SAT Pastpaper with Solutions

If = 10, what is the value of 2n −1?

Which of the following values of x is NOT a solution to the equation above?

Of the following, which best approximates the temperature, in degrees Fahrenheit, of the coffee when it is first removed from the heat source?

In an experiment, a heated cup of coffee is removed from a heat source, and the cup of coffee is then left in a room that is kept at a constant temperature. The graph above shows the temperature, in degrees Fahrenheit (°F), of the coffee immediately after being removed from the heat source and at 10-minute intervals thereafter.

During which of the following 10-minute intervals does the temperature of the coffee decrease at the greatest average rate?

Note: Figure not drawn to scale. In the figure above, AD intersects BE at C. If x = 100, what is the value of y?

According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?

On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?

Plant A is currently 20 centimeters tall, and Plant B is currently 12 centimeters tall. The ratio of the heights of Plant A to Plant B is equal to the ratio of the heights of Plant C to Plant D. If Plant C is 54 centimeters tall, what is the height of Plant D, in centimeters?

(4x +4)(ax −1) − x² +4

In the expression above, a is a constant. If the expression is equivalent to bx, where b is a constant, what is the value of b?

If 2w + 4t = 14 and 4w + 5t = 25, what is the value of 2w +3t?

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is 3/ 4 cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults.

If p percent of an adult’s daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x?

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is 3/ 4 cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults.

Which of the following could be the graph of the number of calories from fat in Crunchy Grain cereal as a function of the number of 3 /4 cup servings of the cereal?

The graph of the exponential function h in the xy-plane, where y   =h (x), has a y-intercept of d, where d is a positive constant. Which of the following could define the function h?

Near the end of a US cable news show, the host invited viewers to respond to a poll on the show’s website that asked, “Do you support the new federal policy discussed during the show?” At the end of the show, the host reported that 28% responded “Yes,” and 70% responded “No.” Which of the following best explains why the results are unlikely to represent the sentiments of the population of the United States?

A company purchased a machine valued at $120,000.

The value of the machine depreciates by the same amount each year so that after 10 years the value will be $30,000. Which of the following equations gives the value, v, of the machine, in dollars, t years after it was purchased for 0 ≤ t ≤ 10? 

Line m in the xy-plane contains the points (2, 4) and ( 0, 1). Which of the following is an equation of line m?

If sinx° = a, which of the following must be true for all values of x?  

h (x) = −16x ² + 100x + 10

The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If y  = h(x) is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?

In the xy-plane, the graph of the polynomial function f crosses the x-axis at exactly two points, (a,0) and (b,0), where a and b are both positive.  Which of the following could define f?

If y = 3x ² +6x +2 is graphed in the xy-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation? 

degrees Celsius (°C), on 12 different days. A line of best fit for the data is also shown. Which of the

following could be an equation of the line of best fit?

Human blood can be classified into four common blood types—A, B, AB, and O. It is also characterized by the presence (+) or absence (–) of the rhesus factor. The table above shows the distribution of blood type and rhesus factor for a group of people. If one of these people who is rhesus negative (–) is chosen at random, the probability that the person has blood type B is 1 /9. What is the value of x?

Based on the graph above, in how many of the games played did the soccer team score goals equal to the median number of goals for the 29 games?

 x − y = 12

ax − by = 9

The system of equations above has no solutions. If a and b are constants, what is the value of a/b?

The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013

Based on the information given in the table, how much greater, in millions, was the median number of international tourist arrivals to the top nine tourist destinations in 2013 than the median number in 2012, to the nearest tenth of a million?

The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013.

The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer?