SAT Pastpaper with Solutions

A store owner recorded the number of units of a certain product that were sold per day for 28 days. What is the minimum number of units of this product sold per day for these 28 days?

The function estimates the temperature, in degrees Fahrenheit ( ), in a  certain city one day in January, where is the number of hours after 10 a.m. and . Which statement is the best interpretation of in this context?

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

If and , what is the value of ?

A botanist wants to plant certain types of oak trees and pine trees in a 600-foot-long row. Each of these oak trees requires 40 feet of space to grow, and each of these pine trees requires 30 feet of space to grow. The equation models the possible number of oak trees, , and pine trees, , that the botanist can plant. Which graph represents this relationship?

The number of bacteria in a liquid medium doubles every day. There are 72,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, , in the liquid medium days after the start of the observation?

For a certain isotope, at the end of every 29-year period, the mass of a sample of the isotope has decayed to half its mass at the beginning of the 29-year period. The function gives the approximate mass of this isotope, in grams, that remains years after a 216-gram sample starts to decay. Which statement is the best interpretation of in this context?

In the figure shown, line is parallel to line , and both lines are intersected by line . If , and , where is a constant, what is the value of ?

The functions and are given. In function is a constant. If , what is the value of ?

g(x)=3x²-rx+48

The positive number a is 2800% of the number c, and c is 20% of the number b. What is the value of a - b in terms of c.

A circle is inscribed in a square such that the circumference of the circle touches the midpoint of each side of the square. The length of the diagonal of the square is 176 units. What is the area, in square units, of the circle?

Lines and are graphed in the -plane. The graph of line has a slope of and an -intercept at . Line is the result of translating the graph of line down 4 units. What is the -coordinate of the -intercept of the graph of line ?

For each of two rectangles, the ratio of the rectangle's length to its width is 10 to 5. The width of rectangle  is 16.5 times the width of rectangle . How does the length of rectangle compare to the length of rectangle ?

What is the solution to the given equation? (k+21=63)

Point lies on a unit circle in the -plane and has coordinates . Point is the center of the circle and has coordinates . Point also lies on the unit circle, and the measure of angle is radians. If the coordinates of point are , where and are constants, what is the value of  ?

Rectangle is similar to rectangle . The area of rectangle is 648 square inches, and the area of rectangle is 72 square inches. The length of the longest side of rectangle is 36 inches. What is the length, in inches, of the longest side of rectangle ?

For each real number , which of the following points lies on the graph of each equation in the -plane for the given system?
=3
=12

In the given expression, is a positive integer. If is a factor of the expression, where and are positive integers, what is the greatest possible value of ?

If , the value of is between which of the following pairs of values?

A computer repair specialist charges for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 4 hours of repair is . Which function gives the total cost, in dollars, for hours of repair, where ?