SAT Math Past Questions

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f(x) = 2$^x$ + 1The function f is defined by the equation above. Which of the following is the graph of y = −f(x) in the xy-plane?

At a restaurant, n cups of tea are made by adding t tea bags to hot water. If t = n + 2, how many additional tea bags are needed to make each additional cup of tea?

Which of the following is equivalent to 9$^{\frac{3}{4}}$ ?

The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

A total of 2 questions refer to the following information.If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes, the average number of shoppers…

A total of 2 questions refer to the following information.If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes, the average number of shoppers…

y $\leq$ -15x + 3000 y $\leq$ 5xIn the xy‑plane, if a point with coordinates (a, b) lies in the solution set of the system of inequalities above, what is the maximum possible value of b ?

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can…

(-3x$^2$ + 5x - 2) - 2(x$^2$ - 2x -1)If the expression above is rewritten in the form ax$^2$ + bx + c, where a, b, and c are constants, what is the value of b ?

The table above lists the ages of the first 12 United States presidents when they began their terms in office. According to the table, what was the mean age, in years, of these presidents at the beginning of their term…

Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than $14 on x student tickets and 1 adult ticket, what is one possible value of x ?

3x + b = 5x - 7 3y + c = 5y - 7In the equations above, b and c are constants. If b is c minus $\frac{1}{2}$, which of the following is true?

The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students at Keisel Middle School. There are 5 times as many right-handed female students…

In planning maintenance for a city’s infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the cit…

A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of p ?

In the xy-plane, the line determined by the points (2, k) and (k, 32) passes through the origin. Which of the following could be the value of k ?

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic…

Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give…

The angles shown above are acute and sin(a°) = cos(b°). If a = 4 − 22 k and b = 6 − 13 k , what is the value of k ?

2 3 4 5 6

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SAT Math Past Questions

f(x) = 2\(^x\) + 1The function f is defined by the equation above. Which of the following is the graph of y = −f(x) in the xy-plane?

At a restaurant, n cups of tea are made by adding t tea bags to hot water. If t = n + 2, how many additional tea bags are needed to make each additional cup of tea?

Which of the following is equivalent to 9\(^{\frac{3}{4}}\) ?

The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

A total of 2 questions refer to the following information.If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes, the average number of shoppers…

A total of 2 questions refer to the following information.If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes, the average number of shoppers…

y \(\leq\) -15x + 3000 y \(\leq\) 5xIn the xy‑plane, if a point with coordinates (a, b) lies in the solution set of the system of inequalities above, what is the maximum possible value of b ?

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can…

(-3x\(^2\) + 5x - 2) - 2(x\(^2\) - 2x -1)If the expression above is rewritten in the form ax\(^2\) + bx + c, where a, b, and c are constants, what is the value of b ?

The table above lists the ages of the first 12 United States presidents when they began their terms in office. According to the table, what was the mean age, in years, of these presidents at the beginning of their term…

Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than $14 on x student tickets and 1 adult ticket, what is one possible value of x ?

3x + b = 5x - 7 3y + c = 5y - 7In the equations above, b and c are constants. If b is c minus \(\frac{1}{2}\), which of the following is true?

The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students at Keisel Middle School. There are 5 times as many right-handed female students…

In planning maintenance for a city’s infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years. If the present population of the cit…

A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of p ?

In the xy-plane, the line determined by the points (2, k) and (k, 32) passes through the origin. Which of the following could be the value of k ?

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic…

Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give…

The angles shown above are acute and sin(a°) = cos(b°). If a = 4 − 22 k and b = 6 − 13 k , what is the value of k ?