SAT Pastpaper with Solutions

For the right circular cone shown, B is a point on the circumference of the base, and the length of segment AB (not shown)is 84 centimeters. If the height of the cone is 42 centimeters and the volume of the cone is kπ cubic centimeters,what is the value of k ?

A researcher observes a sample of a nuclide.An exponential model estimates that the mass,in grams, of the sample decreases by 23% every 11.69 minutes. which of the following.equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample?

The solution to the given system of equations is (x,y).What is the value of x+y ?
7y=-6x+2,170
24x-28y=1,400

The measure of angle C is radians. What is the value of cos(C) ?

which table gives four values of x and the f(x) corresponding values of f(x) for the given exponential function?

Line t is defined by y = -1/2 x+14. Line s is perpendicular to line t in the xy-plane. What is the slope of line s?

In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees . The value of sin(R) is  . What is the value of cos(S) ?

Harper has $110 in an account. Each year she expects to have 2.7% more money in the account than she had the previous year .Which of the following models best describes how Harper expects the money in her account to change over time?

A chemist performed an experiment using a set of beakers that can each be modeled by aright circular cylinder with a height of 53 millimeters. The equation y = 53 πx² gives the volume y, in cubic millimeters, of the right circular cylinder that models a beaker in this set,where x is the radius, in millimeters.When the beaker radius is 10 millimeter, what is the volume of the beaker?

A student needs at least 190 signatures from classmates to run for class president. The student collects 30 signatures on Monday and collects enough additional signatures on Tuesday to run for class president. which inequality represents the number of additional signatures,s,that the student collects on Tuesday?

In the figure shown,triangle CAE is similar to triangle CBD. The measure of angle CBD is 59° , and AE= 28(BD). What is the measure of angle CAE?

The price of an object increased from $16 to $80. what was the percent increase in the price of the object?

The function f is defined by f(x) = 2x-. what is the y-intercept of the graph of y = f(x) in the xy-plane?

In the given equation, k is a constant. The equation has infinitely many solutions. what is the value of k ?
7x+21=7x+k

A line segment that has a length of 150 centimeters (cm) is divided into four parts. One part is 60 cm long, and the other three parts have lengths that are equal to each other. What is the length, in cm, of one of the other three parts of equal length?

The equation v(t)=15+3t gives the speed v, in meters per second, of a bicycle t seconds after it begins to accelerate. What is the speed, in meters per second, of the bicycle 5 seconds after it begins to accelerate ?