PSAT Math Multiple-Choice Practice Test 55

1. Solve for

B.

C.

2. A rock is made up by volume of 32% coal, which has a specific gravity (expressed in grams per cubic centimeter) of 1.20. The rock contains 29% granite with a specific gravity of 2.60. The rock also contains 39% of an unknown mineral. If the specific gravity of the entire rock is 1.4, the unknown material has what approximate specific gravity?

3. A train is traveling for 5 hours at a constant rate of x miles per hour and then travels an additional hours at a speed of miles per hour. If the train travels a total of 300 miles during these two segments, which equation could be used to solve for x?

4. (6a³)³ - (2b)⁴ + c^-2 = ?

A.

B.

C.

D.

Questions 5-7 refer to the following information.

5. The relationship between year and stock price is most exponential during what range of years?

6. Between which two-year period does the Company X stock price undergo the greatest percentage increase?

7. A stockbroker sold $1,000 in shares of Company X stock. Approximately how many more shares would she have sold if the stock price is taken at the minimal value in the graph versus at the maximum value in the graph?

8. If f(a) = a² - 12, what is f(b - a)?

9. Six identical isosceles triangles are arranged as shown in the figure below. If one side of each triangle has length a and if the other two sides each have length b, what is the outside perimeter of the figure above in terms of a and b?

10. Which of the following could be an equation for the function graphed in the xy-plane below?