SAT Pastpaper with Solutions

Which expression is equivalent to ?

A survey of 200 people in a small town determined that 130 of the people have at least one pet. Based on this survey, if there are 5000 people in the town which of the following is the best estimate for the number of people in the town who have at least one pet?

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie.

Which of the following inferences can appropriately be drawn from this survey result?

The given equation relates the non-zero numbers s, s, and t. Which equation correctly expresses r in terms of s and t?

The relationship between two variables, x and y, is linear. For every increase in the value of x by 1, the value of y decreases by 5. When the value of x is 3 the value of y is 0. Which equation represents this relationship?

The number of bacteria in a petri dish doubles every hour. There are 23,000 bacteria in the dish at the start of an observation. Which equation represents the number of bacteria, y, in the dish t hours after the start of the observation?

How many distinct real solutions does the given equation have?

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

In the triangle shown, what is the value of cos x°?

The solution to the given system of equations is (x, y). What is the value of 24x?

A bottle of cough syrup is 300 milliliters, of which is pure sugar. The bottle is created by adding mixture A to mixture B. Mixture A is pure sugar, and mixture B is pure sugar. Of the pure sugar in the entire cough syrup bottle, how many milliliters are from mixture A?

A right square pyramid has a height of 48 feet and a volume of 90 thousand cubic feet. What is the length, in feet, of one side of the base of the pyramid?

For two acute angles, ∠Q and∠R, . The measures, in degrees, of ∠Q and∠R are x + 61 and 4x + 4, respectively.
What is the value of x?

The scatterplot shows the relationship between two variables, x and y. An equation for the exponential model shown can be written as, where a and b are positive constants. Which of the following is closest to the value of a?

On a plot of land, 43.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 28% of the square footage of the farmland, and there are buildings on exactly 12.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?

A quadratic function models the height, in meters, of an object above the ground in terms of the time, in seconds, after the object was launched. According to the model, the object was launched from a height of 0 meter and reached its maximum height of 2,592 meters 18 seconds after it was launched. Based on the model, what was the height, in meters, of the object 11 seconds after it was launched?

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

The function P models the population, in thousands, of a certain city t years after 2009 According to the model, the population is predicted to increase by n% every 8 months. What is the value of n?

An employee earns per hour for the first 30 hours worked in a week. For each hour worked over 30 hours, the employee earns  per hour. What is the least number of whole hours that the employee must work in a week to earn at least ?

The function f is defined by , where a and b are constants. In the xy-plane, the graph of contains the points and . What is the minimum value of f(x)?