SAT Pastpaper with Solutions

The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range , and standard deviation for the data were found . The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight . What value remains unchanged if the four values are reported using the corrected weight?

A television with a price of is to be purchased with an initial payment of and weekly payments of . Which of the following equations can be used to find the number of weekly payments, x, required to complete the purchase, assuming there are no taxes or fees?

In the figure , point B lies on AD . What is the value of 4x?

The table shows shipping charges for an online retailer that sells sporting goods. There is a linear relationship between the shipping charge and the weight of the merchandise . Which function can be used to determine the total shipping charge f(x) , in dollars, for an order with a merchandise weight of x pounds?

The graph of y = f (x) is shown in the xy-plane. What is the value of f(0)?

If x < 0 , which of the following is equivalent to the given expression?

In the equation above, a is a constant. The graph of the equation in the xy-plane is a parabola. Which of the following is true about the parabola?

Clayton will mix x milliliters of a 10% by mass saline solution with y milliliters of a 20% by mass saline solution in order to create an 18% by mass saline solution. The equation above represents this situation. If Clayton uses 100 milliliters of the 20% by mass saline solution, how many milliliters of the 10% by mass saline solution must he use?
0.10x + 0.20y = 0.18(x + y)

Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees' pollen grains per square centimeter that were deposited each year within layers of a lake's sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1% annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P(t) , the number of pollen grains per square centimeter t years after the first year the grains were deposited?

On Tuesday, a local gas station had 135 customers. The table 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?

In the system of equations above, a is a constant. For which of the following values of a does the system have no solution?
-3x + y = 6
ax + 2y = 4

As shown in the figure , triangle ABC is similar to triangle DEF. What is the value of ?

A circle in the xy-plane has center and radius 3. Which of the following is an equation of the circle?

If and  , what is the value of t?

The given equation relates the positive variables a , b , c and m. Which equation correctly expresses m in terms of a , b and c?

For the given function f , the value of f(x) increases by  for every increase of x by 6 . What is t he value of p?

In the xy-plane, the graph of the function has two x intercepts. What is the distance between the x-intercepts?

The function f is defined by , where a, b and c are constants. The graph of y = f(x) in the xy-plane passes through the points (7,0) and (-3,0). If a is an integer greater than 3, which of the following could be the value of ?

In the figure shown, points A , B , C and E lie on the circle, and AB < BC. Segment AC is perpendicular to segment BE at point D , and. The diameter of the circle is 97. If , what is the value of r?