PSAT Math Multiple-Choice Practice Test 16

The use of a calculator is permitted.

1. If a patient in the study is selected at random, which of the following is closest to the probability that the patient will have a recovery time of more than 6 months?

2. A circle is graphed in the xy-plane. If a circle has center (-3, 5) and a radius of 4, which of the following could be an equation of the circle?

3. A piano player charges a flat fee for an appearance plus an hourly rate based on the length of the performance. The equation C = 100t + 50 will relate the total charge C, in dollars, for a performance to the time t, in hours, of a performance. Based on this equation, how many additional hours will the length of the performance need to be for the piano player to charge an additional dollar?

4. Equal amounts of fencing are used to surround both an octagonal area and a square area. If each side of the octagon is 5 yards shorter than each side of the square, how many yards of fencing are needed to surround each area?

5. In the xy-plane, the graph of the function f is a parabola. If the graph off intersects the x-axis at (k, 0) and (3, 0), and the vertex of f is at (5, -3), what is the value of k?


Which of the following is an equivalent form of rational function g that displays as constants or coefficients values that are not part of the domain?

7. SA = 4πr2

The formula for the surface area of a sphere with radius r is shown above. The radius of a volleyball is about 3 times the radius of a tennis ball. If a volleyball and a tennis ball are spherical, approximately how many times larger is the surface area of a volleyball than the surface area of a tennis ball?

8. A particle accelerates at a constant rate from a velocity of 20 meters per second to a velocity of 50 meters per second in 10 seconds. Which of the following expresses the velocity V, in meters per second, in terms of the time t, in seconds, after the acceleration began, for 0 ≤ t ≤ 10?

9. If the function h is defined by h(x) = 2x2 - 7x - 3, what is h(x + 3)?


The equations of two lines are shown above. If the lines are graphed on the xy-plane, which of the following ordered pairs represents the point of intersection of the two lines?

11. The amount of carbon-14 in a sample halves every 5,730 years. Which of the following best describes the type of decay that models the relationship between amount of carbon-14 and time?

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