SAT Pastpaper with Solutions

The values in data sets S and T are given. Which of the following is a true statement comparing the means of the two data sets?
Data set S: 2 , 3 , 8 , 8 , 11 , 24
Data set T: 3 , 8 , 8 , 11 , 24

Similar right triangles ABC and DEF are shown, where B corresponds to E. If the measure of angle E is , what is the measure of angle C?

To make a bookcase, a woodworker charged a onetime fee plus per hour worked. The equation  represents this situation, where h is the number of hours worked. Which of the following is the best interpretation of 45 in this context?

The valve of a water tank remained open for 44 seconds. The water tank contained 7,854 liters of water before the valve was opened and 1,192 liters of water once the valve was closed. Approximately how many liters of water, on average, drained from the tank each second while the valve was open?

If , where , what is a in terms of x?

Last week, a softball equipment company made from the sale of equally-priced bats and equally-priced gloves. When b is the number of bats sold and g is the number of gloves sold, the equation 500b + 300g = 26,000 represents this situation.
The sales price of each glove is how many dollars less than the sales price of each bat?

The table summarizes the UV index value recorded by a research assistant at noon each day for 49 days.

According to the table, a UV index value of 1 was recorded on how many days?

The given system of equations has one solution at (x,y). What is the value of ?

The table shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?

In a class, there are 80 students, 60 of whom like mathematics, 45 like physics, and 15 like both mathematics and physics. If a student is randomly selected from this class, what is the probability that the student likes at least one subject (math or physics)?

A certain ant colony contains 96,000 ants. A disease infects the colony, causing the number of ants to decrease by one-half every 4 days. How many ants remained in the colony 20 days after the infection started?

A right circular cylinder has a height of 5 meters (m) and a base with a diameter of 16 m. What is the volume, in m³ , of the cylinder?

When the given system of inequalities is graphed in the xy-plane, one of the solutions is . Which of the following could be the value of y?
x < 53
x - 7y < 16

A certain neighborhood had a population of 1,650 in 1999. Each year for the next 5 years, the population of the neighborhood increased by approximately 2% of the population the previous year. Which of the following equations represents the population, N, of the neighborhood t years after 1999, where t ≤ 5?

If s and t are positive, which of the following expressions is equivalent to the given expression?

In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the given equation?
-2x + 3y = 6

A certain collector's item increased in value every month for the first six months after it was purchased. The graph shows the value, y, in hundreds of dollars, of the item x months after it was purchased, where . Which of the following is the best interpretation of the y-intercept of the graph in this context?

Which of the following systems of linear equations has exactly one real solution?

The n^th term of a sequence is represented by s, and each term after the first term is one-half of the preceding term. If the first term of the sequence is 56, which of the following equations expresses s in terms of n?

The equation represents line n. Line m is obtained by shifting line n up 2 units in the xy-plane. The x-intercept of the graph of line m is . What is the value of a?