SAT Pastpaper with Solutions

The graph of a system of a linear equation and a quadratic equation is shown. Which of the following is a solution (x, y) to the system?

An object moves at a speed of feet per second. What is this speed, in yards per minute?
( 3 feet = 1 yard

A circle has a area of square centimeters. What is the circumference, in centimeters, of the circle?

Which expression is equivalent to ?

Circle A has a diameter of 10 millimeters (mm). Circle B has an area of 121π mm². What is the total area, in mm², of circles A and B?

For 135 neurons, the table summarizes the distribution of classification and cell body diameter.

One of these neurons will be selected at random. What is the probability of selecting a neuron with a cell body diameter more then 30 micrometers, given that it is not classified as a sensory neuron?

The population of a certain city doubled every 50 years from 1549 to 1749. The population of this city was 16,000 in 1749. What was the population of this city in 1649?

In right triangle ABC,  . What is the length of AB?

Which inequality represents the x values for all solutions (x,y) that satisfy the given system of inequalities in the xy-plane?

The given equation relates the variables M, N, and Q. Which expression represents the value of Q for distinct positive values of M and N?
MQ = N ( 44 - Q )

In the given expression, n is a constant and x > 1. The expression can be rewritten as . What is the value of n?

In the figure shown, the measure of angle Y is 29°. The length of XY is 34 units and the length of YZ is 29 units. What is the area, in square units, of triangle XYZ?

The function z is defined by the equation shown. The value of f(w) increases by for each increase by 1 in the value of w. Which of the following is closest to the value of p?

In the given equation, m and n are constants. The equation has no solution. What is the value of m?

In the given equation, m and n are positive constants. The product of the solutions to the given equation is , where k is a constant. What is the value of k?

The speeds of particles A, B, and C are a meters per second, b meters per second, and c meters per second, respectively. If the speed of particle A is of the speed of particle C and the speed of particle C is of the speed of particle B, which expression represents the value of a+b in terms of c?

A quadratic function models the height, in feet, 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 feet and reached its maximum height of 1,936 feet 11 seconds after it was launched. Based on the model, what was the height, in feet, of the object 8 seconds after it was launched?

One of the equations in a system of two linear equations is given, where m is a positive constant. The system has no solution. Which equation could be the second equation in this system?

9(x - m) = 18y + 18m

The given expression can be rewritten as , where a, b, and c are constants. What is the value of ?

In the given equation, a and k are constants, where 2k > 3a. The sum of the solutions to the equation is 8k+48. What is the value of a?