SAT Pastpaper with Solutions

The product of a positive number and the number that is 1 less than is equal to 342. What is the value of ?

A cylinder has a diameter of 14 inches and a height of 8 inches. What is the volume, in cubic inches, of the cylinder?

In the given system of equations, is a constant. The graphs of the equations in the given system intersect at exactly one point, , in the -plane. What is the value of ?

Note: Figure not drawn to scale. In triangle is extended to point . The measure of is , and the measure of is . What is the measure of ?

Eli used wax to make candles. The function approximates the weight, in ounces, of wax Eli had remaining after making candles. Which statement is the best interpretation of the-intercept of the graph of in the -plane in this context?

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

The function is defined by . What is the value of when is equal to 10,000 ?

If and , what is the value of ?

A piece of string with a length of 35 inches is cut into two parts. One part has a length of  inches, and the other part has a length of inches. The value of is 5 more than 2 times the value of . What is the value of ?

The function gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of kelvins. If a temperature increased by 8.80 kelvins, by how much did the temperature increase, in degrees Fahrenheit?

An environmental scientist is investigating the volatility of 175 organic compounds by finding the boiling point of each compound. The mean boiling point of all 175 compounds is 167 degrees Celsius. The scientist classifies each of these compounds as either semivolatile or volatile. Of the 175 compounds,50 compounds were classified as semivolatile, and these 50 compounds have a mean boiling point of 327 degrees Celsius. The remaining 125 compounds were classified as volatile. What is the mean boiling point, in degrees Celsius, of the 125 compounds classified as volatile compounds?

Line is defined by . Line is parallel to line in the -plane and passes through the point . Which equation defines line ?

For the given function , the value of increases by for every increase of by 6 . What is the value of ?

A carpenter charges a flat rate of for the first 3 hours of work and for each additional hour of work. Which equation gives the total amount , in dollars, that the carpenter charges for hours of work, where ?

For what value of is the given expression equivalent to, where ?

The table summarizes the distribution of age and assigned group for 105 participants in a study.

One of these participants will be selected at random. What is the probability of selecting a participant from group A, given that the participant is at least 10 years of age?

The table shows three values of and their corresponding values of, where  and is a linear function. What is the -intercept of the graph of in the-plane?

The mass of object is of the mass of object , and the mass of object is of the mass of object . If the mass of object is of the mass of object , what is the value of ?

In the given equation, is a constant. If the equation has exactly one solution, what is the value of ?