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 INT - B
- Math•Q12
The list gives the number of individuals in each of \(6\) groups of ring-tailed lemurs. \(19, 7, 22, 19, 20, 9\). What is the range of the …
- Math•Q13
The given equation relates the distance \(d\), in inches, of an object from its starting position to the time \(t\), in seconds, since the …
- Math•Q14
What is the slope of the graph of \(y = \frac{1}{2}(17x + 19) + 5x\) in the \(xy\)-plane?
- Math•Q15
The table shows three values of \(x\) and their corresponding values of \(f(x)\) where \(f(x) = \frac{kx + 45}{x + 2}\) and \(k\) is a cons…
- Math•Q16
If a student is selected at random, what is the probability of selecting a student whose favorite core subject is mathematics?
- Math•Q17
The function \(f\) is defined by \(f(x) = \frac{x + 16}{5}\), and \(f(a) = 14\), where \(a\) is a constant. What is the value of \(a\)?
- Math•Q18
A sphere has a radius of \(\frac{26}{5}\) feet. What is the volume, in cubic feet, of the sphere?
- Math•Q19
A company that manufactures staplers calculates its monthly profit, in dollars, by subtracting its fixed monthly costs, in dollars, from it…
- Math•Q20
If \(\frac{x - 16}{18} = \frac{x - 16}{9}\), what is the value of \(x + 16\)?
- Math•Q21
What is the sum of the solutions to the given equation?
- Math•Q22
The graph of line \(h\) is shown in the \(xy\)-plane. Line \(k\) (not shown) is defined by \(sx + 40y = t\), where \(s\) and \(t\) are cons…
- Math•Q1
Levi and Marissa each have stamp collections. The number of stamps in Levi's collection is \(250\%\) of the number of stamps in Marissa's c…
- Math•Q2
The graph of a system of a linear equation and a quadratic equation is shown. Which of the following is a solution \((x,y)\) to the system?
- Math•Q3
An object moves at a speed of \(\frac{3}{16}\) feet per second. What is this speed, in yards per second? (\(3\) feet = \(1\) yard)
- Math•Q4
Which expression is equivalent to \(106t^3 - 26t^2u\)?
- Math•Q5
Circle \(K\) has a radius of \(11\) millimeters (mm). Circle \(L\) has an area of \(144\pi \text{ mm}^2\). What is the total area, in \(\te…
- Math•Q6
Which expression is equivalent to \(2(x - \frac{7}{2})(x + 8)\)?
- Math•Q7
The function \(f\) is defined by \(f(x) = (-2)(5)^x + 31\). What is the \(y\)-intercept of the graph of \(y = f(x)\) in the \(xy\)-plane?
- Math•Q8
Which inequality represents the \(x\) values for all solutions \((x,y)\) that satisfy the given system of inequalities in the \(xy\)-plane?
- Math•Q9
In the \(xy\)-plane, an equation of circle \(A\) is \((x - 4)^2 + (y - 8)^2 = 16\). Circle \(B\) has the same center as circle \(A\) but ha…
- Math•Q10
A property owner wants to find the length \(x\), in feet, across a pond as represented in the figure. \(\overline{PR}\) intersects \(\overl…
- Math•Q11
In right triangle \(RST\), the sum of the measures of angle \(R\) and angle \(S\) is \(90\) degrees. The value of \(\sin(R)\) is \(\frac{\s…
- Math•Q12
In the figure shown, the measure of angle \(X\) is \(54^\circ\). The length of \(\overline{XY}\) is \(26\) units and the length of \(\overl…
- Math•Q13
A partially filled container containing \(24\) milliliters of water is placed under a leaky faucet that produces one \(0.06\)-milliliter dr…
- Math•Q14
A research manager selected 2 random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to p…
- Math•Q15
In the given equation, \(r\) and \(s\) are constants. The equation has no solution. What is the value of \(r\)?
- Math•Q16
One solution to the given equation can be written as \(\frac{-s + \sqrt{t}}{2}\), where \(s\) and \(t\) are positive integers. What is the …
- Math•Q17
The equation \(N(m) = 63(Q)^{\frac{m}{6}}\) gives the predicted population \(N(m)\), in thousands, of a certain bacteria colony \(m\) minut…
- Math•Q18
A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launc…
- Math•Q19
Raheem bought 9 shirts that were each the same price. He used a coupon for \$54 off the entire purchase. The cost for the entire purchase a…
- Math•Q20
The function \(p\) is defined by \(p(x) = a((x+4)^2 - b)((x+4)^2 - c)\), where \(a, b,\) and \(c\) are constants. In the \(xy\)-plane, the …
- Math•Q21
One of the equations in a system of two linear equations is given, where \(n\) is a positive constant. The system has no solution. Which eq…
2024 December US - A
- Math•Q1
Which expression is equivalent to \(13(x^{2}-7)\)?
- Math•Q2
A sleep study consisted of 59 participants, of which 53 participants each had an average of more than 120 minutes of rapid eye movement (RE…
- Math•Q3
According to the table, what is the wind chill temperature, in degrees Fahrenheit (°F), when the air temperature is \(26^{\circ}F\) and the…
- Math•Q4
A soccer team's goal is to earn at least \$1,320 by selling coupon books. The team earns \$12 from selling each coupon book. Which of the f…
- Math•Q5
If the business cares for 12 dogs during a week, how many cats can it care for during this week?
- Math•Q6
In the given equation, p is an integer constant. The equation has no real solution. What is the least possible value of p?
- Math•Q7
For the triangles shown, triangle ABC is dilated by a scale factor of 5 to obtain triangle XYZ, where \(d=19\). What is the measure, in deg…
- Math•Q8
The area of triangle ABC is 220 square centimeters. What is the height h, in centimeters, of this triangle?
- Math•Q9
In the right triangle shown, the value of \(\tan x\) is \(\frac{c}{39}\). What is the value of \(c\)?
- Math•Q10
The graph of the polynomial function f in the xy-plane, where \(y=f(x)\) has x-intercepts of (-5,0) and (6,0). Which of the following must …
- Math•Q11
What is a positive solution to the given equation?
- Math•Q12
In the xy-plane, the graph of the equation \((x-6)^{2}+(y-2)^{2}=36\) is a circle. The point (12, c), where c is a constant, lies on this c…
- Math•Q13
If x is the solution to the given equation, what is the value of \(x-4\)?
- Math•Q14
The solution to the given system of equations is \((x,y)\). What is the value of \(\frac{11}{4}x+6y\)?
- Math•Q15
The function h is defined by \(h(x)=14(2)^{-x}+7\). What is the value of \(h(3)\)?
- Math•Q16
The graph of a line in the xy-plane passes through the point (1,8) and crosses the x-axis at the point (7, 0). The line crosses the y-axis …
- Math•Q17
The table shows three values of x and their corresponding values of y. The linear relationship between x and y can be represented by an equ…
2024 December US - C
2024 December US - A
- Math•Q1
Julia purchased 800 feet of fencing. She used 60% of this fencing to surround a vegetable garden. How many feet of fencing did Julia use to…
- Math•Q2
What is the mean of the data shown?
- Verbal•Q4
In the given equation, p is an integer constant. The equation has no real solution. What is the least possible value of p?
- Math•Q4
What is the y-intercept of the graph of \(y=16^{x+3}\) in the xy-plane?
- Math•Q5
The function g is defined by \(g(x)=-18-9x\). For what value of x does \(g(x)=-216\)?
- Math•Q6
The population of a certain city doubled every 25 years from 1660 to 1760. The population of this city was 208,000 in 1760. What was the po…
- Math•Q7
How many solutions does the equation \(7x-19=19-7x\) have?
- Math•Q8
The point \((x, 54)\) is a solution to the given system of inequalities in the xy-plane. Which of the following could be the value of x?
- Math•Q9
A linear function f gives a company's profit, in dollars, for selling x items. The company's profit is \$190 when it sells 4 items, and its…
- Math•Q10
Which quadratic equation has no real solutions?
- Math•Q11
The circumference of the base of a right circular cylinder is \(6\pi\) meters, and the height of the cylinder is 19 meters. What is the vol…
- Math•Q12
A carnival receives \$10 for each adult admission ticket sold and \$5 for each child admission ticket sold. On a particular day, the carniv…
- Math•Q13
The graphs of the equations in the given system intersect at the point \((x,y)\) in the xy-plane. What is a possible value of \(y\)?
- Math•Q14
According to the function, for each increase of 18 cm in the length of the radius, this partial length of the circumference increases by \(…
- Math•Q15
For the given function f, the value of \(f(x)\) increases by \(p\%\) for every increase of x by 6. What is the value of p?
- Math•Q16
If \(k(53p)=p\), where p is a constant, what is the value of p?
- Math•Q17
Which equation best represents this model, where M is the estimated total mass, in grams, of the population of insects at the end of t week…
- Math•Q18
What was the net percentage increase in the value of the autographed baseball from the end of 2012 to the end of 2014?
- Math•Q19
The expression \(\sqrt[4]{n^{5}}\cdot\sqrt[8]{n^{5}}\), where \(n>1\), is equivalent to \(n^{2a+1}\). What is the value of \(a\)?
- Math•Q20
What is the value of \(\frac{BC}{BD}\)?
- Math•Q21
Which of the following is closest to this rate in square meters per minute? (Use 1 meter = 3.28 feet.)
- Math•Q22
What is the best interpretation of \(f(11)=300\)?
- Verbal•Q1
Which equation defines h?
- Verbal•Q2
Which equation represents this situation?
- Verbal•Q3
If \(121x^{2}=-110x+56\), what is the value of \(11x+5\), where \(11x+5>0\)?
2024 December US - B
- Math•Q1
The graph shows the linear relationship between \(x\) and \(y\). Which table gives three values of \(x\) and their corresponding values of …
- Math•Q2
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•Q3
If \(6x + 36 = 54\), what is the value of \(x + 6\)?
- Math•Q4
For a certain classification, the positive mass \(m\), in grams, of an object must be less than 510 grams. Which inequality represents this…
- Math•Q5
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, …
- Math•Q6
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•Q7
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.…
- Math•Q8
Which expression is equivalent to \((5x^3 - 3x + 8) - (9x^6 + 5x - 3)\)?
- Math•Q9
The scatterplot shows the relationship between the time spent studying, in hours, and the test score for \(7\) students. A line of best fit…
- Math•Q10
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…
- Math•Q11
For the function \(h\), the table gives three values of \(x\) and their corresponding values of \(h(x)\). Which equation could define \(h\)?
- Math•Q12
If the given function \(f\) is graphed in the \(xy\)-plane, where \(y = f(x)\), what is the \(x\)-coordinate of an \(x\)-intercept of the g…
- Math•Q13
The solution to the given system of equations is \((x, y)\). What is the value of \(3x + 5y\)?
- Math•Q14
In triangle \(DEF\), the measure of angle \(D\) is \(47^{\circ}\) and the measure of angle \(E\) is \(97^{\circ}\). In triangle \(RST\), th…
- Math•Q15
The solutions to the given system of equations are of the form \((x, y)\). What is a possible value of \(x\)?
- Math•Q16
In the \(xy\)-plane, the graph of function \(f\), where \(y = f(x)\), has exactly 8 \(x\)-intercepts. One of these \(x\)-intercepts is \((1…
- Math•Q17
What is the sum of the solutions to the given equation?
- Math•Q18
In the \(xy\)-plane, line \(s\) passes through the point \((0, 0)\) and is parallel to the line represented by the equation \(y = 42x + 6\)…
- Math•Q19
A circle has center \(Q\), and points \(A\) and \(B\) lie on the circle. The measure of arc \(AB\) is \(60^{\circ}\), and the length of thi…
- Math•Q20
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•Q21
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)\…
- Math•Q22
In the triangle shown, what is the value of \(\sin x^\circ\)?
- Math•Q1
The function \(g\) is defined by \(g(x) = 18 - x\). What is the value of \(g(3)\)?
- Math•Q2
The graph gives the estimated revenue, in dollars, for a company when the price of the company's product is \(x\) dollars. What does the \(…
- Math•Q3
For a linear relationship between \(x\) and \(y\), the table gives three values of \(x\) and their corresponding values of \(y\). Which equ…