Digital PSAT Math Practie Test 2: Problem-Solving and Data Analysis

1

A subway map is drawn to scale so that 1 inch on the map corresponds to 2 miles of actual distance on the track. The subway train travels at a constant average rate of 30 miles per hour. How many minutes will a journey on the subway take if the track distance as portrayed on the map is 3 inches?

2

An electronic reader typically costs $100. However, the price is heavily discounted due to both a coupon and a sale that have the same percent off the regular price. If the price using both the coupon discount and the sale discount is $49, what is the percent off the regular price that the coupon and the sale each provide independently?

3

If n percent of 80 is 20, what is n percent of 220?

4

If 132 men and 168 women are living in a dormitory, what percent of the total dormitory residents are men?

5

If 1 Canadian dollar can be exchanged for 0.80 U.S. dollars and vice versa, how many Canadian dollars can a traveler receive in exchange for 120 U.S. dollars?

6

David is developing a fitness plan and wants to get his weight to a level that will be considered healthy in terms of the body mass index (BMI) calculation. The currently recommended BMI is between 18.6 and 24.9. To calculate BMI using inches and pounds, David takes his weight in pounds and divides it by the square of his height in inches. Then he multiplies the entire result by 703. David is 6 feet, 3 inches tall and currently weighs 260 pounds. To the nearest whole pound, what is the least number of whole pounds he needs to lose in order for his BMI to be within the healthy range?

7

A marine biologist has conducted research into the population of blue whales over the past few decades. The estimated global blue whale population is plotted against the given year in the graph below:

From 1940 until 1970, the best-fit equation for the values of the blue whale population has which general characteristic?

8

A marine biologist has conducted research into the population of blue whales over the past few decades. The estimated global blue whale population is plotted against the given year in the graph below:

A worldwide treaty prohibiting commercial whaling (i.e., the hunting of whales) was passed at some point between 1930 and 2010. Based on the data, what is the year when this treaty most likely went into effect?