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.
2024 December US - B
- Math•Q4
A circle has a radius of 19 meters. What is the area, in square meters, of the circle?
- Math•Q5
The given equation relates the variables \(p\) and \(c\), where \(c\) is positive. Which equation correctly expresses \(c\) in terms of \(p…
- Math•Q6
The function \(f\) is defined by \(f(x) = 98x\). What is the slope of the graph of \(y = f(x)\) in the \(xy\)-plane?
- Math•Q7
A linear model estimates the population of a city from 1993 to 2017. The model estimates the population was 52 thousand in 1993, 219 thousa…
- Math•Q8
Which of the following is a solution to the given equation?
- Math•Q9
In the figure shown, point \(T\) lies on segment \(SW\), and segment \(TU\) is parallel to segment \(VW\). The measure of angle \(V\) is \(…
- Math•Q10
On January 1, there were 233 views of a video posted on a social media site. Every 2 days after January 1, the number of views of the video…
- Math•Q11
The shaded region shown represents the solutions to the inequality \(ry < 128\), where \(r\) is a constant. What is the value of \(r\)?
- Math•Q12
How many solutions does the equation \(4(16x - 20) = -16(5 - 4x)\) have?
- Math•Q13
The function \(f\) gives the value, in dollars, of a certain piece of equipment after \(x\) months of use. If the value of the equipment de…
- Math•Q14
A beekeeper's initial observation of the population of a certain bee colony was 1,100 bees. The beekeeper set a goal to increase the popula…
- Math•Q15
What is an equation of the graph shown?
- Math•Q16
Which expression is a factor of \(36x^2(x + 12) - 36(x + 12)^3\)?
- Math•Q17
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 …
- Math•Q18
The exponential function \(f\) is defined by \(f(x) = ab^x\), where \(a\) and \(b\) are positive constants. If \(f(s) = t\) and \(f(s + 1) …
- Math•Q19
A container has a volume of 0.84 cubic meters. Which of the following is closest to this volume, in quarts?
- Math•Q20
Function \(f\) is a quadratic function. The graph of \(y = f(x)\) in the \(xy\)-plane has a vertex at \((4, -6)\), contains the point \((3,…
- Math•Q21
In the given equation, \(b\) is an integer. The equation has no real solutions. What is the least possible value of \(b\)?
- Math•Q22
A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two speci…
2024 December US - C
- Math•Q1
If \(6x+36=18\), what is the value of \(x+6\)?
- Math•Q2
An adult elephant drinks by pulling water up into its trunk and then emptying the water into its mouth. If an adult elephant pulls between …
- Math•Q3
For a certain classification, the positive mass m, in grams, of an object must be less than 620 grams. Which inequality represents this sit…
- Math•Q4
The perimeter of an obtuse triangle is 32 meters. The lengths of two sides of this triangle are 8 meters and 9 meters. What is the length, …
- Math•Q5
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 th…
- Math•Q6
A group of 80 employees selected at random from all the employees at a company were surveyed about the number of books they read last year.…
- Math•Q7
Which expression is equivalent to \((6x^3 - 6x + 4) - (7x^6 + 7x - 2)\)?
- Math•Q8
The function \(f(x)=180(x-2)\) gives the sum of the interior angles, in degrees, for a polygon with x sides. What is the sum of the interio…
- Math•Q9
For the function h, the table gives three values of x and their corresponding values of \(h(x)\). Which equation could define h?
- Math•Q10
If the given function f is graphed in the xy-plane, where \(y=f(x)\), what is an x-intercept of the graph?
- Math•Q11
The solution to the given system of equations is \((x,y)\). What is the value of \(6x+6y\)?
- Math•Q12
In triangle DEF, the measure of angle D is \(43^{\circ}\) and the measure of angle E is \(112^{\circ}\). In triangle RST, the measure of an…
- Math•Q13
The solutions to the given system of equations are of the form \((x,y)\). What is a possible value of \(x\)?
- Math•Q14
What is the sum of the solutions to the given equation?
- Math•Q15
The roofs on the buildings of a public garden are designed to allow water to drain into the garden. The table shows the relationship betwee…
- Math•Q16
A circle has center O, and points A and B lie on the circle. The measure of arc AB is \(36^{\circ}\) and the length of this arc is 3 inches…
- Math•Q17
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…
- Math•Q18
In the given system of equations, w is a constant. In the xy-plane, the graphs of these equations intersect at the point (q, 19), where q i…
- Math•Q1
Each day Daniela takes a 30-minute morning walk. The equation \(s = 70m + 285\) models the total number of steps, s, Daniela has taken one …
- Math•Q2
The equation gives the estimated stock price y, in dollars, for a certain company x days after the company went public, where \(0 \le x \le…
- Math•Q3
One of the equations in a system of two linear equations is given. The system has infinitely many solutions. If the second equation in the …
- Math•Q4
The graph shows the total amount of rainfall y, in centimeters, from the start of a 10-hour period, where x is the number of hours after th…
- Math•Q5
A total of 3 squares each have side length r. A total of 6 equilateral triangles each have side length t. None of these squares and triangl…
- Math•Q6
How many solutions does the given equation have?
- Math•Q7
The given equation relates the real numbers x, y, and z, where \(x 0\). Which equation correctly expresses z in terms of x and y?
- Math•Q8
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 ol…
- Math•Q9
The function f gives the product of a number, x, and a number that is 62 more than x. Which equation defines f?
- Math•Q10
In the given equation, b and c are positive constants. The equation has more than one real solution. Which of the following describes the r…
- Math•Q11
In the given expression, a and c are positive constants. If \(px+q\) is a factor of the expression, where p and q are positive constants, w…
- Math•Q12
The equation \(N(m)=65(Q)^{\frac{m}{6}}\) gives the predicted population \(N(m)\), in thousands, of a certain bacteria colony m minutes aft…
- Math•Q13
In the xy-plane, a circle has center \(C\) with coordinates \((h,k)\). Points \(A\) and \(B\) lie on the circle. Point \(A\) has coordinate…
- Math•Q14
The lengths represented by \(\overline{ST}\), \(\overline{QP}\), \(\overline{PR}\), and \(\overline{QR}\) in the figure are 6, 16, 30, and …
- Math•Q15
An object's speed is increasing at a rate of 6.10 meters per second squared. What is this rate, in miles per minute squared, rounded to the…
- Math•Q16
In the given equation, c is a constant. A solution to the equation is \(\frac{9-\sqrt{725}}{14}\). What is the value of c?
2024 June US - A
- Math•Q1
In the figure, line \(n\) intersects lines \(r\) and \(s\). Line \(r\) is parallel to line \(s\). What is the value of \(x\)?
- Math•Q2
During a portion of a flight, a small airplane's cruising speed varied between 180 miles per hour and 190 miles per hour. Which inequality …
- Math•Q3
If \(4x=6\) what is the value of \(12x\)?
- Math•Q4
\(x^{2}-6x+y^{2}-12y-36=0\) In the \(xy\)-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what…
- Math•Q5
Which expression is equivalent to \((x^{3}+6x^{2}-8x)+8(x^{2}+4)\)?
- Math•Q6
The function \(f\) is defined by \(f(x)=x^{3}+17\). What is the value of \(f(2)\)?
- Math•Q7
The function \(g\) is defined by \(g(x)=\frac{x}{2}\). For what value of \(x\) does \(g(x)=244\)?
- Math•Q8
The scatterplot shows the relationship between two variables, \(x\) and \(y\). Which of the following equations is the most appropriate lin…
- Math•Q9
\(5x-4y=-20\) For the given equation, which table gives three values of \(x\) and their corresponding values of \(y\)?
- Math•Q10
A chemist combines water and isopropanol to make a mixture with a volume of \(52\) milliliters (mL). The volume of isopropanol in the mixtu…
- Math•Q11
\(y=-\frac{1}{3}x\) \(y=\frac{1}{5}x\) The solution to the given system of equations is \((x,y)\). What is the value of \(x\)?
- Math•Q12
A company has a customer loyalty program. In January 2018, there were 900 customers enrolled in the loyalty program. For the next 24 months…
- Math•Q13
The function \(f(t)=10,000(2)^{\frac{t}{350}}\) gives the number of bacteria in a population \(t\) minutes after an initial observation. Ho…
- Math•Q14
\(y=\frac{3}{8}x+7\) One of two equations in a system of linear equations is given. The system has infinitely many solutions. What is the s…
- Math•Q15
If \(x^{2}-6x-9=0\), what is the value of \(x^{2}-6x\)?
- Math•Q16
The function \(f\) is defined by \(f(x)=(x-5)(x-8)(x+k)\), where \(k\) is a constant. In the \(xy\)-plane, the graph of \(y=f(x)\) passes t…
- Math•Q17
Line \(k\) is shown in the \(xy\)-plane. Line \(j\) (not shown) is perpendicular to line \(k\) and passes through the point \((-12,-19)\). …
- Math•Q18
What is the median of the data set shown?
- Math•Q19
In right triangle ABC, angles A and B are acute, side AC has a length of 21.7, and \(\tan B=\frac{1}{8}\). What is the length of side BC, r…
- Math•Q20
A rectangular banner has an area of 2,500 square inches. A copy of the banner is made in which the length and width of the original banner …
- Math•Q21
\(f(x)=(x-2)^{2}+9\) What is the minimum value of the given function?
- Math•Q22
Point F lies on a unit circle in the \(xy\)-plane and has coordinates \((1, 0)\). Point G is the center of the circle and has coordinates \…
- Math•Q1
Which of the following is a graph of a decreasing exponential function?
- Math•Q2
What is the \(y\)-intercept of the graph of \(y=2x^{2}+6x+3\) in the \(xy\)-plane?
- Math•Q3
The product of a positive number \(x\) and the number that is 1 less than \(x\) is equal to 342. What is the value of \(x\)?
- Math•Q4
A cylinder has a diameter of 14 inches and a height of 8 inches. What is the volume, in cubic inches, of the cylinder?
- Math•Q5
\(y=2x^{2}-23x+64\) \(y=x+a\) In the given system of equations, \(a\) is a constant. The graphs of the equations in the given system inters…
- Math•Q6
In triangle PQR, \(\overline{QR}\) is extended to point S. The measure of \(\angle PQR\) is \(142^\circ\) and the measure of \(\angle PRS\)…
- Math•Q7
Eli used wax to make candles. The function \(f(x)=-15x+60\) approximates the weight, in ounces, of wax Eli had remaining after making \(x\)…
- Math•Q8
\(ak=\frac{b}{12}(7+m)\) The given equation relates the positive variables \(a, b, k\), and \(m\). Which equation correctly expresses \(m\)…
- Math•Q9
The function \(g\) is defined by \(g(x)=10^{3x-1}\). What is the value of \(x\) when \(g(x)\) is equal to 10,000?
- Math•Q10
If \(\frac{x}{y}=3\) and \(\frac{5x}{ty}=135\), what is the value of \(t\)?
- Math•Q11
A piece of string with a length of 35 inches is cut into two parts. One part has a length of \(x\) inches, and the other part has a length …
- Math•Q12
Which equation has no solution?
- Math•Q13
\(F(x)=\frac{9}{5}(x-273.15)+32\) The function \(F\) gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of \(x…
- Math•Q14
An environmental scientist is investigating the volatility of 175 organic compounds by finding the boiling point of each compound. The mean…
- Math•Q15
Line \(k\) is defined by \(y=6x+5\). Line \(j\) is parallel to line \(k\) in the \(xy\)-plane and passes through the point \((0, 11)\). Whi…
- Math•Q16
\(f(x)=24(1.30)^{\frac{x}{3}}\) For the given function \(f\), the value of \(f(x)\) increases by \(p\%\) for every increase of \(x\) by 6. …
- Math•Q17
A carpenter charges a flat rate of \$234 for the first 3 hours of work and \$65 for each additional hour of work. Which equation gives the …
- Math•Q18
\(\sqrt[5]{119n}(\sqrt[6]{119n})^{2}\) For what value of \(x\) is the given expression equivalent to \((119n)^{x}\) where \(n>1\)?
- Math•Q19
The table summarizes the distribution of age and assigned group for 105 participants in a study. One of these participants will be selected…
- Math•Q20
The table shows three values of \(x\) and their corresponding values of \(g(x)\), where \(g(x)=\frac{f(x)}{x+5}\) and \(f\) is a linear fun…
- Math•Q21
The mass of object A is \(483\%\) of the mass of object B, and the mass of object A is \(0.069\%\) of the mass of object C. If the mass of …
- Math•Q22
\(\frac{1}{cx}=\frac{x}{152}+\frac{1}{c}\) In the given equation, \(c\) is a constant. If the equation has exactly one solution, what is th…
2024 June US - B
- Math•Q1
In the figure, line (n) intersects lines (r) and (s). Line (r) is parallel to line (s). What is the value of (x)?
- Math•Q2
During a portion of a flight, a small airplane's cruising speed varied between 125 miles per hour and 135 miles per hour. Which inequality …
- Math•Q3
If \(5x=4\), what is the value of \(40x\)?