Digital PSAT Math Practie Test 11: Problem-Solving and Data Analysis

1

A student writes a double-spaced typed paper using Times New Roman 12-point font. He finds that each page contains an average of 240 words. If the student changes to Comic Sans 12-point font, each page contains an average of only 170 words. If the student is required to write a 10-page double-spaced report, how many fewer words would he be required to write if the teacher accepts Comic Sans 12-point font instead of Times New Roman 12-point font?

2

On a map of a rectangular fenced-in area, the drawing of the enclosed area has a surface area of 20 square inches. If one side of the fenced-in area drawing is 4 inches long and the key of the map indicates that for every 1 inch drawn on the map there are 6 feet in actual distance, what is the perimeter of the actual fence, assuming there are no gaps or gates?

3

John's performance on his first test was only 60%. His performance increased by 20% on the next test, and it increased an additional 25% on the third test. What did John earn on the third test, to the nearest whole percent?

4

Linda's 15-gallon car tank has only 2 gallons left when she pulls into a gas station. She wants to purchase only the gas she will need to drive 240 miles and still have 1 gallon remaining. Her car gets 28 miles to the gallon. How many gallons should Linda purchase, to the nearest tenth of a gallon?

5

If you were to graph dollars per shake-up along the x-axis and quantity of shake-ups sold per week at the set price on the y-axis, which of the following would be a property of the function between the values of 3 and 5 dollars?

6

At which of the following prices of a lemon shake-up would the total revenue be maximized?

7

A scientist surveys 16 randomly selected teenage students, recording their ages and their average number of hours of nightly sleep.

If x represents the age and y represents the average hours of sleep, which of the following gives the equation of the best-fit line for the survey results?

8

A scientist surveys 16 randomly selected teenage students, recording their ages and their average number of hours of nightly sleep.

Which of the following would most likely cause the greatest obstacle to the accuracy of the sleep survey results?

9

What choice most closely approximates the slope of the best-fit line of the graph above?

A.

B.

C.

D.

10

What is the most logical explanation as to why the x- and y-axes begin as they do, as opposed to at zero values?