SAT Math Past Questions

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A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded…

In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one of the surgeons is selected at random, which of the following…

y ≤ 3x + 1x − y > 1Which of the following ordered pairs (x, y) satisfies the system of inequalities above?

$\frac{1}{2}y = 4$ $x - \frac{1}{2}y = 2$The system of equations above has solution (x, y). What is the value of x?

-2x + 3y = 6In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?

The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?

In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 m…

Which of the following is an equivalent form of $(1.5x - 2.4)^2 - (5.2x^2 - 6.4)$?

The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models…

An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels di…

The weight of an object on Venus is approximately $\frac{9}{10}$ of its weight on Earth. The weight of an object on Jupiter is approximately $\frac{23}{10}$ of its weight on Earth. If an object weighs 100 pounds on E…

If 3(c + d) = 5, what is the value of c + d ?

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

Some values of the linear function f are shown in the table above. Which of the following defines f ?

Intersecting lines r, s, and t are shown below. What is the value of x ?

$\frac{2x + 6}{(x+2)^2}$ - $\frac{2}{x+2}$The expression above is equivalent to $\frac{a}{(x + 2)^2}$, where a is a positive constant and x ≠ -2. What is the value of a?

$\frac{1}{2}$(2x + y) = $\frac{21}{2}$ y = 2xThe system of equations above has solution (x,y). What is the value of x ?

2(p + 1) + 8(p -1) = 5pWhat value of p is the solution of the equation above?

Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat re…

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon,…

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SAT Math Past Questions

A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded…

In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one of the surgeons is selected at random, which of the following…

y ≤ 3x + 1x − y > 1Which of the following ordered pairs (x, y) satisfies the system of inequalities above?

\(\frac{1}{2}y = 4\) \(x - \frac{1}{2}y = 2\)The system of equations above has solution (x, y). What is the value of x?

-2x + 3y = 6In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?

The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?

In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 m…

Which of the following is an equivalent form of \((1.5x - 2.4)^2 - (5.2x^2 - 6.4)\)?

The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models…

An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels di…

The weight of an object on Venus is approximately \(\frac{9}{10}\) of its weight on Earth. The weight of an object on Jupiter is approximately \(\frac{23}{10}\) of its weight on Earth. If an object weighs 100 pounds on E…

If 3(c + d) = 5, what is the value of c + d ?

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

Some values of the linear function f are shown in the table above. Which of the following defines f ?

Intersecting lines r, s, and t are shown below. What is the value of x ?

\(\frac{2x + 6}{(x+2)^2}\) - \(\frac{2}{x+2}\)The expression above is equivalent to \(\frac{a}{(x + 2)^2}\), where a is a positive constant and x ≠ -2. What is the value of a?

\(\frac{1}{2}\)(2x + y) = \(\frac{21}{2}\) y = 2xThe system of equations above has solution (x,y). What is the value of x ?

2(p + 1) + 8(p -1) = 5pWhat value of p is the solution of the equation above?

Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat re…

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon,…