PSAT 8/9 Math Multiple-Choice Practice Test 4

1. In the expression x² + cx – 8, c is an integer. If the expression can be rewritten as the equivalent expression (x – c)(x + 4), which of the following is the value of c?

2. Kendall is baking a cake that requires 0.8 quarts of cream, but her measuring cup only measures liters. There are 1.06 quarts in 1 liter. Which of the following is the approximate number of liters of cream Kendall needs for the recipe?

3. Jeshua is making flashcards. He can make 18% of the flashcards he needs per hour, on average. If Jeshua continues at this rate, which of the following is the approximate number of flashcards he can make in one hour if he needs 398 flashcards?

4. Number of Times Jolly Retrieved the Toy Throughout the Day

The two-way table above shows the number of times Jolly the puppy will retrieve a ball or a stuffed animal at different times of the day. What was the average number of times Jolly retrieved the stuffed animal throughout the day?

5. Fibi has a fish tank that can hold a given number of cubic centimeters of water. She measures her fish tank and finds that it has a length of 1,219 millimeters, a width of 0.305 meters, and a depth of 406 millimeters. What are the measurements (length, width, and depth, respectively) of her fish tank in centimeters? (Note: 1 centimeter = 10 millimeters, and 1 meter = 100 centimeters)

6. Brent, an accounting firm owner, donates a specific percentage of his firm’s annual profit to charity. If Brent’s firm made $654,000 last year and donated $52,320, how much money will his firm donate if its annual profit is $575,000 this year?

7. The table below displays coordinate pairs of a function.

Of the equations listed, which of the following correctly displays the relationship between the values of x and f(x) in the table?

8.

Which of the following functions represents the parabola graphed in the xy-plane above?

9. There are 210 members of a fitness center. A poll answered by a random sample of 30 members found that 7 of those members own exercise equipment at home. Approximately how many of the total members of the fitness center can be expected to own exercise equipment at home?

10.

The data table above shows the distribution of distance from the Sun for nine planets, including the dwarf planet Pluto, in Earth’s solar system. If an astronomer randomly selects one of these planets to investigate further, what is the probability that the planet’s distance from the Sun is greater than 999 million miles?

A.

B.

C.

D.

11. A group of students observed that there was a relationship between the hours a petri dish was left to incubate and the resulting number of cells in the petri dish. The graph below displays their findings as well as a best-fit line drawn by one of the students.

Which of the following is the correct approximate average hourly increase in the number of cells, based on the best-fit line in the graph?