 kilowatts of solar power capacity was newly installed in a certain area in the United States. In 2019, the amount of newly installed solar power capacity in this area increased by from the amount of newly installed solar power capacity in 2018. If the amount of newly installed solar power capacity continues to increase each year by of the previous year's newly installed solar power capacity, which of the following types of functions best describes how the amount of newly installed solar power capacity changes over time?

An object is launched into the air from ground level. According to a quadratic model, 3.8 seconds after the object is launched, it reaches its maximum height of 231.04 feet above ground level. Which equation represents this model, where is the object's height, in feet, above ground level seconds after it was launched?

One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?

The given function f models the balance of a bank account, in dollars, x years after it is opened. Which statement is the best interpretation of (1.003)^2x ?