SAT Pastpaper with Solutions

What is the mean of the data shown? 

1,4,7,10,33

A sleep study consisted of 59 participants, of which 53 participants each had an average of more than 120 minutes of rapid eye movement (REM) sleep per night. If a participant from this sleep study is selected at random, what is the probability of selecting a participant that had an average of more than 120 minutes of REM sleep per night?

For certain air temperatures, the table gives wind chill temperatures for two different wind speeds.

According to the table, what is the wind chill temperature, in degrees Fahrenheit (), when the air temperature is and the wind speed is 15 miles per hour ( mph )? (Disregard the degree symbol when entering your answer.)

A soccer team's goal is to earn at least by selling coupon books. The team earns from selling each coupon book. Which of the following inequalities describes all possible values for the number of coupon books, , the team can sell to meet the goal?

The given equation describes the relationship between the number of cats, C, and the number of dogs,d, that can be cared for at a pet care business during a week. If the business cares for 12 dogs during a week, how many cats can it care for during this week?

In the given equation,  P is an integer constant. The equation has no real solution. What is the least possible value of P?

For the triangles shown, triangle   is dilated by a scale factor of 5 to obtain triangle  , where  . What is the measure, in degrees, of angle   ?

The area of triangle   is 220 square centimeters. What is the height  , in centimeters, of this triangle?

In the right triangle shown, the value of is . What is the value of  ?

The graph of the polynomial function   in the  -plane, where  , has  -intercepts of   and  . Which of the following must be true?

What is a positive solution to the given equation? 

The table above shows the number of children in each of 110 families. What is the median number of children in these families?

In the  -plane, the graph of the equation   is a circle. The point  , where  is a constant, lies on this circle. What is the value of  ?

If x is the solution to the given equation, what is the value of  ？

The solution to the given system of equations is  . What is the value of   ?

The function   is defined by  . What is the value of   ?

The graph of a line in the  -plane passes through the point  and crosses the  -axis at the point  . The line crosses the  -axis at the point  . What is the value of   ?

The table shows three values of   and their corresponding values of . The linear relationship between  and   can be represented by an equation written in the form , where  , and   are constants. What is the value of   ?

For each real number  , which of the following points lies on the graph of each equation in the  -plane for the given system?

I.5x+8y=9

II. 15x+24y=27