Digital SAT Math Practice Test 2025 Questions Answers

Last Updated on February 18, 2025

Try our free Digital SAT Math Practice Test 2025 Questions Answers online quiz Section 2 (Module 1 and 2).  The SAT Math focuses on the core math skills that you will need to succeed in various college majors and future careers.

Whether you are an engineer, a nurse, a teacher, a graphic designer, or a business manager, it will be essential to know how to work with numbers and interpret data.

Digital SAT Math Practice Test

There are two modules, each with 22 questions and 35 minutes. The first module is of standard difficulty, and the second module is of adaptive difficulty (it will be easier or more difficult depending on student performance on the first module). Four of the questions (two per module) are experimental and will not count towards the score.

Algebra will be about 35% of the questions; Advanced Math will be about 35% of the questions; Problem-Solving and Data Analysis will be about 15% of the questions; and Geometry and Trigonometry will be about 15% of the questions.

Section 2 Math Module 1 Practice Test

35 MINUTES, 22 QUESTIONS

5

SAT Section 2, Module 1: Math 35 MINUTES, 22 QUESTIONS

SAT Section 2, Module 1:
Math 35 MINUTES, 22 QUESTIONS

For multiple-choice questions, solve the problem and pick the correct answer from the provided choices. Each multiple-choice question has only one correct answer.

For student-produced response questions, solve each problem and record your answer following these guidelines:

If you find more than one correct answer, enter just one answer.

You can enter up to five characters for a positive answer and up to six characters (this includes the negative sign) for a negative answer.

If your answer is a fraction that does not fit in the given space, enter the decimal equivalent instead.

If your answer is a decimal that does not fit in the given space, enter it by stopping at or rounding up at the fourth digit

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1) What is the median of this set of numbers?

{2, 5, 7, 9, 12, 16}

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2)

What equation represents the relationship between mass, m, and volume, v, in the above graph?

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3) The total calories for a particular salad are 1,100. The salad consists of only cheese, vegetables, and dressing. If the total caloric value of the cheese and vegetables is 650, and each packet of dressing used on the salad has 75 calories, how many packets of dressing were used on the salad?

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4) If \frac{x^{2}}{6} = \frac{x}{2} what is the value of x?

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5) if \frac{2}{3}x - 1 = \frac{1}{6}x + 4 what is the value of x?

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6)

What is the measure in degrees of ∠X given that AB, AC, CD, and DB are straight lines and C is the center of the circle?

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7) The function f is expressed as f(x) = k for all values of x, and k is a constant real number. Which of the following must be true?

I. f(x) forms a line.
II. f(x) has a slope of zero.
III. f(x) has a range from − ∞ to + ∞.

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8) A particular line is graphed in the xy-plane and uses only real numbers. The line has a positive slope and a positive y-intercept. Which of these points could be on the line?

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9)

If there were a randomly selected pet owner from the table above, what is the probability that they would be a male cat owner?

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10) Jane is watering her garden and spends 5 minutes watering each tree and 2 minutes watering each shrub. If she can spend no more than 30 minutes watering her garden, which inequality represents the number of T trees and S shrubs she can water given these constraints?

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11) Kamini wants to make money from recycling aluminum cans and glass bottles. Her local government pays her $0.10 per can and $0.16 for each bottle. If she wants to earn a total of at least $100 and has collected a total of 600 cans, what is the minimum number of bottles she would need to collect to reach her goal?

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12) There are 3 teaspoons in a tablespoon and 16 tablespoons in a cup. How much of a cup or cups would there be in 12 teaspoons?

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13) In a right rectangular prism, the smallest edge is 2 cm long. The next greatest edge is twice the length of the smallest edge, and the greatest edge is 3 times the length of the smallest edge. What is the surface area of the prism?

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14) If \frac{x}{4} = 6 , what is \frac{x}{8}?

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15) The equation for gravitational force, Fg, is the following:

G is the gravitational constant, m1 and m2 are the masses of objects, and r is the distance between the objects.

How would the gravitational force between two objects change if the distance between the objects doubles while all other quantities remain the same?

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16) \frac{6}{7} × \frac{14}{3} = ?

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17) A restaurant charges $5 for a cheeseburger and $4 for a hamburger. If Connor wants to buy at least 2 of each sandwich and spend a total of between $20–$30 (inclusive) on sandwiches, what is a possible value for the number of cheeseburgers Connor purchased?

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18) What is y in terms of x in the following inequality?

12 < −4x + 6y

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19) Suppose the price of a product is typically p dollars. If a 30% discount is applied to the price, what is the discounted price in terms of p?

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20) The graph of a line in the x-y plane is totally vertical and has a negative x- intercept. Which of the following could represent a line with these conditions?

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21) Triangle ABC has a right angle B. If side AB has a length of 7 units and side BC has a length of 24 units, what is the length in units of side AC?

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22) The price of a video streaming service increases by 15% each year. If the price, P, of the service begins at v dollars, what is the value of the constant c in the following function that models the price of the service t years after it begins?

P = vct

Your score is

Section 2 Math Module 2 Practice Test

35 MINUTES, 22 QUESTIONS

3

SAT Section 2, Module 2: Math 35 MINUTES, 22 QUESTIONS

SAT Section 2, Module 2:
Math 35 MINUTES, 22 QUESTIONS

For multiple-choice questions, solve the problem and pick the correct answer from the provided choices. Each multiple-choice question has only one correct answer.

For student-produced response questions, solve each problem and record your answer following these guidelines:

If you find more than one correct answer, enter just one answer.

You can enter up to five characters for a positive answer and up to six characters (this includes the negative sign) for a negative answer.

If your answer is a fraction that does not fit in the given space, enter the decimal equivalent instead.

If your answer is a decimal that does not fit in the given space, enter it by stopping at or rounding up at the fourth digit

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1) Which of the following is equivalent to 8^{\frac{1}{3}}

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2)

The escape velocity for a given spherical body, like a planet or a star, is given by the above formula, in which G is the gravitational constant, r is the distance from the center of the body’s mass to the object, and m is the mass of the spherical body. What is M in terms of the other variables?

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3) If x + y = 7 and x − y = 3, what is the value of 3 x2 − 3 y2?

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4) Density equals mass divided by volume. If density is graphed as a line with mass corresponding to the y value and the volume corresponding to the x value, what aspect of the function corresponds to the density of the substance?

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5) What is the sum of the following polynomials?

5 x3 − x + 4 and 6 x3 + x2 − 3

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6) 2x − 3y = 7
6x + ky = 21

For what value of the constant k will the above system of equations have infinitely many solutions?

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7) If x + 3 = y and xy = 40, what is the sum of x and y, given that both x and y are positive?

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8) A sphere has a volume of 8 cubic feet. What is the volume in cubic feet of a sphere with twice the radius of the original one?

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9)

If square ABCD has an area of 36 square units, what is the perimeter of square WXYZ given that each vertex of square WXYZ bisects the side of square ABCD that it intersects?

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10) What is the y-intercept of the graph of the function y = 2x − 3?

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11) h(t) = − 16 t2 + 16t + 10

The function above portrays the height, h, of a projectile t seconds after being thrown. Which of the following would be the time in seconds at which the height of the projectile is at its maximum value?

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12) Due to radiation, the mass of a substance decreases by 0.5% every day. Which type of function would properly model the mass of the substance as the days go by?

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13) Which of the following is an equivalent form of z = x − y?

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14) Which of the following is a solution for x in the equation 4x = 2 − 3 x2?

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15) Travel Statistics on Journey from Times Square to Harlem in
New York City

If Sarah took the subway from Times Square to Harlem, what was her speed in miles per hour, to the nearest tenth?

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16)

The graph of the above line is portrayed by which of the following equations?

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17) Students at a university were surveyed as to whether they wanted a new library for the university. Out of the 100 students surveyed, 40% said they wanted a new library. What is justifiable based on this information?

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18) Water from the ocean has 3.5% salt, and water from the Dead Sea has 33.7% salt. If someone has 10 gallons of ocean water, how many gallons of water from the Dead Sea (measured to the nearest hundredth of a gallon) need to be added so that the solution has 10% salt?

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19)

Which equation would portray the function graphed above?

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20) A function g(x) has values given in the table below:

Which of the following would be a factor of g(x)?

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21) A circle has the equation (x − a)2 + (y − b)2 = 9, in which a and b are positive constants. What must the values of a and b be in order for all the x and y coordinates of the circle to be greater than zero?

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22) 2a − 3b = 5
3a − 2b = 10

The solution to the above system of equations is (a, b). What is the value of a − b?

Your score is

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