SAT Pastpaper with Solutions

The population of a certain city doubled every 25 years from 1660 to 1760. The population of this city was 208,000 in 1760. What was the population of this city in 1660?

The function gives the predicted intensity of a beam f(x) , in number of photons in the beam, x millimeters below the surface of a certain material. What is the best interpretation of ?

For the linear function h, h(0) = 0 and h(11) = 5. Which equation defines h?

Hassan put up wire fencing along each edge of a rectangular garden with a length of x feet and a width of y feet. Hassan put up a total length of 44 feet of wire fencing. Which equation represents this situation?

The point ( x,54) is a solution to the given system of inequalities in the xy-plane. Which of the following could be the value of x?
y > 17
4x + y < 21

A linear function f gives a company's profit, in dollars, for selling x items. The company's profit is when it sells 4 items, and its profit is when it sells 10 items. Which equation defines f?

The circumference of the base of a right circular cylinder is meters, and the height of the cylinder is 19 meters. What is the volume, in cubic meters, of the cylinder?

Each of the following frequency tables represents a data set. Which of these fr quency tables represents the data set with the minimum standard deviation?

A carnival receives for each adult admission ticket sold and  for each child admission ticket sold. On a particular day, the carnival received a total of from selling adult and child admission tickets. If 220 adult admission tickets were sold on that day, how many child admission tickets were sold?

The graphs of the equations in the given system intersect at the point (x,y) in the xy-plane. What is a possible value of y?
y - x = 32
y = x² - 30x

The function c gives the partial length, in centimeters (cm), of the circumference of a circle with a radius that measures r cm. According to the function, for each increase of 18 cm in the length of the radius, this partial length of the circumference increases by kπ cm. What is the value of k?

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

The function k is defined by . If k(53p) = p, where p is a constant, what is the value of p?

A computer program models the population of a certain insect in an environment where the insect has no natural predators. According to the model, the estimated total mass of the population of insects at the end of every 5 -week period is 158% greater than the estimated total mass of the population of insects at the end of the previous 5 -week period. The estimated total mass of the population of insects at the end of 15 weeks is 627.7 grams. Which equation best represents this model, where M is the estimated total mass, in grams, of the population of insects at the end of t weeks?

The value of an autographed baseball increased by from the end of 2012 to the end of 2013 and then decreased by from the end of 2013 to the end of 2014. What was the net percentage increase in the value of the autographed baseball from the end of 2012 to the end of 2014?

If n and k are numbers greater than 1 and is equivalent to , for what value of a is n^2a+1 equal to k?

For triangle ABC , the length of AB is 11 less than the length of AC. Point D (not shown) lies on AC such that BD (not shown) is perpendicular to AC. What is the value of ?

The area of a rectangular region is increasing at a rate of 280 square feet per hour. Which of the following is closest to this rate in square meters per minute? (Use 1 meter = 3.28  feet.)