SAT Pastpaper with Solutions

Point lies on a unit circle in the xy-plane and has coordinates . Point is the center of the circle and has coordinates . Point also lies on the circle and has coordinates , where x is a constant.

Which of the following could be the positive measure of angle, in radians?

The following table shows information about the participants in a community event by their age group and their place of residence. If a participant is chosen at random, what is the probability that the chosen participant lives in City B?

During a hike, a hiker's walking speed varied between 3 miles per hour and 4 miles per hour. Which inequality best represents this situation, where s is the walking speed, in miles per hour, during the hike?

In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square, what is the perimeter of the square?

The function gives the estimated population of a certain species of bird in a region, where t is the number of years since a study began. The function is given by:

How many years after the study began was the population of the birds estimated to be 600?

The graph of the equation is shifted up by 3 units in the xy -plane. What is the y-intercept of the resulting graph?

A rectangle has a width of m meters and a length of meters. If the area of the rectangle is 45 square meters, what is the perimeter of the rectangle?

Scientists are studying a different species of ant, P. texanus, and they found that if a colony has x worker ants, the equation y=0.8x+3.5, here 30≤x≤120, predicts the number of larvae y in the colony. If a colony has 70 worker ants, what is the predicted number of larvae?

In triangle ABC, the measure of angle A is 45°, the measure of angle B is 65°, and the length of side AB is 8 units. In triangle PQR, the measure of angle P is 45°, the measure of angle Q is 65°, and the length of side PQ is 10 units.Which of the following additional pieces of information is needed to determine whether triangle ABC is similar to triangle PQR?

A plumber charges $120 for the first 3 hours of work, plus an hourly fee for each additional hour. The total cost for 6 hours of work is $180. Which function f(x) gives the total cost, in dollars, for x hours of work, where x≥3?

Rectangle PQRS is similar to rectangle UVWX. The area of rectangle PQRS is 500 square inches, and the area of rectangle UVWX is 125 square inches. The length of the longest side of rectangle PQRS is 25 inches. What is the length of the longest side of rectangle UVWX?

A circle is inscribed in a square such that the circumference of the circle touches the midpoint of each side of the square. The length of the diagonal of the square is 200 units. What is the area, in square units, of the circle?

Line m has a slope of 5/2 and a y-intercept at (0,6). Line n is the result of translating the graph of line m up 3 units. What is the y-coordinate of the y-intercept of the graph of line n?

The positive number x is 500% of the number y, and y is 40% of the number z. What is the value of x−z in terms of y?

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

An object is launched from the ground into the air. According to a quadratic model, the object reaches its highest point of feet above the ground 4.2 seconds after being launched. Which equation represents this model, where f(t) is the height of the object (in feet) above the ground at t seconds after launch?

The given function g models the population of a city, in thousands of people, y years after it is first recorded. Which statement is the best interpretation of ?

A certain plant grows 24 centimeters every p months. At this rate, which expression represents the number of centimeters, on average, the plant grows every q years?

The given equation represents circle P in the xy-plane. Circle Q has a center that is 4 units to the right of and 3 units above the center of circle P. Circle Q has a radius that is three times the radius of circle P.

Which equation represents circle Q?

Data set A and data set B each have 11 values. Which of the following statements best compares the median of data set A and the median of data set B?
Data set A: 3, 3, 5, 6, 7, 9, 12, 13, 14, 15, 16

Data set B: 4, 4, 7, 8, 8, 8, 10, 10, 11, 12, 15

Which of the following statements best compares the median of data set A and the median of data set B?

This equation represents a circle in the xy-plane. The point lies on the circle.

Which of the following is a possible value for a?