SAT Practice Questions

Browse free SAT practice questions across Reading, Writing, and Math. Each one opens a study page with the full prompt and worked solution.

2025 December INT - D

Math•Q20
The functions \(f\) and \(g\) are given. In function \(g\), \(r\) is a constant. If \(f(x) \cdot g(x) = 7x^3 + 189\), what is the value of …
Math•Q21
A conservation specialist hung artificial nesting structures each in the shape of a right rectangular prism for a species of native duck. E…
Math•Q22
Which system of linear equations has no solution?
Math•Q1
A total of 215 toothpicks of equal length were used to construct two types of figures: triangles and squares. The triangles and squares wer…
Math•Q2
The function \(f\) is defined by \(f(x) = 2x + b\), where \(b\) is a constant and \(f(4) = 1\). What is the value of \(b\)?
Math•Q3
The graph of \(y = f(x)\) is shown, where the function \(f\) is defined by \(f(x) = ax^3 + bx^2 + cx + d\) and \(a\), \(b\), \(c\), and \(d…
Math•Q4
If \(3(x - 4)^2 = 243\), what is the value of \(x^2 - 8x\)?
Math•Q5
Which of the following equations is the most appropriate quadratic model for the data shown?
Math•Q6
A right circular cylinder has a volume of \(36,501\pi\) cubic inches. The height of the cylinder is \(3\) times its radius. What is the rad…
Math•Q7
The function \(g\) is defined by \(g(x) = 16x + 39\). For what value of \(x\) does \(g(x) = 43\)?
Math•Q8
In the \(xy\)-plane, an equation of circle R is \((x + 7)^2 + (y + 19)^2 = 100\). Circle S is obtained by shifting circle R to the right \(…
Math•Q9
For a linear relationship between \(x\) and \(y\), the table gives three values of \(x\) and their corresponding values of \(y\), where \(t…
Math•Q10
The solution to the given system of equations is \((x, y)\). What is the value of \(7x + 6y\)? \(5(7x) + 8(6y) = 266\) \(5(7x) - 8(6y) = -4…
Math•Q11
For which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the given inequality? \(…
Math•Q12
The function \(f\) is defined by the equation \(f(x) = 9^x + b\), where \(b\) is a constant. In the \(xy\)-plane, the graph of \(y = f(x)\)…
Math•Q13
In the given equation, \(k\) and \(m\) are constants. The equation has infinitely many solutions. What is the value of \(m\)? \(\frac{-20x …
Math•Q14
The given function \(f\) models the balance of a bank account, in dollars, \(x\) years after it is opened. Which statement is the best inte…
Math•Q15
At a hotel, guests used the pool for a total of \(t\) hours in March. At the same hotel, guests used the pool for \(3.78t\) hours in April.…
Math•Q16
In the given equation, \(x, y,\) and \(z\) are positive numbers. Which expression is equivalent to \(y\)? \(\frac{1}{7xy} + xyz = \frac{1}{…
Math•Q17
A researcher selected 23 guinea pigs from one habitat and 19 wild cavies from another habitat at random in Venezuela. A field of a specific…
Math•Q18
The quadratic function \(g\) models the depth, in meters, below the surface of the water of a Weddell seal \(t\) minutes after the seal ent…
Math•Q19
The measure of angle \(G\) is \(\frac{\pi}{10}\) radians. If the measure of angle \(G\) is \(9n\) degrees, where \(n\) is a constant, what …
Math•Q20
In triangle \(XYZ\), the measure of angle \(X\) is \(90^\circ\). Point \(W\) lies on segment \(YZ\), and segment \(WX\) is perpendicular to…
Math•Q21
In the given equation, \(q\) is an integer constant. The given equation has no real solutions. What is the largest possible value of \(q\)?…
Math•Q22
In triangle \(ABC\), the measure of angle \(B\) is \(90^\circ\) and \(BD\) is an altitude of the triangle. The length of \(AB\) is \(15\) a…

2025 December US - A

2025 December INT - B

Verbal•Q11
Which finding, if true, would most directly challenge the researchers' conclusion?

2025 December US - A